ABSTRACT
Title of dissertation: INTEGER PROGRAMMING-BASED
HEURISTICS FOR VEHICLE
ROUTING PROBLEMS
Damon J. Gulczynski
Doctor of Philosophy, 2010
Dissertation directed by: Professor Bruce Golden
Applied Mathematics and Scientific Computation
Robert H. Smith School of Business
The vehicle routing problem (VRP) has been an active field of study by opera-
tions researchers for over 50 years. Many practical applications have been presented
in the literature, and many solution techniques have been developed.
We discuss, develop, and computationally test integer programming-based
heuristics for several variants of the standard VRP. We use integer programming
to model the split delivery VRP with minimum delivery amounts, the multi-depot
split delivery VRP, the period VRP, the standard VRP, and the multi-depot VRP.
We apply our heuristics to benchmark problems from the literature and generate
many new problems with high-quality, visually-estimated solutions. Our heuristics
produce high-quality solutions in a reasonable amount of computer time. Overall,
our new IP-based heuristics are very competitive with the best methods found in
the VRP literature to date.
INTEGER PROGRAMMING-BASED
HEURISTICS FOR VEHICLE
ROUTING PROBLEMS
by
Damon John Gulczynski
Dissertation submitted to the Faculty of the Graduate School of the
University of Maryland, College Park in partial fulfillment
of the requirements for the degree of
Doctor of Philosophy
2010
Advisory Committee:
Professor Bruce Golden, Chair/Advisor
Professor Zhi-Long Chen
Professor Paul Schonfeld
Professor Konstantina Trivisa
Professor Edward Wasil
c? Copyright by
Damon J. Gulczynski
2010
Acknowledgments
I am truly indebted to many people for their help with this dissertation. First,
I thank my family, especially my parents, and my soon-to-be wife Shaila. Their love
and support means everything to me. Words cannot express my gratitude to them.
Next, I thank my advisor Dr. Bruce Golden. Dr. Golden introduced me to
vehicle routing problems and guided my research in the field since my first year
as a graduate student. Without his direction and wisdom none of my work is
possible. I also thank Dr. Edward Wasil for the countless hours he spent reviewing
this dissertation. His excellent comments and suggestions, not only improved my
work, they helped me become a better writer. For that, I am very grateful.
I thank Dr. Chris Gro?er for providing me with his source code and always
taking time to answer my questions. I thank Dr. Martin Savelsbergh for his help
with the MDVRP work. I thank Dr. Larry Levy and Roy Dahl at Routesmart
Technologies, Inc. for their insights on the vehicle routing industry. I thank Dr.
Konstantina Trivisa, Dr. Zhi-Long Chen, and Dr. Paul Schonfeld, for taking time
out of their busy schedules to serve on my dissertation defense committee.
Finally, I thank my friend Jeff. His midnight, long-distance phone calls never
failed to brightened my mood. He seemed to always know when I most needed a
distraction.
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Table of Contents
List of Tables vi
List of Figures xix
List of Abbreviations xxiii
1 Introduction 1
2 Recent Developments in Modeling and Solving the Split Delivery Vehicle
Routing Problem 5
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.2 Summary of the Recent Literature . . . . . . . . . . . . . . . . . . . . 6
2.2.1 Heuristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.2.1.1 Tabu Search . . . . . . . . . . . . . . . . . . . . . . . 7
2.2.1.2 Genetic Algorithm . . . . . . . . . . . . . . . . . . . 9
2.2.1.3 Mixed Integer Programming with a Routing Meta-
heuristic . . . . . . . . . . . . . . . . . . . . . . . . . 10
2.2.1.4 Scatter Search . . . . . . . . . . . . . . . . . . . . . 10
2.2.1.5 Route-Optimization Heuristic using Mixed Integer
Programming . . . . . . . . . . . . . . . . . . . . . . 11
2.2.2 Exact Methods and Bound Generating Procedures . . . . . . . 13
2.2.2.1 Dynamic Programming . . . . . . . . . . . . . . . . 13
2.2.2.2 Linear Programming with Valid Inequalities . . . . . 13
2.2.2.3 Column Generation . . . . . . . . . . . . . . . . . . 14
2.2.3 SDVRP Variants . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.2.3.1 Time Windows . . . . . . . . . . . . . . . . . . . . . 15
2.2.3.2 Split Deliveries and Pickups (Backhauls) . . . . . . . 16
2.2.3.3 Heterogeneous Fleet . . . . . . . . . . . . . . . . . . 17
2.2.3.4 Real-time Events . . . . . . . . . . . . . . . . . . . . 18
2.2.3.5 Delivering Multiple Products on a Fixed Route . . . 20
2.2.3.6 Pickup and Delivery with Split Loads . . . . . . . . . 21
2.3 Computational Issues for the SDVRP . . . . . . . . . . . . . . . . . . 23
2.3.1 Problem Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.3.2 Reporting Computational Results . . . . . . . . . . . . . . . . 24
2.3.3 Summary of Computational Issues . . . . . . . . . . . . . . . 27
2.4 Conclusions and Future Directions . . . . . . . . . . . . . . . . . . . 27
3 The Split Delivery Vehicle Routing Problem with Minimum Delivery Amounts 29
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
3.2 Literature Review of the SDVRP . . . . . . . . . . . . . . . . . . . . 32
3.3 Properties of the SDVRP-MDA . . . . . . . . . . . . . . . . . . . . . 34
3.4 Solving the SDVRP-MDA . . . . . . . . . . . . . . . . . . . . . . . . 39
3.4.1 Formulating the SDVRP-MDA as a Mixed Integer Program . 39
iii
3.4.2 Combining EMIP-MDA with Record-to-record Travel . . . . . 42
3.5 Computational Experiments . . . . . . . . . . . . . . . . . . . . . . . 45
3.5.1 Establishing the Quality of EMIP-MDA + ERTR on Standard
VRPs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
3.5.2 Establishing the quality of EMIP-MDA + ERTR on Standard
SDVRPs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
3.5.3 Establishing the quality of EMIP-MDA + ERTR on SDVRP-
MDAs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
3.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
3.7 Appendix I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
3.8 Appendix II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
4 The Multi-depot Split Delivery Vehicle Routing Problem 62
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
4.2 Literature Review of the MDVRP and the SDVRP . . . . . . . . . . 64
4.3 An Integer Programming-based Heuristic for the MDSDVRP . . . . . 65
4.3.1 Assigning Customers to Depots . . . . . . . . . . . . . . . . . 65
4.3.2 Solving the SDVRP on Each Depot Separately . . . . . . . . . 66
4.3.3 Formulating the MDSDVRP as a Mixed Integer Program . . . 68
4.3.4 Improving Routes with an Inter-depot Routing Algorithm . . 71
4.4 Computational Experiment with IDH . . . . . . . . . . . . . . . . . . 73
4.4.1 Analysis on Modified MDVRPs . . . . . . . . . . . . . . . . . 73
4.4.2 Performance on MDSDVRPs with Visually Estimated Solutions 76
4.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
4.6 Appendix I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
4.7 Appendix II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
5 The Period Vehicle Routing Problem 84
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
5.2 Literature Review of the PVRP . . . . . . . . . . . . . . . . . . . . . 87
5.3 An Integer Programming-based Heuristic for the PVRP . . . . . . . . 88
5.3.1 Generating an Initial Solution . . . . . . . . . . . . . . . . . . 88
5.3.2 Improving the Initial Solution Using Integer Programming . . 89
5.3.3 Improving Daily Routes Using Record-to-record Travel . . . . 92
5.3.4 Customer Removal and Reinsertion . . . . . . . . . . . . . . . 93
5.3.5 Computational Experiment with IPH . . . . . . . . . . . . . . 94
5.4 PVRP in Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
5.4.1 The PVRP with Reassignment Constraints . . . . . . . . . . . 99
5.4.1.1 Formulation . . . . . . . . . . . . . . . . . . . . . . . 99
5.4.1.2 Hard Reassignment Constraints . . . . . . . . . . . . 101
5.4.1.3 Soft Reassignment Constraints . . . . . . . . . . . . 105
5.4.1.4 Restricted Reassignment Constraints . . . . . . . . . 108
5.4.2 The PVRP with Balance Constraints . . . . . . . . . . . . . . 110
5.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114
5.6 Appendix I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
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5.7 Appendix II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
6 The Vehicle Routing Problem 120
6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
6.2 Literature Review of the VRP . . . . . . . . . . . . . . . . . . . . . . 122
6.3 An Integer Programming-based Heuristic for the VRP . . . . . . . . . 123
6.3.1 Generating and Improving an Initial Solution . . . . . . . . . 123
6.3.2 Customer Removal and Reinsertion . . . . . . . . . . . . . . . 128
6.4 The Enhanced Record-to-record Travel Algorithm . . . . . . . . . . . 131
6.5 Computational Experiment with VIPH . . . . . . . . . . . . . . . . . 131
6.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136
7 The Multi-depot Vehicle Routing Problem 137
7.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
7.2 Literature Review of the MDVRP . . . . . . . . . . . . . . . . . . . . 139
7.3 An Integer Programming-based Heuristic for the MDVRP . . . . . . 140
7.3.1 Generating an Initial Solution . . . . . . . . . . . . . . . . . . 140
7.3.2 Improving a Solution Using Integer Programming . . . . . . . 141
7.3.3 Improving the Routes of Each Depot Separately Using Record-
to-record Travel . . . . . . . . . . . . . . . . . . . . . . . . . . 148
7.3.4 Reinitializing a Solution . . . . . . . . . . . . . . . . . . . . . 148
7.3.5 Computational Experiment with MDIPH . . . . . . . . . . . . 152
7.3.5.1 Performance on Benchmark Problems . . . . . . . . 152
7.3.5.2 Improvement Analysis . . . . . . . . . . . . . . . . . 157
7.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160
7.5 Appendix I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160
8 Conclusions 163
A SDVRP-MDA: Problems and Solutions 165
B MDSDVRP: Problems and Solutions 635
C PVRP: Problems and Solutions 859
D VRP: Problems and Solutions 1024
E MDVRP: Problems and Solutions 1084
Bibliography 1144
v
List of Tables
2.1 Summary of 15 SDVRP papers . . . . . . . . . . . . . . . . . . . . . 8
2.2 Results from two algorithms on SDVRPs . . . . . . . . . . . . . . . . 27
3.1 ERTR travel algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . 44
3.2 EMIP-MDA + ERTR algorithm . . . . . . . . . . . . . . . . . . . . . 45
3.3 Computational results for three algorithms on six capacitated VRPs . 46
3.4 Computational results for four algorithms on 11 SDVRPs . . . . . . . 48
3.5 Computational results for two algorithms on 21 SDVRPs . . . . . . . 50
3.6 Computational results on 21 SDVRP-MDAs with four minimum de-
livery fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
3.7 Computational results on 11 SDVRP-MDAs with four minimum de-
livery fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
3.8 Generator for new SDVRP-MDAs . . . . . . . . . . . . . . . . . . . . 61
3.9 Dimensions of new SDVRP-MDAs . . . . . . . . . . . . . . . . . . . . 61
4.1 ERTR travel algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . 67
4.2 EMIP-MDA + ERTR algorithm . . . . . . . . . . . . . . . . . . . . . 68
4.3 IDR algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
4.4 IDH algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
4.5 Computational results for IDH on 30 MDSDVRPs. . . . . . . . . . . 75
4.6 Computational results for IDH on 12 problems . . . . . . . . . . . . . 79
4.7 Generator for new MDSDVRPs . . . . . . . . . . . . . . . . . . . . . 83
5.1 ERTR travel algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . 93
5.2 IPH algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
5.3 Computational results for five algorithms on 32 PVRPs . . . . . . . . 97
5.4 Run times for five algorithms on 32 PVRPs . . . . . . . . . . . . . . 98
5.5 IPH-RCH algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
5.6 GH algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103
5.7 Computational results for two algorithms on 26 PVRP-RCHs . . . . . 104
5.8 IPH-RCR and IPH-RCH comparison on 10 PVRP-RCs . . . . . . . . 110
5.9 Routine for balancing routes . . . . . . . . . . . . . . . . . . . . . . . 112
5.10 Savings from reassignments in IPH-RCS . . . . . . . . . . . . . . . . 119
6.1 VIPH algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
6.2 ERTR travel algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . 132
6.3 Computational results for two algorithms on 15 VRPs . . . . . . . . . 133
6.4 Computational results for two algorithms on 15 VRPs with small
vehicle capacities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136
7.1 Procedure for generating an initial MDVRP solution . . . . . . . . . 142
7.2 ERTR travel algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . 149
7.3 Routine for making a VRP solution feasible . . . . . . . . . . . . . . 151
7.4 Procedure for reinitializing an MDVRP solution . . . . . . . . . . . . 152
vi
7.5 MDIPH algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153
7.6 Computational results for five algorithms on 23 MDVRPs . . . . . . . 154
7.7 Best solutions generated by five algorithms to 23 MDVRPs . . . . . . 155
7.8 Run times for four algorithms on 23 MDVRPs . . . . . . . . . . . . . 156
7.9 MDIPH improvement analysis . . . . . . . . . . . . . . . . . . . . . . 158
A.1 SDVRP-MDA symbol key . . . . . . . . . . . . . . . . . . . . . . . . 165
A.2 Dimensions for six capacitated VRPs . . . . . . . . . . . . . . . . . . 165
A.3 Dimensions for 11 SDVRPs . . . . . . . . . . . . . . . . . . . . . . . 166
A.4 Dimensions for 21 SDVRPs . . . . . . . . . . . . . . . . . . . . . . . 166
A.5 Data for CH1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167
A.6 Data for CH2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
A.7 Data for CH4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169
A.8 Data for CH5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170
A.9 Data for CH11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172
A.10 Data for CH12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173
A.11 Data for S51D2?S51D6 . . . . . . . . . . . . . . . . . . . . . . . . . . 174
A.12 Data for S76D2?S76D4 . . . . . . . . . . . . . . . . . . . . . . . . . . 175
A.13 Data for S101D2, S101D3, and S101D5 . . . . . . . . . . . . . . . . . 176
A.14 Data for SD1 and MDA1 . . . . . . . . . . . . . . . . . . . . . . . . . 177
A.15 Data for SD2 and MDA2 . . . . . . . . . . . . . . . . . . . . . . . . . 178
A.16 Data for SD3 and MDA3 . . . . . . . . . . . . . . . . . . . . . . . . . 178
A.17 Data for SD4 and MDA4 . . . . . . . . . . . . . . . . . . . . . . . . . 179
A.18 Data for SD5 and MDA5 . . . . . . . . . . . . . . . . . . . . . . . . . 180
A.19 Data for SD6 and MDA6 . . . . . . . . . . . . . . . . . . . . . . . . . 181
A.20 Data for SD7 and MDA7 . . . . . . . . . . . . . . . . . . . . . . . . . 182
A.21 Data for SD8 and MDA8 . . . . . . . . . . . . . . . . . . . . . . . . . 183
A.22 Data for SD9 and MDA9 . . . . . . . . . . . . . . . . . . . . . . . . . 184
A.23 Data for SD10 and MDA10 . . . . . . . . . . . . . . . . . . . . . . . 185
A.24 Data for SD11 and MDA11 . . . . . . . . . . . . . . . . . . . . . . . 186
A.25 Data for SD12 and MDA12 . . . . . . . . . . . . . . . . . . . . . . . 188
A.26 Data for SD13 and MDA13 . . . . . . . . . . . . . . . . . . . . . . . 190
A.27 Data for SD14 and MDA14 . . . . . . . . . . . . . . . . . . . . . . . 192
A.28 Data for SD15 and MDA15 . . . . . . . . . . . . . . . . . . . . . . . 194
A.29 Data for SD16 and MDA16 . . . . . . . . . . . . . . . . . . . . . . . 196
A.30 Data for SD17 and MDA17 . . . . . . . . . . . . . . . . . . . . . . . 198
A.31 Data for SD18 and MDA18 . . . . . . . . . . . . . . . . . . . . . . . 201
A.32 Data for SD19 and MDA19 . . . . . . . . . . . . . . . . . . . . . . . 204
A.33 Data for SD20 and MDA20 . . . . . . . . . . . . . . . . . . . . . . . 207
A.34 Data for SD21 and MDA21 . . . . . . . . . . . . . . . . . . . . . . . 211
A.35 EMIP-MDA+ERTR solution to CH1 . . . . . . . . . . . . . . . . . . 216
A.36 EMIP-MDA+ERTR solution to CH2 . . . . . . . . . . . . . . . . . . 216
A.37 EMIP-MDA+ERTR solution to CH4 . . . . . . . . . . . . . . . . . . 217
A.38 EMIP-MDA+ERTR solution to CH5 . . . . . . . . . . . . . . . . . . 218
A.39 EMIP-MDA+ERTR solution to CH11 . . . . . . . . . . . . . . . . . 219
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A.40 EMIP-MDA+ERTR solution to CH12 . . . . . . . . . . . . . . . . . 219
A.41 EMIP-MDA+ERTR solution to S51D2 . . . . . . . . . . . . . . . . . 220
A.42 EMIP-MDA+ERTR solution to S51D3 . . . . . . . . . . . . . . . . . 220
A.43 EMIP-MDA+ERTR solution to S51D4 . . . . . . . . . . . . . . . . . 221
A.44 EMIP-MDA+ERTR solution to S51D5 . . . . . . . . . . . . . . . . . 222
A.45 EMIP-MDA+ERTR solution to S51D6 . . . . . . . . . . . . . . . . . 223
A.46 EMIP-MDA+ERTR solution to S76D2 . . . . . . . . . . . . . . . . . 224
A.47 EMIP-MDA+ERTR solution to S76D3 . . . . . . . . . . . . . . . . . 225
A.48 EMIP-MDA+ERTR solution to S76D4 . . . . . . . . . . . . . . . . . 226
A.49 EMIP-MDA+ERTR solution to S101D2 . . . . . . . . . . . . . . . . 227
A.50 EMIP-MDA+ERTR solution to S101D3 . . . . . . . . . . . . . . . . 228
A.51 EMIP-MDA+ERTR solution to S101D5 . . . . . . . . . . . . . . . . 229
A.52 EMIP-MDA+ERTR solution to SD1 . . . . . . . . . . . . . . . . . . 230
A.53 EMIP-MDA+ERTR solution to SD2 . . . . . . . . . . . . . . . . . . 231
A.54 EMIP-MDA+ERTR solution to SD3 . . . . . . . . . . . . . . . . . . 231
A.55 EMIP-MDA+ERTR solution to SD4 . . . . . . . . . . . . . . . . . . 232
A.56 EMIP-MDA+ERTR solution to SD5 . . . . . . . . . . . . . . . . . . 233
A.57 EMIP-MDA+ERTR solution to SD6 . . . . . . . . . . . . . . . . . . 234
A.58 EMIP-MDA+ERTR solution to SD7 . . . . . . . . . . . . . . . . . . 235
A.59 EMIP-MDA+ERTR solution to SD8 . . . . . . . . . . . . . . . . . . 236
A.60 EMIP-MDA+ERTR solution to SD9 . . . . . . . . . . . . . . . . . . 237
A.61 EMIP-MDA+ERTR solution to SD10 . . . . . . . . . . . . . . . . . . 238
A.62 EMIP-MDA+ERTR solution to SD11 . . . . . . . . . . . . . . . . . . 240
A.63 EMIP-MDA+ERTR solution to SD12 . . . . . . . . . . . . . . . . . . 242
A.64 EMIP-MDA+ERTR solution to SD13 . . . . . . . . . . . . . . . . . . 244
A.65 EMIP-MDA+ERTR solution to SD14 . . . . . . . . . . . . . . . . . . 247
A.66 EMIP-MDA+ERTR solution to SD15 . . . . . . . . . . . . . . . . . . 250
A.67 EMIP-MDA+ERTR solution to SD16 . . . . . . . . . . . . . . . . . . 254
A.68 EMIP-MDA+ERTR solution to SD17 . . . . . . . . . . . . . . . . . . 258
A.69 EMIP-MDA+ERTR solution to SD18 . . . . . . . . . . . . . . . . . . 262
A.70 EMIP-MDA+ERTR solution to SD19 . . . . . . . . . . . . . . . . . . 266
A.71 EMIP-MDA+ERTR solution to SD20 . . . . . . . . . . . . . . . . . . 271
A.72 EMIP-MDA+ERTR solution to SD21 . . . . . . . . . . . . . . . . . . 277
A.73 EMIP-MDA+ERTR solution to MDA1 with p = .1 . . . . . . . . . . 284
A.74 EMIP-MDA+ERTR solution to MDA2 with p = .1 . . . . . . . . . . 284
A.75 EMIP-MDA+ERTR solution to MDA3 with p = .1 . . . . . . . . . . 285
A.76 EMIP-MDA+ERTR solution to MDA4 with p = .1 . . . . . . . . . . 285
A.77 EMIP-MDA+ERTR solution to MDA5 with p = .1 . . . . . . . . . . 286
A.78 EMIP-MDA+ERTR solution to MDA6 with p = .1 . . . . . . . . . . 287
A.79 EMIP-MDA+ERTR solution to MDA7 with p = .1 . . . . . . . . . . 288
A.80 EMIP-MDA+ERTR solution to MDA8 with p = .1 . . . . . . . . . . 289
A.81 EMIP-MDA+ERTR solution to MDA9 with p = .1 . . . . . . . . . . 290
A.82 EMIP-MDA+ERTR solution to MDA10 with p = .1 . . . . . . . . . . 291
A.83 EMIP-MDA+ERTR solution to MDA11 with p = .1 . . . . . . . . . . 293
A.84 EMIP-MDA+ERTR solution to MDA12 with p = .1 . . . . . . . . . . 295
viii
A.85 EMIP-MDA+ERTR solution to MDA13 with p = .1 . . . . . . . . . . 297
A.86 EMIP-MDA+ERTR solution to MDA14 with p = .1 . . . . . . . . . . 300
A.87 EMIP-MDA+ERTR solution to MDA15 with p = .1 . . . . . . . . . . 303
A.88 EMIP-MDA+ERTR solution to MDA16 with p = .1 . . . . . . . . . . 307
A.89 EMIP-MDA+ERTR solution to MDA17 with p = .1 . . . . . . . . . . 311
A.90 EMIP-MDA+ERTR solution to MDA18 with p = .1 . . . . . . . . . . 315
A.91 EMIP-MDA+ERTR solution to MDA19 with p = .1 . . . . . . . . . . 319
A.92 EMIP-MDA+ERTR solution to MDA20 with p = .1 . . . . . . . . . . 324
A.93 EMIP-MDA+ERTR solution to MDA21 with p = .1 . . . . . . . . . . 330
A.94 EMIP-MDA+ERTR solution to MDA1 with p = .2 . . . . . . . . . . 337
A.95 EMIP-MDA+ERTR solution to MDA2 with p = .2 . . . . . . . . . . 337
A.96 EMIP-MDA+ERTR solution to MDA3 with p = .2 . . . . . . . . . . 338
A.97 EMIP-MDA+ERTR solution to MDA4 with p = .2 . . . . . . . . . . 338
A.98 EMIP-MDA+ERTR solution to MDA5 with p = .2 . . . . . . . . . . 339
A.99 EMIP-MDA+ERTR solution to MDA6 with p = .2 . . . . . . . . . . 340
A.100 EMIP-MDA+ERTR solution to MDA7 with p = .2 . . . . . . . . . 341
A.101 EMIP-MDA+ERTR solution to MDA8 with p = .2 . . . . . . . . . 342
A.102 EMIP-MDA+ERTR solution to MDA9 with p = .2 . . . . . . . . . 343
A.103 EMIP-MDA+ERTR solution to MDA10 with p = .2 . . . . . . . . . 344
A.104 EMIP-MDA+ERTR solution to MDA11 with p = .2 . . . . . . . . . 346
A.105 EMIP-MDA+ERTR solution to MDA12 with p = .2 . . . . . . . . . 348
A.106 EMIP-MDA+ERTR solution to MDA13 with p = .2 . . . . . . . . . 350
A.107 EMIP-MDA+ERTR solution to MDA14 with p = .2 . . . . . . . . . 353
A.108 EMIP-MDA+ERTR solution to MDA15 with p = .2 . . . . . . . . . 356
A.109 EMIP-MDA+ERTR solution to MDA16 with p = .2 . . . . . . . . . 360
A.110 EMIP-MDA+ERTR solution to MDA17 with p = .2 . . . . . . . . . 364
A.111 EMIP-MDA+ERTR solution to MDA18 with p = .2 . . . . . . . . . 368
A.112 EMIP-MDA+ERTR solution to MDA19 with p = .2 . . . . . . . . . 372
A.113 EMIP-MDA+ERTR solution to MDA20 with p = .2 . . . . . . . . . 377
A.114 EMIP-MDA+ERTR solution to MDA21 with p = .2 . . . . . . . . . 383
A.115 EMIP-MDA+ERTR solution to MDA1 with p = .3 . . . . . . . . . 390
A.116 EMIP-MDA+ERTR solution to MDA2 with p = .3 . . . . . . . . . 390
A.117 EMIP-MDA+ERTR solution to MDA3 with p = .3 . . . . . . . . . 391
A.118 EMIP-MDA+ERTR solution to MDA4 with p = .3 . . . . . . . . . 391
A.119 EMIP-MDA+ERTR solution to MDA5 with p = .3 . . . . . . . . . 392
A.120 EMIP-MDA+ERTR solution to MDA6 with p = .3 . . . . . . . . . 393
A.121 EMIP-MDA+ERTR solution to MDA7 with p = .3 . . . . . . . . . 394
A.122 EMIP-MDA+ERTR solution to MDA8 with p = .3 . . . . . . . . . 395
A.123 EMIP-MDA+ERTR solution to MDA9 with p = .3 . . . . . . . . . 396
A.124 EMIP-MDA+ERTR solution to MDA10 with p = .3 . . . . . . . . . 397
A.125 EMIP-MDA+ERTR solution to MDA11 with p = .3 . . . . . . . . . 399
A.126 EMIP-MDA+ERTR solution to MDA12 with p = .3 . . . . . . . . . 401
A.127 EMIP-MDA+ERTR solution to MDA13 with p = .3 . . . . . . . . . 403
A.128 EMIP-MDA+ERTR solution to MDA14 with p = .3 . . . . . . . . . 406
A.129 EMIP-MDA+ERTR solution to MDA15 with p = .3 . . . . . . . . . 409
ix
A.130 EMIP-MDA+ERTR solution to MDA16 with p = .3 . . . . . . . . . 413
A.131 EMIP-MDA+ERTR solution to MDA17 with p = .3 . . . . . . . . . 417
A.132 EMIP-MDA+ERTR solution to MDA18 with p = .3 . . . . . . . . . 421
A.133 EMIP-MDA+ERTR solution to MDA19 with p = .3 . . . . . . . . . 425
A.134 EMIP-MDA+ERTR solution to MDA20 with p = .3 . . . . . . . . . 430
A.135 EMIP-MDA+ERTR solution to MDA21 with p = .3 . . . . . . . . . 436
A.136 EMIP-MDA+ERTR solution to MDA1 with p = .4 . . . . . . . . . 444
A.137 EMIP-MDA+ERTR solution to MDA2 with p = .4 . . . . . . . . . 444
A.138 EMIP-MDA+ERTR solution to MDA3 with p = .4 . . . . . . . . . 445
A.139 EMIP-MDA+ERTR solution to MDA4 with p = .4 . . . . . . . . . 445
A.140 EMIP-MDA+ERTR solution to MDA5 with p = .4 . . . . . . . . . 446
A.141 EMIP-MDA+ERTR solution to MDA6 with p = .4 . . . . . . . . . 447
A.142 EMIP-MDA+ERTR solution to MDA7 with p = .4 . . . . . . . . . 448
A.143 EMIP-MDA+ERTR solution to MDA8 with p = .4 . . . . . . . . . 449
A.144 EMIP-MDA+ERTR solution to MDA9 with p = .4 . . . . . . . . . 450
A.145 EMIP-MDA+ERTR solution to MDA10 with p = .4 . . . . . . . . . 452
A.146 EMIP-MDA+ERTR solution to MDA11 with p = .4 . . . . . . . . . 454
A.147 EMIP-MDA+ERTR solution to MDA12 with p = .4 . . . . . . . . . 456
A.148 EMIP-MDA+ERTR solution to MDA13 with p = .4 . . . . . . . . . 458
A.149 EMIP-MDA+ERTR solution to MDA14 with p = .4 . . . . . . . . . 461
A.150 EMIP-MDA+ERTR solution to MDA15 with p = .4 . . . . . . . . . 464
A.151 EMIP-MDA+ERTR solution to MDA16 with p = .4 . . . . . . . . . 468
A.152 EMIP-MDA+ERTR solution to MDA17 with p = .4 . . . . . . . . . 472
A.153 EMIP-MDA+ERTR solution to MDA18 with p = .4 . . . . . . . . . 476
A.154 EMIP-MDA+ERTR solution to MDA19 with p = .4 . . . . . . . . . 480
A.155 EMIP-MDA+ERTR solution to MDA20 with p = .4 . . . . . . . . . 485
A.156 EMIP-MDA+ERTR solution to MDA21 with p = .4 . . . . . . . . . 491
A.157 Estimated solution for MDA1 . . . . . . . . . . . . . . . . . . . . . 499
A.158 Estimated solution for MDA2 . . . . . . . . . . . . . . . . . . . . . 499
A.159 Estimated solution for MDA3 . . . . . . . . . . . . . . . . . . . . . 500
A.160 Estimated solution for MDA4 . . . . . . . . . . . . . . . . . . . . . 501
A.161 Estimated solution for MDA5 . . . . . . . . . . . . . . . . . . . . . 502
A.162 Estimated solution for MDA6 . . . . . . . . . . . . . . . . . . . . . 503
A.163 Estimated solution for MDA7 . . . . . . . . . . . . . . . . . . . . . 504
A.164 Estimated solution for MDA8 . . . . . . . . . . . . . . . . . . . . . 505
A.165 Estimated solution for MDA9 . . . . . . . . . . . . . . . . . . . . . 506
A.166 Estimated solution for MDA10 . . . . . . . . . . . . . . . . . . . . . 507
A.167 Estimated solution for MDA11 . . . . . . . . . . . . . . . . . . . . . 509
A.168 Estimated solution for MDA12 . . . . . . . . . . . . . . . . . . . . . 511
A.169 Estimated solution for MDA13 . . . . . . . . . . . . . . . . . . . . . 513
A.170 Estimated solution for MDA14 . . . . . . . . . . . . . . . . . . . . . 516
A.171 Estimated solution for MDA15 . . . . . . . . . . . . . . . . . . . . . 519
A.172 Estimated solution for MDA16 . . . . . . . . . . . . . . . . . . . . . 523
A.173 Estimated solution for MDA17 . . . . . . . . . . . . . . . . . . . . . 527
A.174 Estimated solution for MDA18 . . . . . . . . . . . . . . . . . . . . . 531
x
A.175 Estimated solution for MDA19 . . . . . . . . . . . . . . . . . . . . . 535
A.176 Estimated solution for MDA20 . . . . . . . . . . . . . . . . . . . . . 540
A.177 Estimated solution for MDA21 . . . . . . . . . . . . . . . . . . . . . 546
A.178 EMIP-MDA+ERTR solution to S51D2 with p = .1, .2, .3, .4 . . . . 553
A.179 EMIP-MDA+ERTR solution to S51D3 with p = .1, .2, .3 . . . . . . 554
A.180 EMIP-MDA+ERTR solution to S51D4 with p = .1 . . . . . . . . . 555
A.181 EMIP-MDA+ERTR solution to S51D5 with p = .1 . . . . . . . . . 556
A.182 EMIP-MDA+ERTR solution to S51D6 with p = .1 . . . . . . . . . 557
A.183 EMIP-MDA+ERTR solution to S76D2 with p = .1 . . . . . . . . . 559
A.184 EMIP-MDA+ERTR solution to S76D3 with p = .1 . . . . . . . . . 560
A.185 EMIP-MDA+ERTR solution to S76D4 with p = .1 . . . . . . . . . 561
A.186 EMIP-MDA+ERTR solution to S101D2 with p = .1 . . . . . . . . . 562
A.187 EMIP-MDA+ERTR solution to S101D3 with p = .1 . . . . . . . . . 563
A.188 EMIP-MDA+ERTR solution to S101D5 with p = .1 . . . . . . . . . 564
A.189 EMIP-MDA+ERTR solution to S51D4 with p = .2 . . . . . . . . . 566
A.190 EMIP-MDA+ERTR solution to S51D5 with p = .2 . . . . . . . . . 567
A.191 EMIP-MDA+ERTR solution to S51D6 with p = .2 . . . . . . . . . 568
A.192 EMIP-MDA+ERTR solution to S76D2 with p = .2, .3, and .4 . . . 569
A.193 EMIP-MDA+ERTR solution to S76D3 with p = .2 . . . . . . . . . 570
A.194 EMIP-MDA+ERTR solution to S76D4 with p = .2 . . . . . . . . . 571
A.195 EMIP-MDA+ERTR solution to S101D2 with p = .2 . . . . . . . . . 572
A.196 EMIP-MDA+ERTR solution to S101D3 with p = .2 . . . . . . . . . 573
A.197 EMIP-MDA+ERTR solution to S101D5 with p = .2 . . . . . . . . . 574
A.198 EMIP-MDA+ERTR solution to S51D4 with p = .3 . . . . . . . . . 576
A.199 EMIP-MDA+ERTR solution to S51D5 with p = .3 . . . . . . . . . 577
A.200 EMIP-MDA+ERTR solution to S51D6 with p = .3 . . . . . . . . . 578
A.201 EMIP-MDA+ERTR solution to S76D3 with p = .3 . . . . . . . . . 580
A.202 EMIP-MDA+ERTR solution to S76D4 with p = .3 . . . . . . . . . 581
A.203 EMIP-MDA+ERTR solution to S101D2 with p = .3 . . . . . . . . . 582
A.204 EMIP-MDA+ERTR solution to S101D3 with p = .3 . . . . . . . . . 583
A.205 EMIP-MDA+ERTR solution to S101D5 with p = .3 . . . . . . . . . 584
A.206 EMIP-MDA+ERTR solution to S51D3 with p = .4 . . . . . . . . . 586
A.207 EMIP-MDA+ERTR solution to S51D4 with p = .4 . . . . . . . . . 587
A.208 EMIP-MDA+ERTR solution to S51D5 with p = .4 . . . . . . . . . 588
A.209 EMIP-MDA+ERTR solution to S51D6 with p = .4 . . . . . . . . . 589
A.210 EMIP-MDA+ERTR solution to S76D3 with p = .4 . . . . . . . . . 591
A.211 EMIP-MDA+ERTR solution to S76D4 with p = .4 . . . . . . . . . 592
A.212 EMIP-MDA+ERTR solution to S101D2 with p = .4 . . . . . . . . . 593
A.213 EMIP-MDA+ERTR solution to S101D3 with p = .4 . . . . . . . . . 594
A.214 EMIP-MDA+ERTR solution to S101D5 with p = .4 . . . . . . . . . 595
B.1 MDSDVRP symbol key . . . . . . . . . . . . . . . . . . . . . . . . . . 635
B.2 Dimensions for 10 MDSDVRPs . . . . . . . . . . . . . . . . . . . . . 635
B.3 Dimensions for 12 MDSDVRPs . . . . . . . . . . . . . . . . . . . . . 636
B.4 Data for MDSD1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 637
xi
B.5 Data for MDSD2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 638
B.6 Data for MDSD3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 640
B.7 Data for MDSD4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 642
B.8 Data for MDSD5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 644
B.9 Data for MDSD6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 646
B.10 Data for MDSD7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 648
B.11 Data for MDSD8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 652
B.12 Data for MDSD9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 656
B.13 Data for MDSD10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 660
B.14 Data for SQ1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 663
B.15 Data for SQ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 664
B.16 Data for SQ3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 664
B.17 Data for SQ4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 665
B.18 Data for SQ5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 666
B.19 Data for SQ6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 667
B.20 Data for SQ7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 668
B.21 Data for SQ8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 669
B.22 Data for SQ9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 670
B.23 Data for SQ10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 671
B.24 Data for SQ11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 672
B.25 Data for SQ12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 674
B.26 IDH solution to MDSD1 with demand range [.1, .9] . . . . . . . . . . 676
B.27 IDH solution to MDSD2 with demand range [.1, .9] . . . . . . . . . . 677
B.28 IDH solution to MDSD3 with demand range [.1, .9] . . . . . . . . . . 679
B.29 IDH solution to MDSD4 with demand range [.1, .9] . . . . . . . . . . 681
B.30 IDH solution to MDSD5 with demand range [.1, .9] . . . . . . . . . . 683
B.31 IDH solution to MDSD6 with demand range [.1, .9] . . . . . . . . . . 685
B.32 IDH solution to MDSD7 with demand range [.1, .9] . . . . . . . . . . 687
B.33 IDH solution to MDSD8 with demand range [.1, .9] . . . . . . . . . . 691
B.34 IDH solution to MDSD9 with demand range [.1, .9] . . . . . . . . . . 695
B.35 IDH solution to MDSD10 with demand range [.1, .9] . . . . . . . . . 699
B.36 IDH solution to MDSD1 with demand range [.3, .7] . . . . . . . . . . 703
B.37 IDH solution to MDSD2 with demand range [.3, .7] . . . . . . . . . . 704
B.38 IDH solution to MDSD3 with demand range [.3, .7] . . . . . . . . . . 706
B.39 IDH solution to MDSD4 with demand range [.3, .7] . . . . . . . . . . 708
B.40 IDH solution to MDSD5 with demand range [.3, .7] . . . . . . . . . . 710
B.41 IDH solution to MDSD6 with demand range [.3, .7] . . . . . . . . . . 712
B.42 IDH solution to MDSD7 with demand range [.3, .7] . . . . . . . . . . 714
B.43 IDH solution to MDSD8 with demand range [.3, .7] . . . . . . . . . . 718
B.44 IDH solution to MDSD9 with demand range [.3, .7] . . . . . . . . . . 722
B.45 IDH solution to MDSD10 with demand range [.3, .7] . . . . . . . . . 726
B.46 IDH solution to MDSD1 with demand range [.7, .9] . . . . . . . . . . 730
B.47 IDH solution to MDSD2 with demand range [.7, .9] . . . . . . . . . . 732
B.48 IDH solution to MDSD3 with demand range [.7, .9] . . . . . . . . . . 734
B.49 IDH solution to MDSD4 with demand range [.7, .9] . . . . . . . . . . 737
xii
B.50 IDH solution to MDSD5 with demand range [.7, .9] . . . . . . . . . . 740
B.51 IDH solution to MDSD6 with demand range [.7, .9] . . . . . . . . . . 743
B.52 IDH solution to MDSD7 with demand range [.7, .9] . . . . . . . . . . 746
B.53 IDH solution to MDSD8 with demand range [.7, .9] . . . . . . . . . . 753
B.54 IDH solution to MDSD9 with demand range [.7, .9] . . . . . . . . . . 760
B.55 IDH solution to MDSD10 with demand range [.7, .9] . . . . . . . . . 767
B.56 IDH solution to SQ1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 774
B.57 IDH solution to SQ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 775
B.58 IDH solution to SQ3 . . . . . . . . . . . . . . . . . . . . . . . . . . . 777
B.59 IDH solution to SQ4 . . . . . . . . . . . . . . . . . . . . . . . . . . . 779
B.60 IDH solution to SQ5 . . . . . . . . . . . . . . . . . . . . . . . . . . . 781
B.61 IDH solution to SQ6 . . . . . . . . . . . . . . . . . . . . . . . . . . . 783
B.62 IDH solution to SQ7 . . . . . . . . . . . . . . . . . . . . . . . . . . . 786
B.63 IDH solution to SQ8 . . . . . . . . . . . . . . . . . . . . . . . . . . . 789
B.64 IDH solution to SQ9 . . . . . . . . . . . . . . . . . . . . . . . . . . . 793
B.65 IDH solution to SQ10 . . . . . . . . . . . . . . . . . . . . . . . . . . . 796
B.66 IDH solution to SQ11 . . . . . . . . . . . . . . . . . . . . . . . . . . . 800
B.67 IDH solution to SQ12 . . . . . . . . . . . . . . . . . . . . . . . . . . . 805
B.68 Estimated solution to SQ1 . . . . . . . . . . . . . . . . . . . . . . . . 811
B.69 Estimated solution to SQ2 . . . . . . . . . . . . . . . . . . . . . . . . 812
B.70 Estimated solution to SQ3 . . . . . . . . . . . . . . . . . . . . . . . . 813
B.71 Estimated solution to SQ4 . . . . . . . . . . . . . . . . . . . . . . . . 815
B.72 Estimated solution to SQ5 . . . . . . . . . . . . . . . . . . . . . . . . 817
B.73 Estimated solution to SQ6 . . . . . . . . . . . . . . . . . . . . . . . . 819
B.74 Estimated solution to SQ7 . . . . . . . . . . . . . . . . . . . . . . . . 822
B.75 Estimated solution to SQ8 . . . . . . . . . . . . . . . . . . . . . . . . 825
B.76 Estimated solution to SQ9 . . . . . . . . . . . . . . . . . . . . . . . . 829
B.77 Estimated solution to SQ10 . . . . . . . . . . . . . . . . . . . . . . . 832
B.78 Estimated solution to SQ11 . . . . . . . . . . . . . . . . . . . . . . . 836
B.79 Estimated solution to SQ12 . . . . . . . . . . . . . . . . . . . . . . . 841
C.1 PVRP symbol key . . . . . . . . . . . . . . . . . . . . . . . . . . . . 859
C.2 Dimensions for 13 PVRPs . . . . . . . . . . . . . . . . . . . . . . . . 859
C.3 Dimensions for 19 PVRPs . . . . . . . . . . . . . . . . . . . . . . . . 861
C.4 Data for P1?P3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 862
C.5 Data for P4?P6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 863
C.6 Data for P7?P10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 864
C.7 Data for P11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 865
C.8 Data for P12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 867
C.9 Data for P13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 869
C.10 Data for P14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 873
C.11 Data for P15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 873
C.12 Data for P16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 874
C.13 Data for P17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 875
C.14 Data for P18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 876
xiii
C.15 Data for P19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 877
C.16 Data for P20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 878
C.17 Data for P21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 880
C.18 Data for P22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 881
C.19 Data for P23 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 883
C.20 Data for P24?P26 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 885
C.21 Data for P27?P29 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 886
C.22 Data for P30?P32 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 888
C.23 IPH solution to P1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 891
C.24 IPH solution to P2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 892
C.25 IPH solution to P3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 893
C.26 IPH solution to P4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 893
C.27 IPH solution to P5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 894
C.28 IPH solution to P6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 895
C.29 IPH solution to P7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 896
C.30 IPH solution to P8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 897
C.31 IPH solution to P9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 898
C.32 IPH solution to P10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 899
C.33 IPH solution to P11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 900
C.34 IPH solution to P12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 901
C.35 IPH solution to P13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 902
C.36 IPH solution to P14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 904
C.37 IPH solution to P15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 905
C.38 IPH solution to P16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 906
C.39 IPH solution to P17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 907
C.40 IPH solution to P18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 908
C.41 IPH solution to P19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 909
C.42 IPH solution to P20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 910
C.43 IPH solution to P21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 911
C.44 IPH solution to P22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 912
C.45 IPH solution to P23 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 913
C.46 IPH solution to P24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 914
C.47 IPH solution to P25 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 915
C.48 IPH solution to P26 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 916
C.49 IPH solution to P27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 917
C.50 IPH solution to P28 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 919
C.51 IPH solution to P29 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 921
C.52 IPH solution to P30 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 923
C.53 IPH solution to P31 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 925
C.54 IPH solution to P32 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 927
C.55 Initial solution to P2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 929
C.56 Initial solution to P5 . . . . . . . . . . . . . . . . . . . . . . . . . . . 930
C.57 Initial solution to P8 . . . . . . . . . . . . . . . . . . . . . . . . . . . 932
C.58 Initial solution to P10 . . . . . . . . . . . . . . . . . . . . . . . . . . 933
C.59 Initial solution to P11 . . . . . . . . . . . . . . . . . . . . . . . . . . 934
xiv
C.60 Initial solution to P12 . . . . . . . . . . . . . . . . . . . . . . . . . . 935
C.61 Initial solution to P13 . . . . . . . . . . . . . . . . . . . . . . . . . . 936
C.62 Initial solution to P14 . . . . . . . . . . . . . . . . . . . . . . . . . . 939
C.63 Initial solution to P15 . . . . . . . . . . . . . . . . . . . . . . . . . . 940
C.64 Initial solution to P16 . . . . . . . . . . . . . . . . . . . . . . . . . . 941
C.65 Initial solution to P17 . . . . . . . . . . . . . . . . . . . . . . . . . . 942
C.66 Initial solution to P18 . . . . . . . . . . . . . . . . . . . . . . . . . . 943
C.67 Initial solution to P19 . . . . . . . . . . . . . . . . . . . . . . . . . . 944
C.68 Initial solution to P20 . . . . . . . . . . . . . . . . . . . . . . . . . . 945
C.69 Initial solution to P21 . . . . . . . . . . . . . . . . . . . . . . . . . . 946
C.70 Initial solution to P22 . . . . . . . . . . . . . . . . . . . . . . . . . . 947
C.71 Initial solution to P23 . . . . . . . . . . . . . . . . . . . . . . . . . . 948
C.72 Initial solution to P24 . . . . . . . . . . . . . . . . . . . . . . . . . . 949
C.73 Initial solution to P25 . . . . . . . . . . . . . . . . . . . . . . . . . . 950
C.74 Initial solution to P26 . . . . . . . . . . . . . . . . . . . . . . . . . . 951
C.75 Initial solution to P27 . . . . . . . . . . . . . . . . . . . . . . . . . . 952
C.76 Initial solution to P28 . . . . . . . . . . . . . . . . . . . . . . . . . . 954
C.77 Initial solution to P29 . . . . . . . . . . . . . . . . . . . . . . . . . . 956
C.78 Initial solution to P30 . . . . . . . . . . . . . . . . . . . . . . . . . . 958
C.79 Initial solution to P31 . . . . . . . . . . . . . . . . . . . . . . . . . . 960
C.80 Initial solution to P32 . . . . . . . . . . . . . . . . . . . . . . . . . . 962
C.81 IPH-RCH solution to P2 with W = 5 . . . . . . . . . . . . . . . . . . 964
C.82 IPH-RCH solution to P5 with W = 8 . . . . . . . . . . . . . . . . . . 965
C.83 IPH-RCH solution to P8 with W = 10 . . . . . . . . . . . . . . . . . 967
C.84 IPH-RCH solution to P10 with W = 10 . . . . . . . . . . . . . . . . . 968
C.85 IPH-RCH solution to P11 with W = 14 . . . . . . . . . . . . . . . . . 969
C.86 IPH-RCH solution to P12 with W = 17 . . . . . . . . . . . . . . . . . 970
C.87 IPH-RCH solution to P13 with W = 42 . . . . . . . . . . . . . . . . . 971
C.88 IPH-RCH solution to P14 with W = 2 . . . . . . . . . . . . . . . . . 974
C.89 IPH-RCH solution to P15 with W = 4 . . . . . . . . . . . . . . . . . 975
C.90 IPH-RCH solution to P16 with W = 6 . . . . . . . . . . . . . . . . . 976
C.91 IPH-RCH solution to P17 with W = 4 . . . . . . . . . . . . . . . . . 977
C.92 IPH-RCH solution to P18 with W = 8 . . . . . . . . . . . . . . . . . 978
C.93 IPH-RCH solution to P19 with W = 12 . . . . . . . . . . . . . . . . . 979
C.94 IPH-RCH solution to P20 with W = 19 . . . . . . . . . . . . . . . . . 980
C.95 IPH-RCH solution to P21 with W = 6 . . . . . . . . . . . . . . . . . 981
C.96 IPH-RCH solution to P22 with W = 12 . . . . . . . . . . . . . . . . . 982
C.97 IPH-RCH solution to P23 with W = 17 . . . . . . . . . . . . . . . . . 983
C.98 IPH-RCH solution to P24 with W = 6 . . . . . . . . . . . . . . . . . 984
C.99 IPH-RCH solution to P25 with W = 6 . . . . . . . . . . . . . . . . . 985
C.100 IPH-RCH solution to P26 with W = 6 . . . . . . . . . . . . . . . . . 986
C.101 IPH-RCH solution to P27 with W = 11 . . . . . . . . . . . . . . . . 987
C.102 IPH-RCH solution to P28 with W = 11 . . . . . . . . . . . . . . . . 989
C.103 IPH-RCH solution to P29 with W = 11 . . . . . . . . . . . . . . . . 991
C.104 IPH-RCH solution to P30 with W = 16 . . . . . . . . . . . . . . . . 993
xv
C.105 IPH-RCH solution to P31 with W = 16 . . . . . . . . . . . . . . . . 995
C.106 IPH-RCH solution to P32 with W = 16 . . . . . . . . . . . . . . . . 997
C.107 IPH-RCR solution to P2 . . . . . . . . . . . . . . . . . . . . . . . . 999
C.108 IPH-RCR solution to P5 . . . . . . . . . . . . . . . . . . . . . . . . 1000
C.109 IPH-RCR solution to P8 . . . . . . . . . . . . . . . . . . . . . . . . 1002
C.110 IPH-RCR solution to P11 . . . . . . . . . . . . . . . . . . . . . . . . 1003
C.111 IPH-RCR solution to P12 . . . . . . . . . . . . . . . . . . . . . . . . 1004
C.112 IPH-RCR solution to P18 . . . . . . . . . . . . . . . . . . . . . . . . 1005
C.113 IPH-RCR solution to P23 . . . . . . . . . . . . . . . . . . . . . . . . 1006
C.114 IPH-RCR solution to P25 . . . . . . . . . . . . . . . . . . . . . . . . 1007
C.115 IPH-RCR solution to P29 . . . . . . . . . . . . . . . . . . . . . . . . 1008
C.116 IPH-RCR solution to P31 . . . . . . . . . . . . . . . . . . . . . . . . 1010
C.117 IPH-RCH solution to P2 with W = 10 . . . . . . . . . . . . . . . . . 1012
C.118 IPH-RCH solution to P5 with W = 21 . . . . . . . . . . . . . . . . . 1013
C.119 IPH-RCH solution to P8 with W = 25 . . . . . . . . . . . . . . . . . 1014
C.120 IPH-RCH solution to P11 with W = 70 . . . . . . . . . . . . . . . . 1015
C.121 IPH-RCH solution to P12 with W = 110 . . . . . . . . . . . . . . . 1016
C.122 IPH-RCH solution to P18 with W = 26 . . . . . . . . . . . . . . . . 1017
C.123 IPH-RCH solution to P23 with W = 5 . . . . . . . . . . . . . . . . . 1018
C.124 IPH-RCH solution to P25 with W = 31 . . . . . . . . . . . . . . . . 1019
C.125 IPH-RCH solution to P29 with W = 61 . . . . . . . . . . . . . . . . 1020
C.126 IPH-RCH solution to P31 with W = 81 . . . . . . . . . . . . . . . . 1022
D.1 VRP symbol key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1024
D.2 Dimensions for 15 VRPs . . . . . . . . . . . . . . . . . . . . . . . . . 1024
D.3 Dimensions for 15 VRPs with small capacities . . . . . . . . . . . . . 1025
D.4 Data for VRP1 and VRP6 . . . . . . . . . . . . . . . . . . . . . . . . 1025
D.5 Data for VRP2 and VRP7 . . . . . . . . . . . . . . . . . . . . . . . . 1026
D.6 Data for VRP3 and VRP8 . . . . . . . . . . . . . . . . . . . . . . . . 1027
D.7 Data for VRP4 and VRP9 . . . . . . . . . . . . . . . . . . . . . . . . 1028
D.8 Data for VRP5 and VRP10 . . . . . . . . . . . . . . . . . . . . . . . 1029
D.9 Data for VRP11 and VRP13 . . . . . . . . . . . . . . . . . . . . . . . 1031
D.10 Data for VRP12 and VRP14 . . . . . . . . . . . . . . . . . . . . . . . 1032
D.11 Data for VRP15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1033
D.12 VIPH solution to VRP1 . . . . . . . . . . . . . . . . . . . . . . . . . 1034
D.13 VIPH solution to VRP2 . . . . . . . . . . . . . . . . . . . . . . . . . 1035
D.14 VIPH solution to VRP3 . . . . . . . . . . . . . . . . . . . . . . . . . 1035
D.15 VIPH solution to VRP4 . . . . . . . . . . . . . . . . . . . . . . . . . 1036
D.16 VIPH solution to VRP5 . . . . . . . . . . . . . . . . . . . . . . . . . 1036
D.17 VIPH solution to VRP6 . . . . . . . . . . . . . . . . . . . . . . . . . 1037
D.18 VIPH solution to VRP7 . . . . . . . . . . . . . . . . . . . . . . . . . 1037
D.19 VIPH solution to VRP8 . . . . . . . . . . . . . . . . . . . . . . . . . 1038
D.20 VIPH solution to VRP9 . . . . . . . . . . . . . . . . . . . . . . . . . 1038
D.21 VIPH solution to VRP10 . . . . . . . . . . . . . . . . . . . . . . . . . 1039
D.22 VIPH solution to VRP11 . . . . . . . . . . . . . . . . . . . . . . . . . 1040
xvi
D.23 VIPH solution to VRP12 . . . . . . . . . . . . . . . . . . . . . . . . . 1040
D.24 VIPH solution to VRP13 . . . . . . . . . . . . . . . . . . . . . . . . . 1041
D.25 VIPH solution to VRP14 . . . . . . . . . . . . . . . . . . . . . . . . . 1041
D.26 VIPH solution to VRP15 . . . . . . . . . . . . . . . . . . . . . . . . . 1042
D.27 VIPH solution to VRP1-SC . . . . . . . . . . . . . . . . . . . . . . . 1043
D.28 VIPH solution to VRP2-SC . . . . . . . . . . . . . . . . . . . . . . . 1044
D.29 VIPH solution to VRP3-SC . . . . . . . . . . . . . . . . . . . . . . . 1045
D.30 VIPH solution to VRP4-SC . . . . . . . . . . . . . . . . . . . . . . . 1046
D.31 VIPH solution to VRP5-SC . . . . . . . . . . . . . . . . . . . . . . . 1047
D.32 VIPH solution to VRP6-SC . . . . . . . . . . . . . . . . . . . . . . . 1049
D.33 VIPH solution to VRP7-SC . . . . . . . . . . . . . . . . . . . . . . . 1050
D.34 VIPH solution to VRP8-SC . . . . . . . . . . . . . . . . . . . . . . . 1051
D.35 VIPH solution to VRP9-SC . . . . . . . . . . . . . . . . . . . . . . . 1052
D.36 VIPH solution to VRP10-SC . . . . . . . . . . . . . . . . . . . . . . . 1053
D.37 VIPH solution to VRP11-SC . . . . . . . . . . . . . . . . . . . . . . . 1055
D.38 VIPH solution to VRP12-SC . . . . . . . . . . . . . . . . . . . . . . . 1056
D.39 VIPH solution to VRP13-SC . . . . . . . . . . . . . . . . . . . . . . . 1057
D.40 VIPH solution to VRP14-SC . . . . . . . . . . . . . . . . . . . . . . . 1058
D.41 VIPH solution to VRP15-SC . . . . . . . . . . . . . . . . . . . . . . . 1059
D.42 ERTR solution to VRP1 . . . . . . . . . . . . . . . . . . . . . . . . . 1060
D.43 ERTR solution to VRP2 . . . . . . . . . . . . . . . . . . . . . . . . . 1060
D.44 ERTR solution to VRP3 . . . . . . . . . . . . . . . . . . . . . . . . . 1061
D.45 ERTR solution to VRP4 . . . . . . . . . . . . . . . . . . . . . . . . . 1061
D.46 ERTR solution to VRP5 . . . . . . . . . . . . . . . . . . . . . . . . . 1062
D.47 ERTR solution to VRP6 . . . . . . . . . . . . . . . . . . . . . . . . . 1063
D.48 ERTR solution to VRP7 . . . . . . . . . . . . . . . . . . . . . . . . . 1063
D.49 ERTR solution to VRP8 . . . . . . . . . . . . . . . . . . . . . . . . . 1064
D.50 ERTR solution to VRP9 . . . . . . . . . . . . . . . . . . . . . . . . . 1064
D.51 ERTR solution to VRP10 . . . . . . . . . . . . . . . . . . . . . . . . 1065
D.52 ERTR solution to VRP11 . . . . . . . . . . . . . . . . . . . . . . . . 1066
D.53 ERTR solution to VRP12 . . . . . . . . . . . . . . . . . . . . . . . . 1066
D.54 ERTR solution to VRP13 . . . . . . . . . . . . . . . . . . . . . . . . 1067
D.55 ERTR solution to VRP14 . . . . . . . . . . . . . . . . . . . . . . . . 1067
D.56 ERTR solution to VRP15 . . . . . . . . . . . . . . . . . . . . . . . . 1068
D.57 ERTR solution to VRP1-SC . . . . . . . . . . . . . . . . . . . . . . . 1069
D.58 ERTR solution to VRP2-SC . . . . . . . . . . . . . . . . . . . . . . . 1070
D.59 ERTR solution to VRP3-SC . . . . . . . . . . . . . . . . . . . . . . . 1071
D.60 ERTR solution to VRP4-SC . . . . . . . . . . . . . . . . . . . . . . . 1072
D.61 ERTR solution to VRP5-SC . . . . . . . . . . . . . . . . . . . . . . . 1073
D.62 ERTR solution to VRP6-SC . . . . . . . . . . . . . . . . . . . . . . . 1074
D.63 ERTR solution to VRP7-SC . . . . . . . . . . . . . . . . . . . . . . . 1075
D.64 ERTR solution to VRP8-SC . . . . . . . . . . . . . . . . . . . . . . . 1076
D.65 ERTR solution to VRP9-SC . . . . . . . . . . . . . . . . . . . . . . . 1077
D.66 ERTR solution to VRP10-SC . . . . . . . . . . . . . . . . . . . . . . 1078
D.67 ERTR solution to VRP11-SC . . . . . . . . . . . . . . . . . . . . . . 1079
xvii
D.68 ERTR solution to VRP12-SC . . . . . . . . . . . . . . . . . . . . . . 1080
D.69 ERTR solution to VRP13-SC . . . . . . . . . . . . . . . . . . . . . . 1081
D.70 ERTR solution to VRP14-SC . . . . . . . . . . . . . . . . . . . . . . 1082
D.71 ERTR solution to VRP15-SC . . . . . . . . . . . . . . . . . . . . . . 1083
E.1 MDVRP symbol key . . . . . . . . . . . . . . . . . . . . . . . . . . . 1084
E.2 Dimensions for 23 MDVRPs . . . . . . . . . . . . . . . . . . . . . . . 1085
E.3 Data for MD1 and MD2 . . . . . . . . . . . . . . . . . . . . . . . . . 1086
E.4 Data for MD3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1087
E.5 Data for MD4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1088
E.6 Data for MD5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1088
E.7 Data for MD6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1089
E.8 Data for MD7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1089
E.9 Data for MD8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1090
E.10 Data for MD9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1091
E.11 Data for MD10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1092
E.12 Data for MD11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1092
E.13 Data for MD12?MD14 . . . . . . . . . . . . . . . . . . . . . . . . . . 1092
E.14 Data for MD15?MD17 . . . . . . . . . . . . . . . . . . . . . . . . . . 1093
E.15 Data for MD18?MD20 . . . . . . . . . . . . . . . . . . . . . . . . . . 1095
E.16 Data for MD21?MD23 . . . . . . . . . . . . . . . . . . . . . . . . . . 1097
E.17 MDIPH solution to MD1 . . . . . . . . . . . . . . . . . . . . . . . . . 1100
E.18 MDIPH solution to MD2 . . . . . . . . . . . . . . . . . . . . . . . . . 1100
E.19 MDIPH solution to MD3 . . . . . . . . . . . . . . . . . . . . . . . . . 1101
E.20 MDIPH solution to MD4 . . . . . . . . . . . . . . . . . . . . . . . . . 1101
E.21 MDIPH solution to MD5 . . . . . . . . . . . . . . . . . . . . . . . . . 1102
E.22 MDIPH solution to MD6 . . . . . . . . . . . . . . . . . . . . . . . . . 1103
E.23 MDIPH solution to MD7 . . . . . . . . . . . . . . . . . . . . . . . . . 1104
E.24 MDIPH solution to MD8 . . . . . . . . . . . . . . . . . . . . . . . . . 1105
E.25 MDIPH solution to MD9 . . . . . . . . . . . . . . . . . . . . . . . . . 1106
E.26 MDIPH solution to MD10 . . . . . . . . . . . . . . . . . . . . . . . . 1107
E.27 MDIPH solution to MD11 . . . . . . . . . . . . . . . . . . . . . . . . 1108
E.28 MDIPH solution to MD12 . . . . . . . . . . . . . . . . . . . . . . . . 1109
E.29 MDIPH solution to MD13 . . . . . . . . . . . . . . . . . . . . . . . . 1109
E.30 MDIPH solution to MD14 . . . . . . . . . . . . . . . . . . . . . . . . 1109
E.31 MDIPH solution to MD15 . . . . . . . . . . . . . . . . . . . . . . . . 1110
E.32 MDIPH solution to MD16 . . . . . . . . . . . . . . . . . . . . . . . . 1111
E.33 MDIPH solution to MD17 . . . . . . . . . . . . . . . . . . . . . . . . 1112
E.34 MDIPH solution to MD18 . . . . . . . . . . . . . . . . . . . . . . . . 1113
E.35 MDIPH solution to MD19 . . . . . . . . . . . . . . . . . . . . . . . . 1114
E.36 MDIPH solution to MD20 . . . . . . . . . . . . . . . . . . . . . . . . 1115
E.37 MDIPH solution to MD21 . . . . . . . . . . . . . . . . . . . . . . . . 1116
E.38 MDIPH solution to MD22 . . . . . . . . . . . . . . . . . . . . . . . . 1118
E.39 MDIPH solution to MD23 . . . . . . . . . . . . . . . . . . . . . . . . 1120
E.40 Best MDIPH solution to MD1 . . . . . . . . . . . . . . . . . . . . . . 1122
xviii
E.41 Best MDIPH solution to MD2 . . . . . . . . . . . . . . . . . . . . . . 1122
E.42 Best MDIPH solution to MD3 . . . . . . . . . . . . . . . . . . . . . . 1123
E.43 Best MDIPH solution to MD4 . . . . . . . . . . . . . . . . . . . . . . 1123
E.44 Best MDIPH solution to MD5 . . . . . . . . . . . . . . . . . . . . . . 1124
E.45 Best MDIPH solution to MD6 . . . . . . . . . . . . . . . . . . . . . . 1125
E.46 Best MDIPH solution to MD7 . . . . . . . . . . . . . . . . . . . . . . 1126
E.47 Best MDIPH solution to MD8 . . . . . . . . . . . . . . . . . . . . . . 1127
E.48 Best MDIPH solution to MD9 . . . . . . . . . . . . . . . . . . . . . . 1128
E.49 Best MDIPH solution to MD10 . . . . . . . . . . . . . . . . . . . . . 1129
E.50 Best MDIPH solution to MD11 . . . . . . . . . . . . . . . . . . . . . 1130
E.51 Best MDIPH solution to MD12 . . . . . . . . . . . . . . . . . . . . . 1131
E.52 Best MDIPH solution to MD13 . . . . . . . . . . . . . . . . . . . . . 1131
E.53 Best MDIPH solution to MD14 . . . . . . . . . . . . . . . . . . . . . 1131
E.54 Best MDIPH solution to MD15 . . . . . . . . . . . . . . . . . . . . . 1132
E.55 Best MDIPH solution to MD16 . . . . . . . . . . . . . . . . . . . . . 1133
E.56 Best MDIPH solution to MD17 . . . . . . . . . . . . . . . . . . . . . 1134
E.57 Best MDIPH solution to MD18 . . . . . . . . . . . . . . . . . . . . . 1135
E.58 Best MDIPH solution to MD19 . . . . . . . . . . . . . . . . . . . . . 1136
E.59 Best MDIPH solution to MD20 . . . . . . . . . . . . . . . . . . . . . 1137
E.60 Best MDIPH solution to MD21 . . . . . . . . . . . . . . . . . . . . . 1138
E.61 Best MDIPH solution to MD22 . . . . . . . . . . . . . . . . . . . . . 1140
E.62 Best MDIPH solution to MD23 . . . . . . . . . . . . . . . . . . . . . 1142
List of Figures
2.1 SDVRP example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.1 SDVRP-MDA example . . . . . . . . . . . . . . . . . . . . . . . . . . 32
3.2 SDVRP-MDA in which all optimal solutions have a 2-split cycle . . . 35
3.3 SDVRP-MDA demonstrating worst-case scenario bounds . . . . . . . 38
3.4 Endpoint moves in the EMIP-MDA . . . . . . . . . . . . . . . . . . . 40
3.5 Routes from a visually estimated SDVRP-MDA solution . . . . . . . 52
3.6 Three solutions to an SDVRP-MDA instance . . . . . . . . . . . . . . 55
4.1 An MDSDVRP Example . . . . . . . . . . . . . . . . . . . . . . . . . 64
4.2 Customer moves in the IDMIP . . . . . . . . . . . . . . . . . . . . . . 69
4.3 IDMIP Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
4.4 Square problem example . . . . . . . . . . . . . . . . . . . . . . . . . 77
4.5 Routes of a visually estimated solution . . . . . . . . . . . . . . . . . 78
4.6 Visually estimated and IDH solutions . . . . . . . . . . . . . . . . . . 80
5.1 PVRP example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
5.2 Optimal IIP solution for an example problem . . . . . . . . . . . . . 92
5.3 Plots for two PVRP-RCs . . . . . . . . . . . . . . . . . . . . . . . . . 107
5.4 Plots for two PVRP-BCs with well-balanced initial solutions . . . . . 115
xix
5.5 Plots for two PVRP-BCs with low-cost initial solutions . . . . . . . . 116
6.1 VRP example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
6.2 Customer relocations in the VIIP . . . . . . . . . . . . . . . . . . . . 125
6.3 Optimal VIIP solution to an example problem . . . . . . . . . . . . . 129
7.1 MDVRP Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
7.2 Customer relocations in the MDIIP . . . . . . . . . . . . . . . . . . . 144
7.3 Optimal MDIIP solution to an example problems . . . . . . . . . . . 147
7.4 Reinitialization example . . . . . . . . . . . . . . . . . . . . . . . . . 150
7.5 Graph of solution value versus run time for a sample MDVRP . . . . 159
A.1 Estimated and EMIP-MDA + ERTR solutions to MDA1 . . . . . . . 597
A.2 Estimated and EMIP-MDA + ERTR solutions to MDA2 . . . . . . . 597
A.3 Estimated and EMIP-MDA + ERTR solutions to MDA3 . . . . . . . 598
A.4 Estimated and EMIP-MDA + ERTR solutions to MDA4 . . . . . . . 598
A.5 EMIP-MDA + ERTR solution to MDA5 with p = .1 . . . . . . . . . 599
A.6 Estimated and EMIP-MDA + ERTR solutions to MDA5 . . . . . . . 599
A.7 EMIP-MDA + ERTR solution to MDA5 with p = .4 . . . . . . . . . 600
A.8 Estimated and EMIP-MDA + ERTR solutions to MDA6 . . . . . . . 600
A.9 EMIP-MDA + ERTR solution to MDA6 with p = .4 . . . . . . . . . 601
A.10 Estimated and EMIP-MDA + ERTR solutions to MDA7 . . . . . . . 601
A.11 EMIP-MDA + ERTR solution to MDA8 with p = .1 and .2 . . . . . 602
A.12 Estimated and EMIP-MDA + ERTR solutions to MDA8 . . . . . . . 602
A.13 EMIP-MDA + ERTR solution to MDA9 with p = .1 . . . . . . . . . 603
A.14 EMIP-MDA + ERTR solution to MDA9 with p = .2 and .3 . . . . . 603
A.15 EMIP-MDA + ERTR solution to MDA9 with p = .4 . . . . . . . . . 604
A.16 Estimated solution to MDA9 . . . . . . . . . . . . . . . . . . . . . . . 604
A.17 EMIP-MDA + ERTR solution to MDA10 with p = .1 . . . . . . . . . 605
A.18 EMIP-MDA + ERTR solution to MDA10 with p = .2 . . . . . . . . . 605
A.19 EMIP-MDA + ERTR solution to MDA10 with p = .3 . . . . . . . . . 606
A.20 EMIP-MDA + ERTR solution to MDA10 with p = .4 . . . . . . . . . 606
A.21 Estimated solution to MDA10 . . . . . . . . . . . . . . . . . . . . . . 607
A.22 EMIP-MDA + ERTR solution to MDA11 with p = .1 . . . . . . . . . 607
A.23 EMIP-MDA + ERTR solution to MDA11 with p = .2 . . . . . . . . . 608
A.24 EMIP-MDA + ERTR solution to MDA11 with p = .3 . . . . . . . . . 608
A.25 EMIP-MDA + ERTR solution to MDA11 with p = .4 . . . . . . . . . 609
A.26 Estimated solution to MDA11 . . . . . . . . . . . . . . . . . . . . . . 609
A.27 EMIP-MDA + ERTR solution to MDA12 with p = .1 and .2 . . . . . 610
A.28 EMIP-MDA + ERTR solution to MDA12 with p = .3 . . . . . . . . . 610
A.29 EMIP-MDA + ERTR solution to MDA12 with p = .4 . . . . . . . . . 611
A.30 Estimated solution to MDA12 . . . . . . . . . . . . . . . . . . . . . . 611
A.31 EMIP-MDA + ERTR solution to MDA13 with p = .1 . . . . . . . . . 612
A.32 EMIP-MDA + ERTR solution to MDA13 with p = .2 . . . . . . . . . 612
A.33 EMIP-MDA + ERTR solution to MDA13 with p = .3 . . . . . . . . . 613
xx
A.34 EMIP-MDA + ERTR solution to MDA13 with p = .4 . . . . . . . . . 613
A.35 Estimated solution to MDA13 . . . . . . . . . . . . . . . . . . . . . . 614
A.36 EMIP-MDA + ERTR solution to MDA14 with p = .1 . . . . . . . . . 614
A.37 EMIP-MDA + ERTR solution to MDA14 with p = .2 . . . . . . . . . 615
A.38 EMIP-MDA + ERTR solution to MDA14 with p = .3 . . . . . . . . . 615
A.39 EMIP-MDA + ERTR solution to MDA14 with p = .4 . . . . . . . . . 616
A.40 Estimated solution to MDA14 . . . . . . . . . . . . . . . . . . . . . . 616
A.41 EMIP-MDA + ERTR solution to MDA15 with p = .1 . . . . . . . . . 617
A.42 EMIP-MDA + ERTR solution to MDA15 with p = .2 . . . . . . . . . 617
A.43 EMIP-MDA + ERTR solution to MDA15 with p = .3 . . . . . . . . . 618
A.44 EMIP-MDA + ERTR solution to MDA15 with p = .4 . . . . . . . . . 618
A.45 Estimated solution to MDA15 . . . . . . . . . . . . . . . . . . . . . . 619
A.46 EMIP-MDA + ERTR solution to MDA16 with p = .1 . . . . . . . . . 619
A.47 EMIP-MDA + ERTR solution to MDA16 with p = .2 . . . . . . . . . 620
A.48 EMIP-MDA + ERTR solution to MDA16 with p = .3 . . . . . . . . . 620
A.49 EMIP-MDA + ERTR solution to MDA16 with p = .4 . . . . . . . . . 621
A.50 Estimated solution to MDA16 . . . . . . . . . . . . . . . . . . . . . . 621
A.51 EMIP-MDA + ERTR solution to MDA17 with p = .1 . . . . . . . . . 622
A.52 EMIP-MDA + ERTR solution to MDA17 with p = .2 . . . . . . . . . 622
A.53 EMIP-MDA + ERTR solution to MDA17 with p = .3 . . . . . . . . . 623
A.54 EMIP-MDA + ERTR solution to MDA17 with p = .4 . . . . . . . . . 623
A.55 Estimated solution to MDA17 . . . . . . . . . . . . . . . . . . . . . . 624
A.56 EMIP-MDA + ERTR solution to MDA18 with p = .1 . . . . . . . . . 625
A.57 EMIP-MDA + ERTR solution to MDA18 with p = .2 . . . . . . . . . 625
A.58 EMIP-MDA + ERTR solution to MDA18 with p = .3 . . . . . . . . . 626
A.59 EMIP-MDA + ERTR solution to MDA18 with p = .4 . . . . . . . . . 626
A.60 Estimated solution to MDA18 . . . . . . . . . . . . . . . . . . . . . . 627
A.61 EMIP-MDA + ERTR solution to MDA19 with p = .1 . . . . . . . . . 627
A.62 EMIP-MDA + ERTR solution to MDA19 with p = .2 . . . . . . . . . 628
A.63 EMIP-MDA + ERTR solution to MDA19 with p = .3 . . . . . . . . . 628
A.64 EMIP-MDA + ERTR solution to MDA19 with p = .4 . . . . . . . . . 629
A.65 Estimated solution to MDA19 . . . . . . . . . . . . . . . . . . . . . . 629
A.66 EMIP-MDA + ERTR solution to MDA20 with p = .1 . . . . . . . . . 630
A.67 EMIP-MDA + ERTR solution to MDA20 with p = .2 . . . . . . . . . 630
A.68 EMIP-MDA + ERTR solution to MDA20 with p = .3 . . . . . . . . . 631
A.69 EMIP-MDA + ERTR solution to MDA20 with p = .4 . . . . . . . . . 631
A.70 Estimated solution to MDA20 . . . . . . . . . . . . . . . . . . . . . . 632
A.71 EMIP-MDA + ERTR solution to MDA21 with p = .1 . . . . . . . . . 632
A.72 EMIP-MDA + ERTR solution to MDA21 with p = .2 . . . . . . . . . 633
A.73 EMIP-MDA + ERTR solution to MDA21 with p = .3 . . . . . . . . . 633
A.74 EMIP-MDA + ERTR solution to MDA21 with p = .4 . . . . . . . . . 634
A.75 Estimated solution to MDA21 . . . . . . . . . . . . . . . . . . . . . . 634
B.1 IDH solution to SQ1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 847
B.2 Estimated solution to SQ1 . . . . . . . . . . . . . . . . . . . . . . . . 847
xxi
B.3 IDH solution to SQ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 848
B.4 Estimated solution to SQ2 . . . . . . . . . . . . . . . . . . . . . . . . 848
B.5 IDH solution to SQ3 . . . . . . . . . . . . . . . . . . . . . . . . . . . 849
B.6 Estimated solution to SQ3 . . . . . . . . . . . . . . . . . . . . . . . . 849
B.7 IDH solution to SQ4 . . . . . . . . . . . . . . . . . . . . . . . . . . . 850
B.8 Estimated solution to SQ4 . . . . . . . . . . . . . . . . . . . . . . . . 850
B.9 IDH solution to SQ5 . . . . . . . . . . . . . . . . . . . . . . . . . . . 851
B.10 Estimated solution to SQ5 . . . . . . . . . . . . . . . . . . . . . . . . 851
B.11 IDH solution to SQ6 . . . . . . . . . . . . . . . . . . . . . . . . . . . 852
B.12 Estimated solution to SQ6 . . . . . . . . . . . . . . . . . . . . . . . . 852
B.13 IDH solution to SQ7 . . . . . . . . . . . . . . . . . . . . . . . . . . . 853
B.14 Estimated solution to SQ7 . . . . . . . . . . . . . . . . . . . . . . . . 853
B.15 IDH solution to SQ8 . . . . . . . . . . . . . . . . . . . . . . . . . . . 854
B.16 Estimated solution to SQ8 . . . . . . . . . . . . . . . . . . . . . . . . 854
B.17 IDH solution to SQ9 . . . . . . . . . . . . . . . . . . . . . . . . . . . 855
B.18 Estimated solution to SQ9 . . . . . . . . . . . . . . . . . . . . . . . . 855
B.19 IDH solution to SQ10 . . . . . . . . . . . . . . . . . . . . . . . . . . . 856
B.20 Estimated solution to SQ10 . . . . . . . . . . . . . . . . . . . . . . . 856
B.21 IDH solution to SQ11 . . . . . . . . . . . . . . . . . . . . . . . . . . . 857
B.22 Estimated solution to SQ11 . . . . . . . . . . . . . . . . . . . . . . . 857
B.23 IDH solution to SQ12 . . . . . . . . . . . . . . . . . . . . . . . . . . . 858
B.24 Estimated solution to SQ12 . . . . . . . . . . . . . . . . . . . . . . . 858
xxii
List of Abbreviations
BC Balance constraints
CW Clarke-Wright savings algorithm for the VRP
EMIP Endpoint mixed integer program
ERTR Enhanced record-to-record travel algorithm for the VRP
IDH Inter-depot heuristic for the MDSDVRP
IP Integer program(ming)
IPH IP-based heuristic for the PVRP
LP Linear program(ming)
MDA Minimum delivery amounts
MDIPH IP-based heuristic for the MDVRP
MDSDVRP Multi-depot split delivery vehicle routing problem
MIP Mixed integer linear program(ming)
PVRP Period vehicle routing problem
RC Reassignment constraints
RCH Hard reassignment constraints
RCR Restricted reassignment constraints
RCS Soft reassignment constraints
SDVRP Split delivery vehicle routing problem
VIPH IP-based heuristic for the VRP
VRP Vehicle routing problem
xxiii
Chapter 1
Introduction
The development of high-quality vehicle routes is crucial to the bottom lines
of many businesses that deliver goods or services. There are many examples of com-
panies that rely heavily on the ability to route vehicles in a cost-effective manner
such as the postal service, utilities, commercial sanitation and recycling, food de-
livery, and fuel oil and industrial gas delivery. The details of the routing problems
faced in the real world are often company-specific, but the main objective is the
same: minimize travel costs while satisfying customer demands. In the operations
research literature, problems with this objective are known as vehicle routing prob-
lems (VRPs). VRPs have been studied since the mid-1950s. Over 1,000 papers on
VRPs have appeared in the literature with nearly half being published in the last
10 years [36].
In this dissertation, we develop heuristics for a wide range of VRPs. Our
heuristics are based on integer programming. An integer program (IP) is a variant
of a linear program (LP). An LP has a linear objective function in n-variables that
must be maximized (or minimized) subject to a set of linear constraints. In an IP,
each variable is restricted to an integer value. In a mixed integer program (MIP),
some but not all of the variables must be integers.
The history of the LP dates back to the 1820s when Joseph Fourier proposed
1
a method for solving systems of linear equations. In 1947, George Dantzig?s simplex
method [30] made solving LPs much more practical. Since Dantzig?s work, there
have been many advancements in LP algorithms, including the development of ef-
ficient interior point methods. For more on linear programming, see the paper by
Orden [74] and the text by Bertsimas and Tsitsiklis [12].
IPs and MIPs are generally much more computationally difficult to solve than
LPs. Algorithms for IPs and MIPs often involve solving many LPs in a branch-and-
cut or a column generation scheme [93]. There are several commercially available
LP solvers that have IP and MIP capabilities, including the ILOG CPLEX software
[56]. For more on IPs and MIPs, see the text by Wolsey [93].
In this dissertation, we develop IP-based heuristics for several variants of the
standard VRP: the split delivery vehicle routing problem (SDVRP), the period ve-
hicle routing problem (PVRP), and the multi-depot vehicle routing problem (MD-
VRP). In the SDVRP, more than one vehicle can provide service to a customer.
That is, a customer?s demand can be split between several routes. In the PVRP,
vehicles must be routed daily over a time period. We must first assign customers
to service schedules and then find vehicle routes each day servicing the customers
scheduled on that day. In the MDVRP, there are multiple depots at which vehicles
can begin and end their routes.
We introduce new routing problems that are motivated by real-world con-
cerns. The split delivery vehicle routing problem with minimum delivery amounts
(SDVRP-MDA) is a variant of the SDVRP in which a minimum amount of a cus-
tomer?s demand must be delivered by a vehicle. From a customer?s point of view,
2
a delivery takes time, involves paperwork and data processing, and can distract the
customer from his or her primary activities. As a result, a customer may impose a
minimum delivery amount.
We make theoretical observations about the SDVRP-MDA and develop an
IP-based heuristic for the SDVRP-MDA. To test our heuristic, we construct new
problems with high-quality solutions that can be visually estimated.
In the multi-depot split delivery vehicle routing problem (MDSDVRP), there
are multiple depots from which vehicles can start and end their routes. Our heuristic
for the SDVRP-MDA can be adapted to the MDSDVRP. We present a computa-
tional analysis on the savings attained by splitting deliveries among vehicles based
at the same starting depot and splitting deliveries among vehicles based at different
starting depots. We construct new test problems that have high-quality, visually
estimated solutions.
We introduce the period vehicle routing problem with minimum reassignment
constraints (PVRP-RC) and the period vehicle routing problem with balance con-
straints (PVRP-BC). In many real-world problems, companies need to improve pre-
existing routes without reassigning many customers to new service schedules [62].
In the PVRP-RC, we impose a customer reassignment constraint. The objective
is to improve an initial solution while limiting the disruption caused by customer
reassignments.
Route balance is an important consideration in real-world routing. Companies
are often willing to accept longer routes if the workload among drivers is relatively
equal [62]. In the PVRP-BC, we impose a balance constraint. The objective is to
3
improve an initial solution while maintaining balance across the routes.
Our IP-based heuristic for the PVRP is easily modified to handle both the
PVRP-RC and the PVRP-BC. For each problem, we present a computational anal-
ysis and demonstrate how our results could be used by routing managers to develop
high-quality routes in practice.
This dissertation is organized as follows. In Chapter 2, we give a survey of
the SDVRP literature. In Chapters 3 and 4, we present our work on the SDVRP-
MDA and the MDSDVRP. In Chapter 5, we discuss the PVRP, PVRP-RC, and
PVRP-BC. We consider the VRP in Chapter 5 and the MDVRP in Chapter 6. In
Chapter 7, we give our conclusions. In Appendices A ? E, we give the details of
every problem used in testing and all solutions generated by our heuristics. We also
provide figures illustrating the routes generated by our heuristics and the routes of
the estimated solutions for all new problems with visually estimated solutions.
4
Chapter 2
Recent Developments in Modeling and Solving the Split Delivery
Vehicle Routing Problem
2.1 Introduction
In the standard version of the vehicle routing problem (VRP), vehicles with the
same capacity based at a single depot service many customers. A customer?s demand
is delivered in one visit by a single vehicle. We must find the minimal cost set of
routes for the vehicles that start and end at the depot and do not violate vehicle
capacity. The VRP has been studied for nearly 50 years. The book by Golden,
Raghavan, and Wasil [46] contains 25 papers that describe the latest applications,
algorithms, and computational results.
In the late 1980s, researchers considered the possibility of serving a customer
by more than one vehicle in order to potentially reduce the total distance traveled
by the fleet of vehicles. The split delivery vehicle routing problem (SDVRP) retains
all features of the standard VRP, but allows a customer?s demand to be split among
several vehicles. In Figure 2.1, we give an example of the SDVRP with three cus-
tomers (labeled 1, 2, 3) and a single depot. Each customer has a demand of three
units, each vehicle has a capacity of four units, and distances are shown adjacent
to edges. In Figure 2.1(b), the optimal solution to the standard VRP with no split
5
deliveries has one vehicle traveling directly out to each customer, delivering three
units, and returning back to the depot for a total distance of 16. In Figure 2.1(c),
split deliveries are allowed. Customers 2 and 3 are now serviced by two different
vehicles and the total distance has been reduced to 15.
In the last five years or so, research work on the SDVRP has increased signifi-
cantly, so that there are currently more than a dozen articles in which the modeling
and solving of the SDVRP and its variants (such as the SDVRP with time windows)
are addressed. We believe that part of the renewed interest in the SDVRP is due
to the increased costs (such as higher fuel and maintenance costs) associated with
operating commercial fleets and the need for management to reduce these costs as
much as possible. In addition, the availability of powerful metaheuristics has made
this problem easier to study computationally. In this chapter, we summarize the
open literature on the SDVRP (Section 2.2), provide details of solution procedures
and report computational results on benchmark problems (Section 2.3), and suggest
future research directions (Section 2.4).
2.2 Summary of the Recent Literature
The SDVRP was introduced by Dror and Trudeau [33] in 1989. For the next
15 years, there was a steady trickle of published papers and their algorithmic ac-
complishments and applications have been described in Chen, Golden, and Wasil
[20] and Archetti and Speranza [4].
In this section, we summarize recent work on the SDVRP. We focus on the 15
6
2
1
Depot
3
4 1 1
2 23 3
4 4
2
2
22
2
1
1
22
1
(3) (3)
(1) (1)(2) (2)
VRP
Total Distance = 16
SDVRP
Total Distance = 15
Depot Depot
(a) (b) (c)
Figure 2.1: Splitting deliveries may reduce the distance traveled by a fleet. Customer
demand is three units, vehicle capacity is four units, and edge labels are distances.
papers given in Table 2.1 that model and solve the SDVRP and its variants from
2004 to 2008. Our summary of each paper will fall into one of three categories: (1)
Heuristics, (2) Exact methods and bound-generating procedures, and (3) SDVRP
variants.
2.2.1 Heuristics
2.2.1.1 Tabu Search
Archetti, Speranza, and Hertz [6] formulate a mixed integer program for the
SDVRP in which the quantity delivered on a route cannot exceed a value k (they call
this problem the k-SDVRP). The authors develop a tabu search algorithm (called
SPLITABU) for solving the k-SDVRP. Their algorithm has three phases: (1) Initial
feasible solution phase. Make as many direct trips to customers as possible and then
7
Table 2.1: Summary of 15 papers that model and solve the SDVRP from 2004 to
2008.
Authors Year Algorithm Variant
Ho, Haugland [55] 2004 Tabu search Time windows
Mitra [69] 2005 Cheapest-insertion Backhauls
Archetti, Speranza, Hertz [6] 2006 Tabu search
Lee et al. [61] 2006 Dynamic program, shortest path Exact algorithm
Boudia, Prins, Reghioui [14] 2007 Memetic algorithm
Chen, Golden, Wasil [20] 2007 MIP, record-to-record travel
Jin, Liu, Bowden [57] 2007 LP with valid inequalities Exact algorithm
Mitra [70] 2007 Cluster and route Backhauls
Mota, Campos, Corber?an [71] 2007 Scatter search
Tavakkoli-Moghaddam et al. [89] 2007 Simulated annealing Heterogeneous fleet
Thangiah, Fergany, Awan [90] 2007 First insertion, local search Real-time events
Archetti, Speranza, Savelsbergh [8] 2008 IP route optimization
Jin, Liu, Eksioglu [58] 2008 Column generation Bounds generation
Liu, Lei, Park [65] 2008 Greedy heuristic, bin-packing Fixed route
Nowak, Ergun, White [73] 2008 Local search, Clarke-Wright Pickups
solve a giant traveling salesman tour using the GENIUS algorithm [40]. (2) Tabu
search phase. Remove a customer from a current set of routes and insert it on a new
route or an existing route with available capacity in the cheapest way. Consider
inserting a customer on a route without removing it from its current route. (3)
Final improvement phase. Improve the solution from the second phase (apply the
GENIUS algorithm to individual routes). SPLITABU has only two parameters that
need to be set: the length of the tabu list and the maximum number of iterations.
The authors also modify SPLITABU in two ways. Solutions are improved using
the node interchanges of Dror and Trudeau [33] and 2-opt (this version is called
SPLITABU-DT). The authors limit the run time of the second phase to one minute
(this version is called FAST-SPLITABU).
Archetti, Speranza, and Hertz test their three algorithms on seven problems
8
with 50 to 199 customers. Customer demand in each problem is generated using
the rules proposed by Dror and Trudeau [33] and this results in 49 test problems.
The authors run each algorithm five times on each problem and compare results to
those generated by Dror and Trudeau?s algorithm [33] (denoted by DT). Overall,
SPLITABU-DT is the best performer. On every problem, it finds a better solution
than DT. The best solutions produced by SPLITABU-DT are nearly 5.4% lower on
average than the solutions produced by DT.
2.2.1.2 Genetic Algorithm
Boudia, Prins, and Reghioui [14] solve the SDVRP using a memetic algorithm
with population adjustment (MA|PM) described in [86]. The authors create an
initial population of VRP solutions with no splits using the Clarke-Wright algo-
rithm [25] and the sweep method of Gillett and Miller [43]. Two parent solutions
are selected and offspring are created using crossover. The offspring are converted
into a solution to the SDVRP (using a procedure called Split). Solutions are im-
proved using traditional VRP local search procedures including customer exchange
and 2-opt moves. The authors also consider moves based on the k-split procedure
of Dror and Trudeau [33] to split a customer or change the delivery amounts on
each visit. An offspring is selected for improvement with a fixed probability. If an
improved offspring is better than the current best solution, it replaces a member
of the population. In addition, the authors use a threshold to promote diversity in
the population, so that an improved solution can enter the population only if it is
9
sufficiently different from existing solutions (the notion of diversity control using a
distance measure in the solution space is described in [86]).
Boudia, Prins, and Reghioui apply their MA|PM algorithm to the 49 problems
used by Archetti, Speranza, and Hertz [6] and compare results to SPLITABU-DT.
They find that one run of MA|PM improves the SPLITABU-DT solution (average
of five runs) in 37 problems and appears to be faster (although the machines are
slightly different).
2.2.1.3 Mixed Integer Programming with a Routing Metaheuristic
Chen, Golden, and Wasil [20] focus on the SDVRP. First, they review ap-
plications of the SDVRP and the literature on this topic. Next, they present an
innovative solution procedure that combines a mixed integer program and a rout-
ing metaheuristic (namely, the record-to-record travel algorithm). This procedure
is referred to as EMIP + VRTR. In computational experiments, EMIP + VRTR
clearly outperforms SPLITABU-DT on the problem set given in [6]. In addition,
the authors present 21 new benchmark SDVRP instances with 8 to 288 customers
as well as high-quality solutions to these new instances.
2.2.1.4 Scatter Search
Mota, Campos, and Corber?an [71] present a new metaheuristic procedure to
solve the SDVRP. In particular, they apply scatter search to obtain a low-cost
feasible solution which uses the minimum number of routes (i.e., vehicles). This
10
objective function is slightly different from the one minimized in [6, 8, 14, 20]. There
may be a number of low-cost solutions using more than the minimum number of
vehicles.
A giant tour approach is applied to ensure a set of initial feasible solutions
with the minimum number of vehicles. The Clarke-Wright savings algorithm [25]
is also used to generate initial feasible solutions. While there is no guarantee that
these solutions minimize the number of vehicles, they often do. These initial fea-
sible solutions are improved using a variety of standard interchange and exchange
operations.
A reference set of feasible solutions is then established and rules for combining
feasible solutions are specified. If a (new) combined solution is infeasible, it is
repaired. If it is feasible, it is improved.
The scatter search results are compared to the results from Archetti, Speranza,
and Hertz [6] over 49 instances ranging in size from 50 to 199 customers. Overall,
the scatter search results are not as good as the SPLITABU-DT results. However,
since the objective functions are not the same, this comparison is problematic.
2.2.1.5 Route-Optimization Heuristic using Mixed Integer Program-
ming
Archetti, Speranza, and Savelsbergh [8] model the SDVRP as a route-optimization
mixed integer program. For every feasible route, there is a binary variable in the
MIP that determines whether or not a route is part of the optimal solution. It
11
is not computationally tractable to examine all routes in order to minimize travel
cost. The authors develop a technique to identify subsets of routes over which the
route-optimization MIP can be solved.
Using the tabu search heuristic given in [6], edges that appear in a high per-
centage of solutions are identified, and a set of routes ?R is generated by extending
routes through these identified edges. A subset R of ?R is then created according
to three criteria: 1) routes of the best-known solution are included, 2) routes with
positive value in the solution to the LP relaxation of the route-optimization MIP
over ?R are included, and 3) routes with a high desirability are included, where the
desirability measures are based on the dual variables of the LP relaxation. A route-
optimization phase is then conducted by iteratively generating R and solving the
route-optimization MIP.
Archetti, Speranza, and Savelsbergh track the performance of their route-
optimization heuristic and their tabu search heuristic on the data set from [6]. They
also provide the gap between the solution given by the route-optimization heuristic
and the LP relaxation solution of the route-optimization MIP over ?R (this is likely to
be close to a lower bound for the problem). They find that the average improvement
over the tabu search heuristic is approximately 0.5%, and the average gap between
the route-optimization solution and the LP relaxation solution is approximately
2.2%.
12
2.2.2 Exact Methods and Bound Generating Procedures
2.2.2.1 Dynamic Programming
Lee, Epelman, White, and Bozer [61] examine the multiple vehicle routing
problem with split pickups (denoted by mVRPSP). Vehicles with the same capacity
are based at a single depot and must pick up items at suppliers and deliver them to
the depot. A supplier can be visited by more than one vehicle so that split pickups
are permitted.
The authors presenttwo mixed integer programming formulations of the mVRPSP.
They then develop a dynamic programming formulation and show how to solve it
using a shortest path approach (SPA).
Lee at al. perform computational tests on a set of 198 small test problems
(nine geographic layouts of randomly located suppliers ? 22 supply vectors) where
each problem has four, five, or seven suppliers. SPA solves the problems with four
and five suppliers in under a second, while the MIP solution times (the MIPs are
solved with CPLEX 9.0) range from under a second to more than an hour. The
problems with seven suppliers are too large to be solved as MIPs, while SPA solves
them all in times that range from under one second to 513 seconds.
2.2.2.2 Linear Programming with Valid Inequalities
Jin, Liu, and Bowden [57] propose a two-stage algorithm to optimally solve
the SDVRP. In the first stage, a clustering sub-problem is solved in which travel
distances are ignored, but all demand is satisfied. At each iteration, this yields a
13
lower bound.
In the second stage, a traveling salesman problem (TSP) is solved for each
cluster. Since average customer demand is greater than 10% of vehicle capacity
in SDVRPs of interest to the authors, these TSPs are relatively small and easy to
solve to optimality. The sum of these TSP lengths over all clusters provides an
upper bound on the optimal solution. The authors show how to iterate between the
two stages and they develop new valid inequalities for the first stage problem.
Computational experiments demonstrate that on small problems (seven cus-
tomers), the two-stage algorithm outperforms the dynamic programming approach
of Lee et al. [61].
2.2.2.3 Column Generation
Jin, Liu, and Eksioglu [58] propose a column generation approach to find upper
bounds (UB) and lower bounds (LB) for the SDVRP. First, the authors compute
the minimum number of vehicles (K) required to satisfy total demand. They allow
more than K vehicles in their solution since they seek to minimize the total distance
traveled.
Next, they define their master problem and pricing sub-problem. The LP
relaxation of the master problem is solved using CPLEX 9.0. A limited-search-
with-bound algorithm is developed to efficiently solve the pricing sub-problem.
The proposed column generation algorithm is tested on 11 problem instances
and compared with the cutting plane approach of Belenguer, Martinez, and Mota
14
[10]. The column generation algorithm is able to obtain gaps (UB?LB)/UB which
are consistently smaller than those generated by Belenguer et al.
2.2.3 SDVRP Variants
2.2.3.1 Time Windows
Ho and Haugland [55] study the VRP with time windows and split deliveries
(denoted by VRPTWSD). This problem is NP-hard and they show how it can be
formulated as a mixed integer program (they do not try to solve the MIP). The
authors develop a three-step heuristic that uses tabu search to solve the VRPTWSD.
An initial feasible solution is generated by analyzing travel time and waiting time.
This solution is improved by using four different tabu move operators: (1) remove a
customer from a route and relocate it to a different route, (2) relocate a customer and
split its demand, (3) exchange two customers on different routes, and (4) modified
2-opt exchanges. A post-processor that is based on unstringing and stringing found
in the GENIUS algorithm [41] is applied to the best solution found during the search
process.
Ho and Haugland conduct computational experiments using the six sets of
benchmark test problems of Solomon [85]. These problems have 100 customers that
are randomly generated, clustered, or semi-clustered with Euclidean distances. The
demands of the customers are modified by Ho and Haugland so that they could
study how the ratio of demand to capacity affects splitting. They solve all problems
using their heuristic with splitting and without splitting and report average values
15
for the total distance traveled and the number of vehicles. Ho and Haugland find
that, for the most part, splitting deliveries produces better solutions (smaller total
distance, fewer vehicles).
2.2.3.2 Split Deliveries and Pickups (Backhauls)
Mitra [69] examines the VRP with split deliveries and pickups (VRPSDP).
Deliveries and pickups can occur in any sequence and a customer may be visited
more than once by the same vehicle. Mitra first wants to minimize the number of
required vehicles and then route the vehicles to minimize the total travel cost. He
formulates the VRPSDP as a mixed integer program and tries to solve problems with
19 customers and one depot to optimality in a reasonable amount of computing time
(30 minutes or less). He considers 55 problems with two different sets of edge costs
so that there are a total of 110 test problems. Mitra solves 28 problems to optimality
and finds upper bounds to the total route cost for the remaining problems.
Mitra develops a heuristic procedure for solving the VRPSDP. The heuristic
starts by determining the minimum number of vehicles needed to meet all deliveries
and pickups. The routes for the vehicles are then constructed sequentially using
cheapest insertion. Mitra reports the heuristic found 22 of the 28 optimal solutions
in about one-quarter of the MIP?s computation time on average.
In a subsequent computational study, Mitra [70] extends his earlier work on
the VRPSDP. After a literature review and problem statement, Mitra formulates
the VRPSDP as an MIP. Next, he presents a cluster-first, route-second heuristic.
16
The number of clusters is known in advance and is equal to the minimum number
of vehicles required. The expression for this number is given in the paper.
Once clusters are formed, a route construction procedure is applied. Next,
the proposed heuristic is compared with the author?s earlier heuristic (see Mitra
[69]) over a problem set of 110 instances. The new heuristic is found to perform
statistically better than the earlier heuristic. Finally, Mitra applies his cluster-first,
route-second heuristic to the VRP with simultaneous deliveries and pickups, runs
some preliminary computational experiments, and compares his results to those
found in [21].
2.2.3.3 Heterogeneous Fleet
Tavakkoli-Moghaddam, Safaei, Kah, and Rabbani [89] consider the capacitated
vehicle routing problem with split services and a heterogenous fleet, denoted by
CHVRPSS. In the CHVRPSS, there are Q vehicle classes each with a different
capacity. Each class q contains vq vehicles, q = 1,...,Q, and the total number of
available vehicles is V = summationtextQq=1 vq. The authors formulate the CHVRPSS as a mixed
integer program. They use an objective function that contains travel cost, a cost per
vehicle, and a penalty term for unused capacity. The MIP is solved to optimality
using Lingo 8.0 on five instances with six nodes.
Tavakkoli-Moghaddam et al. propose a simulate annealing (SA) heuristic for
solving the CHVRPSS. An initial solution is generated by considering vehicles or-
dered by capacity (largest to smallest), and adding random customers to a current
17
route until capacity is reached. Next, the simulated annealing heuristic is applied
to the problem. In the SA heuristic, a neighbor of a current solution is explored
through either a one-node move or a two-node move (the move selection is random).
The neighbor replaces the current solution with a probability that depends on the
cost difference between the neighbor and the current solution, and the temperature
of the algorithm. After a fixed number of iterations at different temperatures, the
heuristic stops and returns the best solution.
Tavakkoli-Moghaddam et al. test the SA heuristic on the five instances solved
to optimality. They find an average gap of 1.36%. On 19 larger problems (10 to 100
nodes), they compare the results of the SA heuristic to a lower bound obtained by
solving a traveling salesman problem on all nodes. On average, the SA heuristic is
approximately 26% above the lower bound.
2.2.3.4 Real-time Events
Thangiah, Fergany, and Awan [90] study the split-delivery pickup and delivery
time windows problem with transfers (SDPDTWP) over a real-time horizon. In the
SDPDTWP, a fleet of un-capacitated vehicles must deliver a set of shipments. Each
shipment has a time window [a,b], where a is the earliest time a shipment can be
picked up from its origin, and b is the latest time a shipment can be dropped off
at its destination. A shipment can be split or transferred to reduce travel time. A
split occurs when shipments from the same origin are serviced by different vehicles.
A transfer occurs when a vehicle leaves a shipment at an intermediate stop to be
18
picked up and delivered to its destination by a different vehicle. There is no central
depot in the SDPDTWP. A vehicle begins its route at one of the origin nodes, and
ends its route at the last destination node on its route. The SDPDTWP is set
in real-time. Events including deletion, insertion, and modification of a shipment,
and deletion (breakdown) and insertion of a vehicle can occur throughout the time
horizon of an SDPDTWP instance.
There are three objectives in the SDPDTWP. First, minimize the number of
vehicles that is needed to make all pickups and deliveries within the specified time
windows. The number of available vehicles must be determined a priori (before
any routing is done), so it might not be possible to make all pickups and deliveries
using the available fleet. Second, minimize the number of shipments that need to
be rescheduled (these are the shipments that cannot be serviced during their time
windows). Third, minimize the total travel time of the fleet.
Thangiah, Fergany, and Awan develop a heuristic for solving the SDPDTWP
that is based on the work of Shang and Cuff [83]. First, the number of vehicles is
determined and shipments are inserted into routes. Second, a local search is con-
ducted. When real-time events occur throughout the time horizon, the heuristic will
respond. For example, when a new shipment is introduced, the heuristic attempts
to reroute the vehicles in a way that includes the new shipment while minimizing
the effects on travel time and other shipments.
Thangiah, Fergany, and Awan test their heuristic on a static instance (no
real-time events) of 159 shipments given by Shang and Cuff [83]. For this instance,
the authors? heuristic produces a solution that services all shipments while using
19
fewer vehicles and reducing average travel time by over 75% when compared to
the results of Shang and Cuff [83]. They also test their heuristic on new instances
that incorporate real-time events into the first instance. The authors examine how
different real-time events affect the routes in terms of the number of unserviced
customers and travel times.
2.2.3.5 Delivering Multiple Products on a Fixed Route
Liu, Lei, and Park [65] examine a variant of the SDVRP in which multiple
products are delivered to a set of customers on a fixed route. They call this prob-
lem the multi-product packing-delivery problem with a fixed route, and denote the
problem by P. In P, n customers have a fixed order 1,...,n in which they must be
visited. There are K products of varying size per unit demand, and each customer
has a demand for each product. The objective is to partition the customers along
the fixed sequence into feasible trips (i.e., trips that do not violate vehicle capacity)
in a way that minimizes total travel cost. Service at a customer can be split between
the last stop on a trip (the stop immediately preceding the return to the depot) and
the first stop on the following trip.
Liu, Lei, and Park develop a heuristic for solving P. First, the optimal solution
is found for the non-split case p0 over a sequence of customers S (initially S is the
entire sequence of customers). The authors show that, by converting the non-split
problem to a shortest path problem, p0 can be found in O(n2log(n)) time. Next, the
first trip in p0 with excess capacity is extended to use all of its left-over capacity, and
20
this leads to a split delivery for a customer j. Let j? represent customer j on the
current route and j+ represent customer j on the next route. A bin-packing routine
determines the products to be delivered to node j?. Optimal non-split solutions are
determined for the segments S1 = {1,2,...,j?} and S2 = {j+,...,n}. If the sum of
the costs of these two solutions is less than the cost of p0, then the split is made.
The solution from segment S1 is added to the end of the current solution p and
the process repeats with S2 replacing S. If the sum of the costs is greater than the
cost of p0, then the split is not made and the next candidate split is considered. If
there are no candidate splits to consider, then the algorithm adds p0 to the end of
p, stops, and returns p.
Liu, Lei and Park test their heuristics on instances with 1, 2, or 3 products
of varying size. The instances have 50, 100, 200, 300, or 400 customers randomly
generated in a 100 by 100 square in the plane. Demands all fall into a range of
[5?15%],[10?40%],[0?100%], or [25?75%] of vehicle capacity, and are a random
mix of the K products. A total of 14,000 different instances were used and the
authors provide graphs illustrating that improvement in solution quality, usually
between 8% and 12%, can be achieved by splitting deliveries.
2.2.3.6 Pickup and Delivery with Split Loads
Nowak, Ergun, and White [73] introduce the pickup and delivery problem with
split loads (PDPSL). The PDPSL is modeled on a network of load origin nodes, load
destination nodes (a node may serve as both an origin and a destination node), edges
21
with travel costs between the nodes, and transportation requests. A transportation
request is a load of goods that must be delivered from a specific origin to a specific
destination. When a vehicle arrives at an origin, it can pick up any amount of any
load to be delivered, up to its capacity. When a vehicle arrives at a destination, it
delivers the destination?s entire load. The objective of the PDPSL is to find a route
for a single vehicle that meets all transportation requests while minimizing travel
costs. There is no depot in the PDPSL. A vehicle begins its route at a pre-specified
origin node and can end at any of the destination nodes.
Nowak, Ergun, and White develop a heuristic for solving the PDPSL with
three basic steps. First, they generate an initial solution that has dedicated trips
directly from the origin to the destination for each transportation request. Second,
feasible splits are identified by comparing load sizes to occurrences of excess capacity
along a vehicle?s route. Then a split is made with a probability determined by the
profitability of the split (e.g., a very profitable split has a high probability of being
accepted). After a split is made, it is added to a tabu list to ensure that it is not
subsequently undone, or selected again. Third, improvement procedures including a
route combination routine similar to the Clarke-Wright algorithm for the VRP [25],
a load swap routine, and a load insertion routine are applied and the best solution
is saved.
The authors test their heuristic on two problem sets each with 120 instances
of three sizes: small (5 origins, 15 destinations, and 75 requests), medium (5 origins,
20 destinations, and 100 requests), and large (5 origins, 25 destinations, and 125
requests). Origin and destination locations and load sizes are randomly generated
22
within specified ranges. The authors also test their heuristic with the splitting step
omitted on the same instances. They observe that in most instances significant
savings are achieved by allowing split deliveries.
Nowak, Ergun, and White provide the results of a computational experiment
performed for an anonymous third party logistic provider (3PL). To meet the real-
world requirements of the 3PL, the PDPSL is modified in several ways: using a
multi-vehicle fleet, penalizing one-way trips, enforcing minimum and maximum tour
lengths, and imposing a financial and time-associated cost for each stop. Their
heuristic for the PDPSL was modified, and run with and without splits on the 3PL
data. A very modest savings of around 1% on average was achieved by splitting. The
authors attribute the low level of savings to the complexity added by the real-world
constraints.
2.3 Computational Issues for the SDVRP
In this section, we discuss computational issues for the standard SDVRP.
2.3.1 Problem Sets
There are three sets of benchmark problems for the SDVRP. Several papers
focus on the six problems (1, 2, 4, 5, 11, 12) from Christofides and Eilon [23] and
Christofides, Mingozzi, and Toth [24] with 50, 75, 100, 120, 150, and 199 customers.
For each problem, a customer?s demand is generated according to the six scenarios
([0.01 ? 0.1],[0.1 ? 0.3],[0.1 ? 0.5],[0.1 ? 0.9],[0.3 ? 0.7],[0.7 ? 0.9]) given by Dror
23
and Trudeau [33]. The demand for customer i in scenario [? ? ?] with a vehicle
capacity of Q units is randomly selected from a uniform distribution on the interval
[?Q,?Q] (we denote this problem set by CEMT).
Belenguer, Martinez, and Mota [10] develop a set of 14 random problems
with 50, 75, and 100 customers where the vehicle capacity is 160 and the six sce-
narios of Dror and Trudeau [33] are used to randomly generate a customer?s de-
mand (we denote this problem set by BMM). All problems are available online at
www.uv.es/belengue/sdvrp.html.
Recently, Chen, Golden, and Wasil [20] develop 21 test problems that range
in size from 8 customers to 288 customers (we denote this problem set by CGW).
Vehicle capacity is 100 units and customer demand is either 60 units or 90 units.
The problems are generated along the lines of scenario six with very large customer
demand ([0.7 ? 0.9]) from Dror and Trudeau [33]. Each problem has a geometric
symmetry (star shape) with customers located in concentric circles around the depot
that allows the authors to visually estimate a near-optimal solution. The problem
generator is given in [20]. The problems are given in Appendix A.
2.3.2 Reporting Computational Results
It is not a straightforward task to compare results across different papers. For
example, consider the results reported by Archetti, Speranza, and Hertz [6] and
Chen, Golden, and Wasil [20].
Archetti, Speranza, and Hertz [6] randomly generate problems from CEMT.
24
They use six demand scenarios and six problem sizes (50 customers to 199 customers)
for a total of 6 ? 6 = 36 problems. They run SPLITABU-DT five times on one
instance of each scenario and provide the average percent improvement over Dror
and Trudeau?s results. The authors use a 2.4 GHz Pentium 4 processor with 256
MB of RAM.
Chen, Golden, and Wasil [20] randomly generate 36 problems from CEMT
with the same demand scenarios and problem sizes used by Archetti, Speranza,
and Hertz [6]. For each problem, they solve 30 instances on a 1.7 GHz Pentium 4
processor and 512 MB of RAM. How do you compare the results reported in both
papers?
The first key issue is that the 36 problems are randomly generated, making
them different in both papers. Any direct comparison is flawed from the outset.
You might be thinking: Why didn?t Chen, Golden, and Wasil [20] use the 36 actual
problem instances solved by Archetti, Speranza, and Hertz [6] in their 2006 paper?
Well, they were simply not available.
Let?s take the reported results for a 50-customer problem with the [0.01 ?
0.1] scenario. Archetti, Speranza, and Hertz [6] solve one instance of this problem
five times and report an average improvement of 5.12% over Dror and Trudeau?s
algorithm. Chen, Golden, and Wasil [20] solved 30 different instances of this problem
and have 30 solution values. How do you compare the 5.12% to the 30 solution
values?
Archetti was kind enough to provide Chen, Golden, and Wasil [20] with the
actual solutions produced by SPLITABU-DT for each problem size and scenario.
25
These solutions are shown in Table 2.2.
These are more detailed results, but it is still not easy to make a direct com-
parison of five solution values to 30 solution values. The second key issue is: How
do you make reasonable comparisons when the data are different?
Chen, Golden, and Wasil [20] propose a simple statistical test. If EMIP +
VRTR and SPLITABU-DT are equally good with respect to solution quality, then
SPLITABU-DT would beat the median EMIP + VRTR result about half the time.
Using a binomial distribution with n = 36 (this corresponds to one run over 36 cases)
and p = 1/2, they test the null hypothesis that the results of the two methods are
equally good (H0 : p = 0.50) against the alternative hypothesis that SPLITABU-
DT performs worse than the median value of EMIP + VRTR (Ha : p < 0.50).
Using a significance level of 0.01, the null hypothesis would be rejected when (?p?
0.5)/
radicalBig
(0.5)(0.5)/36 ? ?2.33 or ?p ? 0.3058. If SPLITABU-DT performs better
than the median value of EMIP + VRTR in (0.3058)(36) = 11 instances or less for
a single run over 36 cases, then the null hypothesis would be rejected. The median
values for EMIP + VRTR are given in Table 2.2.
For each of the five runs of SPLITABU-DT over the 36 cases, Chen, Golden,
and Wasil [20] count the number of times the SPLITABU-DT solution is better than
the median solution of EMIP + VRTR. For each run, the count for SPLITABU-DT
is much less than 11 and, therefore, they reject the null hypothesis and conclude
that SPLITABU-DT performs worse than EMIP + VRTR.
26
Table 2.2: Median values produced by EMIP + VRTR and actual values produced
by SPLITABU-DT for a problem from CEMT.
50 customers with vehicle capacity 160 SPLITABU-DT
Scenario EMIP + VRTR* 1 2 3 4 5
[0.01?0.1] 457.21 464.64 464.64 466.19 460.79 462.54
[0.1?0.3] 723.57 751.60 767.46 752.84 760.57 774.56
[0.1?0.5] 943.86 1013.00 1015.15 997.22 1007.13 1010.86
[0.1?0.9] 1408.34 1461.01 1473.29 1470.11 1443.84 1501.39
[0.3?0.7] 1408.68 1507.60 1491.92 1490.73 1487.02 1507.25
[0.7?0.9] 2056.01 2166.34 2174.81 2166.11 2170.43 2148.38
* median solution value over 30 instances given in [20]
2.3.3 Summary of Computational Issues
The availability of only randomly generated problems coupled with different
computing platforms makes the comparison of published computational results dif-
ficult. Most algorithms have not been run on exactly the same set of SDVRP test
problems. Sometimes researchers devised clever tests or used comparison contor-
tions to make their points. Larger problems with visually estimated solutions are
now available for researchers to test their algorithms.
2.4 Conclusions and Future Directions
In recent years, the SDVRP has drawn a significant amount of attention in
the operations research literature. Powerful solution methods including tabu search,
simulated annealing, record-to-record travel algorithm, genetic algorithms, dynamic
programming, and mixed integer programming have been applied to the SDVRP
27
and have produced high-quality results to benchmark problems. Researchers have
begun to consider interesting variants of the SDVRP that account for time windows,
pickups, and backhauls.
In the future, we expect that, with rapidly rising fuel prices and increasing
vehicle purchase and maintenance costs, companies with significant routing compo-
nents will try to reduce costs by considering split deliveries. OR practitioners and
researchers will play an important role in developing the algorithms for implemen-
tation in software and systems for solving practical applications of the SDVRP.
28
Chapter 3
The Split Delivery Vehicle Routing Problem with Minimum Delivery
Amounts
3.1 Introduction
In the vehicle routing problem (VRP), a fleet of vehicles must service the
demands of customers. A vehicle begins and ends its route at the same depot and
the sum of the demands of the customers on a route cannot exceed a vehicle?s
capacity. A customer must have all of its demand delivered at one time by a single
vehicle. The objective is to minimize the total distance traveled by the fleet.
In the split delivery vehicle routing problem (SDVRP), more than one vehicle
is allowed to service a customer, so that a customer?s demand can be split among
several vehicles on different routes. The objective in the SDVRP is to minimize the
total distance traveled by the fleet, while satisfying the demand of each customer.
By allowing split deliveries, the cost of a solution can potentially be reduced by as
much as 50% [5].
In this chapter, we consider the SDVRP with an additional constraint: each
customer has a minimum delivery amount. The motivation for this requirement is
a practical one. In general, a visit to a customer is costly to both the distributor
and the customer. It takes time, involves paperwork and data processing, and often
29
distracts the customer from primary activities. As a result, both parties want a visit
to be consequential. The distributor or customer may impose a minimum delivery
amount or a minimum delivery value.
For example, restaurants such as Pizza Hut [75] will deliver orders placed by
telephone or online provided that the order is at least $8.00 (approximately). In
St. John?s, Newfoundland, local oil delivery companies decided not to deliver fuel
to homes unless the delivery value is at least $200.00 (Canadian) [87]. In modeling
the delivery of industrial gases as an inventory routing problem for PRAXAIR,
Campbell, Clarke, and Savelsbergh [16] imposed a minimum total volume of gas
that had to be delivered to a customer by the end of a day. In practice, there may
also be minimum amounts required when delivering gasoline to service stations.
With split deliveries, the issue is exacerbated. It is especially undesirable for
the customer to be interrupted and distracted twice (or more), unless the delivery
is substantial in amount or value each time. Thus, we allow a customer?s demand
to be split among several vehicles only if each vehicle delivers at least a minimum
amount when it visits the customer. We call this problem the split delivery vehicle
routing problem with minimum delivery amounts and denote it by SDVRP-MDA.
We model the SDVRP-MDA on a complete graph G = (V,E) in which each
node (customer) i ? V has demand Di and each edge e ? E has distance ce. Let Q
be the vehicle capacity and v0 ? V be the depot. Let R be a set of routes on G. Let
V(r) be the set of nodes, E(r) be the set of edges that comprise a route r ? R, and
dir be the amount delivered to node i on route r. Let ?i be the minimum amount of
demand that must be satisfied by each vehicle visiting customer i. We want to find
30
a set of routes R such that
? each route begins and ends at v0, for all r ? R
? summationtexti?V(r) dir ? Q, for all r ? R (vehicle capacity restriction)
? summationtextr?R dir = Di, for all i ? V (demand must be satisfied for each customer)
? dir ? ?i, for all i ? V(r) and for all r ? R (minimum delivery amount)
? minimize summationtextr?Rsummationtexte?E(r) ce (total distance is minimized).
In our work, the minimum delivery amount is a fixed percentage of a customer?s
demand. That is, we let p be the minimum delivery fraction (0 ? p ? 1), and let
?i = pDi, for customer i. However, it is possible to use any minimum delivery
amount, provided 0 ? ?i ? Di.
In Figure 3.1, we provide an example of the SDVRP-MDA. In Figure 3.1(a),
we have three customers (nodes 1, 2, and 3) and a depot (node 0). Edge labels
are distances and node labels in parentheses are demands. The vehicle capacity is
120. The optimal solution to the VRP (no split deliveries allowed) has three direct
round-trips for a total distance of 30. In Figure 3.1(b), we show the optimal solution
to the traditional SDVRP with no minimum delivery amounts (p = 0). By allowing
split deliveries, the total distance traveled by the fleet in the SDVRP (25 units) is
smaller than the distance traveled in the VRP (30 units). In Figure 3.1(c), we set
p = .3 so that each customer must have at least 30% of its demand delivered by a
vehicle. We observe that the solution in Figure 3.1(b) is not feasible when p = .3
31
0 0 0
1 1 1
2
3
2 2
3 3
3 5
5 5
2
5
(100)
(80) (60)
(100)
(60)
(60)(20)
(100)
(80)
(40)
(20)
Total Distance = 25 Total Distance = 27
p p= 0 = .3
VRP
Total Distance = 30
SDVRP SDVRP ?MDA
(a) (b) (c)
Figure 3.1: An SDVRP-MDA example with four nodes. The edge labels are dis-
tances and the node labels in parentheses are demands. The vehicle capacity is 120.
(the split delivery to customer 1 has only 25% of its demand (20 units) on one of
the two routes).
The remainder of this chapter is organized as follows: In Section 3.2, we review
the literature on the SDVRP. In Section 3.3, we present theoretical properties of the
SDVRP-MDA. In Section 3.4, we develop an algorithm for solving the SDVRP-
MDA that uses a mixed integer program and an enhanced record-to-record travel
algorithm. In Section 3.5, we present computational results. In Section 3.6, we give
our conclusions and suggestions for future work.
3.2 Literature Review of the SDVRP
Over the last 20 years, researchers have developed several procedures for solv-
ing the SDVRP. In the late 1980s and early 1990s, Dror and Trudeau [33, 34] used a
32
two-stage algorithm that incorporated k-split interchanges and route additions. Re-
cently, Archetti, Speranza, and Hertz [6] developed a tabu search algorithm for solv-
ing the SDVRP. Chen, Golden, and Wasil [20] combined an endpoint mixed integer
program and a variable length record-to-record travel algorithm. Mota, Campos,
and Corber?an [71] used a scatter-search procedure. The papers by Archetti and
Speranza [4] and Gulczynski, Golden, and Wasil [51] are good sources for recent
developments in modeling and solving the SDVRP.
Researchers have constructed bounds for the SDVRP. Belenguer, Martinez,
and Mota [10] considered the polyhedron formed by feasible solutions to the SD-
VRP and proposed a cutting-plane algorithm that produced a lower bound. They
obtained an upper bound using the solution generated by an algorithm due to Mar-
tinez [66]. Jin, Liu, and Eksioglu [58] improved the bounds given in [10] with a
column generation procedure.
Several variants of the traditional SDVRP have been explored in the litera-
ture including the SDVRP with time windows [31, 55], pickups and deliveries [70],
and a heterogeneous fleet [89]. Real-world applications of the SDVRP include the
distribution of livestock feed on a large ranch [72], routing helicopters to offshore
work platforms for crew exchanges [84], collecting waste [3], and routing ships when
cargo sizes are flexible [15].
33
3.3 Properties of the SDVRP-MDA
In this section, we present two observations about the SDVRP-MDA. The first
concerns k-split cycles. A k-split cycle is a set of k customers i1,i2,...,ik visited by
k routes r1,r2,...,rk, such that the demand at customer ij is split between routes rj
and rj+1, for j = 1,...,k?1, and the demand at customer ik is split between routes
rk and r1. Dror and Trudeau [34] proved that, when distances satisfy the triangle
inequality, any SDVRP has an optimal solution without a k-split cycle (for any k).
For the SDVRP-MDA, this result does not hold, as we show below.
Observation 1. For p, 0 < p ? .5, there exists an SDVRP-MDA with a mini-
mum delivery fraction p, for which all optimal solutions have a k-split cycle (k = 2).
In Figure 3.2, we show an SDVRP-MDA that satisfies this observation. In this
example, there are three customers all located 1 unit from each other and 10 units
from the depot. The vehicle capacity is 1. The demand of customer 1 is D1 = 1?a,
the demand of customer 2 is D2 = 1 ?p + pa + a/2, and the demand of customer
3 is D3 = p ? pa + a/2, where a is a positive number less than one, such that
a < p2/(p2 ? p/2 + 1), and D1 > D2 > D3 > 0 (more about this definition later).
Since 0 < p2/(p2 ?p/2 + 1) < 1, and by how D1,D2 and D3 are defined, such an a
always exists.
To show that the example in Figure 3.2 does not have an optimal solution
without a 2-split cycle, we have D1 + D2 + D3 = 2, so an optimal solution must
have at least two routes. Next, consider the solution with two identical routes,
both visiting each customer. Both vehicles satisfy half of a customer?s demand in
34
2
3
Depot
1
101010
1
1
1
(1 ? a)
(1 ? p + pa + a / 2)
(p ? pa + a / 2)
Figure 3.2: In this example, all optimal solutions have a 2-split cycle (customer
demands are given in parentheses).
a visit. The solution is feasible (since p ? .5 and Q = 1) and has a total distance
of 44. Since this is less than the best solution with three routes ? direct trips to
each customer for a distance of 60 ? an optimal solution must have two routes.
Since D1 + D2 + D3 = 2, and D3 < D2 < D1 < 1, no pair of customers can be
serviced in full on the same route without violating the vehicle capacity constraint,
so an optimal solution must have at least one split delivery. Further, if an optimal
solution has more than one split delivery, then, since there are only two routes, any
two customers with split deliveries constitute a 2-split cycle.
We now show that all optimal solutions have more than one split delivery,
35
verifying our observation. To generate a contradiction, assume there is an optimal
solution in which only one customer is split, call it customer A. The routes of this
solution are: D - A - B - D and D - A - C - D, where D is the depot and B and C are
the non-split customers. Suppose customer A is customer 1 in Figure 3.2. Without
loss of generality, we let customer B be customer 2. The minimum load of the route
visiting customers A and B is pD1 +D2 = p(1?a)+1?p+pa+a/2 = 1+a/2 > 1,
which violates the vehicle capacity. Thus, customer A is not customer 1. Next,
assume customer A is customer 3. Without loss of generality, let customer B be
customer 1. By definition, a < p2/(p2 ?p/2+1), so ?a(p2 ?p/2+1)+p2 > 0. The
minimum load of the route visiting customers A and B is pD3 + D1 = p(p ? pa +
a/2) + 1?a = ?a(p2 ?p/2 + 1) + p2 + 1 > 1, which violates the vehicle capacity.
Thus, customer A is not customer 3. Similarly, since pD2 + D1 > pD3 + D1 > 1,
customer A is not customer 2. Hence, there is no optimal solution in which only
one customer has a split delivery, so all optimal solutions have a 2-split cycle, and
our observation is verified.
As a specific example, consider the SDVRP-MDA in Figure 3.2 with p = .5
and a = .2, so that D1 = .8,D2 = .7, and D3 = .5. A solution with two routes
and exactly one split delivery violates either the vehicle capacity constraint or the
minimum delivery amount constraints.
Another well-known result for the traditional SDVRP is that, by allowing
split deliveries, distance can be reduced by at most 50%. That is, if ZVRP is the
optimal VRP distance of an instance with no splits, and ZSDVRP is the optimal
SDVRP distance of the same instance, then ZVRPZ
SDVRP
? 2. Archetti, Savelsbergh,
36
and Speranza [5] have shown that this bound is tight. However, for the SDVRP-
MDA this bound might not hold. If ZMDA is the optimal SDVRP-MDA distance,
and M is a tight upper bound for ZVRPZ
MDA
, an exact value for M is not known at this
time. We make the following observation.
Observation 2. Let p = 2/j, for some integer j ? 4. For an SDVRP-MDA
with a minimum delivery fraction p, we have 2?p ? M ? 2.
To verify this observation, since ZMDA ? ZSDVRP and ZVRPZ
SDVRP
? 2, we have
M ? 2. To show that M ? 2 ? p, we use the example given in Figure 3.3 from
Archetti, Savelsberg, and Speranza [5]. This example has 2k customers, where
k = 2/p?1. The depot is located at the center of two concentric circles with radius
1 and radius 1 + a, where a is a positive number. There are k customers on the
smaller circle, spread out at a distance of a units apart from one another, and k
customers on the larger circle, perfectly aligned with the other customers. Every
customer has demand Q/2+1, where Q = 2k is the vehicle capacity. In Figure 3.3,
we have k = 3 and p = .5.
The optimal VRP solution has direct trips to the customers for a total distance
of 4k + 2ka. Consider the SDVRP-MDA solution with k routes, each visiting two
customers along a radius, delivering all Q/2 + 1 units to the furthest customer
and Q/2 ? 1 units to the closest customer, and a route delivering the remaining 2
units to all customers along the smaller circle. This solution has a total distance of
2k + 2ka + (k ?1)a + 2. This solution is feasible. Since p(Q/2 + 1) = 2 we deliver
at least the minimum amount to each customer, and since Q = 2k the single route
visiting the customers on the smaller circle does not exceed a vehicle?s capacity. In
37
Depot
a
1
1
1
a
a
aa
(Q / 2 + 1)
(Q / 2 + 1)
(Q / 2 + 1)
(Q / 2 + 1)
(Q / 2 + 1)
(Q / 2 + 1)
aa
Figure 3.3: In this example, the distance of the VRP solution tends to 2?p times
the distance of the SDVRP-MDA solution as a tends to 0 (customer demands are
given in parentheses).
this example, ZVRPZ
MDA
= (4k + 2ka)/(2k + 2ka + (k ?1)a + 2). Since this expression
goes to 4k/(2k +2) as a goes to 0, we have that M is at least 4k/(2k +2) = 2?p,
and our observation is verified.
We note that, if 2/p is not an integer, we can use this example to obtain a
similar result by setting k = ?2/p?1?. We also point out that, when p = 0 we have
ZMDA = ZSDVRP and when p = 1 we have ZMDA = ZVRP, which gives M = 2?p.
We wish to further explore the relationship between p and M in future work.
38
3.4 Solving the SDVRP-MDA
3.4.1 Formulating the SDVRP-MDA as a Mixed Integer Program
Let S be an initial solution with no split deliveries. Since two routes must
be close together to efficiently split the service of a customer, we look for splits
near the depot where all routes meet. We consider splitting only the endpoints of
S (the endpoints are those customers adjacent to the depot). Let EP be the set
of endpoints. Given an endpoint i ? EP, let NE(i) be its neighborhood, that is,
the set of endpoints closest to i. We consider moving some of the serviced demand
of i to a new location immediately prior to a customer in NE(i). Specifically, for
each i ? EP given j in NE(i), there are three possibilities: (1) all of the demand
of i is moved prior to j, (2) some of the demand of i is moved prior to j (we split
i?s delivery), and (3) none of the demand of i is moved prior to j. Let cuv be the
travel cost between customers u and v, and p(u) and s(u) be the predecessor and
successor of u, respectively. The savings associated with the three possible moves
are: (1) ?cp(j)i ?cij ?cp(i)s(i) +cp(j)j +cp(i)i +cis(i), (2) ?cp(j)i ?cij +cp(j)j, and (3)
zero. In Figure 3.4, we show the possible endpoint moves. In Figure 3.4(a), we have
five customers (nodes 1, 2, 3, 4, and 5), a depot (node 0), and two routes. In Figure
3.4(b), all of customer 3?s demand on route 1 is moved prior to node 4 on route 2,
resulting in a savings of ?c03 ?c34 ?c20 +c04 +c23 +c30. In Figure 3.4(c), some of
customer 3?s demand on route 1 is moved prior to node 4 on route 2, resulting in a
savings of ?c03 ?c34 +c04.
In order to find the optimal reallocation of demand across all endpoints, we for-
39
1
0
2
3
4
5 1
0 0
1
2 2
3 3
4 4
55
route 1
route 1 route 1
route 2 route 2 route 2
Initial Routes Move all of customer 3?s
demand demand
Move some of customer 3?s
(a) (b) (c)
Figure 3.4: Endpoint moves.
mulate an endpoint mixed integer program with minimum delivery amounts (EMIP-
MDA). Our formulation is based on the EMIP developed by Chen, Golden, and
Wasil [20].
In the EMIP-MDA, let R be the set of routes of solution S. Qr is the resid-
ual capacity of route r ? R (that is, the vehicle capacity minus the total amount
delivered on r), Di is the demand of endpoint i, and ?i is the minimum amount of
demand that must be serviced at endpoint i at a visit. In our experiments, we let
?i = ?pDi?, where p is the minimum delivery fraction. Our formulation holds for
any ?i ? Di.
The decision variables are defined as follows. Let bi equal 1 if all of endpoint
i?s demand is moved (that is, i is removed from its current route), and 0 otherwise;
ai equals 1 if any of endpoint i?s demand is moved, and 0 otherwise; mij equals 1 if
endpoint i is inserted before j ? NE(i), and 0 otherwise; and dij is the amount of
40
endpoint i?s demand that is moved before j ? NE(i).
Our formulation of the EMIP-MDA is given by (1) to (14).
maximize summationdisplay
i?EP
bi(cp(i)i +cis(i) ?cp(i)s(i))? summationdisplay
i?EP
summationdisplay
j?NE(i)
mij(cp(j)i +cij ?cp(j)j) (1)
subject to
summationdisplay
i:j?NE(i)
dij + summationdisplay
q:k?NE(q)
dqk ? summationdisplay
l?NE(k)
dkl ? summationdisplay
t?NE(j)
djt ? Qr
?r ? R;k,j endpoints of route r (2)
summationdisplay
j?NE(i)
dij ? Di ?i ? EP (3)
summationdisplay
j?NE(i)
dij ? Dibi ?i ? EP (4)
Dimij ? dij ?i ? EP, ?j ? NE(i) (5)
1?bi ? summationdisplay
j:i?NE(j)
mji ?i ? EP (6)
1?bp(i) ? summationdisplay
j:i?NE(j)
mji ?i ? EP such that p(i) ? EP (7)
bi +bp(i) ? 1 ?r ? R; i,p(i) both endpoints of route r (8)
ai ? summationdisplay
j?NE(i)
mij ?i ? EP (9)
summationdisplay
j?NE(i)
dij ? Diai ?i ? EP (10)
?i(ai ?bi) ? Di ? summationdisplay
j?NE(i)
dij ?i ? EP (11)
dij ? ?imij ?i ? EP, ?j ? NE(i) (12)
dij ? 0 ?i ? EP, ?j ? NE(i) (13)
mij,bi,ai ? {0,1} ?i ? EP, ?j ? NE(i) (14)
In the objective function (1), we maximize the total savings across all possible
endpoint moves. Constraints (2) ensure that feasibility is maintained with respect
to vehicle capacity, that is, the total amount of demand moved to a route minus the
total amount moved from a route is less than the residual capacity. In constraints
(3), we cannot move more than the actual demand at a customer. In constraints (4),
41
we ensure that all demand is moved from customer i if bi = 1, while in constraints
(5), we ensure that mij = 1 if any demand is moved from customer i prior to
customer j. Constraints (6) and (7) prevent any demand from being moved prior
to customer i if customer i or customer p(i) has been removed from its route. In
constraints (8), we eliminate the possibility of removing both endpoints from a route
if a route has no customers other than these endpoints, as removing a customer and
its predecessor can produce inaccurate savings in the objective function. Constraints
(9) and (10) guarantee that ai = 1 if and only if some of customer i?s demand is
moved. In constraints (11), we ensure that if some, but not all of i?s demand is
moved, then the amount remaining will be at least the minimum delivery amount.
Minimum delivery amounts are enforced in constraints (12). Constraints (13) and
(14) ensure nonnegativity and 0-1 solutions. We show an EMIP-MDA formulation
for a small problem in Section 3.7 (Appendix I).
3.4.2 Combining EMIP-MDA with Record-to-record Travel
Our heuristic for solving the SDVRP-MDA starts with a VRP solution (no
splits) generated by applying a modified Clarke-Wright savings algorithm [95]. The
savings from merging two routes at customers u and v is given by cus(u)+cp(v)v??cuv.
We run the modified Clarke-Wright algorithm with three different ? values (? =
0.6,1.4,1.6) and select the lowest-cost solution as our initial solution.
Using this initial solution, an EMIP-MDA is formulated and solved. The
neighborhood size depends on the number of customers (e.g., when the number of
42
customers is between 24 and 120 the neighborhood size is 10). We point out that
a small EMIP-MDA model can be time-consuming to solve (a 50 node instance
can have as many as 550 integer variables, 500 continuous variables, and 1900 con-
straints) . Therefore, we set a run-time limit that takes into account the size of the
problem. We solve the EMIP-MDA model and denote the solution by S1.
Using S1, a second EMIP-MDA is formulated and solved. The neighborhood
size is increased, and the run-time limit is decreased. In the EMIP-MDA formula-
tion, we consider each visit to each customer on a route in S1 as a distinct customer
whose demand is the amount serviced at that visit. For example, if customer j with
demand Dj is split in S1 between routes r and q with amount djr on route r and
amount djq on route q, where djr + djq = Dj, then we proceed as if there are two
customers at the same location as j, one with demand djr on route r and one with
demand djq on route q. To ensure feasibility, we set the minimum delivery amount
of both customers to ?pDj?, where p is the minimum delivery fraction. We denote
the solution of the second EMIP-MDA by S2.
Finally, we apply a post processor. Using S2, we create a VRP instance,
denoted by I, by considering each visit to each customer on a route in S2 as a
distinct customer in I whose demand is the amount serviced at that visit. We
apply an enhanced record-to-record travel algorithm (ERTR) to I. ERTR is a VRP
heuristic developed by Gro?er, Golden, and Wasil [50]. It is an enhanced version
of the variable length record-to-record travel algorithm (VRTR) developed by Li,
Golden, and Wasil [63]. VRTR improves a solution by performing one-point and
two-point node exchanges, as well as two-opt edge exchanges. ERTR considers
43
Table 3.1: Enhanced record-to-record travel algorithm.
?1 = .6,?2 = 1.4,?3 = 1.6,deviation = 1%,count = 0,C = 10,K = 70
For x = 0 to 3
If (x = 0), S = S2
Else S = modified Clarke-Wright solution on I with parameter ?x
Initialize the record for this iteration, S? = S
Uphill:
For k = 1 to K
Apply each of one-point moves, two-point moves, and three-point moves
Apply both two-opt edge exchanges and OR-opt edge exchanges
Update S if result is within deviation of cost of S?
Update S? if necessary
End-For
Downhill:
Apply both two-opt edge exchanges and OR-opt edge exchanges
Apply each of one-point moves, two-point moves, and three-point moves
If (cost decreases), update S and go to Downhill
Else Update S? if necessary, otherwise count = count+ 1
If (count < C) go to Uphill
Perturb solutions once and go to Uphill
End-For
Return the best S? from the four iterations
additional moves including three-point node exchanges and OR-opt edge exchanges.
Uphill moves are allowed when a solution is within a pre-specified tolerance of the
record (best) solution. We apply ERTR to four different solutions: S2 and the
results from the modified Clarke-Wright algorithm on I with three values of ?. The
details of ERTR are given in Table 3.1. The complete description of the EMIP-MDA
+ ERTR is given in Table 3.2.
44
Table 3.2: EMIP-MDA + ERTR algorithm for solving the SDVRP-MDA.
S = best of three modified Clarke-Wright solutions, ? = .6,1.4,1.6
If (the number of customers n is less than 24)
Set max neighborhood size L to be n?1
Set MIP time limit T to be 800 seconds
Else-if (n < 120), L = 10, T = 400
Else L = 8,T = 1000
S1 = EMIP-MDA solution on S with parameters L and T
S2 = EMIP-MDA solution on S1 with parameters ?32L? and .6?T
S? = solution after the ERTR is applied
Return S?
3.5 Computational Experiments
3.5.1 Establishing the Quality of EMIP-MDA + ERTR on Standard
VRPs
We want to establish the accuracy and speed of EMIP-MDA + ERTR with
respect to solving standard VRPs. We applied it to six benchmark problems (1, 2,
4, 5, 11, 12) from Christofides and Eilon [23] and Christofides, Mingozzi, and Toth
[24]. These problems have 50 to 199 customers with no minimum delivery amounts.
We solved the mixed integer program with ILOG CPLEX 10.0 and Visual C++
(version 6.0) using a 3.0 GHz Pentium 4 processor and 512MB of RAM.
In Table 3.3, we give the solution values and running times generated by EMIP-
MDA + ERTR, EMIP + VRTR (Chen, Golden, and Wasil [20]), SPLITABU-DT
(an average of five runs as provided by Archetti and reported in [20]), and the best-
known solutions. We see that EMIP-MDA + ERTR and EMIP + VRTR generated
very similar, high-quality results. On average, EMIP-MDA + ERTR is 0.71% above
the best-known solution, while EMIP + VRTR is 0.54% above the best-known
45
Table 3.3: Computational results for three algorithms on six capacitated VRPs.
EMIP-MDA + ERTR1 EMIP + VRTR2 SPLIT-TABU3 Best-known
Customers Solution Time (s) Solution Time (s) Solution Time (s) Solution
50 524.61 18.2 524.61 1.8 533.55 13.2 524.61a
75 839.77 32.2 840.18 4.0 849.54 35.8 835.26a
100 819.56 74.7 819.56 3.7 835.62 57.6 819.56a
120 1042.24 90.7 1043.18 5.6 1056.01 38.4 1042.11a
150 1047.40 91.5 1041.99 10.0 1069.84 389.0 1028.42a
199 1315.70 106.3 1307.40 18.1 1342.85 386.4 1291.29b
Average 0.71% 0.54% 2.45%
Deviation4
1 3.0 GHz Pentium 4 processor
2 1.7 GHz Pentium 4 processor
3 2.4 GHz Pentium 4 processor
4 Average deviation from the best-known solution
a Rochat and Taillard [79]; b Mester and Br?aysy [68]
solution. EMIP-MDA + ERTR (total of 413.6 seconds) was slower than EMIP +
VRTR (43.2 seconds) in solving these six problems, even though EMIP-MDA +
ERTR was run on a faster machine. This is due to the time-consuming OR-opt
edge exchanges and three-point node exchanges in our algorithm.
3.5.2 Establishing the quality of EMIP-MDA + ERTR on Standard
SDVRPs
First, we applied EMIP-MDA + ERTR to the 11 benchmark SDVRPs from Be-
lenguer, Martinez, and Mota [10] that are available at www.uv.es/belengue/sdvrp.html.
These problems have 51, 76, and 101 nodes including the depot. The demand at
each customer is a randomly selected integer from the uniform distribution on the
interval [aQ,bQ], where Q is the vehicle capacity and the demand range is [a,b]. For
46
example, the problem denoted by S51D2 (in Table 3.4) has 51 nodes including the
depot and customer demands are randomly generated along the lines of scenario 2
from Dror and Trudeau [33] which has demand range [0.1,0.3].
In Table 3.4(a), we give the solution values and running times generated by
EMIP-MDA + ERTR, EMIP + VRTR, CGA (column generation algorithm of Jin,
Liu, and Eksioglu [58]), and CP (cutting-plane algorithm of Belenguer, Martinez,
and Mota [10]). In Table 3.4(b), we give the best lower bound for each problem
from [10] and [58] and the percent deviation of each solution from the lower bound.
On average, EMIP-MDA + ERTR is 4.01% above the lower bound (on all 11 prob-
lems), closely followed by EMIP + VRTR at 4.60% (on five problems). On average,
CGA and CP are more than 8% and 7%, respectively, above the lower bound. On
average, over all 11 problems, EMIP-MDA + ERTR takes 487.9 seconds to solve a
problem, and CGA takes 7296.0 seconds. EMIP + VRTR takes 390.6 seconds over
five problems.
Second, we applied EMIP-MDA + ERTR to 21 benchmark problems developed
by Chen, Golden, and Wasil [20]. These problems have 8 to 288 customers and are
available at www.rhsmith.umd.edu/faculty/bgolden/vrp data.htm. A near-optimal
solution can be visually estimated for each problem.
In Table 3.5, we give the solution values and running times generated by EMIP-
MDA + ERTR and EMIP + VRTR and the values of the estimated solutions. The
estimated solution and the solution produced by EMIP-MDA + ERTR are the
same on eight problems; they are the same on four problems for EMIP + VRTR.
EMIP-MDA + ERTR finds three new best solutions. On average, EMIP-MDA
47
Table 3.4: Computational results for four algorithms on 11 benchmark SDVRPs.
(a) Solution values and running times
EMIP-MDA + ERTR1 EMIP+VRTR2 CGA3 CP4
Problem Solution Time (s) Solution Time (s) Solution Time (s) Solution
S51D2 717.34 60.8 NC 723.37 5987 726
S51D3 969.18 56.6 NC 968.85 607 972
S51D4 1580.79 662.6 1586.5 201.7 1657.61 260 1677
S51D5 1356.37 660.0 1355.5 201.6 1439.92 46 1440
S51D6 2186.29 677.8 2197.8 301.9 2300.21 243 2327
S76D2 1105.19 31.4 NC 1185.72 12806 1147
S76D3 1442.61 164.7 NC 1504.94 2030 1474
S76D4 2104.87 980.0 2136.4 601.9 2219.07 1813 2257
S101D2 1397.38 402.0 NC 1474.51 47658 1393
S101D3 1921.67 961.1 NC 2012.86 7959 1975
S101D5 2852.01 709.8 2846.2 646.0 2954.96 847 2915
1 3.0 GHz Pentium 4 processor
2 1.7 GHz Pentium 4 processor
3 2.8 GHz Pentium 4 processor
4 No times reported
NC Not considered
Bold indicates the best solution
(b) Lower bounds and percent deviations
Percent Deviation2
Lower EMIP-MDA + EMIP +
Problem Bound1 ERTR VRTR CGA CP
S51D2 694.98 3.22 4.08 4.46
S51D3 922.72 5.04 5.00 5.34
S51D4 1520.67 3.95 4.33 9.01 10.28
S51D5 1297.46 4.54 4.47 10.98 10.99
S51D6 2113.03 3.47 4.01 8.86 10.13
S76D2 1066.17 3.66 11.21 7.58
S76D3 1397.43 3.23 7.69 5.48
S76D4 2019.91 4.21 5.77 9.86 11.74
S101D2 1349.77 3.53 9.24 3.20
S101D3 1837.33 4.59 9.55 7.49
S101D5 2725.50 4.64 4.43 8.42 6.95
Average 4.01% 4.60% 8.53% 7.60%
Deviation
1 Best lower bound from [10] and [58]
2 Deviation = 100[(Solution ? Lower bound)/Lower bound]%
48
+ ERTR and EMIP + VRTR are 0.25% and 1.38%, respectively, above the best
solution for each problem. We point out that the run times of both algorithms
are highly dependent on the number of customers. Both algorithms solve an MIP
that terminates if an optimal solution is not returned within a pre-specified time
limit. Solving the MIP accounts for most of the run time, and the time limit is
based on the size of the problem. For example, for problems with more than 120
customers, the time limit for EMIP-MDA is 1600 seconds (1000 seconds to solve the
MIP associated with the initial solution and 600 seconds to solve the second MIP),
and it is 5000 seconds for EMIP.
3.5.3 Establishing the quality of EMIP-MDA + ERTR on SDVRP-
MDAs
The SDVRP-MDA is new in the literature and there are no problems avail-
able for testing solution procedures. We needed to create problems that have very
good estimated solutions. To illustrate our procedure for generating test problems,
consider the layout given in Figure 3.5. We show an example with four customers
(nodes 1, 2, 3, and 4), one depot (node 0), a vehicle capacity of 100 units, and
two values of p (.1 and .2). In Figures 3.5(a), (b), and (c), the demand is 56 units
at customers 1 and 2 and 94 units at customers 3 and 4, p = .1 (a vehicle must
deliver at least 10% of a customer?s demand on a visit), and there are three routes ?
0-1-3-0, 0-1-2-0, and 0-2-4-0. The demand at customer 1 is split with 6 units and 50
units delivered on two different routes. The delivery of 6 units meets the minimum
49
Table 3.5: Computational results for two algorithms on 21 benchmark SDVRPs.
Estimated EMIP-MDA + ERTR2 EMIP+VRTR3
Problem Solution1 Solution Time (s) Solution Time (s)
SD1 228.28 228.28 3.1 228.28 0.7
SD2 708.28 708.28 424.1 714.40 54.4
SD3 430.61 430.58 20.8 430.61 67.3
SD4 631.06 631.05 454.7 631.06 400.0
SD5 1390.61 1390.57 655.5 1408.12 402.7
SD6 831.21 831.24 656.0 831.21 408.3
SD7 3640.00 3640.00 669.9 3714.40 403.2
SD8 5068.28 5092.36 678.3 5200.00 404.1
SD9 2044.23 2044.20 662.3 2059.84 404.3
SD10 2684.85 2704.69 700.9 2749.11 400.0
SD11 13280.00 13358.31 709.0 13612.12 400.1
SD12 7280.00 7256.77 729.0 7399.06 408.3
SD13 10110.60 10141.79 729.2 10367.06 404.5
SD14 10920.00 10780.03 1718.1 11023.00 5021.7
SD15 15151.10 15216.29 1664.6 15271.77 5042.3
SD16 3381.32 3382.16 1654.8 3449.05 5014.7
SD17 26560.00 26640.69 1785.3 26665.76 5023.6
SD18 14380.30 14357.77 1723.0 14546.58 5028.6
SD19 20191.20 20348.16 1787.6 20559.21 5034.2
SD20 39840.00 39902.76 1839.8 40408.22 5053.0
SD21 11271.10 11436.70 1825.1 11491.67 5051.0
Average 0.25% 1.38%
Deviation4
1 Solution value from [20]
2 3.0 GHz Pentium 4 processor
3 1.7 GHz Pentium 4 processor
4 Average deviation from the best solution
Bold indicates the best solution
Note. For SD3, SD4, SD5, SD6, and SD9, the solutions for EMIP-MDA + ERTR
and EMIP + VRTR are the same with the differences due to rounding.
delivery of 0.10 ? 56 = 5.6 units. Of course, this particular split at customer 1
would be infeasible for larger values of p. For example, if p = .2, then a vehicle must
deliver at least .20?56 = 11.2 units to customer 1. If the vehicle covering the route
0-1-3-0 in the estimated solution delivered 12 units to customer 1, then not all 94
units of customer 3 would fit in the vehicle (capacity is 100 units). The 94 units
of customer 3 would need to be split among vehicles subject to p = .2 or delivered
50
entirely by one vehicle. In either case, we no longer have the routes given by the
estimated solution.
In order to preserve the three routes given in the estimated solution for p = .1,
we proceed in the following way. Consider the case when p = .2. We change the
demand to 63 units at customers 1 and 2 and 87 units at customers 3 and 4. We show
the routes in Figures 3.5(d), (e), and (f). These are the same routes as in Figures
3.5(a), (b), and (c), except that the demand at customer 1 is now split with 13 units
and 50 units delivered on two different routes. By changing the demands in this way,
we can use the same routes given by the estimated solution for different values of
p. In Section 3.8 (Appendix II), we provide our generator and specifications for 21
new test problems with minimum delivery amounts that are based on the problems
from Chen, Golden, and Wasil [20].
We apply EMIP-MDA + ERTR to the 21 test problems. In Table 3.6, we give
the solutions using four values of p (.1, .2, .3 and .4), the estimated solutions, and
the run times for p = .1 (the run times for the other values of p are similar).
Over all four values of p and all 21 problems, EMIP-MDA + ERTR produces
high-quality solutions that are, at most, 1.71% above the best solutions on average.
Our algorithm performs very well on the first eight problems (MDA1 to MDA8)
where it generates solutions that are the same or nearly the same as the estimated
solutions and slightly better for one problem (MDA6 with p = .4). For each problem,
the run time of EMIP-MDA + ERTR varied little across the four values of p. We
point out that a time limit was set for solving each MIP (see Table 3.2) and, for
many problems, the maximum allotted time was used to find a solution to each MIP.
51
0 0
(b)
0
(c)(a)
1 2 2
3 4 4 43
1 2
Route 1 Route 3
1
3
Route 2
(94)
(6)(50)(50)
(94)
(6)
=  .1p
0 0 0
1 2 2
3 4 4 43
1 2
Route 1 Route 3
1
3
Route 2
(50)(50)
p =  .2
(87)
(13)
(87)
(13)
(d) (e) (f)
Figure 3.5: Routes from a visually estimated solution for two values of p. Delivery
amounts are given in parentheses.
52
Table 3.6: Computational results on 21 problems with four minimum delivery frac-
tions.
EMIP-MDA + ERTR Estimated
Problem N p = .1 p = .2 p = .3 p = .4 Solution Time1 (s)
MDA1 8 228.28 228.28 228.28 228.28 228.28 1.06
MDA2 16 720.00 720.00 720.00 720.00 720.00 291.81
MDA3 16 430.58 430.58 430.58 430.58 430.58 5.52
MDA4 24 631.05 631.05 631.05 631.05 631.05 227.62
MDA5 32 1402.43 1402.40 1402.40 1414.75 1402.40 644.03
MDA6 32 831.24 831.24 831.24 830.26 831.24 644.95
MDA7 40 3588.28 3588.28 3588.28 3588.28 3588.28 645.52
MDA8 48 5060.00 5060.00 5040.00 5040.00 5040.00 646.91
MDA9 48 2074.12 2063.50 2063.50 2059.03 2044.20 645.16
MDA10 64 2691.69 2704.89 2710.64 2708.80 2684.88 648.84
MDA11 80 13220.00 13280.00 13334.14 13240.00 13200.00 662.44
MDA12 80 7182.93 7182.93 7170.58 7260.01 7150.58 659.81
MDA13 96 10111.79 10130.57 10112.44 10233.50 10042.40 667.02
MDA14 120 10845.91 10733.07 10836.25 10865.15 10711.07 1644.98
MDA15 144 15180.73 15116.39 15172.11 15202.85 15004.22 1640.47
MDA16 144 3755.70 3865.24 3962.67 3445.50 3631.30 1625.83
MDA17 160 26628.38 26519.45 26646.46 26904.73 26362.36 1654.72
MDA18 160 14477.78 14559.20 14420.21 14447.59 14200.92 1639.72
MDA19 192 20432.18 20300.41 20355.71 20608.91 19964.86 1649.31
MDA20 240 40202.48 40102.34 40018.33 40551.37 39484.21 1691.84
MDA21 288 12014.61 12438.63 12652.93 11909.12 11645.47 1656.14
Average 1.20% 1.45% 1.71% 1.00%
Deviation2
1 Time for p = .1
2 Average deviation from the best solution
Bold indicates the best solution
N is the number of customers
In Figure 3.6, we show the visually estimated solution and the solutions pro-
duced by EMIP-MDA + ERTR for two values of p to problem MDA10. The visually
estimated solution has 48 routes. There are 32 customers with a delivery split be-
tween two vehicles, and 32 customers with a delivery made by a single vehicle.
When p = .1, the EMIP-MDA + ERTR solution also has 48 routes, but there is one
customer with a delivery split between three vehicles, 30 customers with a delivery
split between two vehicles, and 33 customers with a delivery made by a single vehi-
53
cle. When p = .4, the EMIP-MDA + ERTR solution has 50 routes. There are 26
customers with a delivery split between two vehicles, and 38 customers with a deliv-
ery made by a single vehicle. The detailed structure of the routes in the estimated
solution is similar to that of the routes in Figure 3.5.
In our final computational experiment, we applied EMIP-MDA + ERTR to
the 11 problems from [10] with five different values of p. We held demand fixed at
each customer for the different p values. This allows us to evaluate the effect of
p on solution quality. The results are given in Table 3.7. When p = 0, splits are
allowed with no minimum delivery amounts. As the value of p increases across a
row (problem), we see that the solution value also increases. The overall average
deviations from the p = 0 solutions increase from 0.60% to 2.10% as the value of p
increases from .1 to .4. This behavior makes sense as a solution for a small value of
p may not be feasible for a larger value of p.
We observe that when the demand at a customer is small, say 10% to 50% of
vehicle capacity, there are very few delivery splits that improve the solution quality
because our algorithm can find good routes that fill vehicles to near full capacity
without splits (the same observation has been made in [7]). This behavior occurs
in problems S51D2, S76D2, and S101D2. In Table 3.7, the solutions for these three
problems are nearly the same for all five values of p. In contrast, when the demand
at a customer is large, say 70% to 90% of vehicle capacity, many of the routes have
only one or two customers and it becomes difficult to find split deliveries that are
feasible as p increases in value. This behavior occurs in problem S51D6. In Table
3.7, the solution value for this problem deteriorates rapidly as p increases from .1
54
?40 ?30 ?20 ?10 0 10 20 30 40?40
?30
?20
?10
0
10
20
30
40
(a) Problem MDA10 with 64 customers
?40 ?30 ?20 ?10 0 10 20 30 40?40
?30
?20
?10
0
10
20
30
40
(b) Visually estimated solution.  Total distance of 2684.88 with 48 vehicles.
Figure 3.6: Problem MDA10 with visually estimated solution and EMIP-MDA +
ERTR solutions.
55
?40 ?30 ?20 ?10 0 10 20 30 40?40
?30
?20
?10
0
10
20
30
40
= .1.  Total distance is 2691.69 with 48 vehicles.pMDA + ERTR solution with?(c) EMIP  
?40 ?30 ?20 ?10 0 10 20 30 40?40
?30
?20
?10
0
10
20
30
40
(d) EMIP ? MDA + ERTR solution with p = .4.  Total distance is 2708.80 with 50 vehicles.
Figure 3.6 (continued)
56
Table 3.7: Computational results on 11 problems with four minimum delivery frac-
tions.
Name N p = 0 p = .1 p = .2 p = .3 p = .4
S51D2 51 717.34 717.34 717.34 717.34 717.34
S51D3 51 969.18 969.99 969.99 969.99 978.41
S51D4 51 1580.79 1588.91 1593.69 1597.89 1612.30
S51D5 51 1356.37 1373.98 1377.99 1383.71 1389.32
S51D6 51 2186.29 2225.51 2285.37 2301.51 2402.35
S76D2 76 1105.19 1106.86 1116.64 1116.64 1116.64
S76D3 76 1442.61 1457.40 1446.48 1453.25 1453.17
S76D4 76 2104.87 2123.16 2118.86 2151.49 2167.27
S101D2 101 1397.38 1398.13 1398.87 1401.85 1398.88
S101D3 101 1921.67 1930.86 1929.96 1939.96 1942.94
S101D5 101 2852.01 2862.34 2862.14 2901.76 2904.61
Average 0.60% 0.90% 1.41% 2.10%
Deviation1
1 Average deviation from the p = 0 solution
to .4 (the solution value at p = .4 is nearly 8% worse than the solution value at
p = .1). For example, in S51D6, one customer with a demand of 122 units is split
on three routes, with deliveries of 20 units, 24 units, and 78 units, when p = .1
(vehicle capacity is 150). However, when p = .2,.3,.4 this customer is no longer
split because the deliveries of 20 units and 24 units violate the minimum delivery
constraint (20/122 = .164 and 24/122 = .197).
In Appendix A, we give all problems used in computational testing, all solu-
tions generated by EMIP-MDA+ERTR, and all new visually estimated solutions.
57
3.6 Conclusions
In this chapter, we contributed a new problem to the VRP literature ? the split
delivery vehicle routing problem with minimum delivery amounts. As discussed,
this problem is motivated by real-world considerations. We presented theoretical
properties of the SDVRP-MDA and demonstrated that some well-known results
of the traditional SDVRP do not hold if minimum delivery amounts are imposed.
We developed a solution procedure for solving the SDVRP-MDA that combined an
endpoint mixed integer program with an enhanced record-to-record travel algorithm.
We applied EMIP-MDA + ERTR to six standard VRPs and 32 SDVRPs from the
literature and found that it produced high-quality solutions (some of these were new
best-known solutions).
We generated a set of 21 new test problems with minimum delivery amounts
that can be used as benchmarks in future studies. These problems have near-optimal
solutions that can be visually estimated. EMIP-MDA + ERTR produced very good
solutions to the new test problems with different minimum delivery fractions.
Overall, our solution procedure was very effective in solving a wide range of
problems. It was competitive with the best heuristics in the literature for solving
VRPs and SDVRPs, and it performed very well on our SDVRP-MDAs.
3.7 Appendix I
We present the EMIP-MDA formulation of the example given in Figure 3.1
with p = .3. The initial solution makes direct trips to each customer.
58
maximize 2b1c01 + 2b2c02 + 2b3c03 ?m12(c01 +c12 ?c02)?m13(c01 +c13 ?c03)
?m21(c02+c21?c01)?m23(c02+c23?c03)?m31(c03+c31?c01)?m32(c03+c32?c02)
subject to
d21 +d31 ?d12 ?d13 ? Q1
d12 +d32 ?d21 ?d23 ? Q2
d13 +d23 ?d31 ?d32 ? Q3
d12 +d13 ? D1
d21 +d23 ? D2
d31 +d32 ? D3
d12 +d13 ? D1b1
d21 +d23 ? D2b2
d31 +d32 ? D3b3
D1m12 ? d12
D1m13 ? d13
D2m21 ? d21
D2m23 ? d23
D3m31 ? d31
D3m32 ? d32
1?b1 ? m21 +m31
1?b2 ? m12 +m32
1?b3 ? m23 +m13
a1 ? m12 +m13
a2 ? m21 +m23
a3 ? m31 +m32
d12 +d13 ? D1a1
d21 +d23 ? D2a2
d31 +d32 ? D3a3
?1(a1 ?b1) ? D1 ?d12 ?d13
?2(a2 ?b2) ? D2 ?d21 ?d23
?3(a3 ?b3) ? D3 ?d31 ?d32
d12 ? ?1m12
d13 ? ?1m13
d21 ? ?2m21
d23 ? ?2m23
d31 ? ?3m31
59
d32 ? ?3m32
dij ? 0 for i,j = 1,2,3
bi = 0,1 for i = 1,2,3
mij = 0,1 for i,j = 1,2,3
ai = 0,1 for i = 1,2,3
In this example, we have Q1 = 40, Q2 = 20, Q3 = 60, D1 = 80, D2 = 100, and
D3 = 60. The distances are given by c01 = c02 = c03 = 5, c10 = 5,c12 = 3,c13 = 2,
c20 = 5,c21 = 3,c23 = 5, c30 = 5,c31 = 2, and c32 = 5. The objective function is
given by
maximize 10b1 + 10b2 + 10b3?3m12 ?2m13 ?3m21 ?5m23 ?2m31 ?5m32.
Since all routes of the initial solution have only one endpoint, constraints (7)
and (8) are omitted from this example. The objective function is maximized when
b3 = 1, a3 = 1, m31 = 1, m32 = 1, d31 = 40, d32 = 20, and all other decision variables
are 0. A maximum savings of three units is produced by removing endpoint 3 from
its route, and reallocating 40 units of its demand before endpoint 1, and 20 units of
its demand before endpoint 2. This solution is given in Figure 3.1(c).
3.8 Appendix II
Generator for 21 test problems with minimum delivery amounts
(xi,yi) are the coordinates of customer i, where i = 0 is the depot.
Di is the demand of customer i.
A and B are parameters that determine the number of customers N, where
N = AB.
60
Vehicle capacity is 100 units. p is the minimum fraction of a customer?s de-
mand that must be satisfied by a vehicle.
Table 3.8: Generator for SDVRP-MDAs.
i = 0,xi = 0,yi = 0,Di = 0
For k = 1 to B
? = 10k
For ? = 1 to A
i = i+ 1
xi = ? cos[2(? ? 1)pi/A]
yi = ? sin[2(? ? 1)pi/A]
If (mod(k,2) = 1), Di = ? 501?p?
Else Di = 150 ? ? 501?p?
End-For
End-For
Table 3.9: Dimensions of SDVRP-MDAs.
Problem A B N
MDA1 4 2 8
MDA2 4 4 16
MDA3 8 2 16
MDA4 12 2 24
MDA5 8 4 32
MDA6 16 2 32
MDA7 4 10 40
MDA8 4 12 48
MDA9 12 4 48
MDA10 16 4 64
MDA11 4 20 80
MDA12 8 10 80
MDA13 8 12 96
MDA14 12 10 120
MDA15 12 12 144
MDA16 72 2 144
MDA17 8 20 160
MDA18 16 10 160
MDA19 16 12 192
MDA20 12 20 240
MDA21 72 4 288
61
Chapter 4
The Multi-depot Split Delivery Vehicle Routing Problem
4.1 Introduction
In the vehicle routing problem (VRP), a fleet of vehicles must service the
demands of customers. All vehicles begin and end their routes at the same depot.
The sum of the demands of the customers on a route cannot exceed a vehicle?s
capacity. A customer must have all of its demand delivered at one time by a single
vehicle. The objective is to minimize the total distance traveled by the fleet.
In the split delivery vehicle routing problem (SDVRP), more than one vehicle
is allowed to service a customer, so that a customer?s demand can be split among
several vehicles on different routes. The objective in the SDVRP is to minimize the
total distance traveled by the fleet, while satisfying the demand of each customer.
In the multi-depot vehicle routing problem (MDVRP), there are multiple de-
pots. A vehicle starts and ends its route at the same depot. The objective is to
minimize the total distance traveled by the fleet across all depots.
In the multi-depot split delivery vehicle routing problem (MDSDVRP), there
are multiple depots and more than one vehicle is allowed to service a customer.
Vehicles providing split service to a customer can be from the same depot, or they
can be from different depots. The objective in the MDSDVRP is to minimize the
total distance traveled by the fleet across all depots, while satisfying the demand of
62
each customer.
Let V = {v1,...,vN} be the set of customers and let W = {w1,...,wM} be the
set of depots. Let Di be the demand of customer i, and let Q be the capacity of a
vehicle. Let the distance between a pair of nodes e = (i,j) be denoted by ce (or cij).
Given route r, let V(r) be the set of nodes and E(r) the set of travel edges on r.
Let dir be the amount delivered to customer i on r. We want to find a set of routes
R such that
? route r begins and ends at wk, for some k ? {1,...,M}, for all r ? R (a route
starts and ends at the same depot),
? summationtexti?V(r) dir ? Q, for all r ? R (vehicle capacity restriction),
? summationtextr?R dir = Di, for all i ? V (demand must be satisfied for each customer),
? minimize summationtextr?Rsummationtexte?E(r) ce (total distance is minimized).
In Figure 4.1, we show an MDSDVRP. We have five customers (nodes 1
through 5) and two depots. Edge labels are distances and node labels in paren-
theses are delivery amounts. All customers have a demand of 10 units and the
vehicle capacity is 25 units. There are two routes: one starting and ending at depot
1 and one starting and ending at depot 2. The delivery at node 3 is split between
the two routes. The total distance traveled is 16 units.
The remainder of this chapter is organized as follows. In Section 4.2, we
review the literature on the MDVRP and the SDVRP. In Section 4.3, we develop an
integer programming-based heuristic for the MDSDVRP. In Section 4.4, we present
63
1
2
3
4
5
2
2
222
22
Depot 1 Depot 2
2
(10)
(10)
(10)
(10)
(5) (5)
Figure 4.1: In this MDSDVRP, there are five customers and two depots. Node
labels in parentheses are delivery amounts and edge labels are distances. The vehicle
capacity is 25. In this solution, the total distance traveled is 16 units.
computational results. In Section 4.5, we give our conclusions.
4.2 Literature Review of the MDVRP and the SDVRP
The literature for the MDVRP dates back over 35 years, and the literature for
the SDVRP dates back over 20 years. To our knowledge, we are the first researchers
to consider the MDSDVRP.
Early heuristics for the MDVRP were developed by Tillman and Cain [92],
Wren and Holliday [94], Gillett and Johnson [43], Golden, Magnanti, and Nguyen
[45], and Raft [77]. In the 1990s, Chao, Golden, and Wasil [18] developed a record-
to-record travel algorithm for the MDVRP. Renaud, Boctor, and Laporte [78] and
Cordeau, Gendreau, and Laporte [26] used tabu search. Recently, Thangiah and
64
Salhi [91] developed a genetic clustering heuristic. A procedure for solving small
MDVRPs exactly was developed by Laporte, Nobert, and Taillefer [59].
The first heuristics for the SDVRP were developed by Dror and Trudeau
[33, 34]. They used a two-stage algorithm that incorporated k-split interchanges
and route additions. Recently, Archetti, Speranza, and Hertz [6] developed a tabu
search algorithm. Chen, Golden, and Wasil [20] combined an endpoint mixed integer
program and a variable length record-to-record travel algorithm. Mota, Campos,
and Corber?an [71] used scatter-search. Gulczynski, Golden, and Wasil [52] expanded
on the work of Chen, Golden, and Wasil [20]. The papers by Archetti and Speranza
[4] and Gulczynski, Golden, and Wasil [51] are good sources for recent developments
in modeling and solving the SDVRP.
Two practical applications for both the MDVRP and the SDVRP aredelivering
groceries [28, 47] and collecting waste [2, 3].
4.3 An Integer Programming-based Heuristic for the MDSDVRP
4.3.1 Assigning Customers to Depots
We describe a heuristic for the MDSDVRP. First, we assign customers to
depots using a procedure developed by Golden, Magnanti, and Nguyen [45]. For
each customer i, we let ?i be the distance between i and the closest depot to i and
??i be the distance between i and the second closest depot to i. If ?i??
i
is less than a
tolerance ?, then customer i is immediately assigned to its closest depot. If ?i??
i
? ?,
then i is temporarily left unassigned. In this way, a customer that is much closer
65
to one depot than to other depots will be immediately assigned to its closest depot.
A customer that is nearly equidistant from several depots will be assigned using
cheapest insertion.
After the initial assignment phase, unassigned customers are assigned to depots
based on a cheapest insertion criterion. For each unassigned customer i and each
depot w, we calculate the cost of inserting i between each pair of customers already
assigned to w (we consider w as a customer assigned to itself). We then assign
i to the same depot as the pair giving the cheapest insertion. That is, we assign
customer i to the same depot as customers j and k where cij+cik?cjk is the smallest
value over all pairs of customers already assigned to a depot.
4.3.2 Solving the SDVRP on Each Depot Separately
After all customers have been assigned to depots, we solve the SDVRP on
each depot and its assigned customers separately using the EMIP-MDA + ERTR
heuristic developed by Gulczynski, Golden, and Wasil [52].
EMIP-MDA + ERTR is a two-stage heuristic that improves an initial solu-
tion to the VRP with no splits. The initial solution is generated using a modified
Clarke-Wright (CW) algorithm [95]. In the first stage, an endpoint mixed integer
program with minimum delivery amounts (EMIP-MDA) is formulated and solved.
The EMIP-MDA maximizes the savings from splitting deliveries at certain customers
and reallocating some (or all) of their demands to new routes. A time limit T is
set for the EMIP-MDA. If a solution is not returned after T seconds, EMIP-MDA
66
Table 4.1: Enhanced record-to-record travel algorithm (ERTR) for the VRP.
Sd = VRP solution with depot d,deviation = 1%,count = 0,L = 10,K = 70
Initialize the record, S?d = Sd
Uphill:
For (k = 1 to K)
Apply one-point moves, apply two-point moves, apply three-point moves
Apply two-opt edge exchanges, apply Or-opt edge exchanges
Update Sd if result is within deviation of cost of S?d
Update S?d if necessary
End-For
Downhill:
Apply Or-opt edge exchanges, apply two-opt edge exchanges
Apply one-point moves, apply two-point moves, apply three-point moves
If (cost decreases), update Sd and go to Downhill
Else Update S?d if necessary, otherwise count = count+ 1
If (count < L), go to Uphill
Perturb solutions once and go to Uphill
Return S?d
terminates, and the best solution found up to that point is returned.
In the second stage, the enhanced record-to-record travel algorithm (ERTR)
is applied to reduce the distance traveled. ERTR is a heuristic developed by Gro?er,
Golden, and Wasil [50] for the VRP that does not produce any new split deliver-
ies. It is a modified version of the variable length record-to-record travel algorithm
(VRTR) developed by Li, Golden, and Wasil [63]. VRTR improves a VRP solution
by performing one-point and two-point node exchanges, as well as two-opt edge ex-
changes. ERTR considers additional moves such as three-point node exchanges and
Or-opt edge exchanges. Uphill moves are allowed when a solution is within a preset
tolerance of the record solution. The details of ERTR are given in Table 4.1.
In Table 4.2, we give an outline of EMIP-MDA + ERTR. A complete descrip-
tion can be found in Chapter 3 or in [52].
67
Table 4.2: EMIP-MDA + ERTR algorithm for the SDVRP.
S = initial VRP solution (no splits) from modified Clarke-Wright algorithm
S1 = EMIP-MDA solution on S (make distance-reducing splits)
S? = solution after ERTR is applied to S1 (improve routes)
Return S?
4.3.3 Formulating the MDSDVRP as a Mixed Integer Program
By applying EMIP-MDA + ERTR to each depot and the customers assigned to
it, we generate an initial solution to the MDSDVRP. We denote the initial solution
by S. In S, there are no deliveries split between vehicles from different depots.
We now describe a mixed integer program (MIP) that attempts to improve S by
considering additional split deliveries, including inter-depot split deliveries.
For each customer i on each route r, we calculate the cost of inserting i im-
mediately prior to customer j on route q, where q does not begin and end at the
same depot as r. Let ? denote the minimum insertion cost of i across all j and
q. For each route, we add the two customers with the smallest values of ? to the
inter-depot candidate set denoted by ID. If a route has only one customer, it is
added to ID. The customers in ID are called id-nodes.
Let NE(i) be the neighborhood of customer i ? ID. This neighborhood is
the set of id-nodes j for which cij is the smallest. Each neighborhood contains L
customers, where L is a preset parameter. We consider moving some (or all) of the
demands serviced at id-nodes to new locations. For each i ? ID and j in NE(i),
there are three possible moves: 1) move all of the demand of i immediately prior
to j, 2) move some of the demand of i immediately prior to j (split i?s delivery),
68
Depot 2 Depot 1 Depot 1 Depot 2Depot 2
(b) (c)(a)
4
55 5 11 1
42 2
3 3 3
42
Depot 1
Move all of customer 3?sInitial routes
demand demand
Move some of customer 3?s
Figure 4.2: Three possible customer moves.
and 3) move none of the demand of i immediately prior to j. Let p(v) and s(v) be
the predecessor and successor of customer v, respectively. The savings associated
with the three possible moves are: 1)?cp(j)i ?cij ?cp(i)s(i) +cp(j)j +cp(i)i +cis(i), 2)
?cp(j)i ?cij +cp(j)j, and 3) zero. In Figure 4.2, we show the possible moves.
In order to find the optimal reallocation of demand across all id-nodes, we
formulate an inter-depot mixed integer program (IDMIP). Our formulation is based
on the endpoint mixed integer program with minimum delivery amounts (EMIP-
MDA) developed by Gulczynski, Golden, and Wasil [52]. The EMIP was originally
developed by Chen, Golden, and Wasil [20].
In the IDMIP, let R be the set of routes of solution S. Let Qr be the resid-
ual capacity of route r ? R (that is, the vehicle capacity minus the total amount
delivered on r). Let Di be the demand of endpoint i.
The decision variables are defined as follows. Let bi equal 1 if all of id-node
i?s demand is moved (that is, i is removed from its current route), and 0 otherwise;
mij equals 1 if id-node i is inserted before j ? NE(i), and 0 otherwise; and dij is
69
the amount of id-node i?s demand that is moved before j ? NE(i).
Our formulation of the IDMIP is given by the following objective function and
constraints.
maximize summationdisplay
i?ID
bi(cp(i)i +cis(i) ?cp(i)s(i))? summationdisplay
i?ID
summationdisplay
j?NE(i)
mij(cp(j)i +cij ?cp(j)j) (1)
subject to
summationdisplay
i:j?NE(i)
dij + summationdisplay
q:k?NE(q)
dqk ? summationdisplay
l?NE(k)
dkl ? summationdisplay
t?NE(j)
djt ? Qr
?r ? R; k,j id-nodes of route r (2)
summationdisplay
j?NE(i)
dij ? Di ?i ? ID (3)
summationdisplay
j?NE(i)
dij ? Dibi ?i ? ID (4)
Dimij ? dij ?i ? ID, ?j ? NE(i) (5)
1?bi ? summationdisplay
j:i?NE(j)
mji ?i ? ID (6)
1?bp(i) ? summationdisplay
j:i?NE(j)
mji ?i ? ID (7)
bk +bp(k) ? 1 ?r ? R; k,p(k) id-nodes of route r (8)
dij ? 0 ?i ? ID, ?j ? NE(i) (9)
mij,bi ? {0,1} ?i ? ID, ?j ? NE(i) (10)
In the objective function (1), we maximize the total savings across all possible
endpoint moves. Constraints (2) ensure that feasibility is maintained with respect
to vehicle capacity, that is, the total amount of demand moved to a route minus the
total amount moved from a route is less than the residual capacity. In constraints
(3), we cannot move more than the actual demand at a customer. In constraints (4),
we ensure that all demand is moved from customer i if bi = 1, while in constraints
(5), we ensure that mij = 1 if any demand is moved from customer i prior to
70
customer j. Constraints (6) and (7) prevent any demand from being moved prior
to customer i if i or p(i) has been removed from its route. In constraints (8), we
eliminate the possibility of removing both customers k and p(k). Constraints (6)?(8)
ensure the objective value reflects the savings accurately, as the coefficients in the
objective function depend on a customer and its predecessor. Constraints (9) and
(10) ensure nonnegativity and 0-1 solutions.
To illustrate, we apply IDMIP to the solution given in Figure 4.3. Initially,
there are three routes: w1-2-1-w1, w1-3-w1, and w2-4-5-w2 (w1 and w2 represent
depots 1 and 2, respectively). The solution returned by IDMIP is given in Figure
4.1. It has two routes. A savings of two units is achieved by removing customer
3 from its route, moving 5 units of its demand immediately prior to customer 2,
and moving 5 units of its demand immediately prior to customer 4. The IDMIP
formulation for this example is given in Section 4.6 (Appendix I).
4.3.4 Improving Routes with an Inter-depot Routing Algorithm
By solving the SDVRP for each depot and the customers assigned to it, we
generate an initial solution S to the MDSDVRP. Using S, an IDMIP is formulated
and solved. We point out that a small IDMIP can be time-consuming to solve (a 50-
node problem can have as many as 550 integer variables, 500 continuous variables,
and 1,800 constraints). Therefore, we set a run-time limit that takes into account
the size of the problem. We solve the IDMIP and denote the solution by S1.
Finally, we perform a route clean-up procedure. Using S1, we create an MD-
71
Depot 1 Depot 2
1
2 4
5
3(10)
(10) (10)
(10)
(10)
2 2
22
33
2
2
Figure 4.3: In this MDSDVRP, there are five nodes and two depots. Node labels in
parentheses are delivery amounts and edge labels are distances. The vehicle capacity
is 25. In this solution, the total distance is 18 units.
VRP instance, denoted by I, by considering each visit to each customer on a route
in S1 as a distinct customer in I whose demand is the amount serviced on that visit.
For example, if there is a split delivery at customer i, with dr units being delivered
on route r and dq units being delivery on route q (dr+dq = Di), then in I, we create
two distinct customers at the same location as i, one with demand dr and one with
demand dq.
We apply an inter-depot routing algorithm (IDR) to I using S1 as the initial
solution. IDR is strictly a routing heuristic (no new splits are created during its
execution). IDR improves the routes of each depot separately using ERTR (see
Table 4.1), and then performs one-point node moves across all routes, including
those of different depots. The details of IDR are given in Table 4.3. The complete
72
Table 4.3: Inter-depot routing algorithm.
S = current MDSDVRP solution, M = number of depots
maxCount = 20, cntr = 1
Repeat
For w = 1 to M
Let Sw be the VRP solution with depot w
Apply ERTR to Sw
End-For
Apply one-point moves across all routes of all depots
cntr = cntr + 1
Until (cntr > maxCount) or (no improvement of S)
Return S
Table 4.4: The IDH for solving MDSDVRPs.
M = number of depots
Assign customers to depots
If (the number of customers N is less than 120)
Set MIP time limit T1 to 250/M seconds
Set MIP time limit T2 to 250 seconds
Else T1 = 400/M,T2 = 400
Set max neighborhood size L = 10
Solve the SDVRP for each depot and its assigned customers separately
using EMIP-MDA + ERTR with time limit T1, denote solution by S
S1 = IDMIP solution on S with time limit T2 and neighborhood size L
S2 = solution after IDR is performed on S1
Return S2
description of our heuristic for the MDSDVRP (denoted by IDH) is given in Table
4.4.
4.4 Computational Experiment with IDH
4.4.1 Analysis on Modified MDVRPs
Since the MDSDVRP is a new problem, there are no benchmark problems
we could use to analyze the performance of IDH. We created new MDSDVRPs
73
by modifying 10 MDVRPs originally proposed by Christofides and Eilon [23] and
Gillett and Johnson [42]. We used the node locations from these problems and
changed the customer demands. We let the demand at a customer be a random
integer generated uniformly in the interval [aQ,bQ], where Q is the vehicle capacity
and [a,b] (0 < a < b < 1) is the fractional demand range. We used three fractional
demand ranges ([.1,.9], [.3,.7], and [.7,.9]) giving a total of 10?3 = 30 problems.
We changed the customer demands because, in the original MDVRPs, the
demands are too small, relative to vehicle capacity, for split deliveries to have a
significant effect on the solution. When customer demands are small, there is little
advantage to splitting deliveries, so the solutions with and without split deliveries
are basically the same [7].
We applied IDH to these 30 problems. We measured the improvements to
solutions by allowing split deliveries, and the improvements by allowing inter-depot
split deliveries. In Table 4.5, we give our computational results. In column one,
we give the problem number. In columns two through four, we give the number
of customers (N), the number of depots (M), and the fractional demand range.
In column five, we give the solution values generated by IDH without applying the
EMIP-MDA and the IDMIP (no split deliveries). In column six, we give the solution
values generated by IDH without the IDMIP (no split deliveries between routes of
different depots). In column seven, we give the solution values generated by IDH.
In the last column, we give the run times of IDH in seconds. The integer programs
in IDMIP are solved with ILOG CPLEX 10.0 and Visual C++ (version 6.0) using
a 3.0 GHz Pentium 4 processor and 512MB of RAM.
74
Table 4.5: Computational results for IDH on 30 MDSDVRPs.
Demand IDH Solution IDH Solution
Problem N M Range No Splits No ID Splits IDH Solution Time1 (s)
MDSD1 50 4 [.1, .9] 1067.36 1018.22 1018.22 634.97
[.3, .7] 1027.65 1008.91 990.85 614.86
[.7, .9] 1422.68 1365.75 1344.99 614.63
MDSD2 75 5 [.1, .9] 1365.26 1297.76 1289.06 687.64
[.3, .7] 1290.35 1240.82 1223.57 681.98
[.7, .9] 1808.49 1728.80 1705.98 680.52
MDSD3 100 2 [.1, .9] 2749.47 2636.54 2624.41 654.56
[.3, .7] 2703.78 2604.16 2558.33 657.76
[.7, .9] 4378.35 3919.89 3878.34 660.55
MDSD4 100 2 [.1, .9] 2514.22 2393.23 2393.23 639.72
[.3, .7] 2507.00 2337.59 2336.65 651.33
[.7, .9] 3922.66 3525.24 3525.24 645.45
MDSD5 100 3 [.1, .9] 2121.28 1966.67 1963.13 656.05
[.3, .7] 1990.83 1876.73 1871.47 665.25
[.7, .9] 3007.21 2793.81 2772.58 649.44
MDSD6 100 4 [.1, .9] 2090.91 1985.72 1963.68 657.05
[.3, .7] 2014.99 1908.28 1887.48 689.08
[.7, .9] 2896.41 2707.57 2696.47 664.06
MDSD7 249 2 [.1, .9] 17145.99 16376.96 16096.91 953.58
[.3, .7] 17637.26 16410.12 16136.07 944.08
[.7, .9] 28993.25 25988.47 25502.49 937.56
MDSD8 249 3 [.1, .9] 14114.66 13458.80 13258.26 969.70
[.3, .7] 14675.92 13707.36 13444.18 948.76
[.7, .9] 23629.23 21326.62 20915.02 987.36
MDSD9 249 4 [.1, .9] 12784.86 12044.79 11959.27 960.80
[.3, .7] 13473.88 12330.74 12176.61 942.39
[.7, .9] 21223.79 19048.59 18844.77 987.05
MDSD10 249 5 [.1, .9] 12161.69 11572.88 11377.30 938.83
[.3, .7] 12934.74 11960.70 11831.52 980.63
[.7, .9] 19841.86 17959.15 17777.76 961.67
Average Deviation 6.322 1.043
1 3.0 GHz Pentium 4 processor
2 100[1 ? (IDH Solution No ID Splits / IDH Solution No Splits)]%
3 100[1 ? (IDH Solution / IDH Solution No ID Splits)]%
In Table 4.5, we see that, on these 30 problems, we reduced the distance
traveled by 6.32%, on average, by allowing split deliveries between routes of the same
depot. We reduced the distance traveled by an additional 1.04%, on average, by
allowing split deliveries between routes of different depots. The total improvement
between the IDH solutions with and without split deliveries is 7.30%, on average.
75
4.4.2 Performance on MDSDVRPs with Visually Estimated Solu-
tions
To compare the solutions of IDH against benchmark solutions, we created 12
MDSDVRPs (SQ1?SQ12) that have very good visually estimated solutions. We
call SQ1?SQ12 square problems, because the customers are located on concentric
squares centered at the depots. The square problems vary in size from 32 customers
to 240 customers and from two depots to five depots. In Figure 4.4, we show an
example square problem (SQ3) with 64 customers and four depots. The algorithm
used to generate the square problems is given in Section 4.7 (Appendix II).
In Figure 4.5, we show a portion of the visually estimated solution for SQ3.
There are eight customers (nodes 1 through 8) and two depots. Customers 1 and 7
have demand 90, customers 2 and 8 have demand 60, customer 3 has demand 85,
customer 4 has demand 55, customer 5 has demand 95, and customer 6 has demand
65. The vehicle capacity is 100 units.
In Figure 4.5, there are six routes. Three routes use depot 1. One vehicle
starts at depot 1, delivers 80 units to customer 1, delivers 20 units to customer 2,
and returns to depot 1. A second vehicle starts at depot 1, delivers 10 units to
customer 1, delivers 85 units to customer 3, delivers 5 units to customer 5, and
returns to depot 1. (For the sake of simplicity, we assume the vehicle travels back
through customers 3 and 1 on its path from customer 5 to depot 1. The added
distance from this assumption is very small.) A third vehicle starts at depot 1,
delivers 40 units to customer 2, delivers 55 units to customer 4, delivers 5 units to
76
?20 ?10 0 10 20 30 40 50 60
?20
?10
0
10
20
30
40
50
60
Figure 4.4: SQ3 has 64 customers and four depots. The solid dots are the depots
and the open dots are the customers.
customer 6, and returns to depot 1. Three routes use depot 2. One vehicle starts
at depot 2, delivers 80 units to customer 7, delivers 20 units to customer 8, and
returns to depot 2. A second vehicle starts at depot 2, delivers 10 units to customer
7, delivers 90 units to customer 5, and returns to depot 2. A third vehicle starts at
depot 2, delivers 40 units to customer 8, delivers 60 units to customer 6, and returns
to depot 2.
In Figure 4.5, the deliveries to customers 1 and 2 are split between vehicles
using depot 1. The deliveries to customers 7 and 8 are split between vehicles using
77
Depot 2Depot 1
(10)
(80)(80)
(85) (90)
(5)
(40)
(20)
(40) (55) (5)
(60)
1
3 5
4 6
(10)
(20) 8
7
2
Figure 4.5: A portion of a visually estimated solution.
depot 2. The deliveries to customers 5 and 6 are split between a vehicle using depot
1 and a vehicle using depot 2. The routes of the visually estimated solutions for all
square problems follow this basic structure.
In Table 4.6, we give the results of applying IDH to the 12 square problems.
IDH performs very well on these problems generating an average solution 0.43%
above the estimated solution.
In Figure 4.6, we show the visually estimated solution and the solution pro-
duced by IDH for problem SQ3. The visually estimated solution has 48 routes, 42
total split deliveries, and 10 split deliveries among vehicles using different depots.
The IDH solution has 51 routes, 25 total split deliveries, and 2 split deliveries be-
tween vehicles using different depots. The IDH solution is 0.50% larger than the
estimated solution. The detailed structure of the routes in the estimated solution is
shown in Figure 4.5.
78
Table 4.6: Computational results for IDH on 12 problems.
IDH Estimated
Problem N M Solution Solution Time1 (s)
SQ1 32 2 1063.08 1057.69 638.21
SQ2 48 3 1601.02 1588.53 634.49
SQ3 64 4 2142.11 2131.37 559.59
SQ4 80 5 2684.02 2662.21 604.27
SQ5 64 2 3434.71 3422.19 646.75
SQ6 96 3 5142.06 5135.29 653.13
SQ7 128 4 6869.14 6860.39 924.82
SQ8 160 5 8600.60 8573.48 928.18
SQ9 96 2 7109.71 7050.62 696.69
SQ10 144 3 10586.51 10577.93 939.77
SQ11 192 4 14135.80 14117.24 947.85
SQ12 240 5 17739.64 17644.55 940.91
Average Deviation 0.432
1 3.0 GHz Pentium 4 processor
2 100[(IDH Solution ? Estimated Solution) / Estimated Solution]%
4.5 Conclusions
In this chapter, we described the multi-depot split delivery vehicle routing
problem which is a new problem in the VRP literature. We developed a heuristic
for the MDSDVRP that combined an algorithm for the traditional SDVRP with an
inter-depot mixed integer program and an inter-depot routing algorithm. We applied
our heuristic to 30 modified MDVRPs and measured the improvements achieved by
splitting deliveries between routes of the same depot and splitting deliveries between
routes of different depots.
We generated 12 new test problems that have high-quality visually estimated
solutions. Our heuristic produced very good solutions to these 12 problems. Overall,
our solution procedure was very effective in solving a wide range of problems.
79
?20 ?10 0 10 20 30 40 50 60
?20
?10
0
10
20
30
40
50
60
(a) Visually estimated solution for SQ3.  Total distance is 2131.37.
?20 ?10 0 10 20 30 40 50 60
?20
?10
0
10
20
30
40
50
60
(b) IDH solution for SQ3.  Total distance is 2142.11.
Figure 4.6: Problem SQ3 with visually estimated and IDH solutions.
4.6 Appendix I
We present the IDMIP formulation using the example given in Figure 4.3 as
the initial solution. The routes of the initial solution are 1) 0-2-1-0, 2) 0-3-0, and 3)
6-4-5-8-6, where nodes 0 and 6 represent depot 1 and depot 2, respectively. In this
example, for simplicity, we omit the decision variables for customers 1 and 5. These
variables are zero in the optimal solution. The IDMIP formulation is as follows.
80
maximize b2(c02 + c21 ? c01) + 2b3c03 + b4(c64 + c45 ? c65) ? m23(c02 + c23 ? c03) ?
m24(c62 +c24 ?c64)
?m32(c03+c32?c02)?m34(c63+c34?c64)?m42(c04+c42?c02)?m43(c04+c43?c03)
subject to
d32 +d42 ?d23 ?d24 ? Q1
d23 +d43 ?d32 ?d34 ? Q2
d24 +d34 ?d42 ?d43 ? Q3
d23 +d24 ? D2
d32 +d34 ? D3
d42 +d43 ? D4
d23 +d24 ? D2b2
d32 +d34 ? D3b3
d42 +d43 ? D4b4
D2m23 ? d23
D2m24 ? d24
D3m32 ? d32
D3m34 ? d34
D4m42 ? d42
D4m43 ? d43
1?b2 ? m32 +m42
1?b3 ? m23 +m43
1?b4 ? m24 +m34
dij ? 0 for i,j = 2,3,4
bi = 0,1 for i = 2,3,4
mij = 0,1 for i,j = 2,3,4
In this example, we have Q1 = 5, Q2 = 15, Q3 = 5, and D2 = D3 = D4 = 10.
The symmetric distances are given by c02 = 3,c03 = 2,c04 = 4, c23 = 2,c24 = 3,c26 =
4, c34 = c36 = 2, and c46 = 3. The objective function is given by
maximize 3b2 + 4b3 + 3b4 ?3m23 ?4m24 ?m32 ?m34 ?4m43 ?4m42.
Since the decision variables for customers 1 and 5 are omitted in this example,
constraints (7) and (8) are not applicable, so they are not presented. The objective
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function is maximized when b3 = 1, m32 = 1, m34 = 1, d32 = 5, d34 = 5, and
all other decision variables are 0. A maximum savings of two units is produced
by removing customer 3 from its route, reallocating 5 units of its demand before
customer 2, and reallocating 5 units of its demand before customer 4. This solution
is given in Figure 4.1.
4.7 Appendix II
Generator for the 12 square problems
N is the number of customers.
M is the number of depots.
2G is the number of concentric squares of customers centered at a depot.
N = 16MG. (There are 8 customers on each square.)
(um,vm) are the coordinates of depot m.
(xi,yi) are the coordinates of customer i.
Di is the demand of customer i.
Vehicle capacity is 100 units.
??m, ?+m, ??m, ?+m are variables defined as follows. Given depot m with coordi-
nates (um,vm), if there is a depot located at (x,vm), where x < um, then ??m = 1,
otherwise ??m = 0. If there is a depot located at (x,vm), where x > um, then ?+m = 1,
otherwise ?+m = 0. If there is a depot located at (um,y), where y < vm, then ??m = 1,
otherwise ??m = 0. If there is a depot located at (um,y), where y > vm, then ?+m = 1,
otherwise ?+m = 0.
82
Table 4.7: Generator for MDSDVRPs.
(Get depot coordinates)
For m = 1 to M
p = ??m?, q = p2
If (m?q ? p), a = p, b = m?q
Else a = (p+ 1)2 ?m?1, b = p
um = (40G+ 2)a, vm = (40G+ 2)b
End-For
(Get customer coordinates and demands)
i = 1
For m = 1 to M
For g = 1 to 2G
For j = ?1 to 1
For k = ?1 to 1
If (j negationslash= 0) or (k negationslash= 0)
xi = 10gj +um, yi = 10gk +vm
If (|j|?|k| = 0), Di = 90
Else Di = 60
If (g = 2G)
If (j = ?1) and (??m = 1) and (m mod 2 = 0)
Di = Di ?5
Else If (j = ?1) and (??m = 1) and (m mod 2 = 1)
Di = Di + 5
Else If (j = 1) and (?+m = 1) and (m mod 2 = 0)
Di = Di ?5
Else If (j = 1) and (?+m = 1) and (m mod 2 = 1)
Di = Di + 5
Else If (k = ?1) and (??m = 1) and (m mod 2 = 0)
Di = Di ?5
Else If (k = ?1) and (??m = 1) and (m mod 2 = 1)
Di = Di + 5
Else If (k = 1) and (?+m = 1)and (m mod 2 = 0)
Di = Di ?5
Else If (k = 1) and (?+m = 1)and (m mod 2 = 1)
Di = Di + 5
End-If
i = i+ 1
End-If
End-For (k loop)
End-For (j loop)
End-For (g loop)
End-For (m loop)
83
Chapter 5
The Period Vehicle Routing Problem
5.1 Introduction
In the vehicle routing problem (VRP), a fleet of vehicles must service the
demands of customers. A vehicle begins and ends its route at the same depot,
and the sum of the demands of the customers on a route cannot exceed a vehicle?s
capacity. A customer must have all of its demand delivered at one time by a single
vehicle. The objective is to minimize the total distance traveled by the fleet.
In the standard period vehicle routing problem (PVRP), customers may re-
quire service on multiple days during a time period. Customers must first be assigned
to service patterns (for example, customers requiring three visits might be assigned
a Monday-Wednesday-Friday service pattern), and then a VRP is solved for each
day of the time period for all customers scheduled on that day. The objective is to
minimize the total distance traveled by the fleet across all days of the time period.
Let T = {1,...,P} be the P days in the time period, and let ? be the set of
subsets of T giving the allowable service patterns. For example, {1,2,...,P} would
be a service pattern in ? where a customer is serviced every day during the time
period. V = {v1,...,vN} is the set of customers, and v0 is the depot. Let qi be the
demand of customer i that must be satisfied by a vehicle at a visit, and let ?i ? ?
be the allowable service patterns of customer i. Let the distance between a pair of
84
customers e = (i,j) be denoted by ce (or cij), and let Q be the vehicle capacity. Let
Rt be a set of routes on day t, let V(r) be the set of nodes and E(r) the set of edges
for route r ? Rt. We want to assign each customer i to a pattern ?i ? ?i and, for
each day t ? T, we want to find a set of routes Rt, such that
? each route begins and ends at v0, for all r ? Rt, t ? T,
? i ? V(r), for some r ? Rt, for all i ? V, t ? ?i (customer demand is fully
satisfied),
? summationtexti?V(r) qi ? Q, for all r ? Rt, t ? T (vehicle capacity restriction), and
? minimize summationtextt?T summationtextr?Rt summationtexte?E(r) ce (total distance traveled by the fleet is mini-
mized).
In Figure 5.1, we provide an example of the PVRP. The time period is two
days, T = {1,2}, and the set of allowable service patterns is ? = {{1},{2},{1,2}}.
There are three customers (nodes 1, 2, 3) and a single depot (node 0). Node labels in
parentheses are demands, and edge labels are travel distances. The vehicle capacity
is 30 units. Customer 1 must be visited twice, on days 1 and 2 (?1 = {{1,2}}),
and customers 2 and 3 must be visited once, on either day 1 or day 2 (?2 = ?3 =
{{1},{2}}). In Figure 5.1(a), we show a route on day 1 and, in Figure 5.1(b), we
show a route on day 2. In this example, the customer assignments are ?1 = {1,2},
?2 = {1}, and ?3 = {2}, and the total distance traveled over both days is 34.
In this chapter, we consider the standard PVRP and two variants that are
encountered in practice. In the first variant, we want to improve an existing solu-
85
5
7
5
7
5
(a) (b)
5
(10) (10)
(10)
(10)
(10)
Day 1 Day 2
1
0
3
2
1
0
3
2
(10)
Figure 5.1: An example of a PVRP with a two-day time period. Node labels in
parentheses are customer demands and edge labels are distances. Vehicle capacity
is 30. The total distance traveled is 34.
tion while constraining the amount of disruption caused by reassigning customers
to new service patterns. This variant is the period vehicle routing problem with
reassignment constraints (PVRP-RC). In the second variant, we want to improve
an existing solution and maintain a balanced workload among the drivers. This
variant is the period vehicle routing problem with balance constraints (PVRP-BC).
The remainder of this chapter is organized as follows. In Section 5.2, we review
the literature on the PVRP. In Section 5.3, we develop an integer programming-
based heuristic for the PVRP and provide computational results. In Section 5.4,
we discuss the PVRP-RC and the PVRP-BC and show how our heuristic for the
PVRP can be adapted to these problems. In Section 5.5, we give our conclusions.
86
5.2 Literature Review of the PVRP
The literature for the standard PVRP dates back to the 1970s, with solution
procedures developed by Beltrami and Bodin [11] and Russell and Igo [81]. In the
1980s and early 1990s, solution procedures were developed by Tan and Beasley [88],
Christofides and Beasley [22], and Russell and Gribbin [80]. In the mid 1990s, Chao,
Golden, and Wasil [19] developed a two phase, record-to-record travel algorithm for
the PVRP, and Cordeau, Gendreau, and Laporte [26] used a tabu search heuristic.
In 2001, Drummond, Ochi, and Vianna [35] used a parallel genetic algorithm for the
PVRP. Recently, Alegre, Laguna, and Pacheco [1] developed a scatter search algo-
rithm designed especially for problems with long time periods, and Hemmelmayr,
Doerner, and Hartl [54] implemented a variable neighborhood search heuristic.
Several variants of the PVRP have been presented in the literature. Baptista,
Oliveira, and Z?uquete [9] considered the PVRP in which customer demand is a
random variable and the objective function is modified to treat demand as profit.
Gon?calves, Ochi, and Martins [49] considered a variant in which customer frequency
is a decision variable and the objective is to maximize service, not minimize travel
distance. Angelelli and Speranza [2] generalized the PVRP by allowing intermediate
facilities. Hadjiconstantinou and Baldacci [53] considered multiple depots, while
Francis, Smilowitz, and Tzur [38] modeled the PVRP with service choice.
Many real-world problems have been modeled as PVRPs including waste and
recycled goods collection [9, 11, 81], grocery and soft drink distribution [17, 47], fuel
oil and industrial gas delivery [32], internal transport installation and maintenance
87
[13], utility services [53], automobile parts distribution [1], and oil collection from
onshore wells [49].
5.3 An Integer Programming-based Heuristic for the PVRP
5.3.1 Generating an Initial Solution
We describe a heuristic for the PVRP. We generate an initial solution with a
method that is similar to one developed by Chao, Golden, and Wasil [19]. First,
we assign customers to service patterns by solving a mixed integer program (MIP)
that minimizes the maximum amount of demand serviced on a specific day of the
time period. For each k ? ? and t ? T, let the parameter akt equal 1 if day t is in
pattern k, and 0 otherwise. The decision variables of this assignment MIP are M,
the maximum amount of demand serviced on a single day and uik, which is equal
to 1 if customer i is assigned to pattern k, and 0 otherwise. The assignment MIP is
given by (1) to (5).
minimize M (1)
subject to
summationdisplay
k??i
uik = 1 ?i ? V (2)
summationdisplay
i?V
summationdisplay
k??
aktqiuik ? M ?t ? T (3)
uik ? {0,1} ?i ? V,?k ? ?i (4)
M ? 0 (5)
In the objective function (1), we minimize the maximum amount of demand
serviced on a day. In (2), each customer is assigned to exactly one feasible pattern.
88
In (3), the demand serviced on a given day must be less than the maximum amount.
Second, using the solution from the assignment MIP, we generate routes on
each day t ? T by applying a modified Clarke-Wright savings algorithm [95] to the
customers assigned to day t. The result is our initial solution to the PVRP which
we denote by S.
5.3.2 Improving the Initial Solution Using Integer Programming
To improve our initial solution S, we formulate and solve an improvement
integer program (IIP). In the IIP, customers are reassigned to new schedules and
moved to new routes in order to decrease the total distance traveled. By using integer
programming, many moves can be considered simultaneously. This is generally an
advantage over algorithms that move customers one at a time. Also, it is easy to
modify the IIP to model the PVRP-RC and the PVRP-BC (see Section 5.4).
Given a customer i, let V(i) be the neighborhood of i, that is, the set of
L customers j for which cij is the smallest. The neighborhood size L is a preset
parameter. Let ?i ? ?i be the service pattern to which i is assigned in S. We
consider reassigning i to a new service pattern k ? ?i, removing i from its current
route(s), and moving i immediately prior to a customer j on each day t ? k. In
order to find the optimal reassignment, we formulate the IIP given below.
Let Qr be the residual capacity of route r (that is, the vehicle capacity minus
the total amount delivered on r). Let p(i) and s(i) be the predecessor and successor
of customer i on a route in S. The decision variables are defined as follows. Let
89
xijt = 1 if customer i is moved immediately prior to customer j on day t and 0
otherwise; yit = 1 if customer i is removed from its route on day t and 0 otherwise;
and wik = 1 if customer i is reassigned to service pattern k and 0 otherwise.
Our formulation of the IIP is given by (6) to (20).
maximize summationdisplay
i?V
summationdisplay
t?T
(cp(i)i +cis(i) ?cp(i)s(i))yit ?summationdisplay
i?V
summationdisplay
j?V
summationdisplay
t?T
(cp(j)i +cij ?cp(j)j)xijt (6)
subject to
summationdisplay
t?T
yit = summationdisplay
j?V
summationdisplay
t?T
xijt ?i ? V (7)
summationdisplay
j?V
xijt ? summationdisplay
k??:t?k
wik ?i ? V,?t ? T/?i (8)
summationdisplay
j?V
xijt ? yit ?i ? V,?t ? ?i (9)
wik ? summationdisplay
j?V
xijt ?i ? V,?k ? ?i,?t ? k/?i (10)
wik ? 1?yit + summationdisplay
j?V
xijt ?i ? V,?k ? ?i,?t ? k ??i (11)
summationdisplay
i?V
summationdisplay
j on r
qixijt ? summationdisplay
i on r
qiyit ? Qr ?t ? T,?r ? Rt (12)
yit + summationdisplay
j?V
xjit ? 1 ?i ? V,?t ? ?i (13)
yp(i)t + summationdisplay
j?V
xjit ? 1 ?i ? V,?t ? ?i (14)
yit +yp(i)t ? 1 ?i ? V,?t ? ?i (15)
summationdisplay
k??i
wik ? 1 ?i ? V (16)
xijt = 0 ?i ? V,?j negationslash? V(i),?t negationslash? ?j (17)
yit = 0 ?i ? V,?t negationslash? ?i (18)
wik = 0 ?i ? V,?k negationslash? ?i and for k = ?i (19)
xijt,yit,wik ? {0,1} ?i ? V,?j ? V,?t ? T,?k ? ? (20)
In the objective function (6), we maximize the total savings across all customer
moves. Constraints (7) ensure that we remove a customer from a route if and only
if we reinsert the customer elsewhere. In constraints (8), if we insert customer i on
90
day t not in i?s current service pattern, then we reassign i to a new service pattern
containing day t. In constraints (9), we move customer i to a new spot on day t
in i?s current service pattern, only if we remove it from its current spot on day t.
Constraints (8) and (9) also ensure that we do not insert a customer more than
once on a given day. Constraints (10) ensure that if we reassign customer i to a new
service pattern, then we insert i on each day in the new service pattern not in i?s
current service pattern. In constraints (11), if we move customer i to a new service
pattern k, then for each day t in the intersection of pattern k and i?s current service
pattern, we reinsert i on day t if we remove it from its current spot. Constraints
(12) ensure that feasibility is maintained with respect to vehicle capacity, that is,
the total amount of demand moved to a route minus the total amount moved from
a route is less than the residual capacity. Constraints (13) and (14) ensure that
if customer i or the predecessor of i is removed from a route, then no customers
are inserted immediately prior to i on this route. These constraints also ensure
that at most one customer is inserted immediately prior to i. In constraints (15),
we remove either customer i or its predecessor but not both. Constraints (13),
(14), and (15) ensure that the objective function value accurately represents the
reassignment savings, as the coefficients in the objective function depend on the
distance between a customer and its predecessor. Constraints (16) ensure that a
customer is reassigned to at most one new service pattern. In constraints (17), (18),
and (19), we do not allow customer i to be inserted prior to customer j on day t if
j is not a neighbor of i or if j is not serviced on day t. We do not allow customer
i to be removed from a route on day t if day t is not in i?s current service pattern.
91
0 0
1
2
3 1
2
3
(10)
(10) (10)
(10)(10) (10)
(a) (b)
Day 1 Day 2
5
5
55
5 5
Figure 5.2: The optimal solution of the IIP for the example in Figure 5.1. The total
distance is 30 units.
We do not allow customer i to be reassigned to an infeasible service pattern or to
its current service pattern.
In Figure 5.2, we give the optimal solution of the IIP for the PVRP shown in
Figure 5.1. Customer 2 is reassigned to pattern {2}, removed from its route on day
1, and inserted immediately prior to customer 3 on day 2. The total travel distance
is 30 units, a savings of four units over the solution in Figure 5.1. In Section 5.6
(Appendix I), we give the complete IIP formulation for this example.
5.3.3 Improving Daily Routes Using Record-to-record Travel
Vehicle routes for a specific day of the time period are treated as a VRP solu-
tion. We improve this solution using an enhanced record-to-record travel algorithm
(ERTR) developed by Gro?er, Golden, and Wasil [50]. ERTR is a modified version
of the variable length record-to-record travel algorithm (VRTR) developed by Li,
92
Table 5.1: Enhanced record-to-record travel algorithm.
S = initial solution, deviation = 1%, count = 0, C = 10, A = 70
Initialize the record, S? = S
Uphill:
For a = 1 to A
Apply one-point moves, apply two-point moves, apply three-point moves
Apply two-opt edge exchanges, apply Or-opt edge exchanges
Update S if result is within deviation of cost of S?
Update S? if necessary
End-For
Downhill:
Apply Or-opt edge exchanges, apply two-opt edge exchanges
Apply one-point moves, apply two-point moves, apply three-point moves
If (cost decreases), update S and go to Downhill
Else Update S? if necessary, otherwise count = count+ 1
If (count < C) go to Uphill
Perturb solutions once and go to Uphill
Return S?
Golden, and Wasil [63]. VRTR improves a solution by performing one-point and
two-point node exchanges, as well as two-opt edge exchanges. ERTR considers ad-
ditional moves including three-point node exchanges and Or-opt edge exchanges.
Uphill moves are allowed when a solution is within a pre-specified tolerance of the
record (best) solution. The details of ERTR are given in Table 5.1.
5.3.4 Customer Removal and Reinsertion
Given a current solution S, we apply IIP and ERTR repeatedly. We stop when
either i) there is no improvement in the current iteration, or ii) the improvement is
less than a minimum value and S is not within a maximum deviation of the record
(best) solution. Rule ii) allows us to exit an iteration in which we are unlikely to
find a new record solution. Next, we re-initialize S by removing some customers of
S and reinserting them elsewhere. This allows us to explore the solution space from
93
a different (new) solution.
For each customer i, we remove i from S with a pre-set probability. Let C be
the set of customers removed from S. We use the IIP to reinsert the customers in C.
Given the time period, T = {1,...,P}, we create a fictitious day P + 1, assign each
customer j ? C to the fictitious service pattern {P + 1}, and create a round-trip
route from the depot to j on day P + 1. We then solve the IIP with constraints
that ensure each customer in C is reassigned from {P +1} to a new feasible service
pattern. That is, for the customers of C, we modify constraints (16) in the IIP so
that summationtextk??j wjk = 1,?j ? C. We also eliminate constraints (13) and (14) for all
customers. Eliminating these constraints produces more customer moves that are
feasible and helps to generate a feasible solution in a reasonable amount of run time.
However, the objective function now provides only an estimate of the true savings.
After performing this re-initialization step, we again apply the IIP and daily
ERTR. We repeat this process until a stopping condition is reached and return the
best solution. We set a run-time limit for each execution of the IIP. If the IIP is not
solved optimally when the run-time limit is reached, the best solution that had been
found is returned. The details of our integer programming-based heuristic (IPH) for
the PVRP are given in Table 5.2.
5.3.5 Computational Experiment with IPH
We applied IPH to 32 benchmark problems. Ten problems (P1 to P10) were
developed by Eilon, Watson-Gandy, and Christofides [37] for the VRP and adapted
94
Table 5.2: The IPH algorithm for solving the PVRP.
S = current solution, maxRecord = 40, maxIter = 80, p = .7
fi = number of days customer i is serviced throughout the time period
runTime = the current number of seconds elapsed in the algorithm?s execution
minImprove = .05%, maxDeviation = .05%
Set the IIP time limit to 30 seconds
If (number of customers N is less than 50)
Set the neighborhood size L to N ?1
Set the run-time limit maxTime to 400 seconds
Else-if (N < 100), L = N ?1, maxTime = 600
Else L = 10, maxTime = 900
Set recCntr = 0 (number of iterations since the last record solution was found)
Set iterCntr = 0 (total number of iterations)
Generate initial solution S, set best solution S? = S
Apply ERTR to each day of S
Repeat
Repeat
Apply the IIP to S
Apply ERTR to each day of S
If (improvement of S < minImprove) and (deviation of S from S? > maxDeviation)
Break Repeat-Until
Until (no improvement of S is achieved )
Update S? and set recCntr = 0 if necessary, otherwise recCntr = recCntr + 1
For i = 1 to N
Remove customer i from S with probability p/fi
Add i to set C if i is removed from S
End-For
Reinsert the customers of C onto routes of S using the IIP (re-initialization)
Apply ERTR to each day of S
iterCntr = iterCntr + 1
Until (recCntr > maxRecord) or (iterCntr > maxIter) or (runTime > maxTime)
Return S?
to the PVRP by Christofides and Beasley [22]. One problem (P11) is from Russell
and Igo [81]. In its original form, this problem has 125 customers, some with different
demands on different days. For these customers, we created several customers all at
the same location with constant demands. Our problem has 131 customers. Two
problems (P12, P13) were developed by Russell and Gribbin [80]. Nineteen problems
(P14 to P32) are taken from Chao, Golden, and Wasil [19]. These 32 problems vary
in size from 50 customers to 417 customers with time periods from 2 days to 10
95
days. In six problems (P1, P3, P4, P6, P7, P9), all customers require only one visit,
so these problems are VRPs. The integer programs in IPH are solved with ILOG
CPLEX 10.0 and Visual C++ (version 6.0) using a 3.0 GHz Pentium 4 processor
and 512MB of RAM.
In Table 5.3, we give our computational results. In column one, we give the
problem number. In columns two and three, we give the number of customers
(N) and the length of the time period (P). Columns four through eight give the
solution values produced by our algorithm (IPH) and the solution values generated
by the algorithms of Chao, Golden, and Wasil (CGW) [19], Cordeau, Gendreau,
and Laporte (CGL) [26], Alegre, Laguna, and Pacheco (ALP) [1] (problem P13
was not solved), and Hemmelmayr, Doerner, and Hartl (HDH) [54]. We report
the results from these algorithms using the default parameter settings given by the
authors. In column nine, we give the value of the best-known solution found by
these algorithms using any parameter setting during computational experiments.
The best-known solution values are given in [54]. Although Drummond, Ochi, and
Vianna [35] report results for these problems, we have not included them in Table
5.3 because they contain ?evident errors? according to [1]. For the problems in Table
5.3, the number of vehicles available each day is fixed at a constant K. Although
we do not explicitly limit the number of vehicles in IPH, for no problem did our
solution require more than K vehicles on a day.
In Table 5.3, we see that IPH performs very well among the five algorithms.
IPH generated the best solutions to 16 problems (there are ties) and had the small-
est average deviation from the best-known solutions (1.16%). IPH matched the
96
Table 5.3: Computational results for five algorithms on 32 PVRPs.
Best-known
Problem N P IPH CGW CGL ALP HDH Solution
P1 50 2 524.61 524.6 524.61 531.02 524.61 524.61
P2 50 5 1334.11 1337.2 1330.09 1324.74 1332.01 1322.87
P3 50 5 524.61 524.6 524.61 537.37 528.97 524.61
P4 75 2 849.44 860.9 837.94 845.97 847.48 835.26
P5 75 5 2064.62 2089.0 2061.36 2043.75 2059.74 2027.99
P6 75 10 839.93 881.1 840.30 840.10 884.69 835.45
P7 100 2 829.44 832.0 829.37 829.65 829.92 826.14
P8 100 5 2054.25 2075.1 2054.90 2052.21 2058.36 2034.15
P9 100 8 829.44 829.9 829.45 829.65 834.92 826.14
P10 100 5 1645.42 1633.2 1629.96 1621.21 1629.76 1593.45
P11 131 5 781.68 791.3 817.56 782.17 791.18 779.06
P12 163 5 1266.39 1237.4 1239.58 1230.95 1258.46 1195.88
P13 417 7 3624.77 3629.8 3602.76 NS 3835.90 3511.62
P14 20 4 954.81 954.8 954.81 954.81 954.81 954.81
P15 38 4 1862.63 1862.6 1862.63 1862.63 1862.63 1862.63
P16 56 4 2875.10 2875.2 2875.24 2875.24 2875.24 2875.10
P17 40 4 1597.66 1614.4 1597.75 1597.75 1601.75 1597.66
P18 76 4 3215.43 3217.7 3159.22 3157.00 3147.91 3136.69
P19 112 4 4845.97 4846.5 4902.64 4846.49 4851.41 4834.34
P20 184 4 8369.72 8367.4 8367.40 8412.02 8367.40 8367.40
P21 60 4 2189.90 2216.1 2184.04 2173.58 2180.33 2170.61
P22 114 4 4327.96 4436.4 4307.19 4330.59 4218.46 4193.95
P23 168 4 6683.29 6769.0 6620.50 6813.45 6644.93 6420.71
P24 51 6 3741.98 3773.0 3704.11 3702.02 3704.60 3687.46
P25 51 6 3817.08 3826.0 3781.38 3781.38 3781.38 3777.15
P26 51 6 3833.64 3834.0 3795.32 3795.33 3795.32 3795.32
P27 102 6 21946.89 23401.6 23017.45 22561.33 22153.31 21946.89
P28 102 6 22384.04 23105.1 22569.40 22562.44 22418.52 22305.34
P29 102 6 22668.10 24248.2 24012.92 23752.15 22864.23 22639.85
P30 153 6 75238.50 80982.1 77179.33 76793.99 75579.23 74464.26
P31 153 6 77263.61 80279.1 79382.35 77944.79 77459.14 76552.25
P32 153 6 78794.46 83838.7 80908.95 81055.52 79487.97 78072.88
Average 1.16 2.71 1.58 1.36 1.39
Deviation1
1 Deviation is 100[(Solution / Best-known Solution) ? 1]%
Bold indicates the best solution among the five algorithms.
NS Not Solved
best-known solutions to seven problems listed in column nine and produced three
new best-known solution (P16, P17, and P27). ALP was next with the best solu-
tions to 10 problems and an average deviation of 1.36% on 31 problems. In this
97
Table 5.4: Run times (seconds) for five algorithms on 32 PVRPs.
Problem N P IPH1 CGW2 CGL3 ALP4 HDH5
P1 50 2 231.03 66 29.4 268 98.3
P2 50 5 615.75 408 35.4 494 81.6
P3 50 5 282.05 36 32.4 45 100.5
P4 75 2 629.75 462 46.8 1426 67.2
P5 75 5 625.92 324 52.8 1280 68.0
P6 75 10 644.03 180 57.0 1797 76.0
P7 100 2 564.58 330 76.8 199 183.2
P8 100 5 939.13 910 123.6 3584 142.9
P9 100 8 656.39 258 95.4 970 193.1
P10 100 5 943.16 1082 123.6 9467 170.0
P11 131 5 970.13 12324 206.4 6492 253.7
P12 163 5 967.44 714 236.4 515 354.7
P13 417 7 911.11 2022 1491.6 NS 127.6
P14 20 4 79.94 12 9.6 5 37.3
P15 38 4 202.41 30 23.4 1 93.9
P16 56 4 323.26 18 41.4 2 217.7
P17 40 4 293.80 318 22.2 96 56.7
P18 76 4 572.65 666 64.2 401 142.5
P19 112 4 952.99 3636 135.6 20 258.2
P20 184 4 976.18 9030 232.2 60 889.1
P21 60 4 621.79 6 33.0 373 72.5
P22 114 4 940.20 816 132.0 528 169.6
P23 168 4 985.60 4200 342.0 42 341.4
P24 51 6 474.47 198 31.8 114 52.2
P25 51 6 351.53 18 31.2 69 46.9
P26 51 6 463.13 66 31.2 8 45.2
P27 102 6 930.37 120 82.8 219 66.0
P28 102 6 931.72 174 80.4 435 64.6
P29 102 6 934.79 66 76.2 19 59.3
P30 153 6 983.15 270 171.0 20 78.0
P31 153 6 977.68 354 160.8 7650 77.1
P32 153 6 974.68 204 145.8 8316 70.4
Average 685.97 1229 139.2 1449 148.6
1 3.0 GHz Pentium 4 processor
2 SUN 4/370 workstation
3 3.2 GHz Pentium 3 processor (times are from [54])
4 600 MHz Pentium 3 processor
5 3.2 GHz Pentium 3 processor
NS Not solved
computational experiment, IIP accounts for a substantial amount of improvement
to a solution. For example, on P2, a single execution of IIP improved a solution by
98
1.39%, while a single execution of ERTR improved a solution by 0.44%.
In Table 5.4, we provide the run times in seconds for the five algorithms.
Each algorithm is run on a different machine. CGL and HDH are the two fastest
algorithms, on average, followed by IPH. IPH is slower due to the large number of
integer programs that it solves during a run.
In Appendix C, we give all problems used in testing and all solutions generated
by IPH.
5.4 PVRP in Practice
In this section, we formulate new models that take real-world routing consid-
erations into account in two ways. First, we try to improve an existing solution
by reassigning customers to new routes. We use three different types of constraints
to limit the number of customer reassignments: a hard limit, a soft limit, and a
restricted limit (detailed explanations are given in the sections that follow). In the
case of soft and restricted limits, we show how a routing manager could develop
effective routes in practice. Second, we show how to achieve a balanced workload
among drivers across different routes.
5.4.1 The PVRP with Reassignment Constraints
5.4.1.1 Formulation
In the PVRP-RC, we improve a solution S? while constraining the amount
of disruption to the routes of S? caused by customer reassignments. We consider
99
three types of constraints. First, we set a hard constraint on the total number of
customer reassignments. Given S?, the objective is to find the solution S? with
the smallest total distance traveled such that the number of customers assigned to
different service patterns in S? and S? is less than a specified limit. Second, we
set a soft constraint. We incur a penalty for each customer that has a pattern
different than its pattern in S?. The objective is to find the solution S? with the
smallest total objective value, i.e., we minimize total routing distance plus total
reassignment penalty cost. Third, we allow the customers visited once during the
time period (one-day customers) to be reassigned, but no other customers can be
reassigned. One-day customers are usually the easiest to move so, in many cases,
they can be reassigned without causing wide-scale disruption [62].
The PVRP-RC is a more realistic model than the traditional PVRP. In prac-
tice, companies have existing routes that, over time, have become inefficient due
to adding and deleting customers from routes and other modifications. There may
be economical, logistical, and contractual issues that prevent a company from con-
structing new routes entirely from scratch. When customers are assigned to new
routes on new days, the company may incur costs due to paperwork and processing,
as well as learning-curve costs because drivers have to visit new customers on new
days. Some companies have thousands of vehicles in their fleets and visit millions of
customers annually [13]. Generating new routes for these companies would take a
lot of time and would be very costly. Also, some customers rely on being serviced on
certain days and view reassignments as an inconvenience. In practice, it is desirable
to minimize (limit) the number of customer reassignments in order to maintain good
100
customer relations [62].
5.4.1.2 Hard Reassignment Constraints
In the PVRP with a hard reassignment constraint (PVRP-RCH), we start
with a solution S? and a customer reassignment limit W. We seek the solution S?
with the smallest travel distance such that the number of customers reassigned to
different patterns in S? and S? is at most W.
We modify the IIP to model the PVRP-RCH by including the constraint
summationtext
i?V,k??i wik ? W to ensure that no more than W customers are reassigned.
In preliminary computational experiments, we found that better results can
occur when the IIP is solved several times rather than being solved once because
more moves are possible. In our experiments, we set the reassignment limit in the
IIP to ?WL ?, where L is a parameter. We solve the IIP until no feasible improvements
are possible. We track customers as they are reassigned so that they do not count
against the reassignment limit in IIPs that are subsequently solved. When solving
daily VRPs, no customers are reassigned to new patterns, and we can apply the
daily ERTR without affecting the number of reassignments. In Table 5.5, we give
the details of an IIP-based heuristic (denoted IPH-RCH) for solving the PVRP-
RCH.
We also develop a greedy heuristic to solve the PVRP-RCH and compare its
solutions to the solutions generated by IPH-RCH. Given a current solution S, we
consider the savings produced by reassigning a single customer i to a new pattern
101
Table 5.5: The IPH-RCH algorithm for solving the PVRP-RCH.
S? = an existing solution,S = current solution,L = 4
W = number of allowable customer reassignments
w = IIP customer reassignment limit
a = number of customers assigned to different patterns in S?and S
Initialize S = S?, w = ?WL ?
Repeat
Apply the IIP to S with a reassignment limit of w and a time limit of 100 s
Apply ERTR to each day of S
Calculate a from S? and S
w = min{W ?a,?WL ?}
Until (w = 0) or (no improvement of S)
Return S
k. We remove i from its routes in S and consider inserting i in a feasible, least-
cost manner into routes on each of the days in k. We order the customers from
largest possible savings to smallest possible savings and consider the three customers
(denoted i1, i2, and i3) with the largest positive savings on the list. We reassign
one of the customers i1, i2, and i3, with probabilities ?1, ?2, and ?3 (?1 +?2 +?3 =
1), respectively. This process is repeated until the maximum number of customer
reassignments W has been reached or no customer reassignments produce positive
savings. The details of the greedy heuristic (GH) are given in Table 5.6.
For 26 PVRPs (we omitted the six problems with customers visited only on
one day), we ran IPH-RCH once and GH 150 times on each problem. We use the
same initial solution for both algorithms (the procedure for generating an initial
solution is given in Section 5.3.1). We set the reassignment limit to 10% of the
number of customers (W = ?.1N?). The solutions produced by IPH-RCH and GH
are given in Table 5.7. In column one, we give the problem number. In columns two
through four, we give the number of customers (N), the number of days in the time
102
Table 5.6: The GH algorithm for solving the PVRP-RCH.
S? = an existing solution,S = current solution,?1 = .5,?2 = .3
W = maximum number of allowable customer reassignments
N = number of customers
Initialize Cntr = 1
Initialize S = S?
Repeat
Order customers i1, i2, ..., iN according to possible savings attained from reassignment
If (reassigning i1 gives positive savings)
Let u be a random variable uniformly distributed in [0,1]
If (u ? ?1) or (reassigning i2 gives negative savings)
reassign customer i1
Else-if (u ? ?1 +?2) or (reassigning i3 gives negative savings)
reassign customer i2
Else
reassign customer i3
Cntr = Cntr + 1
Else
Break Repeat-Until
Until (Cntr = W)
Return S
period (P), and the number of allowable customer reassignments (W). In column
five, we give the solution generated by IPH-RCH. In column six, we give the best
solution produced by GH over the 150 runs. In columns seven and eight, we give
run times (in seconds) for the two heuristics, where the value for GH is the total
time for all 150 runs.
In Table 5.7, we see that, on average, IPH-RCH produces solutions that are
0.11% above the best solutions generated by the two heuristics. For the best GH
solution, the deviation is 1.90%, on average. For 18 of the 26 problems, the IPH-
RCH solution is better than the best GH solution. For five problems, the best GH
solution is better than the IPH-RCH solution and, for three problems, both methods
generated the same solution. IPH-RCH averaged 63.90 seconds for one run. GH
averaged 701.10 seconds for 150 runs.
103
Table 5.7: Results for two algorithms on 26 PVRP-RCs with a hard constraint.
GH IPH-RCH GH
Problem N P W IPH-RCH Best Solution Run Time (s)1 Run Time (s)2
P2 50 5 5 1460.94 1474.33 9.10 260.01
P5 75 5 8 2222.10 2257.46 173.21 455.29
P8 100 5 10 2218.95 2293.78 77.58 684.37
P10 100 5 10 1843.01 1915.76 32.94 644.70
P11 131 5 14 852.96 856.25 177.13 684.44
P12 163 5 17 1479.19 1479.19 71.00 771.85
P13 417 7 42 4353.27 4632.46 301.67 2057.16
P14 20 4 2 1001.08 993.96 0.78 99.34
P15 38 4 4 2085.71 2085.71 5.72 183.19
P16 56 4 6 3315.50 3264.39 6.55 2986.47
P17 40 4 4 1693.11 1707.58 1.58 209.60
P18 76 4 8 3376.73 3376.73 16.56 530.47
P19 112 4 12 5240.44 5227.35 27.67 843.38
P20 184 4 19 9557.63 9587.68 64.05 1646.77
P21 60 4 6 2302.54 2301.80 15.77 359.78
P22 114 4 12 4593.37 4616.20 34.19 808.29
P23 168 4 17 7073.15 7094.98 75.58 1335.44
P24 51 6 6 4265.28 4304.03 5.20 214.05
P25 51 6 6 4264.28 4278.95 5.09 200.57
P26 51 6 6 4328.92 4314.00 5.28 199.03
P27 102 6 11 23269.58 24615.63 30.55 598.21
P28 102 6 11 24407.57 25842.37 45.48 560.23
P29 102 6 11 24927.55 25739.63 34.33 631.81
P30 153 6 16 79801.93 83537.31 128.03 1235.76
P31 153 6 16 82537.45 87882.83 115.63 1345.23
P32 153 6 16 83793.91 86697.54 200.61 1202.99
Average 0.11 1.90
Deviation3
1 3.0 GHz Pentium 4 processor
2 3.0 GHz Pentium 4 processor (total for all runs)
3 Deviation is 100[(Solution / Best Solution) ? 1 ]%
.
Bold indicates the best solution.
104
5.4.1.3 Soft Reassignment Constraints
We can limit the number of customer reassignments by penalizing them in the
objective function. In the PVRP with a soft reassignment constraint (PVRP-RCS),
we start with a solution S? and try to minimize summationtextt?T summationtextr?Rt summationtexte?E(r) ce +summationtexti?V piui.
The first term is the routing distance described in Section 5.1 and the second term
is the reassignment penalty. Here, pi is the penalty for reassigning customer i to
a new pattern and ui is a binary variable equal to 1 if customer i is assigned to a
different pattern than its pattern in S? and equal to 0 otherwise.
To solve the PVRP-RCS, we add a penalty term to the objective function (6)
of the IIP. Let S and S? be the current solution and initial solution, respectively.
Let ?ik be a parameter equal to 1 if customer i is assigned to pattern k in S? and
0 otherwise. Let ?i be a parameter equal to 1 if customer i is assigned to the same
pattern in S as in S? and 0 otherwise. We maximize the savings from reassigning
and rerouting customers:
summationdisplay
i?V
summationdisplay
t?T
(cp(i)i +cis(i) ?cp(i)s(i))yit ?summationdisplay
i?V
summationdisplay
j?V
summationdisplay
t?T
(cp(j)i +cij ?cjp(j))xijt
+summationdisplay
i?V
summationdisplay
k??
(?ik ??i)piwik. (21)
The first two terms are the savings in routing and the third term is the savings from
reassignments. The third term is explained in more detail in Section 5.7 (Appendix
II).
Using (21) in the IIP, we apply IPH to solve the PVRP-RCS and denote the
heuristic by IPH-RCS. We set pi equal to a fraction of the distance traveled in
the initial solution that is proportional to the frequency of customer i. That is,
105
pi = ?Cfi where 0 < ? < 1 is the constant reassignment penalty fraction, fi is
the number of times customer i is visited throughout the time period, and C is the
distance traveled in S?.
We are interested in studying how the total routing distance of a solution gen-
erated by IPH-RCS changes as the value of ? is varied. In Figure 5.3, we show plots
for two representative problems (P2 and P10) selected from all 26 problems. On
the x-axis, we give the value of ?. On the y-axis, we give the percent above the
baseline solution for the total routing distance of the IPH-RCS solution. The base-
line solution is the IPH solution (? = 0) given in Table 5.3. In Figure 5.3(a), there
is an ordered pair adjacent to each plotted point that gives the number of one-day
customer reassignments and the number of two-day customer reassignments for the
IPH-RCS solution (in P2 only one-day and two-day customers can be reassigned).
To illustrate in Figure 5.3(a), when ? = 0 (baseline solution), there are 14 one-day
customers and 13 two-day customers that have been reassigned from the initial so-
lution. When ? = 0.001, the solution generated by IPH-RCS is 1.05% above the
baseline solution. There are nine one-day customers and eight two-day customers
that have been reassigned from the initial solution. In Figure 5.3(b), there is an
ordered triple adjacent to each plotted point that gives the number of one-day, two-
day, and three-day customer reassignments for P10. To illustrate, for P10 when
? = 0 (baseline solution), there are 32 one-day customers, 30 two-day customers,
and 11 three-day customers that have been reassigned from the initial solution.
In Figure 5.3(a), we see the basic shape of a step graph. At each value of ?,
IPH-RCS reassigns customers. The total routing distance of a solution is approxi-
106
0 0.002 0.004 0.006 0.008 0.01 0.0120
2
4
6
8
10
12
14
16
18
20
Percent
above
baseline
solution
(14, 13)
(0, 0)
(3, 3)(3, 3)
(4, 3)(4, 3)(4, 3)
(9, 8)
(7, 5) (5, 4) (5, 4)
(5, 3)
(a)
Reassignment penalty fraction
50 customers
5 days in period
Problem P2
0 0.002 0.004 0.006 0.008 0.01 0.0120
5
10
15
20
25
30
35
40
(0, 0, 0)(0, 0, 0)(0, 0, 0)(0, 0, 0)(0, 0, 0)
(1, 2, 1)
(9, 7, 1)
(17, 8, 3)
(26, 14, 7)(32, 30, 11)
Percent
above
baseline
solution (8, 3, 1)
Reassignment penalty fraction
(b)
100 customers
5 days in period
Problem P10
Figure 5.3: The percent above baseline solutions changes as the customer reassign-
ment penalty fraction (?) is varied for problems P2 and P10 with soft reassignment
constraints.
107
mately the same until we reach a value of ? that causes the number of reassigned
customers to decrease and the total routing distance to increase a step.
In Figure 5.3(b), the step-function shape is less pronounced. We see a steady
incline until no reassignments are made and the solutions level off at approximately
26% above the baseline solution. In our experience, the shapes of the plots given in
Figure 3 reflect the type of behavior we have seen in other benchmark problems.
Based on Figure 5.3, it would be easy for a routing manager to determine the
solution that represents the best tradeoff between distance and disruption. For P2,
a manager might decide that a solution with five one-day customer reassignments
and four two-day customer reassignments (5, 4) is the ideal choice. This solution
has a travel distance that is only 2.85% above the travel distance of the baseline
solution and yet it requires one-third the number of reassignments.
5.4.1.4 Restricted Reassignment Constraints
Customers visited only once during the time period are generally the least
costly to reassign and the least inconvenienced by reassignments [62]. Because of
this, it is worthwhile to consider the PVRP in which multi-day customers are fixed
to their initial patterns and one-day customers are allowed to be reassigned. We call
this problem the PVRP with restricted reassignment constraints (PVRP-RCR).
To model the PVRP-RCR, we set the decision variable wik = 0 for all multi-
day customers i and all k ? ? in the IIP. We apply IPH to this model and denote
this heuristic IPH-RCR.
108
We want to examine how solutions with restricted reassignment constraints
compare to solutions in which we can reassign a fixed number of customers. We
selected a representative set of 10 problems and applied IPH-RCR to each problem.
We tracked the number of customers reassigned (?) from the initial solution S? to
the final solution. Using the same initial solution as in IPH-RCR, we run IPH-RCH
with the reassignment limit W set at ?. The computational results are given in
Table 5.8.
In Table 5.8, we see that the solutions produced by IPH-RCH are better than
the solutions produced by IPH-RCR for all 10 problems. The ability to reassign
multi-day customers as well as one-day customers is highly desirable in an algorithm.
For example, in Problem P2, by allowing only one-day customers to be reassigned,
the final solution produced by IPH-RCR is 10.27% above the baseline (IPH) solution
(10 customers are reassigned). If we allow any 10 customers to be reassigned, the
solution is 6.75% above the baseline solution (four one-day customers and six multi-
day customers are reassigned). By allowing multi-day customers to be reassigned,
in all 10 problems, IPH-RCH does much better on average (3.30%) than IPH-RCR
(5.38%) which allows only one-day customers to be reassigned. This type of analysis
could be very useful to a routing manager seeking a high-quality solution that tries
to improve a current solution while minimizing disruption.
109
Table 5.8: Results from the IPH-RCR and IPH-RCH on 10 PVRP-RCs.
Problem N P W IPH IPH-RCR IPH-RCH
P2 50 5 10 1334.11 1471.09 1424.22
P5 75 5 21 2064.62 2167.67 2161.07
P8 100 5 25 2054.25 2212.91 2160.38
P11 131 5 70 781.68 811.67 800.17
P12 163 5 110 1266.39 1311.17 1291.61
P18 76 4 26 3215.43 3308.77 3289.77
P23 168 4 55 6683.29 6936.54 6782.89
P25 51 6 31 3817.08 4041.72 3944.48
P29 102 6 61 22668.10 23686.57 23062.03
P31 153 6 81 77293.61 82200.85 79705.58
Average 5.38 3.30
Deviation1
1 Deviation is 100[(Solution / IPH Solution) ? 1]%.
5.4.2 The PVRP with Balance Constraints
In practice, routing managers try to generate routes that minimize distance
and have a balanced workload (e.g., number of customers serviced) among drivers.
They are willing to consider longer routes if the workload across the fleet of vehicles
is evenly distributed [62]. Motivated by this industry consideration, we model the
period vehicle routing problem with balance constraints (PVRP-BC).
In the PVRP with balance constraints (PVRP-BC), we try to improve the
routes of a solution S?, while penalizing imbalance. That is, we seek to minimize
summationtext
t?T
summationtext
r?Rt
summationtext
e?E(r) ce + ?(U ? L) . The first term is the routing distance. The
second term gives the imbalance penalty term, where ? is a constant scalar, U is
the largest number of customers on a route in a solution, and L is the smallest
number of customers on a route in a solution. We use the number of customers on
a route to measure balance. In practical routing applications such as commercial
110
sanitation, the number of customers on a route is the main determinant of workload
[29]. We point out that we could model the PVRP-RC and the PVRP-BC together.
We could constrain the number of reassignments (using any of the constraints in
Section 5.4.1) and account for route balance simultaneously.
We modify the IIP to model the PVRP-BC. We add decision variables U and
L, the parameter ?, and use the new objective function:
maximize summationdisplay
i?V
summationdisplay
t?T
(cp(i)i +cis(i) ?cp(i)s(i))yit
?summationdisplay
i?V
summationdisplay
j?V
summationdisplay
t?T
(cp(j)i +cij ?cp(j)j)xijt ??(U ?L). (22)
Let N(r) be the number of customers on route r. We add the constraints
summationdisplay
i?V
summationdisplay
j on r
xijt ? summationdisplay
i on r
yit +N(r) ? U ?t ? T,?r ? Rt (23)
summationdisplay
i?V
summationdisplay
j on r
xijt ? summationdisplay
i on r
yit +N(r) ? L ?t ? T,?r ? Rt. (24)
In (22), we maximize total savings from reassigning and rerouting customers
minus the penalty from the route imbalance incurred. In (23) and (24), we ensure
that a route has at most U customers and at least L customers.
Using this modified IIP, we apply IPH to solve the PVRP-BC. In solving daily
VRPs, we do not allow moves in ERTR that result in routes with more than U
customers or less than L customers, so that route balance is not affected. We apply
customer removal and reinsertion with our modified IIP. We denote this heuristic
by IPH-BC.
In computational experiments, we ran IPH-BC using two types of initial so-
lutions. First, we used an initial solution that is well-balanced, that is, U ? L is
minimized. To obtain a well-balanced initial solution, we applied the balance routine
given in Table 5.9 to each day of the solution generated by the procedure described
111
Table 5.9: A routine for balancing the routes on a given day.
R = current set of routes
rmax = the route in R with the largest number of customers
U = number of customers on rmax
L = smallest number of customers on a route in R
?R = set of routes from which a customer has been removed
Set ?R = ?
While (U ?L > 1)
Add rmax to ?R
For each customer i on rmax and each customer j on each route of R/?R
Calculate the cost of removing i from rmax and inserting it immediately prior to j
Store as the best move if it is feasible and has a new smallest cost
End-For
If no feasible move was found break from the loop
Else make the best move found above
Update rmax,U and L
End-While
Return R
in Section 5.3.1. The balance routine minimizes imbalance by moving customers
from routes with many customers to routes with few customers. In all our compu-
tations, this routine returned a solution in which U ? L was minimized. That is,
U ? L = 0 if the number of vehicles evenly divided the number of customers, and
U ? L = 1, otherwise. Second, we used the IPH solution as an initial solution (in
this solution, travel distance is nearly minimized). We set the value of the imbalance
penalty scalar ? equal to ?C, where ? is the imbalance penalty fraction and C is
the cost of the initial solution.
We are interested in studying how the total routing distance of a solution
generated by IPH-BC changes as the value of ? is varied. In Figure 5.4, we show
plots for two representative problems (P2 and P10) from all 26 problems. We used
maximally balanced initial solutions (U ?L is minimized). On the x-axis, we give
the value of ?. On the y-axis, we give the percent above the baseline solution for the
112
total routing distance of the solution generated by IPH-BC. The baseline solution
is the solution obtained when ? = 0 (1355.27 for P2 and 1731.99 for P10). The
baseline solution is different from the IPH solution because we start from a different
(maximally balanced) initial solution. In Figure 5.4, we give the imbalance measure
(U ? L) in parentheses next to each plotted point. To illustrate, for problem P2,
when ? = 0 (baseline solution) the route imbalance is six customers. When ? = .01,
the solution produced by IPH-BC is 3.07% above the baseline solution and the route
imbalance is two customers.
In Figure 5.5, we show plots of P2 and P10 using the solutions generated by
IPH as the initial solutions (these are also the baseline solutions).
In Figure 5.4(a), we see the basic shape of a step function. At each value
of ?, IPH-BC generates a solution with a specific route imbalance measure. The
total routing distance of a solution is approximately the same until we reach a value
of ? that causes the route imbalance measure to decrease and the total routing
distance to increase a step. In Figure 5.4(b) and Figure 5.5(a), we see the basic
shape of a step function with a single step. The solutions generated by IPH-BC
quickly become maximally balanced as ? increases (i.e., U ? L is minimized for
relatively small values of ?.) In Figure 5.5(b), the shape is not obvious. We see that
the solution generated by IPH-BC with ? = .02 has a smaller deviation from the
baseline solution (.11%) and a smaller route imbalance measure (2) than the solution
with ? = .005 (deviation is .34% and route imbalance measure is 4). This type of
behavior can occur because IPH-BC is a heuristic procedure and not an optimal
algorithm. In our experience, the shapes of the plots given in Figure 5.4 and Figure
113
5.5(a) reflect the type of behavior we have seen in other benchmark problems, while
the shape of the plot in Figure 5.5(b) is atypical.
Based on Figures 5.4 and 5.5, it would be easy for a routing manager to deter-
mine the solution that represents the best tradeoff between distance and balance.
For example, if a manager were presented with Figure 5.4(a), the solution with
? = 0.01, an imbalance measure of 2, and a travel distance about 3% above the
travel distance of the baseline solution might be the ideal choice in practice. This
type of analysis could be very useful when trying to find a good compromise between
distance and route balance.
5.5 Conclusions
We developed a new heuristic for the PVRP that combined integer program-
ming and an enhanced version of the record-to-record travel algorithm. When ap-
plied to standard benchmark PVRPs, our heuristic produced results that were very
accurate and were better on average than the results for four algorithms reported
in the literature.
We formulated new variants of the PVRP that tried to reassign customers
to new routes to improve solutions or achieve a balanced workload. By varying
the value of a simple reassignment or imbalance parameter, it would be easy for a
routing manager to develop routes that are cost effective and balanced in practice.
114
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
1
2
3
4
5
6
7
8
9
10
(6)
(5)
(2) (2)
(1) (1)
(1)
Percent
above
baseline
solution
Imbalance penalty fraction
(2)
(a)
50 customers
5 days in period
Problem P2
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
1
2
3
4
5
6
7
8
9
10
Percent
above
baseline
solution
(9)
(1)
(1)
(1)
(1)
(1)
(1)
Imbalance penalty fraction
(5)
(b)
100 customers
5 days in period
Problem P10
Figure 5.4: The percent above baseline solutions changes as the balance penalty frac-
tion (?) is varied for problems P2 and P10 with balance constraints and maximally
balanced initial solutions.
115
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
(a)
Percent
above
baseline
solution
Imbalance penalty fraction
(1) (1) (1) (1) (1)
(6)
(3)
(3)
50 customers
5 days in period
Problem P2
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Imbalance penalty fraction
(b)
Percent
above
baseline
solution
(6)
(4)
(2)
(2)
(1)
(1)
(1)
(1)
Problem P10
100 customers
5 days in period
Figure 5.5: The percent above baseline solutions changes as the balance penalty
fraction (?) is varied for problems P2 and P10 with balance constraints and IPH
initial solutions.
116
5.6 Appendix I
We present the IIP formulation using the example given in Figure 5.1 as the
initial solution. In indexing the w variables, we let schedule 1 be {1}, schedule 2 be
{2} and schedule 3 be {1,2}. To allow customers to be moved immediately prior to
the depot at the end of a route, we create a dummy customer (node 4) in the same
location as the depot, and insert it into our initial solution at the end of the route
on each day. We do not allow this customer to be moved. Variables that are set to
0 in constraints (17)?(19) are omitted from the formulation below.
maximize (c01 +c12 ?c02)y11 + (c01 +c13 ?c03)y12 + (c21 +c20 ?c10)y21
+ (c31 +c30 ?c10)y32 ?(c02 +c21 ?c01)x212 ?(c12 +c23 ?c13)x232
?(c32+c24?c34)x242?(c03+c31?c01)x311?(c13+c32?c12)x321?(c23+c34?c24)x341
subject to
y11 +y12 = x121 +x131 +x141 +x122 +x132 +x142
y21 +y22 = x211 +x231 +x241 +x212 +x232 +x242
y31 +y32 = x311 +x321 +x341 +x312 +x322 +x142
x212 +x232 +x242 ? w22
x311 +x321 +x341 ? w31
x121 +x131 +x141 ? y11
x122 +x132 +x142 ? y12
x211 +x231 +x241 ? y21
x312 +x322 +x342 ? y32
w22 ? x212 +x232 +x242
w31 ? x311 +x321 +x341
q3x311 +q3x321 +q3x341 ?q1y11 ?q2y21 ? Q1
q2x212 +q2x232 +q2x242 ?q1y12 ?q2y32 ? Q2
y11 +x211 +x311 ? 1
y12 +x212 +x312 ? 1
y21 +x121 +x321 ? 1
y32 +x232 +x132 ? 1
117
y11 +x121 +x321 ? 1
y12 +x232 +x132 ? 1
y11 +y21 ? 1
y12 +x32 ? 1
w22 ? 1
w31 ? 1
xijt = 0,1 for i,j = 1,2,3,4 t = 1,2
yit = 0,1 for i = 1,2,3,4 t = 1,2
wik = 0,1 for i = 1,2,3,4 k = 1,2,3
In this example, constraints (11) and (17)-(19) are not applicable, so they are
omitted. The residual capacities for the routes on day 1 and day 2 are given by
Q1 = 10 and Q2 = 10. The distances are symmetrical and given by c01 = c12 =
c23 = c03 = c14 = c34 = 5, c02 = c13 = c24 = 7, and c04 = 0. The objective function
is given by
maximize 3y11 +7y12 +7y21 +7y32 ?7x212 ?3x232 ?7x242 ?7x311 ?7x321 ?3x341 .
The objective function is maximized when x232 = y21 = w22 = 1 and all other
decision variables are 0. A maximum savings of four units is produced by reassigning
customer 2 to pattern 2, removing it from its route on day 1, and inserting it
immediately prior to customer 3 on day 2. This solution is given in Figure 5.2.
5.7 Appendix II
Let S? be the initial solution and S the current solution. Let customer i be
assigned to pattern ?? in S? and pattern ? in S. In Table 5.10, we give the possible
savings attained by reassigning customer i from its current pattern (?) to a new
118
pattern (k) in IPH-RCS. That is, we give the savings attained when wik = 1 in (21).
There are four possibilities. 1) If customer i is assigned to pattern k in S? and in
S (?? = ? = k), then no savings are possible. Customer i cannot be reassigned
to pattern k because k is i?s current service pattern. 2) If customer i is assigned
to the same pattern in S? and S, and this pattern is not k (?? = ? negationslash= k), then
reassigning customer i to pattern k gives a savings of ?pi. We are penalized for
moving customer i from its initial pattern (??) to a new pattern (k). 3) If customer
i is assigned to pattern k in S? and not in S (?? = k negationslash= ?), then reassigning customer
i to pattern k gives a savings of pi. We are rewarded for moving customer i from
its current pattern (?) back to its initial pattern (k). 4) If customer i is assigned
to different patterns in S? and S, and customer i is not assigned to pattern k in S?
(?? negationslash= ? and ?? negationslash= k), then there is no reward and no penalty for reassigning customer
i to pattern k.
Table 5.10: Savings from reassigning customer i to pattern k in IPH-RCS.
Is customer i assigned to pattern k in S??
Yes No
(?ik = 1) (?ik = 0)
Is customer Yes 1) ?ik ??i = 0 2) ?ik ??i = ?1
i assigned (?i = 1) No savings Savings of ?pi
to the same
pattern in No 3) ?ik ??i = 1 4) ?ik ??i = 0
S? and S? (?i = 0) Savings of pi No savings
119
Chapter 6
The Vehicle Routing Problem
6.1 Introduction
In the vehicle routing problem (VRP), a fleet of vehicles must service the
demands of customers. All vehicles begin and end their routes at the same depot.
The sum of the demands of the customers on a route cannot exceed a vehicle?s
capacity. The total cost of a route cannot exceed the maximum cost. A customer
must have all of its demand delivered at one time by a single vehicle. The objective
is to minimize the total distance traveled by the fleet.
Let V = {v1,...,vN} be the set of customers and let v0 be the depot. Let K
be the number of available vehicles in the fleet. Let qi be the demand of customer
i that must be serviced by a vehicle and let Q be the capacity of a vehicle. Let the
distance between a pair of nodes e = (i,j) be denoted by ce (or cij). Let the travel
cost between a pair of nodes be the distance between them. Let ci be the cost of
servicing customer i. Let C be the maximum route cost. Given route r, let V(r) be
the set of nodes and E(r) the set of travel edges on route r. We want to find a set
R of no more than K routes such that
? route r begins and ends at v0, for all r ? R (a route starts and ends at the
depot),
120
5
1
4
3
3
1
2
1
1
1
3
Depot
2
3
7
1
6
Figure 6.1: In this VRP instance, all customers have demand 1 and service cost 1.
Edge labels are distances. The vehicle capacity is 5 and the maximum route cost is
15. The total distance traveled is 16 units.
? i ? V(r), for some r ? R, for all i ? V (each customer is serviced),
? summationtexti?V(r) qi ? Q, for all r ? R (vehicle capacity restriction),
? summationtexte?E(r) ce +summationtexti?V(r) ci ? C, for all r ? R (maximum cost restriction), and
? minimize summationtextr?Rsummationtexte?E(r) ce (total distance traveled across all routes is mini-
mized).
In Figure 6.1, we give a VRP instance with seven customers (nodes 1 through
7). Each customer has demand 1 and service cost 1. The edge labels represent
distances between nodes. The vehicle capacity is 5 and the maximum route cost is
15. There are two routes in the solution. The total distance traveled is 16 units.
We review the literature for the VRP in Section 6.2. In Section 6.3, we develop
an integer programming-based heuristic for the VRP. In Section 6.4, we describe a
heuristic for the VRP developed by Gro?er, Golden, and Wasil [50]. In Section
121
6.5, we report and discuss results from a computational experiment. We give our
conclusions in Section 6.6.
6.2 Literature Review of the VRP
The literature for the VRP dates back over 50 years. Since 1954, there have
been more than 1,000 papers on the VRP published in refereed journals, nearly half
of which appeared in the last 10 years [36]. Many heuristics have been developed
for the VRP. Two early heuristics are by Clarke and Wright [25] and Christofides
and Eilon [23]. In the mid-1990s, Rochat and Taillard [79] used local search for the
VRP. Recently, Li, Golden, and Wasil [63] and Mester and Br?aysy [68] considered
VRPs with many customers. Gro?er, Golden, and Wasil [50] used parallel computing
to obtain high-quality solutions to the VRP.
Researchers have explored many variants of the VRP, including the multi-
depot VRP [18, 26, 78], the split delivery VRP [6, 20, 33, 34], the period VRP
[1, 19, 26, 54], and the VRP with time windows [39, 67, 85].
The book edited by Golden, Raghavan, and Wasil [46] is a good source for
recent developments in modeling and solving VRPs. A recent taxonomical review
of the VRP is provided in the paper by Eksioglu, Vural, and Reisman [36].
122
6.3 An Integer Programming-based Heuristic for the VRP
6.3.1 Generating and Improving an Initial Solution
We describe a heuristic for the VRP. First, we generate an initial solution
using a modified Clarke-Wright (CW) savings algorithm [95]. In the modified CW
algorithm, the savings from merging two routes at customers u and v is given by
cus1(u) + cp1(v)v ? ?cuv, where p1(i) and s1(i) denote the predecessor and successor
of customer i on a route, respectively. We run the modified CW algorithm with
three different ? values (based on our testing, we use ? = 0.6,1.4,1.6) and use the
best solution (the solution with the smallest total distance traveled) as our initial
solution S.
To improve S, we formulate and solve an integer program (IP) in which strings
of one, two, or three consecutive customers are relocated in a way that reduces the
total distance traveled.
For each customer i on a route r in S, let pk(i) be the k-th predecessor of
i on r. That is, p1(i) is the predecessor of i, p2(i) is the predecessor of p1(i),
and so on. Similarly, let sk(i) be the k-th successor of i on r. In the IP, for
customer i, we have three possibilities for relocation: 1) move customer i to a new
location immediately prior to customer j, 2) move customers i and s1(i) immediately
prior to customer j, and 3) move customers i, s1(i), and s2(i) immediately prior to
customer j. The net savings associated with the three possible relocations are: 1)
(cp1(i)i +cis1(i) ?cp1(i)s1(i))?(cp1(j)i +cij ?cp1(j)j), 2) (cp1(i)i +cs1(i)s2(i) ?cp1(i)s2(i))?
(cp1(j)i+cs1(i)j?cp1(j)j), and 3) (cp1(i)i+cs2(i)s3(i)?cp1(i)s3(i))?(cp1(j)i+cs2(i)j?cp1(j)j).
123
We note that relocations 2) and 3) may not be possible for all customers. For
example, if the successor of customer i is the depot, then neither relocation 2) nor
relocation 3) is possible.
In Figure 6.2, we show the three possible relocations. In Figure 6.2(a), we
show the two routes of the initial solution. In Figure 6.2(b), customer 1 has been
relocated immediately prior to customer 6. The associated savings is (cd1 + c12 ?
cd2)?(cd1 +c16 ?cd6), where d represents the depot. In Figure 6.2(c), customers 1
and 2 have been relocated immediately prior to customer 6. The associated savings
is (cd1 + c23 ? cd3) ? (cd1 + c26 ? cd6). In Figure 6.2(d), customers 1, 2, and 3
have been relocated immediately prior to customer 6. The associated savings is
(cd1 +c34 ?cd4)?(cd1 +c36 ?cd6).
In order to find the optimal relocations of strings of customers across all routes,
we formulate an improvement IP (VIIP) for an initial VRP solution.
Let V be the set of customers. Let q0i be the demand and c0i the service cost
of customer i ? V. Let q1i = q0i + q0s1(i), q2i = q0i + q0s1(i) + q0s2(i), c1i = c0i + c0s1(i), and
c2i = c0i +c0s1(i) +c0s2(i). Let ?0i = cp1(i)i +cis1(i) ?cp1(i)s1(i) be the savings of removing
and relocating customer i. Let ?1i = cp1(i)i + cs1(i)s2(i) ? cp1(i)s2(i) be the savings of
removing and relocating customers i and s1(i). Let ?2i = cp1(i)i +cs2(i)s3(i)?cp1(i)s3(i)
be the savings of removing and relocating customers i, s1(i), and s2(i).
Let ?0ij = cp1(j)i + cij ?cp1(j)j be the cost of inserting customer i immediately
prior to customer j. Let ?1ij = cp1(j)i+cs1(i)j?cp1(j)j be the cost of inserting customers
i and s1(i) immediately prior to customer j. Let ?2ij = cp1(j)i +cs2(i)j ?cp1(j)j be the
cost of inserting customers i, s1(i), and s2(i) immediately prior to customer j.
124
Depot
5
3
2
1 6
7
Depot
5
4
3
2
1 6
7
4
Relocate customer 1 immediately
prior to customer 6
(a) (b)
Initial solution
Depot
5
4
3
1
7
Depot
5
4
3
7
6
2
1
2
6
Relocate customers 1, 2, and 3
immediately prior to customer 6immediately prior to customer 6
Relocate customers 1 and 2
(d)(c)
Figure 6.2: Three customer relocations.
Let V0 be the subset of V containing the customers with the largest savings
from removal. That is, V0 is the set of the K0 customers i for which ?0i is the largest,
where K0 is a preset parameter. Similarly, let V1 be the set of the K1 customers i
for which ?1i is the largest, and let V2 be the set of the K2 customers i for which
?2i is the largest. To reduce the number of variables and constraints in the VIIP
so that it can be solved in a reasonable run time, we only allow customer i to be
125
relocated if i ? V0. We only allow customers i and s1(i) to be relocated if i ? V1,
and we only allow customers i, s1(i), and s2(i) to be relocated if i ? V2. Strings of
customers given by V0,V1, and V2 are called candidates for relocation.
Let V0(i) be the neighborhood of customer i. That is, V0(i) is the set of the L0
customers j for which ?0ij is the smallest, where L0 is a preset parameter. Similarly,
let V1(i) be the set of the L1 customers j for which ?1ij is the smallest, and let
V2(i) be the set of the L2 customers j for which ?2ij is the smallest. To reduce the
number of variables and constraints in the VIIP, we consider relocating customer i
immediately prior to customer j only if j ? V0(i). We consider relocating customers
i and s1(i) immediately prior to customer j only if j ? V1(i), and we consider
relocating customers i, s1(i), and s2(i) immediately prior to customer j only if
j ? V2(i).
The set of routes is given by R. The residual capacity of route r ? R (vehicle
capacity minus total demand serviced on r) is given by Qr, and the residual cost of
route r (maximum route cost minus cost of r) is given by Cr.
The decision variables of the VIIP are defined as follows. Let x0ij = 1 if we
insert customer i immediately prior to customer j, and 0 otherwise; x1ij = 1 if
we insert customers i and s1(i) immediately prior to customer j, and 0 otherwise;
x2ij = 1 if we insert customers i, s1(i), and s2(i) immediately prior to customer j,
and 0 otherwise; y0i = 1 if we relocate customer i, and 0 otherwise; y1i = 1 if we
relocate customers i and s1(i), and 0 otherwise; and y2i = 1 if we relocate customers
i, s1(i), and s2(i), and 0 otherwise.
The VIIP formulation is given by (1)?(14) below.
126
maximize summationdisplay
i?V
(?0iy0i +?1iy1i +?2iy2i)?(summationdisplay
j?V
?0ijx0ij +?1ijx1ij +?2ijx2ij) (1)
subject to
summationdisplay
j on R
(summationdisplay
i?V
q0ix0ij +q1ix1ij +q2ix2ij)?(q0jy0j +q1jy1j +q2jy2j) ? Qr ?r ? R (2)
summationdisplay
j on R
parenleftBiggsummationdisplay
i?V
(?0ij +c0i)x0ij + (?1ij +cis1(i) +c1i)x1ij + (?2ij +cis1(i) +cs1(i)s2(i) +c2i)x2ij
parenrightBigg
?
parenleftBig
(?0j +c0j)y0j + (?1j +cjs1(j) +c1j)y1j + (?2j +cjs1(j) +cs1(j)s2(j) +c2j)y2j
parenrightBig
? Cr
?r ? R (3)
summationdisplay
i?V
x0ij +x1ij +x2ij +y0j +y0p1(j) +y1j +y1p1(j) +y1p2(j) +
y2j +y2p1(j) +y2p2(j) +y2p3(j) ? 1 ?j ? V (4)
summationdisplay
j?V
x0ij = y0i ?i ? V (5)
summationdisplay
j?V
x1ij = y1i ?i ? V (6)
summationdisplay
j?V
x2ij = y2i ?i ? V (7)
y0i = 0 ?i negationslash? V0 (8)
y1i = 0 ?i negationslash? V1 (9)
y2i = 0 ?i negationslash? V2 (10)
x0ij = 0 ?j negationslash? V0(i),?i ? V (11)
x1ij = 0 ?j negationslash? V1(i),?i ? V (12)
x2ij = 0 ?j negationslash? V2(i),?i ? V (13)
x0ij,x1ij,x2ij,y0i,y1i,y2i ? {0,1} ?i,j ? V (14)
The objective function (1) gives the net savings attained by relocating strings
of one, two, and three consecutive customers. In constraints (2), we ensure that
the amount of demand relocated to a route minus the amount of demand relocated
127
from a route does not exceed the residual capacity of the route. In constraints (3),
we ensure that the net increase in the length of a route due to relocations does not
exceed the residual length of the route. In constraints (4), if we relocate a string
of customers immediately prior to customer j, then we do not remove any string
of customers containing j or p1(j). Also, we do not insert more than one string of
customers immediately prior to customer j, and we remove either j or p1(j) but not
both. Constraints (4) ensure the objective value accurately reflects the savings, as
the coefficients in the objective function depend on j and p1(j). In constraints (5)?
(7), we relocate a string of customers if and only if we insert it immediately prior
to some other customer. In constraints (8)?(13), we allow a string of customers
starting at i to be moved immediately prior to j only if the string is a candidate for
relocation and j is in the appropriate neighborhood of i. Constraints 14 ensure all
decision variables are 0 or 1.
We apply the VIIP to the solution given in Figure 6.1 and show the improved
solution in Figure 6.3. A savings of two units is achieved by relocating customers 1,
2, and 3 immediately prior to customer 6.
6.3.2 Customer Removal and Reinsertion
Given a current solution S, we apply the VIIP repeatedly. We stop when
either i) there is no improvement in the current iteration, or ii) the improvement is
less than a minimum value and S is not within a maximum deviation of the record
(best) solution. Rule ii) allows us to exit an iteration in which we are unlikely to
128
5
1
4
3
1
2
1
1
1
3
Depot
2
7
1
6
2
2
Figure 6.3: By applying the VIIP to the solution in Figure 6.1, we decrease the
distance traveled from 16 units to 14 units.
find a new record solution. Next, we re-initialize S by removing some customers of
S and reinserting them elsewhere. This allows us to explore the solution space from
a different (new) solution.
For each customer i, we remove i from its route in S with probability p. Let
W be the set of customers removed from S. For each customer i ? W and each
customer j on a route in S, we determine whether or not inserting i immediately
prior to j is feasible. If it is, we record the insertion cost cp1(j)i + cij ? cp1(j)j. We
then insert i randomly immediately prior to one of the three customers (j1, j2, or
j3) that give the three smallest insertion costs. If customer i cannot be feasibly
reinserted anywhere, we create an out-and-back route from the depot to customer
i. This might cause the number of routes of the solution to exceed the number
of available vehicles. In our computational experiment, this happened very rarely
and, when it did, our heuristic moved the customer on the out-and-back route to a
different route in subsequent iterations.
129
Table 6.1: The VIPH algorithm for the VRP.
S = current solution, maxRecord = 50, pi1 = .5, pi2 = .3, pi3 = .2
runTime = the current number of seconds elapsed in the algorithm?s execution
minImprove = .05%, maxDeviation = .05%
Set the VIIP time limit to 30 seconds
If (number of customers N is at most 120)
Set candidate sizes L0 = L1 = L2 = N
Set neighborhood sizes K0 = K1 = K2 = 25
Set run-time limit maxTime to 400 seconds
Set removal probability p = .3
Else
L0 = ?.75N?, L1 = L2 = ?.5N?
K0 = K1 = K2 = 15
maxTime = 800, p = .15
End If-Else
Set recCntr = 0 (number of iterations since the last record solution was found)
Generate initial solution S, set best solution S? = S
Repeat
Repeat
Apply the VIIP to S
If (improvement of S < minImprove) and (deviation of S from S? > maxDeviation)
Break Repeat-Until
Until (no improvement of S is achieved )
Update S? and set recCntr = 0 if necessary, otherwise recCntr = recCntr + 1
For customer i = 1 to N
Remove customer i from its route in S with probability p
Add i to set W if i is removed from S
End-For
For each customer i ? W
Find three smallest feasible insertion spots j1, j2, j3
Insert i immediately prior to jx with probability pix
If (no feasible insertion for i), create out-and-back route for i
End-For
Until (recCntr > maxRecord) or (runTime > maxTime)
Return S?
After performing this re-initialization step, we again apply the VIIP. We repeat
this process until a stopping condition is reached and return the best solution. We
set a run-time limit for each execution of the VIIP. If the VIIP is not solved optimally
when the run-time limit is reached, the best solution that was found is returned.
The details of our integer programming-based heuristic (VIPH) for the VRP are
given in Table 6.1.
130
6.4 The Enhanced Record-to-record Travel Algorithm
We describe the enhanced record-to-record travel algorithm (ERTR). ERTR is
a heuristic for the VRP developed by Gro?er, Golden, and Wasil [50]. We will com-
pare the results produced by VIPH to those produced by ERTR in a computational
experiment (Section 6.5).
ERTR is a modified version of the variable length record-to-record travel al-
gorithm (VRTR) developed by Li, Golden, and Wasil [63]. VRTR improves an
initial solution by performing one-point and two-point node exchanges, as well as
two-opt edge exchanges. ERTR considers additional moves such as three-point node
exchanges and Or-opt edge exchanges. Uphill moves are allowed when a solution is
within a preset tolerance of the record solution. In ERTR, three initial solutions are
generated using the modified CW algorithm [95]. The initial solutions are improved
and the best solution of the three is returned. The details of ERTR are given in
Table 6.2.
6.5 Computational Experiment with VIPH
We applied both VIPH and ERTR to 15 benchmark problems (VRP1-VRP15)
originally proposed by Christofides and Eilon [23] and Golden et al. [48]. These
problems vary in size from 50 customers to 240 customers. They are available at
www.rhsmith.umd.edu/faculty/bgolden/vrp data.htm. Both algorithms were coded
using Visual C++ and run on the same machine with a 3.0 GHz Pentium 4 processor
and 512MB of RAM. The IPs in VIPH were solved with ILOG CPLEX 10.0.
131
Table 6.2: Enhanced record-to-record travel algorithm.
?1 = .6, ?2 = 1.4, ?3 = 1.6, deviation = 1%, count = 0, maxCount = 10, A = 70
For x = 1 to 3
S = modified Clarke-and-Wright solution with parameter ?x
Initialize the record for this iteration, S? = S
Uphill:
For a = 1 to A
Apply each of one-point moves, two-point moves, and three-point moves
Apply both two-opt edge exchanges and OR-opt edge exchanges
Update S if result is within deviation of cost of S?
Update S? if necessary
End-For
Downhill:
Apply both two-opt edge exchanges and OR-opt edge exchanges
Apply each of one-point moves, two-point moves, and three-point moves
If (cost decreases), update S and go to Downhill
Else Update S? if necessary, otherwise count = count+ 1
If (count < maxCount) go to Uphill
Perturb solutions once and go to Uphill
End-For
Return the best S? from the three iterations
In Table 6.3, we give our computational results. In column one, we give the
problem number. In columns two and three, we give the number of customers (N)
and the number of vehicles (K). In column four, we give the service cost (c) of a
customer. In each problem, the service cost is the same for all customers (ci = c
for all i). Columns five and six give the maximum route cost (C) and the vehicle
capacity (Q). In columns six through ten, we give solution values and run times for
VIPH and ERTR.
In Table 6.3, we see that ERTR performed better than VIPH. ERTR generated
the best solutions to 14 of 15 problems (there are four ties). VIPH generated the
best solution to one problem (VRP9). On average, VIPH was 1.05% above the best
solution generated by the two algorithms. For ERTR, the average deviation was
0.01%. ERTR was more than 10 times faster than VIPH on average (30.46 seconds
132
Table 6.3: Computational results for VIPH and ERTR on 15 VRPs.
VIPH Run ERTR Run
Problem N K c C Q Solution Time (s) Solution Time (s)
VRP1 50 5 0 ? 160 524.61 115.97 524.61 5.94
VRP2 75 10 0 ? 140 848.57 425.27 844.88 10.36
VRP3 100 8 0 ? 200 840.73 406.98 827.39 24.49
VRP4 150 12 0 ? 200 1058.81 803.25 1036.57 33.72
VRP5 199 17 0 ? 200 1340.70 875.59 1315.71 44.19
VRP6 50 6 10 200 160 560.24 144.83 558.99 5.92
VRP7 75 11 10 160 140 909.68 403.21 909.68 13.28
VRP8 100 9 10 230 200 900.84 416.09 867.41 18.38
VRP9 150 14 10 200 200 1170.01 829.21 1170.90 40.83
VRP10 199 18 10 200 200 1432.83 881.50 1412.97 85.48
VRP11 120 7 0 ? 200 1049.96 410.60 1042.12 20.30
VRP12 100 10 0 ? 200 819.56 176.73 819.56 14.34
VRP13 120 11 50 720 200 1558.96 443.55 1546.62 30.58
VRP14 100 11 90 1040 200 866.37 406.48 866.37 15.45
VRP15 240 10 0 650 550 5801.46 632.96 5653.04 93.65
Average 1.051 491.482 0.011 30.462
1 Mean deviation (100[(Solution / Best Solution) ? 1]%)
2 Mean run time
Best solution given in bold
to 497.73 seconds).
The disparity in performance between ERTR and VIPH on these 15 problems
suggests that integer programming is not the most effective method for VRPs. In-
teger programming is inefficient in sequencing customers on a route. In the VIIP,
we are restricted to relocating strings of one, two, or three consecutive customers.
If customer i is part of a relocated string, then we cannot relocate any string of cus-
tomers containing p1(i), and we cannot insert any string of customers immediately
following p1(i). Because of these restrictions, the VIIP often cannot improve a route
even though the customers are visited in an order that is not optimal. It might take
many iterations and reinitializations of the VIIP to reorder customers on a route in
a near-optimal manner. This can be very time consuming. By contrast, a sequenc-
133
ing procedure like two-opt can reorder many customers by performing a single edge
exchange. Many possible edge exchanges can be considered in a relatively short run
time.
Integer programming seems to be most effective for multi-level routing prob-
lems with an upper level (assignment level) and a lower level (routing level). Integer
programming-based heuristics have been shown to work very well for the split deliv-
ery vehicle routing problem (SDVRP) (Chapter 3), the split-delivery vehicle routing
problem with minimum delivery amounts (SDVRP-MDA) (Chapter 3), the multi-
depot split delivery vehicle routing problem (MDSDVRP) (Chapter 4), the period
vehicle routing problem (PVRP) (Chapter 5), and the multi-depot vehicle routing
problem (MDVRP) (Chapter 7). In each of these problems, there is an assignment
level and a routing level. In the SDVRP and SDVRP-MDA, we must assign portions
of customer demands (delivery amounts) to vehicles. In the PVRP, we must assign
customers to service patterns. In the MDSDVRP and MDVRP, we must assign cus-
tomers to depots. In the heuristics for each of these problems, integer programming
is used to improve an initial solution by making distance-reducing reassignments,
and then distance is further reduced using a routing procedure. In general, the IPs
focusing on the upper level of the problem account for a substantial amount of the
improvement to a solution.
Since integer programming seems to work better on multi-level routing prob-
lems than on pure routing problems, we would expect VIPH to do better on VRPs
with small vehicle capacities relative to customer demands. For small-capacity
VRPs, the number of customers on a route will be relatively few, so sequencing
134
customers will be less important than in standard VRPs. There will be more
routes, so assigning customers to routes will be more important. For small-capacity
VRPs, the assignment (upper) level is emphasized and the routing (lower) level is
de-emphasized.
For testing, we halved the capacities of problems VRP1?VRP15 and changed
the number of vehicles, customer service costs, and maximum route costs, accord-
ingly. We applied VIPH and ERTR to the small-capacity problems (denoted VRP1-
SC?VRP15-SC). Our results are given in Table 6.4.
In Table 6.4, we see that ERTR is still better than VIPH, but the performance
of VIPH relative to ERTR is better on the small-capacity VRPs than on the standard
VRPs. VIPH finds better solutions than ERTR to four of the 15 small-capacity
VRPs and finds the same solution as ERTR once. On the standard VRPs in Table
6.3, these numbers were one and four, respectively. VIPH has a better average
deviation from the best solution on the small-capacity VRPs (0.88%) than on the
standard VRPs (1.05%). The results in Table 6.3 and Table 6.4 support the notion
that integer programming is better suited for multi-level routing problems than for
pure routing problems.
In Appendix D, we give all problems used in testing and all solutions generated
by VIPH and ERTR.
135
Table 6.4: Computational results for VIPH and ERTR on 15 small-capacity VRPs.
VIPH Run ERTR Run
Problem N K c C Q Solution Time (s) Solution Time (s)
VRP1-SC 50 10 0 ? 80 741.50 179.21 742.97 5.73
VRP2-SC 75 21 0 ? 70 1309.83 411.02 1298.85 11.95
VRP3-SC 100 16 0 ? 100 1175.96 419.26 1181.94 17.14
VRP4-SC 150 24 0 ? 100 1614.12 804.13 1580.31 41.69
VRP5-SC 199 34 0 ? 100 2099.89 818.88 2080.72 46.92
VRP6-SC 50 12 3 100 80 834.84 178.21 816.03 6.36
VRP7-SC 75 22 1 100 70 1321.00 403.47 1314.04 12.13
VRP8-SC 100 18 2 115 100 1227.02 413.45 1206.08 36.42
VRP9-SC 150 28 2 105 100 1709.95 808.76 1685.11 57.84
VRP10-SC 199 36 2 105 100 2208.18 800.52 2168.22 99.67
VRP11-SC 120 14 0 ? 100 1777.12 441.64 1763.47 23.56
VRP12-SC 100 20 0 ? 100 1374.44 179.57 1375.14 22.61
VRP13-SC 120 22 12 360 100 1780.59 431.73 1770.06 27.52
VRP14-SC 100 22 22 520 100 1374.44 400.14 1375.73 15.42
VRP15-SC 240 20 0 400 275 7764.91 805.39 7764.91 24.50
Average 0.881 499.692 0.061 29.962
1 Mean deviation (100[(Solution / Best Solution) ? 1]%)
2 Mean run time
Best solution given in bold
6.6 Conclusions
We developed a new integer programming-based heuristic for the VRP and
compared it to a record-to-record travel algorithm. When applied to benchmark
VRPs, the record-to-record travel algorithm outperformed our heuristic. Based
on the results, it seems that integer programming is better suited for multi-level
routing problems, with an assignment level and a routing level, than for pure routing
problems.
136
Chapter 7
The Multi-depot Vehicle Routing Problem
7.1 Introduction
In the vehicle routing problem (VRP), a fleet of vehicles must service the de-
mands of customers. All vehicles begin and end their routes at the same depot. The
sum of the demands of the customers on a route cannot exceed a vehicle?s capacity.
The total distance traveled by a vehicle on a route cannot exceed a maximum route
length. A customer must have all of its demand delivered at one time by a single
vehicle. The objective is to minimize the total distance traveled by the fleet.
In the multi-depot vehicle routing problem (MDVRP), there can be multiple
depots at which vehicles start and end routes. A vehicle starting a route from a
depot must end its route at the same depot. The objective is to minimize the total
distance traveled by the fleet across all depots.
Let V = {v1,...,vN} be the set of customers and let W = {w1,...,wM} be the
set of depots. Let qi be the demand of customer i that must be serviced by a vehicle,
and let Q be the capacity of a vehicle. Let the distance between a pair of nodes
e = (i,j) be denoted by ce (or cij). Let C be the maximum route length. Given
route r, let V(r) be the set of nodes and E(r) the set of travel edges on r. We want
to find a set of routes R such that
? route r begins and ends at wk, for some k ? {1,...,M}, for all r ? R (a route
137
1
Depot 1 Depot 2
(5) (7) (1) (1) (1)
(5)
2
3
5
3
1
(1)
1
(1)
4
4
1
1
(5)
2
1
2 6 5
4
3
7 8
9
Figure 7.1: In this MDVRP, there are nine customers and two depots. Node labels
in parentheses are customer demands and edge labels are distances. Vehicle capacity
is 10. Maximum route length is 10. In this solution, the total distance traveled by
three vehicles is 28.
starts and ends at the same depot),
? i ? V(r), for some r ? R, for all i ? V (each customer is serviced),
? summationtexti?V(r) qi ? Q, for all r ? R (vehicle capacity restriction),
? summationtexte?E(r) ce ? C, for all r ? R (route length restriction), and
? minimizesummationtextr?Rsummationtexte?E(r) ce (total distance traveled across all routes minimized).
In Figure 7.1, we give an MDVRP with nine customers (nodes 1 through 9)
and two depots. There are three routes with two beginning and ending at depot 1
and one beginning and ending at depot 2. The total distance traveled is 28 units.
The remainder of this chapter is organized as follows. In Section 7.2, we review
the literature on the MDVRP. In Section 7.3, we develop an integer programming-
138
based heuristic for the MDVRP and provide computational results. In Section 7.4,
we give our conclusions.
7.2 Literature Review of the MDVRP
The literature for the MDVRP dates back over 35 years. Early heuristics were
developed by Tillman and Cain [92], Wren and Holliday [94], Gillett and Johnson
[42], Golden, Magnanti, and Nguyen [45], and Raft [77]. In the 1990s, Chao, Golden,
and Wasil [18] developed a record-to-record travel algorithm for the MDVRP. Re-
naud, Laporte, and Boctor [78] and Cordeau, Gendreau, and Laporte [26] used tabu
search. Recently, Thangiah and Salhi [91] developed a genetic clustering heuristic
and Lau et al. [60] used a fuzzy logic controlled genetic algorithm. A procedure
for solving small MDVRPs exactly was developed by Laporte, Nobert, and Taillefer
[59].
Researchers have explored several variants of the MDVRP. Salhi and Nagy [82]
considered the MDVRP with pickups (backhauls) in addition to deliveries. The MD-
VRP with time windows was addressed by Giosa, Tansini, and Viera [44], Cordeau,
Laporte, and Mercier [27], and Polacek et al. [76]. Lim and Wang [64] modeled
and solved a variant of the MDVRP in which the number of routes starting and
ending at a depot cannot exceed a preset limit. Crevier, Cordeau, and Laporte [28]
considered the MDVRP with inter-depot routes.
139
7.3 An Integer Programming-based Heuristic for the MDVRP
7.3.1 Generating an Initial Solution
We describe a heuristic for the MDVRP. We generate an initial solution by
quickly finding three feasible solutions and selecting the best one (the one with the
smallest total distance traveled).
To generate a feasible solution to the MDVRP, we first assign customers to
depots using a procedure developed by Golden, Magnanti, and Nguyen [45]. Initially,
all customers are unassigned. For each customer i, we let ?i be the distance between
i and the closest depot to i and ??i be the distance between i and the second closest
depot to i. If the ratio ?i??
i
is less than a tolerance ?, then customer i is immediately
assigned to its closest depot. If ?i??
i
? ?, then i is temporarily left unassigned. In this
way, a customer that is much closer to one depot than other depots will immediately
be assigned to its closest depot. A customer that is nearly equidistant from several
depots will be assigned using cheapest insertion.
After the initial assignment phase, unassigned customers are assigned to depots
based on a cheapest insertion criterion. For each unassigned customer i and each
depot d, we calculate the cost of inserting i between each pair of customers already
assigned to d (we consider d as a customer assigned to itself). We then assign i to the
same depot as the pair giving the cheapest insertion. That is, we assign customer i
to the same depot as customers j and k where cij + cik ? cjk is the smallest value
over all pairs of customers already assigned to a depot.
After all customers have been assigned to a depot, we generate a VRP solution
140
for each depot and its assigned customers separately, using a modified Clarke?Wright
(CW) savings algorithm [95]. In the modified CW algorithm, the savings from
merging two routes at customers u and v is given by cus(u)+cp(v)v??cuv, where p(i)
and s(i) denote the predecessor and successor of customer i on a route, respectively.
We run the modified CW algorithm with three different ? values (based on our
testing, we used ? = 0.6,1.4,1.6) and use the best solution as the VRP solution.
By finding a VRP solution for each depot and its assigned customers separately, we
generate a feasible solution to the MDVRP.
We find three MDVRP solutions using different ? values (? = 0.7,0.8,0.9)
and select the best as our initial solution. We give the details of our procedure for
generating an initial solution in Table 7.1.
7.3.2 Improving a Solution Using Integer Programming
To improve an MDVRP solution S, we formulate and solve an integer program
(IP) in which strings of one, two, or three consecutive customers are relocated in a
way that reduces the total distance traveled.
For each customer i on a route r in S, let pk(i) be the k-th predecessor of i
on r. That is, p1(i) is the predecessor of i, p2(i) is the predecessor of p1(i), and
so on. Similarly, let sk(i) be the k-th successor of i on r. In the IP, for customer
i, we have three possibilities for relocation: 1) move customer i to a new location
immediately to prior to customer j, 2) move customers i and s1(i) immediately
prior to customer j, and 3) move customers i, s1(i), and s2(i) immediately prior to
141
Table 7.1: Procedure for generating an initial solution to the MDVRP.
S = current initial MDVRP solution, S? = best initial MDVRP solution
Vd = set of customers assigned to depot d (including d)
Sd = VRP solution on Vd
?i = distance between customer i and its closest depot
??i = distance between customer i and its second closest depot
?1 = .6,?2 = 1.4,?3 = 1.6,?1 = .7,?2 = .8,?3 = .9
d? = best depot
minInCost = smallest insertion cost
Set Vd = {d}, for d = 1,...,M
For (a = 1 to 3)
For (each customer i)
If (?i??
i
< ?a), add i to Vd, where d is the closest depot to i
End-For
For (each unassigned customer i)
minInCost = ?
For (each pair of customers (j,k) assigned to each depot d)
If (cij +cik ?cjk < minInCost)
minInCost = cij +cik ?cjk
d? = d
End-If
End-For
Add i to Vd?
End-For
For (each depot d)
Sd = best of three modified CW solutions (?1,?2,?3) on Vd
Add Sd to S
End-For
If (S is the new best solution), S? = S
End-For
Return S?
customer j. The net savings associated with the three possible relocations are: 1)
(cp1(i)i +cis1(i) ?cp1(i)s1(i))?(cp1(j)i +cij ?cp1(j)j), 2) (cp1(i)i +cs1(i)s2(i) ?cp1(i)s2(i))?
(cp1(j)i+cs1(i)j?cp1(j)j), and 3) (cp1(i)i+cs2(i)s3(i)?cp1(i)s3(i))?(cp1(j)i+cs2(i)j?cp1(j)j).
We note that relocations 2) and 3) may not be possible for all customers. For
example, if the successor of customer i is a depot then neither relocation 2) nor
relocation 3) is possible.
In Figure 7.2, we show the possible relocations. In Figure 7.2(a), we show the
142
two routes of the initial solution. In Figure 7.2(b), customer 1 has been relocated
immediately prior to customer 6. The associated savings is (cd11 + c12 ? cd12) ?
(cd21 +c16 ?cd26), where d1 and d2 represent depots 1 and 2, respectively. In Figure
7.2(c), customers 1 and 2 have been relocated immediately prior to customer 6. The
associated savings is (cd11+c23?cd13)?(cd21+c26?cd26). In Figure 7.2(d), customers
1, 2, and 3 have been relocated immediately prior to customer 6. The associated
savings is (cd11 +c34 ?cd14)?(cd21 +c36 ?cd26).
In order to find the optimal set of relocations of strings of customers across all
routes of all depots, we formulate a multi-depot improvement IP (MDIIP).
Let V be the set of customers and let q0i be the demand of customer i ? V. Let
q1i = q0i +q0s1(i) and q2i = q0i +q0s1(i) +q0s2(i). Let ?0i = cp1(i)i +cis1(i) ?cp1(i)s1(i) be the
savings of removing and relocating customer i. Let ?1i = cp1(i)i +cs1(i)s2(i) ?cp1(i)s2(i)
be the savings of removing and relocating customers i and s1(i). Let ?2i = cp1(i)i +
cs2(i)s3(i)?cp1(i)s3(i) be the savings of removing and relocating customers i, s1(i), and
s2(i).
Let ?0ij = cp1(j)i + cij ?cp1(j)j be the cost of inserting customer i immediately
prior to customer j. Let ?1ij = cp1(j)i+cs1(i)j?cp1(j)j be the cost of inserting customers
i and s1(i) immediately prior to customer j. Let ?2ij = cp1(j)i +cs2(i)j ?cp1(j)j be the
cost of inserting customers i, s1(i), and s2(i) immediately prior to customer j.
Let V0 be the subset of V containing the customers with the largest savings
from removal. That is, V0 is the set of the K0 customers i for which ?0i is the largest,
where K0 is a preset parameter. Similarly, let V1 be the set of the K1 customers i
for which ?1i is the largest, and let V2 be the set of the K2 customers i for which
143
1
2
4 3 6 7
5 2
1
4 3 6 7
5
(a) (b)
Initial solution prior to customer 6
Depot 1 Depot 2 Depot 1 Depot 2
Relocate customer 1 immediately
4 3 6 7
5 2
1
4 3 6 7
5
(c) (d)
2
1
immediately prior to customer 6
Relocate customers 1, 2, and 3Relocate customers 1 and 2 immediately
prior to customer 6
Depot 1 Depot 2 Depot 1 Depot 2
Figure 7.2: Possible customer relocations.
?2i is the largest. To reduce the number of variables and constraints in the MDIIP
so that it can be solved in a reasonable run time, we only allow customer i to be
relocated if i ? V0. We only allow customers i and s1(i) to be relocated if i ? V1,
and we only allow customers i, s1(i), and s2(i) to be relocated if i ? V2. Strings of
customers given by V0,V1 and V2 are called candidates for relocation.
Let V0(i) be the neighborhood of customer i. That is, V0(i) is the set of the L0
144
customers j for which ?0ij is the smallest, where L0 is a preset parameter. Similarly,
let V1(i) be the set of the L1 customers j for which ?1ij is the smallest, and let
V2(i) be the set of the L2 customers j for which ?2ij is the smallest. To reduce the
number of variables and constraints in the MDIIP, we consider relocating customer i
immediately prior to customer j only if j ? V0(i). We consider relocating customers
i and s1(i) immediately prior to customer j only if j ? V1(i), and we consider
relocating customers i, s1(i), and s2(i) immediately prior to customer j only if
j ? V2(i).
The set of routes is given by R. The residual capacity of route r ? R (vehicle
capacity minus total demand serviced on r) is given by Qr, and the residual length
of route r (maximum route length minus length of r) is given by Cr.
The decision variables of the MDIIP are defined as follows. Let x0ij = 1 if
we insert customer i immediately prior to customer j, and 0 otherwise; x1ij = 1 if
we insert customers i and s1(i) immediately prior to customer j, and 0 otherwise;
x2ij = 1 if we insert customers i, s1(i), and s2(i) immediately prior to customer j,
and 0 otherwise; y0i = 1 if we relocate customer i, and 0 otherwise; y1i = 1 if we
relocate customers i and s1(i), and 0 otherwise; and y2i = 1 if we relocate customers
i, s1(i), and s2(i), and 0 otherwise.
The MDIIP formulation is given by (1)?(14) below.
maximize summationdisplay
i?V
(?0iy0i +?1iy1i +?2iy2i)?(summationdisplay
j?V
?0ijx0ij +?1ijx1ij +?2ijx2ij) (1)
subject to
summationdisplay
j on R
(summationdisplay
i?V
q0ix0ij +q1ix1ij +q2ix2ij)?(q0jy0j +q1jy1j +q2jy2j) ? Qr ?r ? R (2)
145
summationdisplay
j on R
parenleftBiggsummationdisplay
i?V
?0ijx0ij + (?1ij +cis1(i))x1ij + (?2ij +cis1(i) +cs1(i)s2(i))x2ij
parenrightBigg
?
parenleftBig
?0jy0j + (?1j +cjs1(j))y1j + (?2j +cjs1(j) +cs1(j)s2(j))y2j
parenrightBig
? Cr ?r ? R (3)
summationdisplay
i?V
x0ij +x1ij +x2ij +y0j +y0p1(j) +y1j +y1p1(j) +y1p2(j) +
y2j +y2p1(j) +y2p2(j) +y2p3(j) ? 1 ?j ? V (4)
summationdisplay
j?V
x0ij = y0i ?i ? V (5)
summationdisplay
j?V
x1ij = y1i ?i ? V (6)
summationdisplay
j?V
x2ij = y2i ?i ? V (7)
y0i = 0 ?i negationslash? V0 (8)
y1i = 0 ?i negationslash? V1 (9)
y2i = 0 ?i negationslash? V2 (10)
x0ij = 0 ?j negationslash? V0(i),?i ? V (11)
x1ij = 0 ?j negationslash? V1(i),?i ? V (12)
x2ij = 0 ?j negationslash? V2(i),?i ? V (13)
x0ij,x1ij,x2ij,y0i,y1i,y2i ? {0,1} ?i,j ? V (14)
The objective function (1) gives the net savings attained by relocating strings
of one, two, and three consecutive customers. In constraints (2), we ensure that
the amount of demand relocated to a route minus the amount of demand relocated
from a route does not exceed the residual capacity of the route. In constraints (3),
we ensure that the net increase in the length of a route due to relocations does not
exceed the residual length of the route. In constraints (4), if we relocate a string
of customers immediately prior to customer j, then we do not remove any string
146
Depot 1 Depot 2
(5) (7) (1) (1) (1)
(5)
2
3
5
1
(5)
1
1
(1)
(1)
1
3
2
3
3
1
1
2 6
4
3
5 7 8
9
Figure 7.3: By applying the MDIIP to the solution in Figure 7.1, we decrease the
distance traveled from 28 units to 26 units.
of customers containing j or p1(j). Also, we do not insert more than one string of
customers immediately prior to customer j, and we remove either j or p1(j) but not
both. Constraints (4) ensure the objective value accurately reflects the savings, as
the coefficients in the objective function depend on j and p1(j). In constraints (5)?
(7), we relocate a string of customers if and only if we insert it immediately prior
to some other customer. In constraints (8)?(13), we allow a string of customers
starting at i to be moved immediately prior to j only if the string is a candidate for
relocation and j is in the appropriate neighborhood of i. Constraints 14 ensure all
decision variables are binary.
We apply the MDIIP to the solution given in Figure 7.1 and show the improved
solution in Figure 7.3. A savings of two units is achieved by relocating customers 3,
4, and 5 immediately prior to customer 7. The MDIIP formulation for this example
is given in Section 7.5 (Appendix I).
147
7.3.3 Improving the Routes of Each Depot Separately Using Record-
to-record Travel
In our heuristic, each time a new record (best) solution is found, we attempt
to improve this solution by considering the routes of each depot separately. Vehicle
routes starting and ending at a specific depot are treated as a single-depot VRP solu-
tion. We improve this solution using an enhanced record-to-record travel algorithm
(ERTR) developed by Gro?er, Golden, and Wasil [50]. ERTR is a modified version
of the variable length record-to-record travel algorithm (VRTR) developed by Li,
Golden, and Wasil [63]. VRTR improves a VRP solution by performing one-point
and two-point node exchanges, as well as two-opt edge exchanges. ERTR considers
additional moves such as three-point node exchanges and Or-opt edge exchanges.
Uphill moves are allowed when a solution is within a preset tolerance of the record
solution. The details of ERTR are given in Table 7.2.
7.3.4 Reinitializing a Solution
Given a current solution S, we apply the MDIIP repeatedly. We stop when
either i) there is no improvement in the current iteration, or ii) the improvement is
less than a minimum value and S is not within a maximum deviation of the record
(best) solution. Rule ii) allows us to exit an iteration in which we are unlikely to
find a new record solution. Next, we reinitialize S. This allows us to explore the
solution space from a different (new) solution.
To reinitialize S, we select two depots d1 and d2 randomly. We create a
148
Table 7.2: Enhanced record-to-record travel algorithm for the VRP.
Sd = VRP solution with depot d,deviation = 1%,count = 0,L = 10,A = 70
Initialize the record, S?d = Sd
Uphill:
For (a = 1 to A)
Apply one-point moves, apply two-point moves, apply three-point moves
Apply two-opt edge exchanges, apply Or-opt edge exchanges
Update Sd if result is within deviation of cost of S?d
Update S?d if necessary
End-For
Downhill:
Apply Or-opt edge exchanges, apply two-opt edge exchanges
Apply one-point moves, apply two-point moves, apply three-point moves
If (cost decreases), update Sd and go to Downhill
Else Update S?d if necessary, otherwise count = count+ 1
If (count < L), go to Uphill
Perturb solutions once and go to Uphill
Return S?d
fictitious depot d? located somewhere on the line segment connecting d1 and d2.
That is, we let P? = ?P1 + (1??)P2, where P?, P1, and P2 are the locations in the
plane of d?, d1, and d2, respectively, and ? is a random number generated uniformly
in [0,1]. (We assume Euclidean distances, but this step could easily be modified for
the case of a general distance matrix by, say, letting cd?i = ?cd1i + (1 ? ?)cd2i for
each customer i on a route of depot d1 or d2.) We then create a single-depot VRP
solution Sd? from the routes of depots d1 and d2 by removing d1 and d2 from the
routes and inserting d? in their places. In Figure 7.4, we illustrate this. In Figure
7.4(a), we show the routes of d1 and d2. In Figure 7.4(b), we show the routes with
d? inserted in place of d1 and d2.
In replacing d1 and d2 with d?, a route might violate the maximum route length
constraint. If this is the case, we set a new maximum route length equal to the length
of the longest route in Sd?. We then apply a modified (fast) version of ERTR to Sd?
149
d21d
(a)
1 2d
(b)
d d?
Figure 7.4: We remove depots d1 and d2 and insert the fictitious depot d?.
in which we consider edge moves (two-opt and OR-opt), but not node moves (one-,
two-, and three-point moves). We denote the modified ERTR by MERTR.
Next, we remove d? from all routes of Sd? and reinsert depot d1 or d2 in a
least-cost way, creating new single-depot solutions for d1 and d2, denoted Sd1 and
Sd2, respectively. If a route in Sd1 or Sd2 is longer than the original maximum route
length, we apply a make-feasible routine that moves customers off the violating
routes onto new routes. The details of the make-feasible routine are given in Table
7.3. Finally, we apply ERTR to Sd1 and Sd2 separately. We give the details of the
150
Table 7.3: A routine for making a VRP solution feasible.
Sd = VRP solution with depot d
C = maximum route length
?i = cp1(i)i +cis1(i) ?cp1(i)s1(i) (removal savings)
?? = largest removal savings
i? = best customer to relocate
j? = best node to relocate i? immediately prior to
For (each route r of Sd)
While (the length of r is greater than C)
Set ?? = ?1
For (all customers i on r and all nodes j on each route p)
If (relocating i immediately prior to j on p is feasible) and (?i > ??)
?? = ?i
i? = i
j? = j
End-If
End-For
If (?? ? 0), relocate i? immediately prior to j?
Else
Remove the customer i? on r with the largest removal savings
Create a round-trip route from d to i?
End-If-Else
End-While
End-For
Return Sd
entire reinitialization procedure in Table 7.4.
After performing the reinitialization procedure, we apply the MDIIP. We re-
peat this process until a stopping condition is reached and the best solution is
returned. Each time a new best solution is found, we apply ERTR to the routes of
each depot separately. We set a run-time limit for each execution of the MDIIP.
If the MDIIP is not solved optimally when the run-time limit is reached, the best
solution that was found is returned. The details of our integer programming-based
heuristic (MDIPH) for the MDVRP are given in Table 7.5.
151
Table 7.4: A procedure for reinitializing an MDVRP solution.
S = MDVRP solution, Sd? = VRP solution with depot d?
Sd1 = VRP solution with depot d1, Sd2 = VRP solution with depot d2
C = maximum route length
?ij = cp1(j)i +cij ?cp1(j)j (insertion cost)
?? = smallest insertion cost
d? = best depot to insert
j? = best node to insert d? immediately prior to
Chose depots d1 and d2 randomly from all depots
Create fictitious depot d? on the line segment connecting d1 and d2
Create Sd? by replacing d1 and d2 with d? on all routes of d1 and d2
Set C equal to the length of the longest route of Sd? (if necessary)
Apply MERTR to Sd?
For (each route r in Sd?)
Remove d? from r
Set ?? = ?
For (all customers j on r and each depot d = d1,d2)
If (?dj < ??)
?? = ?dj
d? = d
j? = j
End-If
End-For
Insert d? immediately prior to j?
End-For
Reset C to the original maximum route length
Apply the make-feasible routine and ERTR to Sd1 and Sd2
Return S
7.3.5 Computational Experiment with MDIPH
7.3.5.1 Performance on Benchmark Problems
We applied MDIPH to 23 benchmark problems. Seven problems (MD1?MD7)
were developed by Christofides and Eilon [23]. Four problems (MD8?MD11) are
from Gillett and Johnson [42], and 12 problems (MD12?MD23) are from Chao,
Golden, and Wasil [18]. These 23 problems vary in size from 50 customers to 360
customers and from 2 depots to 9 depots. The integer programs in MDIPH are
solved with ILOG CPLEX 10.0 and Visual C++ (version 6.0) using a 3.0 GHz
152
Table 7.5: The MDIPH algorithm for solving the MDVRP.
S = current MDVRP solution, S? = record solution
runTime = current number of seconds elapsed in the algorithm?s execution
maxTime = run-time limit of the algorithm
minImp = .05%, maxDev = .05%, maxRec = 50
Set the MDIIP time limit to 30 seconds
Lx = size of candidate set x
Kx = size of neighborhood x
If (number of customers N is at most 100)
L0 = L1 = L2 = N
K0 = K1 = K2 = 25
maxTime = 500 seconds
Else-If (N <= 200)
L0 = ?.9N?, L1 = L2 = ?.75N?
K0 = K1 = K2 = 25
maxTime = 1000 seconds
Else
L0 = ?.75N?, L1 = L2 = ?.5N?
K0 = 20, K1 = K2 = 10
If (N <= 300), maxTime = 1500 seconds
Else maxTime = 2500 seconds
End-If-Else
Set recCntr = 0 (number of iterations since the last record solution was found)
Generate initial solution S, set S? = S
Apply ERTR to the routes of each depot of S separately
Repeat
Repeat
Apply the MDIIP to S
If (improvement of S < minImp) and (deviation of S from S? > maxDev)
Set S = S?
Break Repeat-Until
End-If
Until (no improvement of S is achieved )
If (S is the new best solution)
Apply ERTR to the routes of each depot of S separately
Set S? = S
recCntr = 0
Else recCntr = recCntr + 1
End-If-Else
Apply reinitialization procedure to S
Until (recCntr > maxRec) or (runTime > maxTime)
Return S?
Pentium 4 processor and 512MB of RAM.
In Table 7.6, we give our computational results. In column one, we give the
problem number. In columns two through five, we give the number of customers (N),
the number of depots (M), the maximum route length (C), and the vehicle capacity
(Q). Columns six through ten give the solution values produced by our algorithm
(MDIPH) and the solution values generated by the algorithms of Chao, Golden, and
Wasil (CGW) [18], Renaud, Laporte, and Boctor (RLB) [78], Cordeau, Gendreau,
153
Table 7.6: Computational results for five algorithms on 23 MDVRPs.
Problem N M C Q MDIPH1 CGW1 RLB1 CGL1 LAU2
MD1 50 4 ? 80 576.87 582.4 576.87 576.87 576.87
MD2 50 4 ? 160 473.53 476.6 476.66 473.87 473.53
MD3 75 5 ? 140 644.46 641.2 645.14 645.15 641.19
MD4 100 2 ? 100 999.21 1026.9 1016.13 1006.66 1001.59
MD5 100 2 ? 200 751.89 756.6 754.20 753.34 752.08
MD6 100 3 ? 100 880.57 883.6 876.50 877.84 882.73
MD7 100 4 ? 100 898.20 898.5 897.86 891.95 887.94
MD8 249 2 310 500 4414.99 4511.6 4500.48 4482.44 4438.15
MD9 249 3 310 500 3879.06 3950.9 3969.31 3920.85 3916.32
MD10 249 4 310 500 3689.47 3815.6 3720.88 3714.65 3669.76
MD11 249 5 310 500 3601.26 3733.0 3670.25 3580.84 3581.88
MD12 80 2 ? 60 1318.95 1327.3 1318.95 1318.95 1318.95
MD13 80 2 200 60 1318.95 1345.9 1318.95 1318.95 1318.95
MD14 80 2 180 60 1360.12 1372.5 1365.69 1360.12 1360.12
MD15 160 4 ? 60 2511.92 2610.3 2551.46 2534.13 2514.06
MD16 160 4 200 60 2572.23 2605.3 2572.23 2572.23 2578.37
MD17 160 4 180 60 2709.09 2816.6 2731.37 2720.23 2709.09
MD18 240 6 ? 60 3731.37 3877.4 3786.96 3710.49 3728.44
MD19 240 6 200 60 3827.06 3863.9 3827.06 3827.06 3840.53
MD20 240 6 180 60 4063.64 4272.0 4097.06 4058.07 4063.26
MD21 360 9 ? 60 5516.40 5791.5 5678.50 5535.99 5525.68
MD22 360 9 200 60 5735.40 5857.4 5718.00 5716.01 5733.13
MD23 360 9 180 60 6112.17 6494.6 6145.58 6139.73 6098.75
1Solutions generated using default parameter settings
2Average solutions from 50 runs
Bold indicates the best solution.
and Laporte (CGL) [26], and Lau et al. (LAU) [60]. These four algorithms have
been applied to MD1?MD23 and have produced the best-known solutions to these
23 problems. The results reported in Table 7.6 were generated by MDIPH, CGW,
RLB, and CGL using the default settings of their parameters. The results generated
by LAU are the average solutions from 50 runs of their genetic algorithm.
MDIPH performed very well on the 23 problems. It generated the best solu-
tions to 6 problems and matched the best solutions to eight problems. CGL and
LAU were the next best algorithms. CGL generated the best solutions to five prob-
154
Table 7.7: Best solutions generated by five algorithms to 23 MDVRPs.
Problem N M C Q MDIPH1 CGW1 RLB1 CGL1 LAU2
MD1 50 4 ? 80 576.87 576.9 576.87 576.87 576.87
MD2 50 4 ? 160 473.53 474.6 473.53 473.53 473.53
MD3 75 5 ? 140 644.46 641.2 641.19 641.19 641.19
MD4 100 2 ? 100 999.21 1012.0 1003.87 1001.59 1001.59
MD5 100 2 ? 200 750.03 756.5 750.26 750.03 750.03
MD6 100 3 ? 100 876.50 879.1 876.50 876.50 876.50
MD7 100 4 ? 100 881.97 893.8 892.58 885.80 885.80
MD8 249 2 310 500 4414.99 4511.6 4485.09 4437.68 4429.51
MD9 249 3 310 500 3871.91 3950.9 3937.82 3900.22 3900.22
MD10 249 4 310 500 3646.06 3727.1 3669.38 3663.02 3663.02
MD11 249 5 310 500 3550.78 3670.2 3648.95 3554.18 3552.67
MD12 80 2 ? 60 1318.95 1327.3 1318.95 1318.95 1318.95
MD13 80 2 200 60 1318.95 1345.9 1318.95 1318.95 1318.95
MD14 80 2 180 60 1360.12 1372.5 1365.69 1360.12 1360.12
MD15 160 4 ? 60 2505.42 2610.3 2551.46 2505.42 2505.42
MD16 160 4 200 60 2572.23 2605.3 2572.23 2572.23 2572.23
MD17 160 4 180 60 2709.09 2816.6 2731.37 2709.09 2709.09
MD18 240 6 ? 60 3702.85 3877.4 3781.04 3702.85 3702.85
MD19 240 6 200 60 3827.06 3863.9 3827.06 3827.06 3827.06
MD20 240 6 180 60 4058.07 4272.0 4097.06 4058.07 4058.07
MD21 360 9 ? 60 5474.84 5791.5 5656.47 5474.84 5474.84
MD22 360 9 200 60 5702.16 5857.4 5718.00 5702.16 5702.16
MD23 360 9 180 60 6101.03 6494.6 6145.58 6095.46 6087.65
1Best solutions generated using different parameter settings
2Best solutions from 50 runs
Bold indicates the best-known solution.
lems and matched the best solutions to six problems. LAU generated two best
solutions and matched the best solutions to seven problems.
The authors of MDIPH, CGW, RLB, and CGL also report the very best solu-
tions to MD1?MD23 generated by their algorithms while testing different parameter
settings. In Table 7.7, we give these solutions. Many of these solutions were gen-
erated using parameter settings different than the default settings, so they are not
presented in Table 7.6. The results for LAU in Table 7.7 are the best solutions from
50 runs of their algorithm. The bold entries in Table 7.7 represent the best-known
155
Table 7.8: Run times (seconds) for four algorithms on 23 MDVRPs.
Problem N M C Q MDIPH1 CGW2 RLB3 CGL3
MD1 50 4 ? 80 141.86 66 192 194.4
MD2 50 4 ? 160 108.07 72 288 207.6
MD3 75 5 ? 140 209.52 108 348 339.6
MD4 100 2 ? 100 534.45 132 684 467.4
MD5 100 2 ? 200 510.98 144 768 492.6
MD6 100 3 ? 100 531.32 126 504 459.0
MD7 100 4 ? 100 536.78 288 408 462.6
MD8 249 2 310 500 1512.12 1446 4164 1525.8
MD9 249 3 310 500 1507.20 1254 2472 1603.8
MD10 249 4 310 500 1506.19 432 2580 1530.0
MD11 249 5 310 500 1519.98 1002 2184 1554.6
MD12 80 2 ? 60 255.40 168 324 334.2
MD13 80 2 200 60 255.21 42 288 334.8
MD14 80 2 180 60 257.72 78 156 326.4
MD15 160 4 ? 60 1002.23 138 930 843.6
MD16 160 4 200 60 1007.13 366 666 843.0
MD17 160 4 180 60 1010.89 390 348 822.0
MD18 240 6 ? 60 1519.92 516 1392 1491.0
MD19 240 6 200 60 1505.01 1338 1320 1512.0
MD20 240 6 180 60 1503.07 876 600 1483.2
MD21 360 9 ? 60 2503.72 4710 2922 2889.6
MD22 360 9 200 60 2502.17 7944 2010 2934.0
MD23 360 9 180 60 2507.23 1464 1038 2871.6
Average 1062.96 1004.35 1155.91 1109.69
1 3.0 GHz Pentium 4 processor
2 SUN 4/370 workstation
3 Sun Sparcstation 10
solutions to MD1?MD23.
We see that MDIPH generated the best-known solutions to 21 of 23 problems,
six of these were new best-known solutions. LAU generated the best-known solutions
to 17 problems, one of these is strictly the best-known. CGL generated the best-
known solutions to 16 problems.
In Table 7.8, we provide the run times in seconds for MDIHP, CGW, RLB, and
156
CGL using the default settings of their parameters. CGW has the smallest average
run time (1004.35 seconds) followed by MDIPH (1062.96 seconds). Each algorithm
has an average run time within 155 seconds of the others. The authors of LAU do
not report average run times. They only report run times ?corresponding to the
best objective value?. For example, they report a single run time of 269.43 seconds
on problem MD23. Since they select the best solution from 50 runs of their genetic
algorithm, their total computational effort for problem MD23 is approximately 50
times as large, or nearly 13,500 seconds. Given that we do not have exact run
times for LAU, we do not report them in Table 7.8. Also, they do not give the
specifications of the machine on which their algorithm was run.
In Appendix E, we give all problems used in testing and all solutions generated
by MDIPH.
7.3.5.2 Improvement Analysis
Next, we performed an analysis to determine how much each subroutine of
MDIPH improves a solution. MDIPH has three subroutines, MDIIP, ERTR, and
Reinitialization. In the MDIIP subroutine, the MDIIP (Section 7.3.2) is applied
to the current solution repeatedly until no improvement is achieved. In the ERTR
subroutine, we perform ERTR (Section 7.3.3) on the routes of each individual depot.
In the Reinitialization subroutine, we reinitialize a solution using the procedure given
in Section 7.3.4.
On 10 sample problems selected from MD1?MD23, we recorded the improve-
157
ment to a solution each time a subroutine was executed in MDIPH. Improvement is
given by 100(1?D/D?)%, where D? is the distance of a solution before a subroutine
is applied, and D is the distance of the solution after the subroutine is applied. In
Table 7.9, we present our results. For each problem and each subroutine, we give
the number (No.) of times the subroutine was executed in MDIPH and the average
improvement (Imp.) to a solution from the subroutine.
Table 7.9: Average improvements to solutions from three subroutines of MDIPH.
MDIIP ERTR Reinit.
Problem No. Imp. No. Imp. No. Imp.
MD1 323 0.93 5 0.00 322 -1.16
MD3 67 1.51 5 0.00 66 -1.69
MD6 18 1.23 4 0.17 17 -2.32
MD9 30 0.95 2 0.31 29 -2.62
MD12 71 1.27 2 0.00 70 -3.17
MD14 63 1.96 1 0.00 62 -4.59
MD17 81 1.31 3 0.00 80 -3.01
MD19 200 1.22 6 0.00 199 -1.76
MD21 211 0.99 11 0.05 210 -1.63
MD23 212 0.45 6 0.00 211 -1.04
In Table 7.9, we see that MDIIP accounts for almost all the total improvement
to an initial solution. On the 10 problems, an execution of MDIIP improved a solu-
tion by between 0.45% and 1.96%, on average. An execution of ERTR improved a
solution by between 0.00% and 0.31%, on average. ERTR failed to improve a solu-
tion to seven of 10 problems. ERTR is applied only when a new record solution has
been found. These solutions are usually very good, so there is not much room for
improvement. The improvements from Reinitialization are negative. On average,
the solution after Reinitialization is applied is worse than the solution before Reini-
tialization is applied. The purpose of Reinitialization is not necessarily to improve
158
0 100 200 300 400 500 6002700
2750
2800
2850
2900
2950
3000
Solution
Run time (s)
value
Figure 7.5: The value of the current solution to MD17 changes in time.
a solution, but to find a new starting solution that is sufficiently different from the
current solution (so that cycling is avoided), but still retains many features of the
current high-quality solution.
In Figure 7.5, we give a graph of solution value (total distance traveled) versus
run time for a run of MDIPH on MD17. In the graph, each long descent is due
to MDIIP. If a new record (minimum) is achieved, ERTR is performed. If ERTR
does not improve the current solution, we see a short horizontal line segment in the
graph. For example, from run time 310 to 321 the graph is constant at a solution
value of 2709.09. Reinitialization is then applied causing the upward spikes seen in
the graph. The shape of the graph in Figure 7.5 reflects the type of behavior we
have seen for MDIPH on other benchmark problems.
159
7.4 Conclusions
We developed a new heuristic for the MDVRP that combined integer pro-
gramming and an enhanced version of the record-to-record travel algorithm. When
applied to standard benchmark MDVRPs, our heuristic produced results that were
very accurate and were better on average than the results for four algorithms re-
ported in the literature in comparable run times. In addition, using different pa-
rameter settings, our algorithm produced the best solutions to 21 of 23 problems.
7.5 Appendix I
We present the MDIIP formulation using the example given in Figure 7.1 as
the initial solution. The three routes of the initial solution are 1) 0-1-2-0, 2) 0-3-4-
5-6-0, and 3) 10-7-8-9-10, where node 0 represents depot 1 and node 10 represents
depot 2. In this example, for simplicity, we let V0 = {3,4,5}, V1 = {3,4}, and
V2 = {3}, and we only consider relocations immediately prior to customer 7 (each
neighborhood is {7}). The MDIIP formulation is as follows.
maximize ?03y03 + ?04y04 + ?05y05 + ?13y13 + ?14y14 + ?23y23 ? ?037x037 ? ?047x047 ? ?057x057 ?
?137x137 ??147x147 ??237x237
subject to
q03x037 +q04x047 +q05x057 +q13x137 +q14x147 +q23y237 <= Q3
?037x037 +?047x047 +?057x057 +(?137 +c34)x137 +(?147 +c45)x147 +(?237 +c34 +c45)x237 <= C3
x037 +x047 +x057 +x137 +x147 +x237 ? 1
x037 = y03
x047 = y04
160
x057 = y05
x137 = y13
x147 = y14
x237 = y23
y01 = y02 = y06 = y07 = y08 = y09 = 0
y11 = y12 = y15 = y16 = y17 = y18 = y19 = 0
y21 = y22 = y24 = y25 = y26 = y27 = y28 = y29 = 0
x012 = x013 = x014 = x015 = x016 = x017 = x018 = x019 = 0
x021 = x023 = x024 = x025 = x026 = x027 = x028 = x029 = 0
x031 = x032 = x034 = x035 = x036 = x038 = x039 = 0
x041 = x042 = x043 = x045 = x046 = x048 = x049 = 0
x051 = x052 = x053 = x054 = x056 = x058 = x059 = 0
x061 = x062 = x063 = x064 = x065 = x067 = x068 = x069 = 0
x071 = x072 = x073 = x074 = x075 = x076 = x078 = x079 = 0
x081 = x082 = x083 = x084 = x085 = x086 = x087 = x089 = 0
x091 = x092 = x093 = x094 = x095 = x096 = x097 = x098 = 0
x112 = x113 = x114 = x115 = x116 = x117 = x118 = x119 = 0
x121 = x123 = x124 = x125 = x126 = x127 = x128 = x129 = 0
x131 = x132 = x134 = x135 = x136 = x138 = x139 = 0
x141 = x142 = x143 = x145 = x146 = x148 = x149 = 0
x151 = x152 = x153 = x154 = x156 = x157 = x158 = x159 = 0
x161 = x162 = x163 = x164 = x165 = x167 = x168 = x169 = 0
x171 = x172 = x173 = x174 = x175 = x176 = x178 = x179 = 0
x181 = x182 = x183 = x184 = x185 = x186 = x187 = x189 = 0
x191 = x192 = x193 = x194 = x195 = x196 = x197 = x198 = 0
x212 = x213 = x214 = x215 = x216 = x217 = x218 = x219 = 0
x221 = x223 = x224 = x225 = x226 = x227 = x228 = x229 = 0
x231 = x232 = x234 = x235 = x236 = x238 = x239 = 0
x241 = x242 = x243 = x245 = x246 = x247 = x248 = x249 = 0
x251 = x252 = x253 = x254 = x256 = x257 = x258 = x259 = 0
x261 = x262 = x263 = x264 = x265 = x267 = x268 = x269 = 0
x271 = x272 = x273 = x274 = x275 = x276 = x278 = x279 = 0
x281 = x282 = x283 = x284 = x285 = x286 = x287 = x289 = 0
x291 = x292 = x293 = x294 = x295 = x296 = x297 = x298 = 0
y03,y04,y05,y13,y14,y23,x037,x047,x057,x137,x147,y237 ? {0,1}
161
In this example, the residual capacity for route 3 is given by Q3 = 3 and the
residual length is given by C3 = 2. The demands are given by q03 = q04 = q05 = 1,
q13 = q14 = 2, and q23 = 3. The symmetric distances are given by c03 = 4,c04 =
5,c05 = 4,c06 = 3,c34 = 1,c35 = 2,c36 = c37 = c3(10) = 3,c45 = 1,c46 = 2,c47 =
2,c4(10) = 4,c56 = c57 = 1,c5(10) = 5, and c7(10) = 4. Thus, ?03 = c03 + c34 ? c04 =
0,?04 = c34 + c45 ?c35 = 0,?05 = c45 + c56 ? c46 = 0,?13 = c03 + c45 ?c05 = 1,?14 =
c34 + c56 ? c36 = ?1,?23 = c03 + c56 ? c06 = 2,?037 = c(10)3 + c37 ? c(10)7 = 2,?047 =
c(10)4 + c47 ? c(10)7 = 2,?057 = c(10)5 + c57 ? c(10)7 = 2,?137 = c(10)3 + c47 ? c(10)7 =
1,?147 = c(10)4 + c57 ? c(10)7 = 1, and ?237 = c(10)3 + c57 ? c(10)7 = 0. The objective
function is given by
maximize y13 ?y14 + 2y23 ?2x037 ?2x047 ?2x057 ?x137 ?x147 .
The objective function is maximized when y23 = x237 = 1 and all other decision
variables are 0. A maximum savings of two units is produced by relocating customers
3, 4, and 5 immediately prior to customer 7. This solution is given in Figure 7.3.
162
Chapter 8
Conclusions
In this dissertation, we developed integer programming-based heuristics for
variants of the standard VRP. We modeled two new variants of the split delivery
vehicle routing problem; the SDVRP with minimum delivery amounts and the multi-
depot SDVRP. We developed IP-based heuristics for each variant and constructed
new test problems that have have high-quality, visually estimated solutions. For the
SDVRP-MDA, we constructed 21 new test problems with four minimum delivery
fractions. For the MDSDVRP, we constructed 12 new test problems. For both
variants, the solutions generated by our heuristics compared favorably with the
estimated solutions.
We developed an IP-based heuristic for the period vehicle routing problem
that generated very good solutions to 32 benchmark problems. On these problems,
our heuristic was competitive with the best algorithms found in the literature. We
adapted our heuristic to two new PVRP variants: the PVRP with reassignment
constraints and the PVRP with balance constraints. We performed computational
analyses on these variants and demonstrated how a routing manager could use our
results to develop effective routes in practice.
We applied integer programming to 15 traditional VRPs and compared our
results to a record-to-record travel algorithm. Record-to-record travel outperformed
163
our IP-based approach. We then applied the two algorithms to 15 VRPs with small
vehicle capacities. Record-to-record travel still outperformed our heuristic, but the
performance of our heuristic was better on the small-capacity VRPs than on the
standard VRPs. Based on our results, we concluded that integer programming is
not the most effective method for the traditional VRP. IP-based heuristics seem to
be best suited for multi-level routing problems.
We modified our IP-based heuristic to handle the multi-depot VRP. We applied
our heuristic to 23 benchmark problems and generated solutions that were better
than those reported in the literature. We matched the previous best-known solutions
to 21 of 23 problems and generated new best-known solutions to six problems.
Finally, we provided documentation for our collection of new benchmark test
problems and make these problems available to the operations research community.
In summary, we found integer programming to be a valuable way to improve
the quality of solutions to vehicle routing problems. We estimate that an average
solution can be improved by 1% to 2% using an IP-based method. Based on the re-
sults in this dissertation, we encourage researchers to consider integer programming
methods when developing new solution procedures for variants of the VRP.
164
Appendix A
SDVRP-MDA: Problems and Solutions
Table A.1: Symbol key.
N Number of customers in a problem
Q Vehicle capacity
No. Customer or route number
x x-coordinate of a node?s location
y y-coordinate of a node?s location
D Customer demand
p Minimum delivery fraction
Note: node 0 is the depot.
Table A.2: Number of customers and vehicle capacities for six capacitated VRPs.
Problem N Q
CH1 50 160
CH2 75 140
CH4 150 200
CH5 199 200
CH11 120 200
CH12 100 200
165
Table A.3: Number of customers and vehicle capacities for 11 SDVRPs.
Problem N Q
S51D2 50 160
S51D3 50 160
S51D4 50 160
S51D5 50 160
S51D6 50 160
S76D2 75 160
S76D3 75 160
S76D4 75 160
S101D2 100 160
S101D3 100 160
S101D5 100 160
Table A.4: Number of customers and vehicle capacities for 21 SDVRPs.
Problem N Q
SD1 8 100
SD2 16 100
SD3 16 100
SD4 24 100
SD5 32 100
SD6 32 100
SD7 40 100
SD8 48 100
SD9 48 100
SD10 64 100
SD11 80 100
SD12 80 100
SD13 96 100
SD14 120 100
SD15 144 100
SD16 144 100
SD17 160 100
SD18 160 100
SD19 192 100
SD20 240 100
SD21 288 100
166
Table A.5: Node locations and demands for CH1.
No. x y D No. x y D No. x y D No. x y D
0 30.00 40.00 0 13 5.00 25.00 23 26 27.00 68.00 7 39 59.00 15.00 14
1 37.00 52.00 7 14 12.00 42.00 21 27 30.00 48.00 15 40 5.00 6.00 7
2 49.00 49.00 30 15 36.00 16.00 10 28 43.00 67.00 14 41 10.00 17.00 27
3 52.00 64.00 16 16 52.00 41.00 15 29 58.00 48.00 6 42 21.00 10.00 13
4 20.00 26.00 9 17 27.00 23.00 3 30 58.00 27.00 19 43 5.00 64.00 11
5 40.00 30.00 21 18 17.00 33.00 41 31 37.00 69.00 11 44 30.00 15.00 16
6 21.00 47.00 15 19 13.00 13.00 9 32 38.00 46.00 12 45 39.00 10.00 10
7 17.00 63.00 19 20 57.00 58.00 28 33 46.00 10.00 23 46 32.00 39.00 5
8 31.00 62.00 23 21 62.00 42.00 8 34 61.00 33.00 26 47 25.00 32.00 25
9 52.00 33.00 11 22 42.00 57.00 8 35 62.00 63.00 17 48 25.00 55.00 17
10 51.00 21.00 5 23 16.00 57.00 16 36 63.00 69.00 6 49 48.00 28.00 18
11 42.00 41.00 19 24 8.00 52.00 10 37 32.00 22.00 9 50 56.00 37.00 10
12 31.00 32.00 29 25 7.00 38.00 28 38 45.00 35.00 15
167
Table A.6: Node locations and demands for CH2.
No. x y D No. x y D No. x y D No. x y D
0 40.00 40.00 0 19 62.00 48.00 15 38 47.00 66.00 24 57 65.00 27.00 14
1 22.00 22.00 18 20 66.00 14.00 22 39 30.00 60.00 16 58 40.00 60.00 21
2 36.00 26.00 26 21 44.00 13.00 28 40 30.00 50.00 33 59 70.00 64.00 24
3 21.00 45.00 11 22 26.00 13.00 12 41 12.00 17.00 15 60 64.00 4.00 13
4 45.00 35.00 30 23 11.00 28.00 6 42 15.00 14.00 11 61 36.00 6.00 15
5 55.00 20.00 21 24 7.00 43.00 27 43 16.00 19.00 18 62 30.00 20.00 18
6 33.00 34.00 19 25 17.00 64.00 14 44 21.00 48.00 17 63 20.00 30.00 11
7 50.00 50.00 15 26 41.00 46.00 18 45 50.00 30.00 21 64 15.00 5.00 28
8 55.00 45.00 16 27 55.00 34.00 17 46 51.00 42.00 27 65 50.00 70.00 9
9 26.00 59.00 29 28 35.00 16.00 29 47 50.00 15.00 19 66 57.00 72.00 37
10 40.00 66.00 26 29 52.00 26.00 13 48 48.00 21.00 20 67 45.00 42.00 30
11 55.00 65.00 37 30 43.00 26.00 22 49 12.00 38.00 5 68 38.00 33.00 10
12 35.00 51.00 16 31 31.00 76.00 25 50 15.00 56.00 22 69 50.00 4.00 8
13 62.00 35.00 12 32 22.00 53.00 28 51 29.00 39.00 12 70 66.00 8.00 11
14 62.00 57.00 31 33 26.00 29.00 27 52 54.00 38.00 19 71 59.00 5.00 3
15 62.00 24.00 8 34 50.00 40.00 19 53 55.00 57.00 22 72 35.00 60.00 1
16 21.00 36.00 19 35 55.00 50.00 10 54 67.00 41.00 16 73 27.00 24.00 6
17 33.00 44.00 20 36 54.00 10.00 12 55 10.00 70.00 7 74 40.00 20.00 10
18 9.00 56.00 13 37 60.00 15.00 14 56 6.00 25.00 26 75 40.00 37.00 20
168
Table A.7: Node locations and demands for CH4.
No. x y D No. x y D No. x y D No. x y D
0 35.00 35.00 0 38 45.00 35.00 15 76 45.00 30.00 17 114 15.00 77.00 9
1 37.00 52.00 7 39 59.00 15.00 14 77 35.00 40.00 16 115 62.00 77.00 20
2 49.00 49.00 30 40 5.00 6.00 7 78 41.00 37.00 16 116 49.00 73.00 25
3 52.00 64.00 16 41 10.00 17.00 27 79 64.00 42.00 9 117 67.00 5.00 25
4 20.00 26.00 9 42 21.00 10.00 13 80 40.00 60.00 21 118 56.00 39.00 36
5 40.00 30.00 21 43 5.00 64.00 11 81 31.00 52.00 27 119 37.00 47.00 6
6 21.00 47.00 15 44 30.00 15.00 16 82 35.00 69.00 23 120 37.00 56.00 5
7 17.00 63.00 19 45 39.00 10.00 10 83 53.00 52.00 11 121 57.00 68.00 15
8 31.00 62.00 23 46 32.00 39.00 5 84 65.00 55.00 14 122 47.00 16.00 25
9 52.00 33.00 11 47 25.00 32.00 25 85 63.00 65.00 8 123 44.00 17.00 9
10 51.00 21.00 5 48 25.00 55.00 17 86 2.00 60.00 5 124 46.00 13.00 8
11 42.00 41.00 19 49 48.00 28.00 18 87 20.00 20.00 8 125 49.00 11.00 18
12 31.00 32.00 29 50 56.00 37.00 10 88 5.00 5.00 16 126 49.00 42.00 13
13 5.00 25.00 23 51 41.00 49.00 10 89 60.00 12.00 31 127 53.00 43.00 14
14 12.00 42.00 21 52 35.00 17.00 7 90 40.00 25.00 9 128 61.00 52.00 3
15 36.00 16.00 10 53 55.00 45.00 13 91 42.00 7.00 5 129 57.00 48.00 23
16 52.00 41.00 15 54 55.00 20.00 19 92 24.00 12.00 5 130 56.00 37.10 6
17 27.00 23.00 3 55 15.00 30.00 26 93 23.00 3.00 7 131 55.00 54.00 26
18 17.00 33.00 41 56 25.00 30.00 3 94 11.00 14.00 18 132 15.00 47.00 16
19 13.00 13.00 9 57 20.00 50.00 5 95 6.00 38.00 16 133 14.00 37.00 11
20 57.00 58.00 28 58 10.00 43.00 9 96 2.00 48.00 1 134 11.00 31.00 7
21 62.00 42.00 8 59 55.00 60.00 16 97 8.00 56.00 27 135 16.00 22.00 41
22 42.00 57.00 8 60 30.00 60.00 16 98 13.00 52.00 36 136 4.00 18.00 35
23 16.00 57.00 16 61 20.00 65.00 12 99 6.00 68.00 30 137 28.00 18.00 26
24 8.00 52.00 10 62 50.00 35.00 19 100 47.00 47.00 13 138 26.00 52.00 9
25 7.00 38.00 28 63 30.00 25.00 23 101 49.00 58.00 10 139 26.00 35.00 15
26 27.00 68.00 7 64 15.00 10.00 20 102 27.00 43.00 9 140 31.00 67.00 3
27 30.00 48.00 15 65 30.00 5.00 8 103 37.00 31.00 14 141 15.00 19.00 1
28 43.00 67.00 14 66 10.00 20.00 19 104 57.00 29.00 18 142 22.00 22.00 2
29 58.00 48.00 6 67 5.00 30.00 2 105 63.00 23.00 2 143 18.00 24.00 22
30 58.00 27.00 19 68 20.00 40.00 12 106 53.00 12.00 6 144 26.00 27.00 27
31 37.00 69.00 11 69 15.00 60.00 17 107 32.00 12.00 7 145 25.00 24.00 20
32 38.00 46.00 12 70 45.00 65.00 9 108 36.00 26.00 18 146 22.00 27.00 11
33 46.00 10.00 23 71 45.00 20.00 11 109 21.00 24.00 28 147 25.00 21.00 12
34 61.00 33.00 26 72 45.00 10.00 18 110 17.00 34.00 3 148 19.00 21.00 10
35 62.00 63.00 17 73 55.00 5.00 29 111 12.00 24.00 13 149 20.00 26.10 9
36 63.00 69.00 6 74 65.00 35.00 3 112 24.00 58.00 19 150 18.00 18.00 17
37 32.00 22.00 9 75 65.00 20.00 6 113 27.00 69.00 10
169
Table A.8: Node locations and demands for CH5.
No. x y D No. x y D No. x y D No. x y D
0 35.00 35.00 0 35 55.00 50.00 10 70 62.00 42.00 8 105 25.00 30.00 3
1 22.00 22.00 18 36 54.00 10.00 12 71 42.00 57.00 8 106 20.00 50.00 5
2 36.00 26.00 26 37 60.00 15.00 14 72 16.00 57.00 16 107 10.00 43.00 9
3 21.00 45.00 11 38 47.00 66.00 24 73 8.00 52.00 10 108 55.00 60.00 16
4 45.00 35.00 30 39 30.00 60.00 16 74 7.00 38.00 28 109 30.00 60.10 16
5 55.00 20.00 21 40 30.00 50.00 33 75 27.00 68.00 7 110 20.00 65.00 12
6 33.00 34.00 19 41 12.00 17.00 15 76 30.00 48.00 15 111 50.00 35.00 19
7 50.00 50.00 15 42 15.00 14.00 11 77 43.00 67.00 14 112 30.00 25.00 23
8 55.00 45.00 16 43 16.00 19.00 18 78 58.00 48.00 6 113 15.00 10.00 20
9 26.00 59.00 29 44 21.00 48.00 17 79 58.00 27.00 19 114 30.00 5.00 8
10 40.00 66.00 26 45 50.00 30.00 21 80 37.00 69.00 11 115 10.00 20.00 19
11 55.00 65.00 37 46 51.00 42.00 27 81 38.00 46.00 12 116 5.00 30.00 2
12 35.00 51.00 16 47 50.00 15.00 19 82 46.00 10.00 23 117 20.00 40.00 12
13 62.00 35.00 12 48 48.00 21.00 20 83 61.00 33.00 26 118 15.00 60.00 17
14 62.00 57.00 31 49 12.00 38.00 5 84 62.00 63.00 17 119 45.00 65.00 9
15 62.00 24.00 8 50 37.00 52.00 7 85 63.00 69.00 6 120 45.00 20.00 11
16 21.00 36.00 19 51 49.00 49.00 30 86 32.00 22.00 9 121 45.00 10.00 18
17 33.00 44.00 20 52 52.00 64.00 16 87 45.00 35.10 15 122 55.00 5.00 29
18 9.00 56.00 13 53 20.00 26.00 9 88 59.00 15.00 14 123 65.00 35.00 3
19 62.00 48.00 15 54 40.00 30.00 21 89 5.00 6.00 7 124 65.00 20.00 6
20 66.00 14.00 22 55 21.00 47.00 15 90 10.00 17.00 27 125 45.00 30.00 17
21 44.00 13.00 28 56 17.00 63.00 19 91 21.00 10.00 13 126 35.00 40.00 16
22 26.00 13.00 12 57 31.00 62.00 23 92 5.00 64.00 11 127 41.00 37.00 16
23 11.00 28.00 6 58 52.00 33.00 11 93 30.00 15.00 16 128 64.00 42.00 9
24 7.00 43.00 27 59 51.00 21.00 5 94 39.00 10.00 10 129 40.00 60.00 21
25 17.00 64.00 14 60 42.00 41.00 19 95 32.00 39.00 5 130 31.00 52.00 27
26 41.00 46.00 18 61 31.00 32.00 29 96 25.00 32.00 25 131 35.00 69.00 23
27 55.00 34.00 17 62 5.00 25.00 23 97 25.00 55.00 17 132 53.00 52.00 11
28 35.00 16.00 29 63 12.00 42.00 21 98 48.00 28.00 18 133 65.00 55.00 14
29 52.00 26.00 13 64 36.00 16.00 10 99 56.00 37.00 10 134 63.00 65.00 8
30 43.00 26.00 22 65 52.00 41.00 15 100 41.00 49.00 10 135 2.00 60.00 5
31 31.00 76.00 25 66 27.00 23.00 3 101 35.00 17.00 7 136 20.00 20.00 8
32 22.00 53.00 28 67 17.00 33.00 41 102 55.00 45.10 13 137 5.00 5.00 16
33 26.00 29.00 27 68 13.00 13.00 9 103 55.00 20.10 19 138 60.00 12.00 31
34 50.00 40.00 19 69 57.00 58.00 28 104 15.00 30.00 26 139 40.00 25.00 9
(cont.)
170
Table A.8 continued.
No. x y D No. x y D No. x y D No. x y D
140 42.00 7.00 5 155 53.00 12.00 6 170 57.00 68.00 15 185 4.00 18.00 35
141 24.00 12.00 5 156 32.00 12.00 7 171 47.00 16.00 25 186 28.00 18.00 26
142 23.00 3.00 7 157 36.00 26.10 18 172 44.00 17.00 9 187 26.00 52.00 9
143 11.00 14.00 18 158 21.00 24.00 28 173 46.00 13.00 8 188 26.00 35.00 15
144 6.00 38.00 16 159 17.00 34.00 3 174 49.00 11.00 18 189 31.00 67.00 3
145 2.00 48.00 1 160 12.00 24.00 13 175 49.00 42.00 13 190 15.00 19.00 1
146 8.00 56.00 27 161 24.00 58.00 19 176 53.00 43.00 14 191 22.00 22.10 2
147 13.00 52.00 36 162 27.00 69.00 10 177 61.00 52.00 3 192 18.00 24.00 22
148 6.00 68.00 30 163 15.00 77.00 9 178 57.00 48.00 23 193 26.00 27.00 27
149 47.00 47.00 13 164 62.00 77.00 20 179 56.00 37.10 6 194 25.00 24.00 20
150 49.00 58.00 10 165 49.00 73.00 25 180 55.00 54.00 26 195 22.00 27.00 11
151 27.00 43.00 9 166 67.00 5.00 25 181 15.00 47.00 16 196 25.00 21.00 12
152 37.00 31.00 14 167 56.00 39.00 36 182 14.00 37.00 11 197 19.00 21.00 10
153 57.00 29.00 18 168 37.00 47.00 6 183 11.00 31.00 7 198 20.00 26.10 9
154 63.00 23.00 2 169 37.00 56.00 5 184 16.00 22.00 41 199 18.00 18.00 17
171
Table A.9: Node locations and demands for CH11.
No. x y D No. x y D No. x y D No. x y D
0 10.00 45.00 0 31 84.00 5.00 10 62 93.00 84.00 7 93 20.00 44.00 7
1 25.00 1.00 25 32 84.00 9.00 3 63 93.00 89.00 16 94 22.00 44.00 10
2 25.00 3.00 7 33 85.00 1.00 7 64 94.00 86.00 14 95 16.00 45.00 9
3 31.00 5.00 13 34 87.00 5.00 2 65 95.00 80.00 17 96 20.00 45.00 11
4 32.00 5.00 6 35 85.00 8.00 4 66 99.00 89.00 13 97 25.00 45.00 17
5 31.00 7.00 14 36 87.00 7.00 4 67 37.00 83.00 17 98 30.00 55.00 12
6 32.00 9.00 5 37 86.00 41.00 18 68 50.00 80.00 13 99 20.00 50.00 11
7 34.00 9.00 11 38 86.00 44.00 14 69 35.00 85.00 14 100 22.00 51.00 7
8 46.00 9.00 19 39 86.00 46.00 12 70 35.00 87.00 16 101 18.00 49.00 9
9 35.00 7.00 5 40 85.00 55.00 17 71 44.00 86.00 7 102 16.00 48.00 11
10 34.00 6.00 15 41 89.00 43.00 20 72 46.00 89.00 13 103 20.00 55.00 12
11 35.00 5.00 15 42 89.00 46.00 14 73 46.00 83.00 9 104 18.00 53.00 7
12 47.00 6.00 17 43 89.00 52.00 16 74 46.00 87.00 11 105 14.00 50.00 8
13 40.00 5.00 13 44 92.00 42.00 10 75 46.00 89.10 35 106 15.00 51.00 6
14 39.00 3.00 12 45 92.00 52.00 9 76 48.00 83.00 5 107 16.00 54.00 5
15 36.00 3.00 18 46 94.00 42.00 11 77 50.00 85.00 28 108 28.00 33.00 12
16 73.00 6.00 13 47 94.00 44.00 7 78 50.00 88.00 7 109 33.00 38.00 13
17 73.00 8.00 18 48 94.00 48.00 13 79 54.00 86.00 3 110 30.00 50.00 7
18 24.00 36.00 12 49 96.00 42.00 5 80 54.00 90.00 10 111 13.00 40.00 7
19 76.00 6.00 17 50 99.00 46.00 4 81 10.00 35.00 7 112 15.00 36.00 8
20 76.00 10.00 4 51 99.00 50.00 21 82 10.00 40.00 12 113 18.00 31.00 11
21 76.00 13.00 7 52 83.00 80.00 13 83 18.00 30.00 11 114 25.00 37.00 13
22 78.00 3.00 12 53 83.00 83.00 11 84 17.00 35.00 10 115 30.00 46.00 11
23 78.00 9.00 13 54 85.00 81.00 12 85 16.00 38.00 8 116 25.00 52.00 10
24 79.00 3.00 8 55 85.00 85.00 14 86 14.00 40.00 11 117 16.00 33.00 7
25 79.00 5.00 16 56 85.00 89.00 10 87 15.00 42.00 21 118 25.00 35.00 4
26 79.00 11.00 15 57 87.00 80.00 8 88 11.00 42.00 4 119 5.00 40.00 20
27 82.00 3.00 6 58 87.00 86.00 16 89 18.00 40.00 15 120 5.00 50.00 13
28 82.00 7.00 5 59 90.00 77.00 19 90 21.00 39.00 16
29 90.00 15.00 9 60 90.00 88.00 5 91 20.00 40.00 4
30 84.00 3.00 11 61 93.00 82.00 17 92 18.00 41.00 16
172
Table A.10: Node locations and demands for CH12.
No. x y D No. x y D No. x y D No. x y D
0 40.00 50.00 0 26 25.00 55.00 10 52 25.00 35.00 10 78 88.00 35.00 20
1 45.00 68.00 10 27 23.00 52.00 10 53 44.00 5.00 20 79 87.00 30.00 10
2 45.00 70.00 30 28 23.00 55.00 20 54 42.00 10.00 40 80 85.00 25.00 10
3 42.00 66.00 10 29 20.00 50.00 10 55 42.00 15.00 10 81 85.00 35.00 30
4 42.00 68.00 10 30 20.00 55.00 10 56 40.00 5.00 30 82 75.00 55.00 20
5 42.00 65.00 10 31 10.00 35.00 20 57 40.00 15.00 40 83 72.00 55.00 10
6 40.00 69.00 20 32 10.00 40.00 30 58 38.00 5.00 30 84 70.00 58.00 20
7 40.00 66.00 20 33 8.00 40.00 40 59 38.00 15.00 10 85 68.00 60.00 30
8 38.00 68.00 20 34 8.00 45.00 20 60 35.00 5.00 20 86 66.00 55.00 10
9 38.00 70.00 10 35 5.00 35.00 10 61 50.00 30.00 10 87 65.00 55.00 20
10 35.00 66.00 10 36 5.00 45.00 10 62 50.00 35.00 20 88 65.00 60.00 30
11 35.00 69.00 10 37 2.00 40.00 20 63 50.00 40.00 50 89 63.00 58.00 10
12 25.00 85.00 20 38 0.00 40.00 30 64 48.00 30.00 10 90 60.00 55.00 10
13 22.00 75.00 30 39 0.00 45.00 20 65 48.00 40.00 10 91 60.00 60.00 10
14 22.00 85.00 10 40 35.00 30.00 10 66 47.00 35.00 10 92 67.00 85.00 20
15 20.00 80.00 40 41 35.00 32.00 10 67 47.00 40.00 10 93 65.00 85.00 40
16 20.00 85.00 40 42 33.00 32.00 20 68 45.00 30.00 10 94 65.00 82.00 10
17 18.00 75.00 20 43 33.00 35.00 10 69 45.00 35.00 10 95 62.00 80.00 30
18 15.00 75.00 20 44 32.00 30.00 10 70 95.00 30.00 30 96 60.00 80.00 10
19 15.00 80.00 10 45 30.00 30.00 10 71 95.00 35.00 20 97 60.00 85.00 30
20 30.00 50.00 10 46 30.00 32.00 30 72 53.00 30.00 10 98 58.00 75.00 20
21 30.00 52.00 20 47 30.00 35.00 10 73 92.00 30.00 10 99 55.00 80.00 10
22 28.00 52.00 20 48 28.00 30.00 10 74 53.00 35.00 50 100 55.00 85.00 20
23 28.00 55.00 10 49 28.00 35.00 10 75 45.00 65.00 20
24 25.00 50.00 10 50 26.00 32.00 10 76 90.00 35.00 10
25 25.00 52.00 40 51 25.00 30.00 10 77 88.00 30.00 10
173
Table A.11: Node locations and demands for S51D2?S51D6.
No. x y D2 D3 D4 D5 D6 No. x y D2 D3 D4 D5 D6
0 30.00 40.00 0 0 0 0 0 26 27.00 68.00 18 52 124 51 139
1 37.00 52.00 33 20 43 59 118 27 30.00 48.00 24 21 58 52 122
2 49.00 49.00 23 27 43 69 118 28 43.00 67.00 23 78 127 108 139
3 52.00 64.00 46 30 25 56 114 29 58.00 48.00 33 25 118 60 137
4 20.00 26.00 28 71 143 108 143 30 58.00 27.00 18 26 108 70 135
5 40.00 30.00 21 20 35 49 116 31 37.00 69.00 37 32 70 52 125
6 21.00 47.00 21 31 89 94 130 32 38.00 46.00 23 79 142 111 143
7 17.00 63.00 47 31 27 54 114 33 46.00 10.00 19 28 136 56 142
8 31.00 62.00 22 51 131 96 140 34 61.00 33.00 18 33 92 91 131
9 52.00 33.00 24 20 23 53 113 35 62.00 63.00 45 43 84 54 129
10 51.00 21.00 20 56 122 109 138 36 63.00 69.00 22 76 141 100 143
11 42.00 41.00 46 31 30 53 115 37 32.00 22.00 25 32 143 49 143
12 31.00 32.00 17 25 94 78 131 38 45.00 35.00 18 57 77 104 127
13 5.00 25.00 37 20 25 59 114 39 59.00 15.00 47 56 100 55 133
14 12.00 42.00 19 74 139 111 142 40 5.00 6.00 20 69 127 79 139
15 36.00 16.00 41 29 34 52 116 41 10.00 17.00 36 37 136 55 142
16 52.00 41.00 18 32 42 53 118 42 21.00 10.00 18 72 63 111 123
17 27.00 23.00 45 20 45 62 119 43 5.00 64.00 43 68 117 58 137
18 17.00 33.00 18 79 143 99 143 44 30.00 15.00 17 61 106 51 134
19 13.00 13.00 32 25 40 52 118 45 39.00 10.00 43 43 112 66 136
20 57.00 58.00 21 54 45 69 119 46 32.00 39.00 19 79 52 111 121
21 62.00 42.00 47 21 69 64 125 47 25.00 32.00 33 76 131 61 140
22 42.00 57.00 18 72 137 78 142 48 25.00 55.00 19 53 81 71 128
23 16.00 57.00 20 18 48 52 120 49 48.00 28.00 47 51 70 78 125
24 8.00 52.00 23 70 93 93 131 50 56.00 37.00 20 78 43 106 118
25 7.00 38.00 43 23 94 63 131
Note: demands are denoted by D2 for S51D2, D3 for S51D3, and so on.
174
Table A.12: Node locations and demands for S76D2?S76D4.
No. x y D2 D3 D4 No. x y D2 D3 D4
0 40.00 40.00 0 0 0 38 47.00 66.00 47 72 25
1 22.00 22.00 44 27 86 39 30.00 60.00 31 23 143
2 36.00 26.00 22 37 46 40 30.00 50.00 37 47 33
3 21.00 45.00 22 24 139 41 12.00 17.00 43 23 96
4 45.00 35.00 18 76 65 42 15.00 14.00 46 79 27
5 55.00 20.00 47 17 36 43 16.00 19.00 27 26 126
6 33.00 34.00 20 62 39 44 21.00 48.00 41 19 20
7 50.00 50.00 34 22 143 45 50.00 30.00 38 34 126
8 55.00 45.00 18 64 41 46 51.00 42.00 40 79 31
9 26.00 59.00 44 21 51 47 50.00 15.00 25 29 86
10 40.00 66.00 17 77 33 48 48.00 21.00 44 39 28
11 55.00 65.00 42 21 138 49 12.00 38.00 32 46 141
12 35.00 51.00 19 46 22 50 15.00 56.00 29 74 35
13 62.00 35.00 35 27 102 51 29.00 39.00 23 33 32
14 62.00 57.00 18 79 29 52 54.00 38.00 47 61 49
15 62.00 24.00 46 20 118 53 55.00 57.00 26 59 143
16 21.00 36.00 20 21 25 54 67.00 41.00 16 67 41
17 33.00 44.00 22 30 135 55 10.00 70.00 21 38 55
18 9.00 56.00 23 67 26 56 6.00 25.00 47 75 73
19 62.00 48.00 47 20 82 57 65.00 27.00 20 70 135
20 66.00 14.00 22 37 37 58 40.00 60.00 29 59 49
21 44.00 13.00 23 32 143 59 70.00 64.00 20 45 101
22 26.00 13.00 29 46 25 60 64.00 4.00 45 79 98
23 11.00 28.00 46 20 35 61 36.00 6.00 16 78 121
24 7.00 43.00 24 61 44 62 30.00 20.00 40 51 60
25 17.00 64.00 35 31 124 63 20.00 30.00 19 52 131
26 41.00 46.00 35 19 24 64 15.00 5.00 38 77 121
27 55.00 34.00 43 20 50 65 50.00 70.00 19 79 105
28 35.00 16.00 26 76 47 66 57.00 72.00 47 44 72
29 52.00 26.00 43 28 84 67 45.00 42.00 18 61 143
30 43.00 26.00 41 38 24 68 38.00 33.00 28 68 138
31 31.00 76.00 39 20 100 69 50.00 4.00 22 73 89
32 22.00 53.00 29 79 47 70 66.00 8.00 46 37 87
33 26.00 29.00 47 24 31 71 59.00 5.00 18 69 139
34 50.00 40.00 46 59 24 72 35.00 60.00 16 57 143
35 55.00 50.00 35 22 133 73 27.00 24.00 23 58 74
36 54.00 10.00 33 68 42 74 40.00 20.00 40 32 103
37 60.00 15.00 47 17 52 75 40.00 37.00 18 75 124
Note: demands are denoted by D2 for S76D2, D3 for S76D3, and D4 for S76D4.
175
Table A.13: Node locations and demands for S101D2, S101D3, and S101D5.
No. x y D2 D3 D5 No. x y D2 D3 D5
0 35.00 35.00 0 0 0 35 63.00 65.00 41 29 75
1 41.00 49.00 38 21 52 36 2.00 60.00 39 79 108
2 35.00 17.00 18 33 59 37 20.00 20.00 40 33 64
3 55.00 45.00 31 79 62 38 5.00 5.00 28 22 89
4 55.00 20.00 24 29 103 39 60.00 12.00 46 25 88
5 15.00 30.00 26 37 52 40 40.00 25.00 44 78 101
6 25.00 30.00 18 45 63 41 42.00 7.00 36 22 69
7 20.00 50.00 41 75 63 42 24.00 12.00 31 49 104
8 10.00 43.00 23 33 83 43 23.00 3.00 47 23 100
9 55.00 60.00 18 60 52 44 11.00 14.00 47 71 93
10 30.00 60.00 18 58 88 45 6.00 38.00 32 17 75
11 20.00 65.00 47 68 63 46 2.00 48.00 35 70 111
12 50.00 35.00 21 38 57 47 8.00 56.00 45 21 108
13 30.00 25.00 30 74 52 48 13.00 52.00 47 57 85
14 15.00 10.00 18 69 106 49 6.00 68.00 28 24 83
15 30.00 5.00 46 60 61 50 47.00 47.00 39 79 110
16 10.00 20.00 18 44 64 51 49.00 58.00 40 20 111
17 5.00 30.00 40 79 52 52 27.00 43.00 42 35 77
18 20.00 40.00 19 77 111 53 37.00 31.00 26 29 91
19 15.00 60.00 39 52 57 54 57.00 29.00 43 75 102
20 45.00 65.00 16 52 86 55 63.00 23.00 34 20 107
21 45.00 20.00 45 77 53 56 53.00 12.00 33 22 71
22 45.00 10.00 20 79 104 57 32.00 12.00 23 31 99
23 55.00 5.00 27 44 50 58 36.00 26.00 46 59 91
24 65.00 35.00 21 60 102 59 21.00 24.00 28 20 94
25 65.00 20.00 47 69 55 60 17.00 34.00 20 48 65
26 45.00 30.00 21 74 84 61 12.00 24.00 21 31 106
27 35.00 40.00 18 38 53 62 24.00 58.00 47 34 79
28 41.00 37.00 27 68 110 63 27.00 69.00 22 20 72
29 64.00 42.00 47 58 57 64 15.00 77.00 25 69 61
30 40.00 60.00 23 59 58 65 62.00 77.00 20 30 111
31 31.00 52.00 31 33 64 66 49.00 73.00 46 24 67
32 35.00 69.00 33 75 111 67 67.00 5.00 17 20 50
33 53.00 52.00 44 45 60 68 56.00 39.00 37 79 58
34 65.00 55.00 25 36 65 69 37.00 47.00 19 26 111
(cont.)
176
Table A.13 continued.
No. x y D2 D3 D5 No. x y D2 D3 D5
70 37.00 56.00 41 48 56 86 4.00 18.00 37 77 63
71 57.00 68.00 18 21 77 87 28.00 18.00 23 31 94
72 47.00 16.00 45 76 55 88 26.00 52.00 19 50 52
73 44.00 17.00 18 21 105 89 26.00 35.00 18 52 77
74 46.00 13.00 32 66 48 90 31.00 67.00 45 71 64
75 49.00 11.00 21 22 99 91 15.00 19.00 22 35 70
76 49.00 42.00 47 60 54 92 22.00 22.00 25 68 52
77 53.00 43.00 18 18 91 93 18.00 24.00 18 64 98
78 61.00 52.00 20 76 55 94 26.00 27.00 47 64 62
79 57.00 48.00 23 24 111 95 25.00 24.00 20 41 52
80 56.00 37.00 43 35 53 96 22.00 27.00 36 78 52
81 55.00 54.00 18 28 71 97 25.00 21.00 18 74 110
82 15.00 47.00 24 79 60 98 19.00 21.00 43 55 59
83 14.00 37.00 23 27 109 99 20.00 26.00 17 48 77
84 11.00 31.00 32 24 52 100 18.00 18.00 43 79 53
85 16.00 22.00 18 40 50
Note: demands are denoted by D2 for S101D2, D3 for S101D3, and D5 for S101D5.
Table A.14: Node locations and demands for SD1 and MDA1.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 5 20.00 0.00 60 94 87 78 66
1 10.00 0.00 60 56 63 72 84 6 0.00 20.00 90 94 87 78 66
2 0.00 10.00 90 56 63 72 84 7 -20.00 0.00 60 94 87 78 66
3 -10.00 0.00 60 56 63 72 84 8 0.00 -20.00 90 94 87 78 66
4 0.00 -10.00 90 56 63 72 84
Note: demands are denoted by D for SD1 and Dp for MDA1 with p = .1, .2, .3, .4.
177
Table A.15: Node locations and demands for SD2 and MDA2.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 9 30.00 0.00 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 10 0.00 30.00 90 56 63 72 84
2 0.00 10.00 90 56 63 72 84 11 -30.00 0.00 60 56 63 72 84
3 -10.00 0.00 60 56 63 72 84 12 0.00 -30.00 90 56 63 72 84
4 0.00 -10.00 90 56 63 72 84 13 40.00 0.00 60 94 87 78 66
5 20.00 0.00 60 94 87 78 66 14 0.00 40.00 90 94 87 78 66
6 0.00 20.00 90 94 87 78 66 15 -40.00 0.00 60 94 87 78 66
7 -20.00 0.00 60 94 87 78 66 16 -0.01 -40.00 90 94 87 78 66
8 0.00 -20.00 90 94 87 78 66
Note: demands are denoted by D for SD2 and Dp for MDA2 with p = .1, .2, .3, .4.
Table A.16: Node locations and demands for SD3 and MDA3.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 9 20.00 0.00 60 94 87 78 66
1 10.00 0.00 60 56 63 72 84 10 14.14 14.14 90 94 87 78 66
2 7.07 7.07 90 56 63 72 84 11 0.00 20.00 60 94 87 78 66
3 0.00 10.00 60 56 63 72 84 12 -14.14 14.14 90 94 87 78 66
4 -7.07 7.07 90 56 63 72 84 13 -20.00 0.00 60 94 87 78 66
5 -10.00 0.00 60 56 63 72 84 14 -14.14 -14.14 90 94 87 78 66
6 -7.07 -7.07 90 56 63 72 84 15 0.00 -20.00 60 94 87 78 66
7 0.00 -10.00 60 56 63 72 84 16 14.14 -14.14 90 94 87 78 66
8 7.07 -7.07 90 56 63 72 84
Note: demands are denoted by D for SD3 and Dp for MDA3 with p = .1, .2, .3, .4.
178
Table A.17: Node locations and demands for SD4 and MDA4.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 13 20.00 0.00 60 94 87 78 66
1 10.00 0.00 60 56 63 72 84 14 17.32 10.00 90 94 87 78 66
2 8.66 5.00 90 56 63 72 84 15 10.00 17.32 60 94 87 78 66
3 5.00 8.66 60 56 63 72 84 16 0.00 20.00 90 94 87 78 66
4 0.00 10.00 90 56 63 72 84 17 -10.00 17.32 60 94 87 78 66
5 -5.00 8.66 60 56 63 72 84 18 -17.32 10.00 90 94 87 78 66
6 -8.66 5.00 90 56 63 72 84 19 -20.00 0.00 60 94 87 78 66
7 -10.00 0.00 60 56 63 72 84 20 -17.32 -10.00 90 94 87 78 66
8 -8.66 -5.00 90 56 63 72 84 21 -10.00 -17.32 60 94 87 78 66
9 -5.00 -8.66 60 56 63 72 84 22 0.00 -20.00 90 94 87 78 66
10 0.00 -10.00 90 56 63 72 84 23 10.00 -17.32 60 94 87 78 66
11 5.00 -8.66 60 56 63 72 84 24 17.32 -10.00 90 94 87 78 66
12 8.66 -5.00 90 56 63 72 84
Note: demands are denoted by D for SD4 and Dp for MDA4 with p = .1, .2, .3, .4.
179
Table A.18: Node locations and demands for SD5 and MDA5.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 17 30.00 0.00 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 18 21.21 21.21 90 56 63 72 84
2 7.07 7.07 90 56 63 72 84 19 0.00 30.00 60 56 63 72 84
3 0.00 10.00 60 56 63 72 84 20 -21.21 21.21 90 56 63 72 84
4 -7.07 7.07 90 56 63 72 84 21 -30.00 0.00 60 56 63 72 84
5 -10.00 0.00 60 56 63 72 84 22 -21.22 -21.21 90 56 63 72 84
6 -7.07 -7.07 90 56 63 72 84 23 0.00 -30.00 60 56 63 72 84
7 0.00 -10.00 60 56 63 72 84 24 21.21 -21.22 90 56 63 72 84
8 7.07 -7.07 90 56 63 72 84 25 40.00 0.00 60 94 87 78 66
9 20.00 0.00 60 94 87 78 66 26 28.28 28.28 90 94 87 78 66
10 14.14 14.14 90 94 87 78 66 27 0.00 40.00 60 94 87 78 66
11 0.00 20.00 60 94 87 78 66 28 -28.28 28.29 90 94 87 78 66
12 -14.14 14.14 90 94 87 78 66 29 -40.00 0.00 60 94 87 78 66
13 -20.00 0.00 60 94 87 78 66 30 -28.29 -28.28 90 94 87 78 66
14 -14.14 -14.14 90 94 87 78 66 31 -0.01 -40.00 60 94 87 78 66
15 0.00 -20.00 60 94 87 78 66 32 28.28 -28.29 90 94 87 78 66
16 14.14 -14.14 90 94 87 78 66
Note: demands are denoted by D for SD5 and Dp for MDA5 with p = .1, .2, .3, .4.
180
Table A.19: Node locations and demands for SD6 and MDA6.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 17 20.00 0.00 60 94 94 78 66
1 10.00 0.00 60 56 63 72 84 18 18.48 7.65 90 94 94 78 66
2 9.24 3.83 90 56 63 72 84 19 14.14 14.14 60 94 94 78 66
3 7.07 7.07 60 56 63 72 84 20 7.65 18.48 90 94 94 78 66
4 3.83 9.24 90 56 63 72 84 21 0.00 20.00 60 94 94 78 66
5 0.00 10.00 60 56 63 72 84 22 -7.65 18.48 90 94 94 78 66
6 -3.83 9.24 90 56 63 72 84 23 -14.14 14.14 60 94 94 78 66
7 -7.07 7.07 60 56 63 72 84 24 -18.48 7.66 90 94 94 78 66
8 -9.24 3.83 90 56 63 72 84 25 -20.00 0.00 60 94 94 78 66
9 -10.00 0.00 60 56 63 72 84 26 -18.48 -7.65 90 94 94 78 66
10 -9.24 -3.83 90 56 63 72 84 27 -14.14 -14.14 60 94 94 78 66
11 -7.07 -7.07 60 56 63 72 84 28 -7.66 -18.48 90 94 94 78 66
12 -3.83 -9.24 90 56 63 72 84 29 0.00 -20.00 60 94 94 78 66
13 0.00 -10.00 60 56 63 72 84 30 7.65 -18.48 90 94 94 78 66
14 3.83 -9.24 90 56 63 72 84 31 14.14 -14.14 60 94 94 78 66
15 7.07 -7.07 60 56 63 72 84 32 18.48 -7.66 90 94 94 78 66
16 9.24 -3.83 90 56 63 72 84
Note: demands are denoted by D for SD6 and Dp for MDA6 with p = .1, .2, .3, .4.
181
Table A.20: Node locations and demands for SD7 and MDA7.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 21 60.00 0.00 60 94 87 78 66
1 10.00 0.00 60 56 63 72 84 22 0.00 60.00 90 94 87 78 66
2 0.00 10.00 90 56 63 72 84 23 -60.00 0.01 60 94 87 78 66
3 -10.00 0.00 60 56 63 72 84 24 -0.01 -60.00 90 94 87 78 66
4 0.00 -10.00 90 56 63 72 84 25 70.00 0.00 60 56 63 72 84
5 20.00 0.00 60 94 87 78 66 26 0.00 70.00 90 56 63 72 84
6 0.00 20.00 90 94 87 78 66 27 -70.00 0.01 60 56 63 72 84
7 -20.00 0.00 60 94 87 78 66 28 -0.01 -70.00 90 56 63 72 84
8 0.00 -20.00 90 94 87 78 66 29 80.00 0.00 60 94 87 78 66
9 30.00 0.00 60 56 63 72 84 30 0.00 80.00 90 94 87 78 66
10 0.00 30.00 90 56 63 72 84 31 -80.00 0.01 60 94 87 78 66
11 -30.00 0.00 60 56 63 72 84 32 -0.01 -80.00 90 94 87 78 66
12 0.00 -30.00 90 56 63 72 84 33 90.00 0.00 60 56 63 72 84
13 40.00 0.00 60 94 87 78 66 34 0.00 90.00 90 56 63 72 84
14 0.00 40.00 90 94 87 78 66 35 -90.00 0.01 60 56 63 72 84
15 -40.00 0.00 60 94 87 78 66 36 -0.01 -90.00 90 56 63 72 84
16 -0.01 -40.00 90 94 87 78 66 37 100.00 0.00 60 94 87 78 66
17 50.00 0.00 60 56 63 72 84 38 0.00 100.00 90 94 87 78 66
18 0.00 50.00 90 56 63 72 84 39 -100.00 0.01 60 94 87 78 66
19 -50.00 0.00 60 56 63 72 84 40 -0.01 -100.00 90 94 87 78 66
20 -0.01 -50.00 90 56 63 72 84
Note: demands are denoted by D for SD7 and Dp for MDA7 with p = .1, .2, .3, .4.
182
Table A.21: Node locations and demands for SD8 and MDA8.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 25 70.00 0.00 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 26 0.00 70.00 90 56 63 72 84
2 0.00 10.00 90 56 63 72 84 27 -70.00 0.01 60 56 63 72 84
3 -10.00 0.00 60 56 63 72 84 28 -0.01 -70.00 90 56 63 72 84
4 0.00 -10.00 90 56 63 72 84 29 80.00 0.00 60 94 87 78 66
5 20.00 0.00 60 94 87 78 66 30 0.00 80.00 90 94 87 78 66
6 0.00 20.00 90 94 87 78 66 31 -80.00 0.01 60 94 87 78 66
7 -20.00 0.00 60 94 87 78 66 32 -0.01 -80.00 90 94 87 78 66
8 0.00 -20.00 90 94 87 78 66 33 90.00 0.00 60 56 63 72 84
9 30.00 0.00 60 56 63 72 84 34 0.00 90.00 90 56 63 72 84
10 0.00 30.00 90 56 63 72 84 35 -90.00 0.01 60 56 63 72 84
11 -30.00 0.00 60 56 63 72 84 36 -0.01 -90.00 90 56 63 72 84
12 0.00 -30.00 90 56 63 72 84 37 100.00 0.00 60 94 87 78 66
13 40.00 0.00 60 94 87 78 66 38 0.00 100.00 90 94 87 78 66
14 0.00 40.00 90 94 87 78 66 39 -100.00 0.01 60 94 87 78 66
15 -40.00 0.00 60 94 87 78 66 40 -0.01 -100.00 90 94 87 78 66
16 -0.01 -40.00 90 94 87 78 66 41 110.00 0.00 60 56 63 72 84
17 50.00 0.00 60 56 63 72 84 42 0.01 110.00 90 56 63 72 84
18 0.00 50.00 90 56 63 72 84 43 -110.00 0.01 60 56 63 72 84
19 -50.00 0.00 60 56 63 72 84 44 -0.02 -110.00 90 56 63 72 84
20 -0.01 -50.00 90 56 63 72 84 45 120.00 0.00 60 94 87 78 66
21 60.00 0.00 60 94 87 78 66 46 0.01 120.00 90 94 87 78 66
22 0.00 60.00 90 94 87 78 66 47 -120.00 0.01 60 94 87 78 66
23 -60.00 0.01 60 94 87 78 66 48 -0.02 -120.00 90 94 87 78 66
24 -0.01 -60.00 90 94 87 78 66
Note: demands are denoted by D for SD8 and Dp for MDA8 with p = .1, .2, .3, .4.
183
Table A.22: Node locations and demands for SD9 and MDA9.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 25 30.00 0.00 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 26 25.98 15.00 90 56 63 72 84
2 8.66 5.00 90 56 63 72 84 27 15.00 25.98 60 56 63 72 84
3 5.00 8.66 60 56 63 72 84 28 0.00 30.00 90 56 63 72 84
4 0.00 10.00 90 56 63 72 84 29 -15.00 25.98 60 56 63 72 84
5 -5.00 8.66 60 56 63 72 84 30 -25.98 15.00 90 56 63 72 84
6 -8.66 5.00 90 56 63 72 84 31 -30.00 0.00 60 56 63 72 84
7 -10.00 0.00 60 56 63 72 84 32 -25.98 -15.00 90 56 63 72 84
8 -8.66 -5.00 90 56 63 72 84 33 -15.00 -25.98 60 56 63 72 84
9 -5.00 -8.66 60 56 63 72 84 34 0.00 -30.00 90 56 63 72 84
10 0.00 -10.00 90 56 63 72 84 35 15.00 -25.98 60 56 63 72 84
11 5.00 -8.66 60 56 63 72 84 36 25.98 -15.00 90 56 63 72 84
12 8.66 -5.00 90 56 63 72 84 37 40.00 0.00 60 94 87 78 66
13 20.00 0.00 60 94 87 78 66 38 34.64 20.00 90 94 87 78 66
14 17.32 10.00 90 94 87 78 66 39 20.00 34.64 60 94 87 78 66
15 10.00 17.32 60 94 87 78 66 40 0.00 40.00 90 94 87 78 66
16 0.00 20.00 90 94 87 78 66 41 -20.00 34.64 60 94 87 78 66
17 -10.00 17.32 60 94 87 78 66 42 -34.64 20.00 90 94 87 78 66
18 -17.32 10.00 90 94 87 78 66 43 -40.00 0.00 60 94 87 78 66
19 -20.00 0.00 60 94 87 78 66 44 -34.64 -20.00 90 94 87 78 66
20 -17.32 -10.00 90 94 87 78 66 45 -20.00 -34.64 60 94 87 78 66
21 -10.00 -17.32 60 94 87 78 66 46 -0.01 -40.00 90 94 87 78 66
22 0.00 -20.00 90 94 87 78 66 47 19.99 -34.64 60 94 87 78 66
23 10.00 -17.32 60 94 87 78 66 48 34.64 -20.01 90 94 87 78 66
24 17.32 -10.00 90 94 87 78 66
Note: demands are denoted by D for SD9 and Dp for MDA9 with p = .1, .2, .3, .4.
184
Table A.23: Node locations and demands for SD10 and MDA10.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 33 30.00 0.00 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 34 27.72 11.48 90 56 63 72 84
2 9.24 3.83 90 56 63 72 84 35 21.21 21.21 60 56 63 72 84
3 7.07 7.07 60 56 63 72 84 36 11.48 27.72 90 56 63 72 84
4 3.83 9.24 90 56 63 72 84 37 0.00 30.00 60 56 63 72 84
5 0.00 10.00 60 56 63 72 84 38 -11.48 27.72 90 56 63 72 84
6 -3.83 9.24 90 56 63 72 84 39 -21.21 21.21 60 56 63 72 84
7 -7.07 7.07 60 56 63 72 84 40 -27.72 11.48 90 56 63 72 84
8 -9.24 3.83 90 56 63 72 84 41 -30.00 0.00 60 56 63 72 84
9 -10.00 0.00 60 56 63 72 84 42 -27.72 -11.48 90 56 63 72 84
10 -9.24 -3.83 90 56 63 72 84 43 -21.22 -21.21 60 56 63 72 84
11 -7.07 -7.07 60 56 63 72 84 44 -11.48 -27.71 90 56 63 72 84
12 -3.83 -9.24 90 56 63 72 84 45 0.00 -30.00 60 56 63 72 84
13 0.00 -10.00 60 56 63 72 84 46 11.48 -27.72 90 56 63 72 84
14 3.83 -9.24 90 56 63 72 84 47 21.21 -21.22 60 56 63 72 84
15 7.07 -7.07 60 56 63 72 84 48 27.71 -11.49 90 56 63 72 84
16 9.24 -3.83 90 56 63 72 84 49 40.00 0.00 60 94 87 78 66
17 20.00 0.00 60 94 87 78 66 50 36.96 15.31 90 94 87 78 66
18 18.48 7.65 90 94 87 78 66 51 28.28 28.28 60 94 87 78 66
19 14.14 14.14 60 94 87 78 66 52 15.31 36.95 90 94 87 78 66
20 7.65 18.48 90 94 87 78 66 53 0.00 40.00 60 94 87 78 66
21 0.00 20.00 60 94 87 78 66 54 -15.31 36.96 90 94 87 78 66
22 -7.65 18.48 90 94 87 78 66 55 -28.28 28.29 60 94 87 78 66
23 -14.14 14.14 60 94 87 78 66 56 -36.95 15.31 90 94 87 78 66
24 -18.48 7.66 90 94 87 78 66 57 -40.00 0.00 60 94 87 78 66
25 -20.00 0.00 60 94 87 78 66 58 -36.96 -15.30 90 94 87 78 66
26 -18.48 -7.65 90 94 87 78 66 59 -28.29 -28.28 60 94 87 78 66
27 -14.14 -14.14 60 94 87 78 66 60 -15.31 -36.95 90 94 87 78 66
28 -7.66 -18.48 90 94 87 78 66 61 -0.01 -40.00 60 94 87 78 66
29 0.00 -20.00 60 94 87 78 66 62 15.30 -36.96 90 94 87 78 66
30 7.65 -18.48 90 94 87 78 66 63 28.28 -28.29 60 94 87 78 66
31 14.14 -14.14 60 94 87 78 66 64 36.95 -15.31 90 94 87 78 66
32 18.48 -7.66 90 94 87 78 66
Note: demands are denoted by D for SD10 and Dp for MDA10 with p = .1, .2, .3, .4.
185
Table A.24: Node locations and demands for SD11 and MDA11.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 -90.00 0.01 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 -0.01 -90.00 90 56 63 72 84
2 0.00 10.00 90 56 63 72 84 37 100.00 0.00 60 94 87 78 66
3 -10.00 0.00 60 56 63 72 84 38 0.00 100.00 90 94 87 78 66
4 0.00 -10.00 90 56 63 72 84 39 -100.00 0.01 60 94 87 78 66
5 20.00 0.00 60 94 87 78 66 40 -0.01 -100.00 90 94 87 78 66
6 0.00 20.00 90 94 87 78 66 41 110.00 0.00 60 56 63 72 84
7 -20.00 0.00 60 94 87 78 66 42 0.01 110.00 90 56 63 72 84
8 0.00 -20.00 90 94 87 78 66 43 -110.00 0.01 60 56 63 72 84
9 30.00 0.00 60 56 63 72 84 44 -0.02 -110.00 90 56 63 72 84
10 0.00 30.00 90 56 63 72 84 45 120.00 0.00 60 94 87 78 66
11 -30.00 0.00 60 56 63 72 84 46 0.01 120.00 90 94 87 78 66
12 0.00 -30.00 90 56 63 72 84 47 -120.00 0.01 60 94 87 78 66
13 40.00 0.00 60 94 87 78 66 48 -0.02 -120.00 90 94 87 78 66
14 0.00 40.00 90 94 87 78 66 49 130.00 0.00 60 56 63 72 84
15 -40.00 0.00 60 94 87 78 66 50 0.01 130.00 90 56 63 72 84
16 -0.01 -40.00 90 94 87 78 66 51 -130.00 0.01 60 56 63 72 84
17 50.00 0.00 60 56 63 72 84 52 -0.02 -130.00 90 56 63 72 84
18 0.00 50.00 90 56 63 72 84 53 140.00 0.00 60 94 87 78 66
19 -50.00 0.00 60 56 63 72 84 54 0.01 140.00 90 94 87 78 66
20 -0.01 -50.00 90 56 63 72 84 55 -140.00 0.01 60 94 87 78 66
21 60.00 0.00 60 94 87 78 66 56 -0.02 -140.00 90 94 87 78 66
22 0.00 60.00 90 94 87 78 66 57 150.00 0.00 60 56 63 72 84
23 -60.00 0.01 60 94 87 78 66 58 0.01 150.00 90 56 63 72 84
24 -0.01 -60.00 90 94 87 78 66 59 -150.00 0.01 60 56 63 72 84
25 70.00 0.00 60 56 63 72 84 60 -0.02 -150.00 90 56 63 72 84
26 0.00 70.00 90 56 63 72 84 61 160.00 0.00 60 94 87 78 66
27 -70.00 0.01 60 56 63 72 84 62 0.01 160.00 90 94 87 78 66
28 -0.01 -70.00 90 56 63 72 84 63 -160.00 0.01 60 94 87 78 66
29 80.00 0.00 60 94 87 78 66 64 -0.02 -160.00 90 94 87 78 66
30 0.00 80.00 90 94 87 78 66 65 170.00 0.00 60 56 63 72 84
31 -80.00 0.01 60 94 87 78 66 66 0.01 170.00 90 56 63 72 84
32 -0.01 -80.00 90 94 87 78 66 67 -170.00 0.02 60 56 63 72 84
33 90.00 0.00 60 56 63 72 84 68 -0.02 -170.00 90 56 63 72 84
34 0.00 90.00 90 56 63 72 84 69 180.00 0.00 60 94 87 78 66
(cont.)
186
Table A.24 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 0.01 180.00 90 94 87 78 66 76 -0.03 -190.00 90 56 63 72 84
71 -180.00 0.02 60 94 87 78 66 77 200.00 0.00 60 94 87 78 66
72 -0.03 -180.00 90 94 87 78 66 78 0.01 200.00 90 94 87 78 66
73 190.00 0.00 60 56 63 72 84 79 -200.00 0.02 60 94 87 78 66
74 0.01 190.00 90 56 63 72 84 80 -0.03 -200.00 90 94 87 78 66
75 -190.00 0.02 60 56 63 72 84
Note: demands are denoted by D for SD11 and Dp for MDA11 with p = .1, .2, .3, .4.
187
Table A.25: Node locations and demands for SD12 and MDA12.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 0.00 50.00 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 -35.35 35.36 90 56 63 72 84
2 7.07 7.07 90 56 63 72 84 37 -50.00 0.00 60 56 63 72 84
3 0.00 10.00 60 56 63 72 84 38 -35.36 -35.35 90 56 63 72 84
4 -7.07 7.07 90 56 63 72 84 39 -0.01 -50.00 60 56 63 72 84
5 -10.00 0.00 60 56 63 72 84 40 35.35 -35.36 90 56 63 72 84
6 -7.07 -7.07 90 56 63 72 84 41 60.00 0.00 60 94 87 78 66
7 0.00 -10.00 60 56 63 72 84 42 42.43 42.43 90 94 87 78 66
8 7.07 -7.07 90 56 63 72 84 43 0.00 60.00 60 94 87 78 66
9 20.00 0.00 60 94 87 78 66 44 -42.42 42.43 90 94 87 78 66
10 14.14 14.14 90 94 87 78 66 45 -60.00 0.01 60 94 87 78 66
11 0.00 20.00 60 94 87 78 66 46 -42.43 -42.42 90 94 87 78 66
12 -14.14 14.14 90 94 87 78 66 47 -0.01 -60.00 60 94 87 78 66
13 -20.00 0.00 60 94 87 78 66 48 42.42 -42.43 90 94 87 78 66
14 -14.14 -14.14 90 94 87 78 66 49 70.00 0.00 60 56 63 72 84
15 0.00 -20.00 60 94 87 78 66 50 49.50 49.50 90 56 63 72 84
16 14.14 -14.14 90 94 87 78 66 51 0.00 70.00 60 56 63 72 84
17 30.00 0.00 60 56 63 72 84 52 -49.49 49.50 90 56 63 72 84
18 21.21 21.21 90 56 63 72 84 53 -70.00 0.01 60 56 63 72 84
19 0.00 30.00 60 56 63 72 84 54 -49.50 -49.49 90 56 63 72 84
20 -21.21 21.21 90 56 63 72 84 55 -0.01 -70.00 60 56 63 72 84
21 -30.00 0.00 60 56 63 72 84 56 49.49 -49.51 90 56 63 72 84
22 -21.22 -21.21 90 56 63 72 84 57 80.00 0.00 60 94 87 78 66
23 0.00 -30.00 60 56 63 72 84 58 56.57 56.57 90 94 87 78 66
24 21.21 -21.22 90 56 63 72 84 59 0.00 80.00 60 94 87 78 66
25 40.00 0.00 60 94 87 78 66 60 -56.56 56.57 90 94 87 78 66
26 28.28 28.28 90 94 87 78 66 61 -80.00 0.01 60 94 87 78 66
27 0.00 40.00 60 94 87 78 66 62 -56.58 -56.56 90 94 87 78 66
28 -28.28 28.29 90 94 87 78 66 63 -0.01 -80.00 60 94 87 78 66
29 -40.00 0.00 60 94 87 78 66 64 56.56 -56.58 90 94 87 78 66
30 -28.29 -28.28 90 94 87 78 66 65 90.00 0.00 60 56 63 72 84
31 -0.01 -40.00 60 94 87 78 66 66 63.64 63.64 90 56 63 72 84
32 28.28 -28.29 90 94 87 78 66 67 0.00 90.00 60 56 63 72 84
33 50.00 0.00 60 56 63 72 84 68 -63.64 63.64 90 56 63 72 84
34 35.36 35.35 90 56 63 72 84 69 -90.00 0.01 60 56 63 72 84
(cont.)
188
Table A.25 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 -63.65 -63.63 90 56 63 72 84 76 -70.71 70.72 90 94 87 78 66
71 -0.01 -90.00 60 56 63 72 84 77 -100.00 0.01 60 94 87 78 66
72 63.63 -63.65 90 56 63 72 84 78 -70.72 -70.70 90 94 87 78 66
73 100.00 0.00 60 94 87 78 66 79 -0.01 -100.00 60 94 87 78 66
74 70.71 70.71 90 94 87 78 66 80 70.70 -70.72 90 94 87 78 66
75 0.00 100.00 60 94 87 78 66
Note: demands are denoted by D for SD12 and Dp for MDA12 with p = .1, .2, .3, .4.
189
Table A.26: Node locations and demands for SD13 and MDA13.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 0.00 50.00 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 -35.35 35.36 90 56 63 72 84
2 7.07 7.07 90 56 63 72 84 37 -50.00 0.00 60 56 63 72 84
3 0.00 10.00 60 56 63 72 84 38 -35.36 -35.35 90 56 63 72 84
4 -7.07 7.07 90 56 63 72 84 39 -0.01 -50.00 60 56 63 72 84
5 -10.00 0.00 60 56 63 72 84 40 35.35 -35.36 90 56 63 72 84
6 -7.07 -7.07 90 56 63 72 84 41 60.00 0.00 60 94 87 78 66
7 0.00 -10.00 60 56 63 72 84 42 42.43 42.43 90 94 87 78 66
8 7.07 -7.07 90 56 63 72 84 43 0.00 60.00 60 94 87 78 66
9 20.00 0.00 60 94 87 78 66 44 -42.42 42.43 90 94 87 78 66
10 14.14 14.14 90 94 87 78 66 45 -60.00 0.01 60 94 87 78 66
11 0.00 20.00 60 94 87 78 66 46 -42.43 -42.42 90 94 87 78 66
12 -14.14 14.14 90 94 87 78 66 47 -0.01 -60.00 60 94 87 78 66
13 -20.00 0.00 60 94 87 78 66 48 42.42 -42.43 90 94 87 78 66
14 -14.14 -14.14 90 94 87 78 66 49 70.00 0.00 60 56 63 72 84
15 0.00 -20.00 60 94 87 78 66 50 49.50 49.50 90 56 63 72 84
16 14.14 -14.14 90 94 87 78 66 51 0.00 70.00 60 56 63 72 84
17 30.00 0.00 60 56 63 72 84 52 -49.49 49.50 90 56 63 72 84
18 21.21 21.21 90 56 63 72 84 53 -70.00 0.01 60 56 63 72 84
19 0.00 30.00 60 56 63 72 84 54 -49.50 -49.49 90 56 63 72 84
20 -21.21 21.21 90 56 63 72 84 55 -0.01 -70.00 60 56 63 72 84
21 -30.00 0.00 60 56 63 72 84 56 49.49 -49.51 90 56 63 72 84
22 -21.22 -21.21 90 56 63 72 84 57 80.00 0.00 60 94 87 78 66
23 0.00 -30.00 60 56 63 72 84 58 56.57 56.57 90 94 87 78 66
24 21.21 -21.22 90 56 63 72 84 59 0.00 80.00 60 94 87 78 66
25 40.00 0.00 60 94 87 78 66 60 -56.56 56.57 90 94 87 78 66
26 28.28 28.28 90 94 87 78 66 61 -80.00 0.01 60 94 87 78 66
27 0.00 40.00 60 94 87 78 66 62 -56.58 -56.56 90 94 87 78 66
28 -28.28 28.29 90 94 87 78 66 63 -0.01 -80.00 60 94 87 78 66
29 -40.00 0.00 60 94 87 78 66 64 56.56 -56.58 90 94 87 78 66
30 -28.29 -28.28 90 94 87 78 66 65 90.00 0.00 60 56 63 72 84
31 -0.01 -40.00 60 94 87 78 66 66 63.64 63.64 90 56 63 72 84
32 28.28 -28.29 90 94 87 78 66 67 0.00 90.00 60 56 63 72 84
33 50.00 0.00 60 56 63 72 84 68 -63.64 63.64 90 56 63 72 84
34 35.36 35.35 90 56 63 72 84 69 -90.00 0.01 60 56 63 72 84
(cont.)
190
Table A.26 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 -63.65 -63.63 90 56 63 72 84 84 -77.78 77.79 90 56 63 72 84
71 -0.01 -90.00 60 56 63 72 84 85 -110.00 0.01 60 56 63 72 84
72 63.63 -63.65 90 56 63 72 84 86 -77.79 -77.77 90 56 63 72 84
73 100.00 0.00 60 94 87 78 66 87 -0.02 -110.00 60 56 63 72 84
74 70.71 70.71 90 94 87 78 66 88 77.77 -77.79 90 56 63 72 84
75 0.00 100.00 60 94 87 78 66 89 120.00 0.00 60 94 87 78 66
76 -70.71 70.72 90 94 87 78 66 90 84.85 84.85 90 94 87 78 66
77 -100.00 0.01 60 94 87 78 66 91 0.01 120.00 60 94 87 78 66
78 -70.72 -70.70 90 94 87 78 66 92 -84.85 84.86 90 94 87 78 66
79 -0.01 -100.00 60 94 87 78 66 93 -120.00 0.01 60 94 87 78 66
80 70.70 -70.72 90 94 87 78 66 94 -84.86 -84.84 90 94 87 78 66
81 110.00 0.00 60 56 63 72 84 95 -0.02 -120.00 60 94 87 78 66
82 77.78 77.78 90 56 63 72 84 96 84.84 -84.87 90 94 87 78 66
83 0.01 110.00 60 56 63 72 84
Note: demands are denoted by D for SD13 and Dp for MDA13 with p = .1, .2, .3, .4.
191
Table A.27: Node locations and demands for SD14 and MDA14.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 15.00 -25.98 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 25.98 -15.00 90 56 63 72 84
2 8.66 5.00 90 56 63 72 84 37 40.00 0.00 60 94 87 78 66
3 5.00 8.66 60 56 63 72 84 38 34.64 20.00 90 94 87 78 66
4 0.00 10.00 90 56 63 72 84 39 20.00 34.64 60 94 87 78 66
5 -5.00 8.66 60 56 63 72 84 40 0.00 40.00 90 94 87 78 66
6 -8.66 5.00 90 56 63 72 84 41 -20.00 34.64 60 94 87 78 66
7 -10.00 0.00 60 56 63 72 84 42 -34.64 20.00 90 94 87 78 66
8 -8.66 -5.00 90 56 63 72 84 43 -40.00 0.00 60 94 87 78 66
9 -5.00 -8.66 60 56 63 72 84 44 -34.64 -20.00 90 94 87 78 66
10 0.00 -10.00 90 56 63 72 84 45 -20.00 -34.64 60 94 87 78 66
11 5.00 -8.66 60 56 63 72 84 46 -0.01 -40.00 90 94 87 78 66
12 8.66 -5.00 90 56 63 72 84 47 19.99 -34.64 60 94 87 78 66
13 20.00 0.00 60 94 87 78 66 48 34.64 -20.01 90 94 87 78 66
14 17.32 10.00 90 94 87 78 66 49 50.00 0.00 60 56 63 72 84
15 10.00 17.32 60 94 87 78 66 50 43.30 25.00 90 56 63 72 84
16 0.00 20.00 90 94 87 78 66 51 25.00 43.30 60 56 63 72 84
17 -10.00 17.32 60 94 87 78 66 52 0.00 50.00 90 56 63 72 84
18 -17.32 10.00 90 94 87 78 66 53 -25.00 43.30 60 56 63 72 84
19 -20.00 0.00 60 94 87 78 66 54 -43.30 25.00 90 56 63 72 84
20 -17.32 -10.00 90 94 87 78 66 55 -50.00 0.00 60 56 63 72 84
21 -10.00 -17.32 60 94 87 78 66 56 -43.30 -25.00 90 56 63 72 84
22 0.00 -20.00 90 94 87 78 66 57 -25.01 -43.30 60 56 63 72 84
23 10.00 -17.32 60 94 87 78 66 58 -0.01 -50.00 90 56 63 72 84
24 17.32 -10.00 90 94 87 78 66 59 24.99 -43.31 60 56 63 72 84
25 30.00 0.00 60 56 63 72 84 60 43.30 -25.01 90 56 63 72 84
26 25.98 15.00 90 56 63 72 84 61 60.00 0.00 60 94 87 78 66
27 15.00 25.98 60 56 63 72 84 62 51.96 30.00 90 94 87 78 66
28 0.00 30.00 90 56 63 72 84 63 30.00 51.96 60 94 87 78 66
29 -15.00 25.98 60 56 63 72 84 64 0.00 60.00 90 94 87 78 66
30 -25.98 15.00 90 56 63 72 84 65 -30.00 51.96 60 94 87 78 66
31 -30.00 0.00 60 56 63 72 84 66 -51.96 30.00 90 94 87 78 66
32 -25.98 -15.00 90 56 63 72 84 67 -60.00 0.01 60 94 87 78 66
33 -15.00 -25.98 60 56 63 72 84 68 -51.96 -29.99 90 94 87 78 66
34 0.00 -30.00 90 56 63 72 84 69 -30.01 -51.96 60 94 87 78 66
(cont.)
192
Table A.27 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 -0.01 -60.00 90 94 87 78 66 96 69.28 -40.01 90 94 87 78 66
71 29.99 -51.97 60 94 87 78 66 97 90.00 0.00 60 56 63 72 84
72 51.96 -30.01 90 94 87 78 66 98 77.94 45.00 90 56 63 72 84
73 70.00 0.00 60 56 63 72 84 99 45.00 77.94 60 56 63 72 84
74 60.62 35.00 90 56 63 72 84 100 0.00 90.00 90 56 63 72 84
75 35.00 60.62 60 56 63 72 84 101 -45.00 77.95 60 56 63 72 84
76 0.00 70.00 90 56 63 72 84 102 -77.94 45.01 90 56 63 72 84
77 -35.00 60.62 60 56 63 72 84 103 -90.00 0.01 60 56 63 72 84
78 -60.62 35.00 90 56 63 72 84 104 -77.95 -44.99 90 56 63 72 84
79 -70.00 0.01 60 56 63 72 84 105 -45.01 -77.94 60 56 63 72 84
80 -60.63 -34.99 90 56 63 72 84 106 -0.01 -90.00 90 56 63 72 84
81 -35.01 -60.62 60 56 63 72 84 107 44.99 -77.95 60 56 63 72 84
82 -0.01 -70.00 90 56 63 72 84 108 77.93 -45.01 90 56 63 72 84
83 34.99 -60.63 60 56 63 72 84 109 100.00 0.00 60 94 87 78 66
84 60.62 -35.01 90 56 63 72 84 110 86.60 50.00 90 94 87 78 66
85 80.00 0.00 60 94 87 78 66 111 50.00 86.60 60 94 87 78 66
86 69.28 40.00 90 94 87 78 66 112 0.00 100.00 90 94 87 78 66
87 40.00 69.28 60 94 87 78 66 113 -49.99 86.61 60 94 87 78 66
88 0.00 80.00 90 94 87 78 66 114 -86.60 50.01 90 94 87 78 66
89 -40.00 69.28 60 94 87 78 66 115 -100.00 0.01 60 94 87 78 66
90 -69.28 40.01 90 94 87 78 66 116 -86.61 -49.99 90 94 87 78 66
91 -80.00 0.01 60 94 87 78 66 117 -50.01 -86.60 60 94 87 78 66
92 -69.29 -39.99 90 94 87 78 66 118 -0.01 -100.00 90 94 87 78 66
93 -40.01 -69.28 60 94 87 78 66 119 49.99 -86.61 60 94 87 78 66
94 -0.01 -80.00 90 94 87 78 66 120 86.59 -50.01 90 94 87 78 66
95 39.99 -69.29 60 94 87 78 66
Note: demands are denoted by D for SD14 and Dp for MDA14 with p = .1, .2, .3, .4.
193
Table A.28: Node locations and demands for SD15 and MDA15.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 15.00 -25.98 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 25.98 -15.00 90 56 63 72 84
2 8.66 5.00 90 56 63 72 84 37 40.00 0.00 60 94 87 78 66
3 5.00 8.66 60 56 63 72 84 38 34.64 20.00 90 94 87 78 66
4 0.00 10.00 90 56 63 72 84 39 20.00 34.64 60 94 87 78 66
5 -5.00 8.66 60 56 63 72 84 40 0.00 40.00 90 94 87 78 66
6 -8.66 5.00 90 56 63 72 84 41 -20.00 34.64 60 94 87 78 66
7 -10.00 0.00 60 56 63 72 84 42 -34.64 20.00 90 94 87 78 66
8 -8.66 -5.00 90 56 63 72 84 43 -40.00 0.00 60 94 87 78 66
9 -5.00 -8.66 60 56 63 72 84 44 -34.64 -20.00 90 94 87 78 66
10 0.00 -10.00 90 56 63 72 84 45 -20.00 -34.64 60 94 87 78 66
11 5.00 -8.66 60 56 63 72 84 46 -0.01 -40.00 90 94 87 78 66
12 8.66 -5.00 90 56 63 72 84 47 19.99 -34.64 60 94 87 78 66
13 20.00 0.00 60 94 87 78 66 48 34.64 -20.01 90 94 87 78 66
14 17.32 10.00 90 94 87 78 66 49 50.00 0.00 60 56 63 72 84
15 10.00 17.32 60 94 87 78 66 50 43.30 25.00 90 56 63 72 84
16 0.00 20.00 90 94 87 78 66 51 25.00 43.30 60 56 63 72 84
17 -10.00 17.32 60 94 87 78 66 52 0.00 50.00 90 56 63 72 84
18 -17.32 10.00 90 94 87 78 66 53 -25.00 43.30 60 56 63 72 84
19 -20.00 0.00 60 94 87 78 66 54 -43.30 25.00 90 56 63 72 84
20 -17.32 -10.00 90 94 87 78 66 55 -50.00 0.00 60 56 63 72 84
21 -10.00 -17.32 60 94 87 78 66 56 -43.30 -25.00 90 56 63 72 84
22 0.00 -20.00 90 94 87 78 66 57 -25.01 -43.30 60 56 63 72 84
23 10.00 -17.32 60 94 87 78 66 58 -0.01 -50.00 90 56 63 72 84
24 17.32 -10.00 90 94 87 78 66 59 24.99 -43.31 60 56 63 72 84
25 30.00 0.00 60 56 63 72 84 60 43.30 -25.01 90 56 63 72 84
26 25.98 15.00 90 56 63 72 84 61 60.00 0.00 60 94 87 78 66
27 15.00 25.98 60 56 63 72 84 62 51.96 30.00 90 94 87 78 66
28 0.00 30.00 90 56 63 72 84 63 30.00 51.96 60 94 87 78 66
29 -15.00 25.98 60 56 63 72 84 64 0.00 60.00 90 94 87 78 66
30 -25.98 15.00 90 56 63 72 84 65 -30.00 51.96 60 94 87 78 66
31 -30.00 0.00 60 56 63 72 84 66 -51.96 30.00 90 94 87 78 66
32 -25.98 -15.00 90 56 63 72 84 67 -60.00 0.01 60 94 87 78 66
33 -15.00 -25.98 60 56 63 72 84 68 -51.96 -29.99 90 94 87 78 66
34 0.00 -30.00 90 56 63 72 84 69 -30.01 -51.96 60 94 87 78 66
(cont.)
194
Table A.28 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 -0.01 -60.00 90 94 87 78 66 108 77.93 -45.01 90 56 63 72 84
71 29.99 -51.97 60 94 87 78 66 109 100.00 0.00 60 94 87 78 66
72 51.96 -30.01 90 94 87 78 66 110 86.60 50.00 90 94 87 78 66
73 70.00 0.00 60 56 63 72 84 111 50.00 86.60 60 94 87 78 66
74 60.62 35.00 90 56 63 72 84 112 0.00 100.00 90 94 87 78 66
75 35.00 60.62 60 56 63 72 84 113 -49.99 86.61 60 94 87 78 66
76 0.00 70.00 90 56 63 72 84 114 -86.60 50.01 90 94 87 78 66
77 -35.00 60.62 60 56 63 72 84 115 -100.00 0.01 60 94 87 78 66
78 -60.62 35.00 90 56 63 72 84 116 -86.61 -49.99 90 94 87 78 66
79 -70.00 0.01 60 56 63 72 84 117 -50.01 -86.60 60 94 87 78 66
80 -60.63 -34.99 90 56 63 72 84 118 -0.01 -100.00 90 94 87 78 66
81 -35.01 -60.62 60 56 63 72 84 119 49.99 -86.61 60 94 87 78 66
82 -0.01 -70.00 90 56 63 72 84 120 86.59 -50.01 90 94 87 78 66
83 34.99 -60.63 60 56 63 72 84 121 110.00 0.00 60 56 63 72 84
84 60.62 -35.01 90 56 63 72 84 122 95.26 55.00 90 56 63 72 84
85 80.00 0.00 60 94 87 78 66 123 55.00 95.26 60 56 63 72 84
86 69.28 40.00 90 94 87 78 66 124 0.01 110.00 90 56 63 72 84
87 40.00 69.28 60 94 87 78 66 125 -54.99 95.27 60 56 63 72 84
88 0.00 80.00 90 94 87 78 66 126 -95.26 55.01 90 56 63 72 84
89 -40.00 69.28 60 94 87 78 66 127 -110.00 0.01 60 56 63 72 84
90 -69.28 40.01 90 94 87 78 66 128 -95.27 -54.99 90 56 63 72 84
91 -80.00 0.01 60 94 87 78 66 129 -55.01 -95.26 60 56 63 72 84
92 -69.29 -39.99 90 94 87 78 66 130 -0.02 -110.00 90 56 63 72 84
93 -40.01 -69.28 60 94 87 78 66 131 54.99 -95.27 60 56 63 72 84
94 -0.01 -80.00 90 94 87 78 66 132 95.25 -55.02 90 56 63 72 84
95 39.99 -69.29 60 94 87 78 66 133 120.00 0.00 60 94 87 78 66
96 69.28 -40.01 90 94 87 78 66 134 103.92 60.00 90 94 87 78 66
97 90.00 0.00 60 56 63 72 84 135 60.00 103.92 60 94 87 78 66
98 77.94 45.00 90 56 63 72 84 136 0.01 120.00 90 94 87 78 66
99 45.00 77.94 60 56 63 72 84 137 -59.99 103.93 60 94 87 78 66
100 0.00 90.00 90 56 63 72 84 138 -103.92 60.01 90 94 87 78 66
101 -45.00 77.95 60 56 63 72 84 139 -120.00 0.01 60 94 87 78 66
102 -77.94 45.01 90 56 63 72 84 140 -103.93 -59.99 90 94 87 78 66
103 -90.00 0.01 60 56 63 72 84 141 -60.01 -103.92 60 94 87 78 66
104 -77.95 -44.99 90 56 63 72 84 142 -0.02 -120.00 90 94 87 78 66
105 -45.01 -77.94 60 56 63 72 84 143 59.98 -103.93 60 94 87 78 66
106 -0.01 -90.00 90 56 63 72 84 144 103.91 -60.02 90 94 87 78 66
107 44.99 -77.95 60 56 63 72 84
Note: demands are denoted by D for SD15 and Dp for MDA15 with p = .1, .2, .3, .4.
195
Table A.29: Node locations and demands for SD16 and MDA16.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 -9.85 1.74 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 -9.96 0.87 90 56 63 72 84
2 9.96 0.87 90 56 63 72 84 37 -10.00 0.00 60 56 63 72 84
3 9.85 1.74 60 56 63 72 84 38 -9.96 -0.87 90 56 63 72 84
4 9.66 2.59 90 56 63 72 84 39 -9.85 -1.74 60 56 63 72 84
5 9.40 3.42 60 56 63 72 84 40 -9.66 -2.59 90 56 63 72 84
6 9.06 4.23 90 56 63 72 84 41 -9.40 -3.42 60 56 63 72 84
7 8.66 5.00 60 56 63 72 84 42 -9.06 -4.23 90 56 63 72 84
8 8.19 5.74 90 56 63 72 84 43 -8.66 -5.00 60 56 63 72 84
9 7.66 6.43 60 56 63 72 84 44 -8.19 -5.73 90 56 63 72 84
10 7.07 7.07 90 56 63 72 84 45 -7.66 -6.43 60 56 63 72 84
11 6.43 7.66 60 56 63 72 84 46 -7.07 -7.07 90 56 63 72 84
12 5.74 8.19 90 56 63 72 84 47 -6.43 -7.66 60 56 63 72 84
13 5.00 8.66 60 56 63 72 84 48 -5.74 -8.19 90 56 63 72 84
14 4.23 9.06 90 56 63 72 84 49 -5.00 -8.66 60 56 63 72 84
15 3.42 9.40 60 56 63 72 84 50 -4.23 -9.06 90 56 63 72 84
16 2.59 9.66 90 56 63 72 84 51 -3.42 -9.40 60 56 63 72 84
17 1.74 9.85 60 56 63 72 84 52 -2.59 -9.66 90 56 63 72 84
18 0.87 9.96 90 56 63 72 84 53 -1.74 -9.85 60 56 63 72 84
19 0.00 10.00 60 56 63 72 84 54 -0.87 -9.96 90 56 63 72 84
20 -0.87 9.96 90 56 63 72 84 55 0.00 -10.00 60 56 63 72 84
21 -1.74 9.85 60 56 63 72 84 56 0.87 -9.96 90 56 63 72 84
22 -2.59 9.66 90 56 63 72 84 57 1.74 -9.85 60 56 63 72 84
23 -3.42 9.40 60 56 63 72 84 58 2.59 -9.66 90 56 63 72 84
24 -4.23 9.06 90 56 63 72 84 59 3.42 -9.40 60 56 63 72 84
25 -5.00 8.66 60 56 63 72 84 60 4.22 -9.06 90 56 63 72 84
26 -5.74 8.19 90 56 63 72 84 61 5.00 -8.66 60 56 63 72 84
27 -6.43 7.66 60 56 63 72 84 62 5.73 -8.19 90 56 63 72 84
28 -7.07 7.07 90 56 63 72 84 63 6.43 -7.66 60 56 63 72 84
29 -7.66 6.43 60 56 63 72 84 64 7.07 -7.07 90 56 63 72 84
30 -8.19 5.74 90 56 63 72 84 65 7.66 -6.43 60 56 63 72 84
31 -8.66 5.00 60 56 63 72 84 66 8.19 -5.74 90 56 63 72 84
32 -9.06 4.23 90 56 63 72 84 67 8.66 -5.00 60 56 63 72 84
33 -9.40 3.42 60 56 63 72 84 68 9.06 -4.23 90 56 63 72 84
34 -9.66 2.59 90 56 63 72 84 69 9.40 -3.42 60 56 63 72 84
(cont.)
196
Table A.29 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 9.66 -2.59 90 56 63 72 84 108 -19.92 1.74 90 94 87 78 66
71 9.85 -1.74 60 56 63 72 84 109 -20.00 0.00 60 94 87 78 66
72 9.96 -0.87 90 56 63 72 84 110 -19.92 -1.74 90 94 87 78 66
73 20.00 0.00 60 94 87 78 66 111 -19.70 -3.47 60 94 87 78 66
74 19.92 1.74 90 94 87 78 66 112 -19.32 -5.17 90 94 87 78 66
75 19.70 3.47 60 94 87 78 66 113 -18.79 -6.84 60 94 87 78 66
76 19.32 5.18 90 94 87 78 66 114 -18.13 -8.45 90 94 87 78 66
77 18.79 6.84 60 94 87 78 66 115 -17.32 -10.00 60 94 87 78 66
78 18.13 8.45 90 94 87 78 66 116 -16.38 -11.47 90 94 87 78 66
79 17.32 10.00 60 94 87 78 66 117 -15.32 -12.85 60 94 87 78 66
80 16.38 11.47 90 94 87 78 66 118 -14.14 -14.14 90 94 87 78 66
81 15.32 12.86 60 94 87 78 66 119 -12.86 -15.32 60 94 87 78 66
82 14.14 14.14 90 94 87 78 66 120 -11.47 -16.38 90 94 87 78 66
83 12.86 15.32 60 94 87 78 66 121 -10.00 -17.32 60 94 87 78 66
84 11.47 16.38 90 94 87 78 66 122 -8.45 -18.13 90 94 87 78 66
85 10.00 17.32 60 94 87 78 66 123 -6.84 -18.79 60 94 87 78 66
86 8.45 18.13 90 94 87 78 66 124 -5.18 -19.32 90 94 87 78 66
87 6.84 18.79 60 94 87 78 66 125 -3.48 -19.70 60 94 87 78 66
88 5.18 19.32 90 94 87 78 66 126 -1.75 -19.92 90 94 87 78 66
89 3.47 19.70 60 94 87 78 66 127 0.00 -20.00 60 94 87 78 66
90 1.74 19.92 90 94 87 78 66 128 1.74 -19.92 90 94 87 78 66
91 0.00 20.00 60 94 87 78 66 129 3.47 -19.70 60 94 87 78 66
92 -1.74 19.92 90 94 87 78 66 130 5.17 -19.32 90 94 87 78 66
93 -3.47 19.70 60 94 87 78 66 131 6.84 -18.79 60 94 87 78 66
94 -5.18 19.32 90 94 87 78 66 132 8.45 -18.13 90 94 87 78 66
95 -6.84 18.79 60 94 87 78 66 133 10.00 -17.32 60 94 87 78 66
96 -8.45 18.13 90 94 87 78 66 134 11.47 -16.38 90 94 87 78 66
97 -10.00 17.32 60 94 87 78 66 135 12.85 -15.32 60 94 87 78 66
98 -11.47 16.38 90 94 87 78 66 136 14.14 -14.14 90 94 87 78 66
99 -12.85 15.32 60 94 87 78 66 137 15.32 -12.86 60 94 87 78 66
100 -14.14 14.14 90 94 87 78 66 138 16.38 -11.47 90 94 87 78 66
101 -15.32 12.86 60 94 87 78 66 139 17.32 -10.00 60 94 87 78 66
102 -16.38 11.47 90 94 87 78 66 140 18.12 -8.46 90 94 87 78 66
103 -17.32 10.00 60 94 87 78 66 141 18.79 -6.84 60 94 87 78 66
104 -18.13 8.45 90 94 87 78 66 142 19.32 -5.18 90 94 87 78 66
105 -18.79 6.84 60 94 87 78 66 143 19.70 -3.48 60 94 87 78 66
106 -19.32 5.18 90 94 87 78 66 144 19.92 -1.75 90 94 87 78 66
107 -19.70 3.47 60 94 87 78 66
Note: demands are denoted by D for SD16 and Dp for MDA16 with p = .1, .2, .3, .4.
197
Table A.30: Node locations and demands for SD17 and MDA17.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 0.00 50.00 60 56 63 84 84
1 10.00 0.00 60 56 63 84 84 36 -35.35 35.36 90 56 63 84 84
2 7.07 7.07 90 56 63 84 84 37 -50.00 0.00 60 56 63 84 84
3 0.00 10.00 60 56 63 84 84 38 -35.36 -35.35 90 56 63 84 84
4 -7.07 7.07 90 56 63 84 84 39 -0.01 -50.00 60 56 63 84 84
5 -10.00 0.00 60 56 63 84 84 40 35.35 -35.36 90 56 63 84 84
6 -7.07 -7.07 90 56 63 84 84 41 60.00 0.00 60 94 87 66 66
7 0.00 -10.00 60 56 63 84 84 42 42.43 42.43 90 94 87 66 66
8 7.07 -7.07 90 56 63 84 84 43 0.00 60.00 60 94 87 66 66
9 20.00 0.00 60 94 87 66 66 44 -42.42 42.43 90 94 87 66 66
10 14.14 14.14 90 94 87 66 66 45 -60.00 0.01 60 94 87 66 66
11 0.00 20.00 60 94 87 66 66 46 -42.43 -42.42 90 94 87 66 66
12 -14.14 14.14 90 94 87 66 66 47 -0.01 -60.00 60 94 87 66 66
13 -20.00 0.00 60 94 87 66 66 48 42.42 -42.43 90 94 87 66 66
14 -14.14 -14.14 90 94 87 66 66 49 70.00 0.00 60 56 63 84 84
15 0.00 -20.00 60 94 87 66 66 50 49.50 49.50 90 56 63 84 84
16 14.14 -14.14 90 94 87 66 66 51 0.00 70.00 60 56 63 84 84
17 30.00 0.00 60 56 63 84 84 52 -49.49 49.50 90 56 63 84 84
18 21.21 21.21 90 56 63 84 84 53 -70.00 0.01 60 56 63 84 84
19 0.00 30.00 60 56 63 84 84 54 -49.50 -49.49 90 56 63 84 84
20 -21.21 21.21 90 56 63 84 84 55 -0.01 -70.00 60 56 63 84 84
21 -30.00 0.00 60 56 63 84 84 56 49.49 -49.51 90 56 63 84 84
22 -21.22 -21.21 90 56 63 84 84 57 80.00 0.00 60 94 87 66 66
23 0.00 -30.00 60 56 63 84 84 58 56.57 56.57 90 94 87 66 66
24 21.21 -21.22 90 56 63 84 84 59 0.00 80.00 60 94 87 66 66
25 40.00 0.00 60 94 87 66 66 60 -56.56 56.57 90 94 87 66 66
26 28.28 28.28 90 94 87 66 66 61 -80.00 0.01 60 94 87 66 66
27 0.00 40.00 60 94 87 66 66 62 -56.58 -56.56 90 94 87 66 66
28 -28.28 28.29 90 94 87 66 66 63 -0.01 -80.00 60 94 87 66 66
29 -40.00 0.00 60 94 87 66 66 64 56.56 -56.58 90 94 87 66 66
30 -28.29 -28.28 90 94 87 66 66 65 90.00 0.00 60 56 63 84 84
31 -0.01 -40.00 60 94 87 66 66 66 63.64 63.64 90 56 63 84 84
32 28.28 -28.29 90 94 87 66 66 67 0.00 90.00 60 56 63 84 84
33 50.00 0.00 60 56 63 84 84 68 -63.64 63.64 90 56 63 84 84
34 35.36 35.35 90 56 63 84 84 69 -90.00 0.01 60 56 63 84 84
(cont.)
198
Table A.30 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 -63.65 -63.63 90 56 63 84 84 105 140.00 0.00 60 94 87 66 66
71 -0.01 -90.00 60 56 63 84 84 106 99.00 98.99 90 94 87 66 66
72 63.63 -63.65 90 56 63 84 84 107 0.01 140.00 60 94 87 66 66
73 100.00 0.00 60 94 87 66 66 108 -98.99 99.00 90 94 87 66 66
74 70.71 70.71 90 94 87 66 66 109 -140.00 0.01 60 94 87 66 66
75 0.00 100.00 60 94 87 66 66 110 -99.01 -98.98 90 94 87 66 66
76 -70.71 70.72 90 94 87 66 66 111 -0.02 -140.00 60 94 87 66 66
77 -100.00 0.01 60 94 87 66 66 112 98.98 -99.01 90 94 87 66 66
78 -70.72 -70.70 90 94 87 66 66 113 150.00 0.00 60 56 63 84 84
79 -0.01 -100.00 60 94 87 66 66 114 106.07 106.06 90 56 63 84 84
80 70.70 -70.72 90 94 87 66 66 115 0.01 150.00 60 56 63 84 84
81 110.00 0.00 60 56 63 84 84 116 -106.06 106.07 90 56 63 84 84
82 77.78 77.78 90 56 63 84 84 117 -150.00 0.01 60 56 63 84 84
83 0.01 110.00 60 56 63 84 84 118 -106.08 -106.05 90 56 63 84 84
84 -77.78 77.79 90 56 63 84 84 119 -0.02 -150.00 60 56 63 84 84
85 -110.00 0.01 60 56 63 84 84 120 106.05 -106.08 90 56 63 84 84
86 -77.79 -77.77 90 56 63 84 84 121 160.00 0.00 60 94 87 66 66
87 -0.02 -110.00 60 56 63 84 84 122 113.14 113.13 90 94 87 66 66
88 77.77 -77.79 90 56 63 84 84 123 0.01 160.00 60 94 87 66 66
89 120.00 0.00 60 94 87 66 66 124 -113.13 113.14 90 94 87 66 66
90 84.85 84.85 90 94 87 66 66 125 -160.00 0.01 60 94 87 66 66
91 0.01 120.00 60 94 87 66 66 126 -113.15 -113.12 90 94 87 66 66
92 -84.85 84.86 90 94 87 66 66 127 -0.02 -160.00 60 94 87 66 66
93 -120.00 0.01 60 94 87 66 66 128 113.12 -113.16 90 94 87 66 66
94 -84.86 -84.84 90 94 87 66 66 129 170.00 0.00 60 56 63 84 84
95 -0.02 -120.00 60 94 87 66 66 130 120.21 120.21 90 56 63 84 84
96 84.84 -84.87 90 94 87 66 66 131 0.01 170.00 60 56 63 84 84
97 130.00 0.00 60 56 63 84 84 132 -120.20 120.22 90 56 63 84 84
98 91.93 91.92 90 56 63 84 84 133 -170.00 0.02 60 56 63 84 84
99 0.01 130.00 60 56 63 84 84 134 -120.22 -120.19 90 56 63 84 84
100 -91.92 91.93 90 56 63 84 84 135 -0.02 -170.00 60 56 63 84 84
101 -130.00 0.01 60 56 63 84 84 136 120.19 -120.23 90 56 63 84 84
102 -91.93 -91.91 90 56 63 84 84 137 180.00 0.00 60 94 87 66 66
103 -0.02 -130.00 60 56 63 84 84 138 127.28 127.28 90 94 87 66 66
104 91.91 -91.94 90 56 63 84 84 139 0.01 180.00 60 94 87 66 66
(cont.)
199
Table A.30 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
140 -127.27 127.29 90 94 87 66 66 151 -0.03 -190.00 60 56 63 84 84
141 -180.00 0.02 60 94 87 66 66 152 134.33 -134.37 90 56 63 84 84
142 -127.29 -127.26 90 94 87 66 66 153 200.00 0.00 60 94 87 66 66
143 -0.03 -180.00 60 94 87 66 66 154 141.42 141.42 90 94 87 66 66
144 127.26 -127.30 90 94 87 66 66 155 0.01 200.00 60 94 87 66 66
145 190.00 0.00 60 56 63 84 84 156 -141.41 141.43 90 94 87 66 66
146 134.35 134.35 90 56 63 84 84 157 -200.00 0.02 60 94 87 66 66
147 0.01 190.00 60 56 63 84 84 158 -141.44 -141.40 90 94 87 66 66
148 -134.34 134.36 90 56 63 84 84 159 -0.03 -200.00 60 94 87 66 66
149 -190.00 0.02 60 56 63 84 84 160 141.40 -141.44 90 94 87 66 66
150 -134.37 -134.33 90 56 63 84 84
Note: demands are denoted by D for SD17 and Dp for MDA17 with p = .1, .2, .3, .4.
200
Table A.31: Node locations and demands for SD18 and MDA18.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 21.21 21.21 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 11.48 27.72 90 56 63 72 84
2 9.24 3.83 90 56 63 72 84 37 0.00 30.00 60 56 63 72 84
3 7.07 7.07 60 56 63 72 84 38 -11.48 27.72 90 56 63 72 84
4 3.83 9.24 90 56 63 72 84 39 -21.21 21.21 60 56 63 72 84
5 0.00 10.00 60 56 63 72 84 40 -27.72 11.48 90 56 63 72 84
6 -3.83 9.24 90 56 63 72 84 41 -30.00 0.00 60 56 63 72 84
7 -7.07 7.07 60 56 63 72 84 42 -27.72 -11.48 90 56 63 72 84
8 -9.24 3.83 90 56 63 72 84 43 -21.22 -21.21 60 56 63 72 84
9 -10.00 0.00 60 56 63 72 84 44 -11.48 -27.71 90 56 63 72 84
10 -9.24 -3.83 90 56 63 72 84 45 0.00 -30.00 60 56 63 72 84
11 -7.07 -7.07 60 56 63 72 84 46 11.48 -27.72 90 56 63 72 84
12 -3.83 -9.24 90 56 63 72 84 47 21.21 -21.22 60 56 63 72 84
13 0.00 -10.00 60 56 63 72 84 48 27.71 -11.49 90 56 63 72 84
14 3.83 -9.24 90 56 63 72 84 49 40.00 0.00 60 94 87 78 66
15 7.07 -7.07 60 56 63 72 84 50 36.96 15.31 90 94 87 78 66
16 9.24 -3.83 90 56 63 72 84 51 28.28 28.28 60 94 87 78 66
17 20.00 0.00 60 94 87 78 66 52 15.31 36.95 90 94 87 78 66
18 18.48 7.65 90 94 87 78 66 53 0.00 40.00 60 94 87 78 66
19 14.14 14.14 60 94 87 78 66 54 -15.31 36.96 90 94 87 78 66
20 7.65 18.48 90 94 87 78 66 55 -28.28 28.29 60 94 87 78 66
21 0.00 20.00 60 94 87 78 66 56 -36.95 15.31 90 94 87 78 66
22 -7.65 18.48 90 94 87 78 66 57 -40.00 0.00 60 94 87 78 66
23 -14.14 14.14 60 94 87 78 66 58 -36.96 -15.30 90 94 87 78 66
24 -18.48 7.66 90 94 87 78 66 59 -28.29 -28.28 60 94 87 78 66
25 -20.00 0.00 60 94 87 78 66 60 -15.31 -36.95 90 94 87 78 66
26 -18.48 -7.65 90 94 87 78 66 61 -0.01 -40.00 60 94 87 78 66
27 -14.14 -14.14 60 94 87 78 66 62 15.30 -36.96 90 94 87 78 66
28 -7.66 -18.48 90 94 87 78 66 63 28.28 -28.29 60 94 87 78 66
29 0.00 -20.00 60 94 87 78 66 64 36.95 -15.31 90 94 87 78 66
30 7.65 -18.48 90 94 87 78 66 65 50.00 0.00 60 56 63 72 84
31 14.14 -14.14 60 94 87 78 66 66 46.19 19.13 90 56 63 72 84
32 18.48 -7.66 90 94 87 78 66 67 35.36 35.35 60 56 63 72 84
33 30.00 0.00 60 56 63 72 84 68 19.14 46.19 90 56 63 72 84
34 27.72 11.48 90 56 63 72 84 69 0.00 50.00 60 56 63 72 84
(cont.)
201
Table A.31 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 -19.13 46.20 90 56 63 72 84 105 -70.00 0.01 60 56 63 72 84
71 -35.35 35.36 60 56 63 72 84 106 -64.67 -26.78 90 56 63 72 84
72 -46.19 19.14 90 56 63 72 84 107 -49.50 -49.49 60 56 63 72 84
73 -50.00 0.00 60 56 63 72 84 108 -26.80 -64.67 90 56 63 72 84
74 -46.20 -19.13 90 56 63 72 84 109 -0.01 -70.00 60 56 63 72 84
75 -35.36 -35.35 60 56 63 72 84 110 26.78 -64.68 90 56 63 72 84
76 -19.14 -46.19 90 56 63 72 84 111 49.49 -49.51 60 56 63 72 84
77 -0.01 -50.00 60 56 63 72 84 112 64.67 -26.80 90 56 63 72 84
78 19.13 -46.20 90 56 63 72 84 113 80.00 0.00 60 94 87 78 66
79 35.35 -35.36 60 56 63 72 84 114 73.91 30.61 90 94 87 78 66
80 46.19 -19.14 90 56 63 72 84 115 56.57 56.57 60 94 87 78 66
81 60.00 0.00 60 94 87 78 66 116 30.62 73.91 90 94 87 78 66
82 55.43 22.96 90 94 87 78 66 117 0.00 80.00 60 94 87 78 66
83 42.43 42.43 60 94 87 78 66 118 -30.61 73.91 90 94 87 78 66
84 22.96 55.43 90 94 87 78 66 119 -56.56 56.57 60 94 87 78 66
85 0.00 60.00 60 94 87 78 66 120 -73.91 30.62 90 94 87 78 66
86 -22.96 55.43 90 94 87 78 66 121 -80.00 0.01 60 94 87 78 66
87 -42.42 42.43 60 94 87 78 66 122 -73.91 -30.61 90 94 87 78 66
88 -55.43 22.97 90 94 87 78 66 123 -56.58 -56.56 60 94 87 78 66
89 -60.00 0.01 60 94 87 78 66 124 -30.62 -73.91 90 94 87 78 66
90 -55.44 -22.96 90 94 87 78 66 125 -0.01 -80.00 60 94 87 78 66
91 -42.43 -42.42 60 94 87 78 66 126 30.60 -73.91 90 94 87 78 66
92 -22.97 -55.43 90 94 87 78 66 127 56.56 -56.58 60 94 87 78 66
93 -0.01 -60.00 60 94 87 78 66 128 73.91 -30.63 90 94 87 78 66
94 22.95 -55.44 90 94 87 78 66 129 90.00 0.00 60 56 63 72 84
95 42.42 -42.43 60 94 87 78 66 130 83.15 34.44 90 56 63 72 84
96 55.43 -22.97 90 94 87 78 66 131 63.64 63.64 60 56 63 72 84
97 70.00 0.00 60 56 63 72 84 132 34.44 83.15 90 56 63 72 84
98 64.67 26.79 90 56 63 72 84 133 0.00 90.00 60 56 63 72 84
99 49.50 49.50 60 56 63 72 84 134 -34.44 83.15 90 56 63 72 84
100 26.79 64.67 90 56 63 72 84 135 -63.64 63.64 60 56 63 72 84
101 0.00 70.00 60 56 63 72 84 136 -83.15 34.45 90 56 63 72 84
102 -26.78 64.67 90 56 63 72 84 137 -90.00 0.01 60 56 63 72 84
103 -49.49 49.50 60 56 63 72 84 138 -83.15 -34.43 90 56 63 72 84
104 -64.67 26.79 90 56 63 72 84 139 -63.65 -63.63 60 56 63 72 84
(cont.)
202
Table A.31 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
140 -34.45 -83.14 90 56 63 72 84 151 -70.71 70.72 60 94 87 78 66
141 -0.01 -90.00 60 56 63 72 84 152 -92.38 38.28 90 94 87 78 66
142 34.43 -83.15 90 56 63 72 84 153 -100.00 0.01 60 94 87 78 66
143 63.63 -63.65 60 56 63 72 84 154 -92.39 -38.26 90 94 87 78 66
144 83.14 -34.46 90 56 63 72 84 155 -70.72 -70.70 60 94 87 78 66
145 100.00 0.00 60 94 87 78 66 156 -38.28 -92.38 90 94 87 78 66
146 92.39 38.27 90 94 87 78 66 157 -0.01 -100.00 60 94 87 78 66
147 70.71 70.71 60 94 87 78 66 158 38.25 -92.39 90 94 87 78 66
148 38.27 92.39 90 94 87 78 66 159 70.70 -70.72 60 94 87 78 66
149 0.00 100.00 60 94 87 78 66 160 92.38 -38.28 90 94 87 78 66
150 -38.26 92.39 90 94 87 78 66
Note: demands are denoted by D for SD18 and Dp for MDA18 with p = .1, .2, .3, .4.
203
Table A.32: Node locations and demands for SD19 and MDA19.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 21.21 21.21 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 11.48 27.72 90 56 63 72 84
2 9.24 3.83 90 56 63 72 84 37 0.00 30.00 60 56 63 72 84
3 7.07 7.07 60 56 63 72 84 38 -11.48 27.72 90 56 63 72 84
4 3.83 9.24 90 56 63 72 84 39 -21.21 21.21 60 56 63 72 84
5 0.00 10.00 60 56 63 72 84 40 -27.72 11.48 90 56 63 72 84
6 -3.83 9.24 90 56 63 72 84 41 -30.00 0.00 60 56 63 72 84
7 -7.07 7.07 60 56 63 72 84 42 -27.72 -11.48 90 56 63 72 84
8 -9.24 3.83 90 56 63 72 84 43 -21.22 -21.21 60 56 63 72 84
9 -10.00 0.00 60 56 63 72 84 44 -11.48 -27.71 90 56 63 72 84
10 -9.24 -3.83 90 56 63 72 84 45 0.00 -30.00 60 56 63 72 84
11 -7.07 -7.07 60 56 63 72 84 46 11.48 -27.72 90 56 63 72 84
12 -3.83 -9.24 90 56 63 72 84 47 21.21 -21.22 60 56 63 72 84
13 0.00 -10.00 60 56 63 72 84 48 27.71 -11.49 90 56 63 72 84
14 3.83 -9.24 90 56 63 72 84 49 40.00 0.00 60 94 87 78 66
15 7.07 -7.07 60 56 63 72 84 50 36.96 15.31 90 94 87 78 66
16 9.24 -3.83 90 56 63 72 84 51 28.28 28.28 60 94 87 78 66
17 20.00 0.00 60 94 87 78 66 52 15.31 36.95 90 94 87 78 66
18 18.48 7.65 90 94 87 78 66 53 0.00 40.00 60 94 87 78 66
19 14.14 14.14 60 94 87 78 66 54 -15.31 36.96 90 94 87 78 66
20 7.65 18.48 90 94 87 78 66 55 -28.28 28.29 60 94 87 78 66
21 0.00 20.00 60 94 87 78 66 56 -36.95 15.31 90 94 87 78 66
22 -7.65 18.48 90 94 87 78 66 57 -40.00 0.00 60 94 87 78 66
23 -14.14 14.14 60 94 87 78 66 58 -36.96 -15.30 90 94 87 78 66
24 -18.48 7.66 90 94 87 78 66 59 -28.29 -28.28 60 94 87 78 66
25 -20.00 0.00 60 94 87 78 66 60 -15.31 -36.95 90 94 87 78 66
26 -18.48 -7.65 90 94 87 78 66 61 -0.01 -40.00 60 94 87 78 66
27 -14.14 -14.14 60 94 87 78 66 62 15.30 -36.96 90 94 87 78 66
28 -7.66 -18.48 90 94 87 78 66 63 28.28 -28.29 60 94 87 78 66
29 0.00 -20.00 60 94 87 78 66 64 36.95 -15.31 90 94 87 78 66
30 7.65 -18.48 90 94 87 78 66 65 50.00 0.00 60 56 63 72 84
31 14.14 -14.14 60 94 87 78 66 66 46.19 19.13 90 56 63 72 84
32 18.48 -7.66 90 94 87 78 66 67 35.36 35.35 60 56 63 72 84
33 30.00 0.00 60 56 63 72 84 68 19.14 46.19 90 56 63 72 84
34 27.72 11.48 90 56 63 72 84 69 0.00 50.00 60 56 63 72 84
(cont.)
204
Table A.32 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 -19.13 46.20 90 56 63 72 84 105 -70.00 0.01 60 56 63 72 84
71 -35.35 35.36 60 56 63 72 84 106 -64.67 -26.78 90 56 63 72 84
72 -46.19 19.14 90 56 63 72 84 107 -49.50 -49.49 60 56 63 72 84
73 -50.00 0.00 60 56 63 72 84 108 -26.80 -64.67 90 56 63 72 84
74 -46.20 -19.13 90 56 63 72 84 109 -0.01 -70.00 60 56 63 72 84
75 -35.36 -35.35 60 56 63 72 84 110 26.78 -64.68 90 56 63 72 84
76 -19.14 -46.19 90 56 63 72 84 111 49.49 -49.51 60 56 63 72 84
77 -0.01 -50.00 60 56 63 72 84 112 64.67 -26.80 90 56 63 72 84
78 19.13 -46.20 90 56 63 72 84 113 80.00 0.00 60 94 87 78 66
79 35.35 -35.36 60 56 63 72 84 114 73.91 30.61 90 94 87 78 66
80 46.19 -19.14 90 56 63 72 84 115 56.57 56.57 60 94 87 78 66
81 60.00 0.00 60 94 87 78 66 116 30.62 73.91 90 94 87 78 66
82 55.43 22.96 90 94 87 78 66 117 0.00 80.00 60 94 87 78 66
83 42.43 42.43 60 94 87 78 66 118 -30.61 73.91 90 94 87 78 66
84 22.96 55.43 90 94 87 78 66 119 -56.56 56.57 60 94 87 78 66
85 0.00 60.00 60 94 87 78 66 120 -73.91 30.62 90 94 87 78 66
86 -22.96 55.43 90 94 87 78 66 121 -80.00 0.01 60 94 87 78 66
87 -42.42 42.43 60 94 87 78 66 122 -73.91 -30.61 90 94 87 78 66
88 -55.43 22.97 90 94 87 78 66 123 -56.58 -56.56 60 94 87 78 66
89 -60.00 0.01 60 94 87 78 66 124 -30.62 -73.91 90 94 87 78 66
90 -55.44 -22.96 90 94 87 78 66 125 -0.01 -80.00 60 94 87 78 66
91 -42.43 -42.42 60 94 87 78 66 126 30.60 -73.91 90 94 87 78 66
92 -22.97 -55.43 90 94 87 78 66 127 56.56 -56.58 60 94 87 78 66
93 -0.01 -60.00 60 94 87 78 66 128 73.91 -30.63 90 94 87 78 66
94 22.95 -55.44 90 94 87 78 66 129 90.00 0.00 60 56 63 72 84
95 42.42 -42.43 60 94 87 78 66 130 83.15 34.44 90 56 63 72 84
96 55.43 -22.97 90 94 87 78 66 131 63.64 63.64 60 56 63 72 84
97 70.00 0.00 60 56 63 72 84 132 34.44 83.15 90 56 63 72 84
98 64.67 26.79 90 56 63 72 84 133 0.00 90.00 60 56 63 72 84
99 49.50 49.50 60 56 63 72 84 134 -34.44 83.15 90 56 63 72 84
100 26.79 64.67 90 56 63 72 84 135 -63.64 63.64 60 56 63 72 84
101 0.00 70.00 60 56 63 72 84 136 -83.15 34.45 90 56 63 72 84
102 -26.78 64.67 90 56 63 72 84 137 -90.00 0.01 60 56 63 72 84
103 -49.49 49.50 60 56 63 72 84 138 -83.15 -34.43 90 56 63 72 84
104 -64.67 26.79 90 56 63 72 84 139 -63.65 -63.63 60 56 63 72 84
(cont.)
205
Table A.32 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
140 -34.45 -83.14 90 56 63 72 84 167 -77.78 77.79 60 56 63 72 84
141 -0.01 -90.00 60 56 63 72 84 168 -101.62 42.10 90 56 63 72 84
142 34.43 -83.15 90 56 63 72 84 169 -110.00 0.01 60 56 63 72 84
143 63.63 -63.65 60 56 63 72 84 170 -101.63 -42.08 90 56 63 72 84
144 83.14 -34.46 90 56 63 72 84 171 -77.79 -77.77 60 56 63 72 84
145 100.00 0.00 60 94 87 78 66 172 -42.11 -101.62 90 56 63 72 84
146 92.39 38.27 90 94 87 78 66 173 -0.02 -110.00 60 56 63 72 84
147 70.71 70.71 60 94 87 78 66 174 42.08 -101.63 90 56 63 72 84
148 38.27 92.39 90 94 87 78 66 175 77.77 -77.79 60 56 63 72 84
149 0.00 100.00 60 94 87 78 66 176 101.62 -42.11 90 56 63 72 84
150 -38.26 92.39 90 94 87 78 66 177 120.00 0.00 60 94 87 78 66
151 -70.71 70.72 60 94 87 78 66 178 110.87 45.92 90 94 87 78 66
152 -92.38 38.28 90 94 87 78 66 179 84.85 84.85 60 94 87 78 66
153 -100.00 0.01 60 94 87 78 66 180 45.93 110.86 90 94 87 78 66
154 -92.39 -38.26 90 94 87 78 66 181 0.01 120.00 60 94 87 78 66
155 -70.72 -70.70 60 94 87 78 66 182 -45.92 110.87 90 94 87 78 66
156 -38.28 -92.38 90 94 87 78 66 183 -84.85 84.86 60 94 87 78 66
157 -0.01 -100.00 60 94 87 78 66 184 -110.86 45.93 90 94 87 78 66
158 38.25 -92.39 90 94 87 78 66 185 -120.00 0.01 60 94 87 78 66
159 70.70 -70.72 60 94 87 78 66 186 -110.87 -45.91 90 94 87 78 66
160 92.38 -38.28 90 94 87 78 66 187 -84.86 -84.84 60 94 87 78 66
161 110.00 0.00 60 56 63 72 84 188 -45.94 -110.86 90 94 87 78 66
162 101.63 42.09 90 56 63 72 84 189 -0.02 -120.00 60 94 87 78 66
163 77.78 77.78 60 56 63 72 84 190 45.91 -110.87 90 94 87 78 66
164 42.10 101.63 90 56 63 72 84 191 84.84 -84.87 60 94 87 78 66
165 0.01 110.00 60 56 63 72 84 192 110.86 -45.94 90 94 87 78 66
166 -42.09 101.63 90 56 63 72 84
Note: demands are denoted by D for SD19 and Dp for MDA19 with p = .1, .2, .3, .4.
206
Table A.33: Node locations and demands for SD20 and MDA20.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 15.00 -25.98 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 25.98 -15.00 90 56 63 72 84
2 8.66 5.00 90 56 63 72 84 37 40.00 0.00 60 94 87 78 66
3 5.00 8.66 60 56 63 72 84 38 34.64 20.00 90 94 87 78 66
4 0.00 10.00 90 56 63 72 84 39 20.00 34.64 60 94 87 78 66
5 -5.00 8.66 60 56 63 72 84 40 0.00 40.00 90 94 87 78 66
6 -8.66 5.00 90 56 63 72 84 41 -20.00 34.64 60 94 87 78 66
7 -10.00 0.00 60 56 63 72 84 42 -34.64 20.00 90 94 87 78 66
8 -8.66 -5.00 90 56 63 72 84 43 -40.00 0.00 60 94 87 78 66
9 -5.00 -8.66 60 56 63 72 84 44 -34.64 -20.00 90 94 87 78 66
10 0.00 -10.00 90 56 63 72 84 45 -20.00 -34.64 60 94 87 78 66
11 5.00 -8.66 60 56 63 72 84 46 -0.01 -40.00 90 94 87 78 66
12 8.66 -5.00 90 56 63 72 84 47 19.99 -34.64 60 94 87 78 66
13 20.00 0.00 60 94 87 78 66 48 34.64 -20.01 90 94 87 78 66
14 17.32 10.00 90 94 87 78 66 49 50.00 0.00 60 56 63 72 84
15 10.00 17.32 60 94 87 78 66 50 43.30 25.00 90 56 63 72 84
16 0.00 20.00 90 94 87 78 66 51 25.00 43.30 60 56 63 72 84
17 -10.00 17.32 60 94 87 78 66 52 0.00 50.00 90 56 63 72 84
18 -17.32 10.00 90 94 87 78 66 53 -25.00 43.30 60 56 63 72 84
19 -20.00 0.00 60 94 87 78 66 54 -43.30 25.00 90 56 63 72 84
20 -17.32 -10.00 90 94 87 78 66 55 -50.00 0.00 60 56 63 72 84
21 -10.00 -17.32 60 94 87 78 66 56 -43.30 -25.00 90 56 63 72 84
22 0.00 -20.00 90 94 87 78 66 57 -25.01 -43.30 60 56 63 72 84
23 10.00 -17.32 60 94 87 78 66 58 -0.01 -50.00 90 56 63 72 84
24 17.32 -10.00 90 94 87 78 66 59 24.99 -43.31 60 56 63 72 84
25 30.00 0.00 60 56 63 72 84 60 43.30 -25.01 90 56 63 72 84
26 25.98 15.00 90 56 63 72 84 61 60.00 0.00 60 94 87 78 66
27 15.00 25.98 60 56 63 72 84 62 51.96 30.00 90 94 87 78 66
28 0.00 30.00 90 56 63 72 84 63 30.00 51.96 60 94 87 78 66
29 -15.00 25.98 60 56 63 72 84 64 0.00 60.00 90 94 87 78 66
30 -25.98 15.00 90 56 63 72 84 65 -30.00 51.96 60 94 87 78 66
31 -30.00 0.00 60 56 63 72 84 66 -51.96 30.00 90 94 87 78 66
32 -25.98 -15.00 90 56 63 72 84 67 -60.00 0.01 60 94 87 78 66
33 -15.00 -25.98 60 56 63 72 84 68 -51.96 -29.99 90 94 87 78 66
34 0.00 -30.00 90 56 63 72 84 69 -30.01 -51.96 60 94 87 78 66
(cont.)
207
Table A.33 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 -0.01 -60.00 90 94 87 78 66 105 -45.01 -77.94 60 56 63 72 84
71 29.99 -51.97 60 94 87 78 66 106 -0.01 -90.00 90 56 63 72 84
72 51.96 -30.01 90 94 87 78 66 107 44.99 -77.95 60 56 63 72 84
73 70.00 0.00 60 56 63 72 84 108 77.93 -45.01 90 56 63 72 84
74 60.62 35.00 90 56 63 72 84 109 100.00 0.00 60 94 87 78 66
75 35.00 60.62 60 56 63 72 84 110 86.60 50.00 90 94 87 78 66
76 0.00 70.00 90 56 63 72 84 111 50.00 86.60 60 94 87 78 66
77 -35.00 60.62 60 56 63 72 84 112 0.00 100.00 90 94 87 78 66
78 -60.62 35.00 90 56 63 72 84 113 -49.99 86.61 60 94 87 78 66
79 -70.00 0.01 60 56 63 72 84 114 -86.60 50.01 90 94 87 78 66
80 -60.63 -34.99 90 56 63 72 84 115 -100.00 0.01 60 94 87 78 66
81 -35.01 -60.62 60 56 63 72 84 116 -86.61 -49.99 90 94 87 78 66
82 -0.01 -70.00 90 56 63 72 84 117 -50.01 -86.60 60 94 87 78 66
83 34.99 -60.63 60 56 63 72 84 118 -0.01 -100.00 90 94 87 78 66
84 60.62 -35.01 90 56 63 72 84 119 49.99 -86.61 60 94 87 78 66
85 80.00 0.00 60 94 87 78 66 120 86.59 -50.01 90 94 87 78 66
86 69.28 40.00 90 94 87 78 66 121 110.00 0.00 60 56 63 72 84
87 40.00 69.28 60 94 87 78 66 122 95.26 55.00 90 56 63 72 84
88 0.00 80.00 90 94 87 78 66 123 55.00 95.26 60 56 63 72 84
89 -40.00 69.28 60 94 87 78 66 124 0.01 110.00 90 56 63 72 84
90 -69.28 40.01 90 94 87 78 66 125 -54.99 95.27 60 56 63 72 84
91 -80.00 0.01 60 94 87 78 66 126 -95.26 55.01 90 56 63 72 84
92 -69.29 -39.99 90 94 87 78 66 127 -110.00 0.01 60 56 63 72 84
93 -40.01 -69.28 60 94 87 78 66 128 -95.27 -54.99 90 56 63 72 84
94 -0.01 -80.00 90 94 87 78 66 129 -55.01 -95.26 60 56 63 72 84
95 39.99 -69.29 60 94 87 78 66 130 -0.02 -110.00 90 56 63 72 84
96 69.28 -40.01 90 94 87 78 66 131 54.99 -95.27 60 56 63 72 84
97 90.00 0.00 60 56 63 72 84 132 95.25 -55.02 90 56 63 72 84
98 77.94 45.00 90 56 63 72 84 133 120.00 0.00 60 94 87 78 66
99 45.00 77.94 60 56 63 72 84 134 103.92 60.00 90 94 87 78 66
100 0.00 90.00 90 56 63 72 84 135 60.00 103.92 60 94 87 78 66
101 -45.00 77.95 60 56 63 72 84 136 0.01 120.00 90 94 87 78 66
102 -77.94 45.01 90 56 63 72 84 137 -59.99 103.93 60 94 87 78 66
103 -90.00 0.01 60 56 63 72 84 138 -103.92 60.01 90 94 87 78 66
104 -77.95 -44.99 90 56 63 72 84 139 -120.00 0.01 60 94 87 78 66
(cont.)
208
Table A.33 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
140 -103.93 -59.99 90 94 87 78 66 175 -150.00 0.01 60 56 63 72 84
141 -60.01 -103.92 60 94 87 78 66 176 -129.91 -74.99 90 56 63 72 84
142 -0.02 -120.00 90 94 87 78 66 177 -75.02 -129.89 60 56 63 72 84
143 59.98 -103.93 60 94 87 78 66 178 -0.02 -150.00 90 56 63 72 84
144 103.91 -60.02 90 94 87 78 66 179 74.98 -129.92 60 56 63 72 84
145 130.00 0.00 60 56 63 72 84 180 129.89 -75.02 90 56 63 72 84
146 112.58 65.00 90 56 63 72 84 181 160.00 0.00 60 94 87 78 66
147 65.00 112.58 60 56 63 72 84 182 138.57 80.00 90 94 87 78 66
148 0.01 130.00 90 56 63 72 84 183 80.00 138.56 60 94 87 78 66
149 -64.99 112.59 60 56 63 72 84 184 0.01 160.00 90 94 87 78 66
150 -112.58 65.01 90 56 63 72 84 185 -79.99 138.57 60 94 87 78 66
151 -130.00 0.01 60 56 63 72 84 186 -138.56 80.01 90 94 87 78 66
152 -112.59 -64.99 90 56 63 72 84 187 -160.00 0.01 60 94 87 78 66
153 -65.01 -112.58 60 56 63 72 84 188 -138.57 -79.99 90 94 87 78 66
154 -0.02 -130.00 90 56 63 72 84 189 -80.02 -138.55 60 94 87 78 66
155 64.98 -112.59 60 56 63 72 84 190 -0.02 -160.00 90 94 87 78 66
156 112.57 -65.02 90 56 63 72 84 191 79.98 -138.58 60 94 87 78 66
157 140.00 0.00 60 94 87 78 66 192 138.55 -80.02 90 94 87 78 66
158 121.24 70.00 90 94 87 78 66 193 170.00 0.00 60 56 63 72 84
159 70.00 121.24 60 94 87 78 66 194 147.23 85.00 90 56 63 72 84
160 0.01 140.00 90 94 87 78 66 195 85.00 147.22 60 56 63 72 84
161 -69.99 121.25 60 94 87 78 66 196 0.01 170.00 90 56 63 72 84
162 -121.24 70.01 90 94 87 78 66 197 -84.99 147.23 60 56 63 72 84
163 -140.00 0.01 60 94 87 78 66 198 -147.22 85.01 90 56 63 72 84
164 -121.25 -69.99 90 94 87 78 66 199 -170.00 0.02 60 56 63 72 84
165 -70.01 -121.23 60 94 87 78 66 200 -147.23 -84.98 90 56 63 72 84
166 -0.02 -140.00 90 94 87 78 66 201 -85.02 -147.21 60 56 63 72 84
167 69.98 -121.25 60 94 87 78 66 202 -0.02 -170.00 90 56 63 72 84
168 121.23 -70.02 90 94 87 78 66 203 84.98 -147.24 60 56 63 72 84
169 150.00 0.00 60 56 63 72 84 204 147.21 -85.03 90 56 63 72 84
170 129.90 75.00 90 56 63 72 84 205 180.00 0.00 60 94 87 78 66
171 75.00 129.90 60 56 63 72 84 206 155.89 90.00 90 94 87 78 66
172 0.01 150.00 90 56 63 72 84 207 90.00 155.88 60 94 87 78 66
173 -74.99 129.91 60 56 63 72 84 208 0.01 180.00 90 94 87 78 66
174 -129.90 75.01 90 56 63 72 84 209 -89.99 155.89 60 94 87 78 66
(cont.)
209
Table A.33 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
210 -155.88 90.01 90 94 87 78 66 226 -0.03 -190.00 90 56 63 72 84
211 -180.00 0.02 60 94 87 78 66 227 94.97 -164.56 60 56 63 72 84
212 -155.89 -89.98 90 94 87 78 66 228 164.53 -95.03 90 56 63 72 84
213 -90.02 -155.87 60 94 87 78 66 229 200.00 0.00 60 94 87 78 66
214 -0.03 -180.00 90 94 87 78 66 230 173.21 100.00 90 94 87 78 66
215 89.98 -155.90 60 94 87 78 66 231 100.01 173.20 60 94 87 78 66
216 155.87 -90.03 90 94 87 78 66 232 0.01 200.00 90 94 87 78 66
217 190.00 0.00 60 56 63 72 84 233 -99.99 173.21 60 94 87 78 66
218 164.55 95.00 90 56 63 72 84 234 -173.20 100.01 90 94 87 78 66
219 95.01 164.54 60 56 63 72 84 235 -200.00 0.02 60 94 87 78 66
220 0.01 190.00 90 56 63 72 84 236 -173.22 -99.98 90 94 87 78 66
221 -94.99 164.55 60 56 63 72 84 237 -100.02 -173.19 60 94 87 78 66
222 -164.54 95.01 90 56 63 72 84 238 -0.03 -200.00 90 94 87 78 66
223 -190.00 0.02 60 56 63 72 84 239 99.97 -173.22 60 94 87 78 66
224 -164.56 -94.98 90 56 63 72 84 240 173.19 -100.03 90 94 87 78 66
225 -95.02 -164.53 60 56 63 72 84
Note: demands are denoted by D for SD20 and Dp for MDA20 with p = .1, .2, .3, .4.
210
Table A.34: Node locations and demands for SD21 and MDA21.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
0 0.00 0.00 0 0 0 0 0 35 -9.85 1.74 60 56 63 72 84
1 10.00 0.00 60 56 63 72 84 36 -9.96 0.87 90 56 63 72 84
2 9.96 0.87 90 56 63 72 84 37 -10.00 0.00 60 56 63 72 84
3 9.85 1.74 60 56 63 72 84 38 -9.96 -0.87 90 56 63 72 84
4 9.66 2.59 90 56 63 72 84 39 -9.85 -1.74 60 56 63 72 84
5 9.40 3.42 60 56 63 72 84 40 -9.66 -2.59 90 56 63 72 84
6 9.06 4.23 90 56 63 72 84 41 -9.40 -3.42 60 56 63 72 84
7 8.66 5.00 60 56 63 72 84 42 -9.06 -4.23 90 56 63 72 84
8 8.19 5.74 90 56 63 72 84 43 -8.66 -5.00 60 56 63 72 84
9 7.66 6.43 60 56 63 72 84 44 -8.19 -5.73 90 56 63 72 84
10 7.07 7.07 90 56 63 72 84 45 -7.66 -6.43 60 56 63 72 84
11 6.43 7.66 60 56 63 72 84 46 -7.07 -7.07 90 56 63 72 84
12 5.74 8.19 90 56 63 72 84 47 -6.43 -7.66 60 56 63 72 84
13 5.00 8.66 60 56 63 72 84 48 -5.74 -8.19 90 56 63 72 84
14 4.23 9.06 90 56 63 72 84 49 -5.00 -8.66 60 56 63 72 84
15 3.42 9.40 60 56 63 72 84 50 -4.23 -9.06 90 56 63 72 84
16 2.59 9.66 90 56 63 72 84 51 -3.42 -9.40 60 56 63 72 84
17 1.74 9.85 60 56 63 72 84 52 -2.59 -9.66 90 56 63 72 84
18 0.87 9.96 90 56 63 72 84 53 -1.74 -9.85 60 56 63 72 84
19 0.00 10.00 60 56 63 72 84 54 -0.87 -9.96 90 56 63 72 84
20 -0.87 9.96 90 56 63 72 84 55 0.00 -10.00 60 56 63 72 84
21 -1.74 9.85 60 56 63 72 84 56 0.87 -9.96 90 56 63 72 84
22 -2.59 9.66 90 56 63 72 84 57 1.74 -9.85 60 56 63 72 84
23 -3.42 9.40 60 56 63 72 84 58 2.59 -9.66 90 56 63 72 84
24 -4.23 9.06 90 56 63 72 84 59 3.42 -9.40 60 56 63 72 84
25 -5.00 8.66 60 56 63 72 84 60 4.22 -9.06 90 56 63 72 84
26 -5.74 8.19 90 56 63 72 84 61 5.00 -8.66 60 56 63 72 84
27 -6.43 7.66 60 56 63 72 84 62 5.73 -8.19 90 56 63 72 84
28 -7.07 7.07 90 56 63 72 84 63 6.43 -7.66 60 56 63 72 84
29 -7.66 6.43 60 56 63 72 84 64 7.07 -7.07 90 56 63 72 84
30 -8.19 5.74 90 56 63 72 84 65 7.66 -6.43 60 56 63 72 84
31 -8.66 5.00 60 56 63 72 84 66 8.19 -5.74 90 56 63 72 84
32 -9.06 4.23 90 56 63 72 84 67 8.66 -5.00 60 56 63 72 84
33 -9.40 3.42 60 56 63 72 84 68 9.06 -4.23 90 56 63 72 84
34 -9.66 2.59 90 56 63 72 84 69 9.40 -3.42 60 56 63 72 84
(cont.)
211
Table A.34 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
70 9.66 -2.59 90 56 63 72 84 105 -18.79 6.84 60 94 87 78 66
71 9.85 -1.74 60 56 63 72 84 106 -19.32 5.18 90 94 87 78 66
72 9.96 -0.87 90 56 63 72 84 107 -19.70 3.47 60 94 87 78 66
73 20.00 0.00 60 94 87 78 66 108 -19.92 1.74 90 94 87 78 66
74 19.92 1.74 90 94 87 78 66 109 -20.00 0.00 60 94 87 78 66
75 19.70 3.47 60 94 87 78 66 110 -19.92 -1.74 90 94 87 78 66
76 19.32 5.18 90 94 87 78 66 111 -19.70 -3.47 60 94 87 78 66
77 18.79 6.84 60 94 87 78 66 112 -19.32 -5.17 90 94 87 78 66
78 18.13 8.45 90 94 87 78 66 113 -18.79 -6.84 60 94 87 78 66
79 17.32 10.00 60 94 87 78 66 114 -18.13 -8.45 90 94 87 78 66
80 16.38 11.47 90 94 87 78 66 115 -17.32 -10.00 60 94 87 78 66
81 15.32 12.86 60 94 87 78 66 116 -16.38 -11.47 90 94 87 78 66
82 14.14 14.14 90 94 87 78 66 117 -15.32 -12.85 60 94 87 78 66
83 12.86 15.32 60 94 87 78 66 118 -14.14 -14.14 90 94 87 78 66
84 11.47 16.38 90 94 87 78 66 119 -12.86 -15.32 60 94 87 78 66
85 10.00 17.32 60 94 87 78 66 120 -11.47 -16.38 90 94 87 78 66
86 8.45 18.13 90 94 87 78 66 121 -10.00 -17.32 60 94 87 78 66
87 6.84 18.79 60 94 87 78 66 122 -8.45 -18.13 90 94 87 78 66
88 5.18 19.32 90 94 87 78 66 123 -6.84 -18.79 60 94 87 78 66
89 3.47 19.70 60 94 87 78 66 124 -5.18 -19.32 90 94 87 78 66
90 1.74 19.92 90 94 87 78 66 125 -3.48 -19.70 60 94 87 78 66
91 0.00 20.00 60 94 87 78 66 126 -1.75 -19.92 90 94 87 78 66
92 -1.74 19.92 90 94 87 78 66 127 0.00 -20.00 60 94 87 78 66
93 -3.47 19.70 60 94 87 78 66 128 1.74 -19.92 90 94 87 78 66
94 -5.18 19.32 90 94 87 78 66 129 3.47 -19.70 60 94 87 78 66
95 -6.84 18.79 60 94 87 78 66 130 5.17 -19.32 90 94 87 78 66
96 -8.45 18.13 90 94 87 78 66 131 6.84 -18.79 60 94 87 78 66
97 -10.00 17.32 60 94 87 78 66 132 8.45 -18.13 90 94 87 78 66
98 -11.47 16.38 90 94 87 78 66 133 10.00 -17.32 60 94 87 78 66
99 -12.85 15.32 60 94 87 78 66 134 11.47 -16.38 90 94 87 78 66
100 -14.14 14.14 90 94 87 78 66 135 12.85 -15.32 60 94 87 78 66
101 -15.32 12.86 60 94 87 78 66 136 14.14 -14.14 90 94 87 78 66
102 -16.38 11.47 90 94 87 78 66 137 15.32 -12.86 60 94 87 78 66
103 -17.32 10.00 60 94 87 78 66 138 16.38 -11.47 90 94 87 78 66
104 -18.13 8.45 90 94 87 78 66 139 17.32 -10.00 60 94 87 78 66
(cont.)
212
Table A.34 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
140 18.12 -8.46 90 94 87 78 66 175 -25.98 15.00 60 56 63 72 84
141 18.79 -6.84 60 94 87 78 66 176 -27.19 12.68 90 56 63 72 84
142 19.32 -5.18 90 94 87 78 66 177 -28.19 10.26 60 56 63 72 84
143 19.70 -3.48 60 94 87 78 66 178 -28.98 7.77 90 56 63 72 84
144 19.92 -1.75 90 94 87 78 66 179 -29.54 5.21 60 56 63 72 84
145 30.00 0.00 60 56 63 72 84 180 -29.89 2.62 90 56 63 72 84
146 29.89 2.61 90 56 63 72 84 181 -30.00 0.00 60 56 63 72 84
147 29.54 5.21 60 56 63 72 84 182 -29.89 -2.61 90 56 63 72 84
148 28.98 7.76 90 56 63 72 84 183 -29.54 -5.21 60 56 63 72 84
149 28.19 10.26 60 56 63 72 84 184 -28.98 -7.76 90 56 63 72 84
150 27.19 12.68 90 56 63 72 84 185 -28.19 -10.26 60 56 63 72 84
151 25.98 15.00 60 56 63 72 84 186 -27.19 -12.68 90 56 63 72 84
152 24.57 17.21 90 56 63 72 84 187 -25.98 -15.00 60 56 63 72 84
153 22.98 19.28 60 56 63 72 84 188 -24.58 -17.20 90 56 63 72 84
154 21.21 21.21 90 56 63 72 84 189 -22.98 -19.28 60 56 63 72 84
155 19.28 22.98 60 56 63 72 84 190 -21.22 -21.21 90 56 63 72 84
156 17.21 24.57 90 56 63 72 84 191 -19.29 -22.98 60 56 63 72 84
157 15.00 25.98 60 56 63 72 84 192 -17.21 -24.57 90 56 63 72 84
158 12.68 27.19 90 56 63 72 84 193 -15.00 -25.98 60 56 63 72 84
159 10.26 28.19 60 56 63 72 84 194 -12.68 -27.19 90 56 63 72 84
160 7.77 28.98 90 56 63 72 84 195 -10.26 -28.19 60 56 63 72 84
161 5.21 29.54 60 56 63 72 84 196 -7.77 -28.98 90 56 63 72 84
162 2.62 29.89 90 56 63 72 84 197 -5.21 -29.54 60 56 63 72 84
163 0.00 30.00 60 56 63 72 84 198 -2.62 -29.89 90 56 63 72 84
164 -2.61 29.89 90 56 63 72 84 199 0.00 -30.00 60 56 63 72 84
165 -5.21 29.54 60 56 63 72 84 200 2.61 -29.89 90 56 63 72 84
166 -7.76 28.98 90 56 63 72 84 201 5.21 -29.54 60 56 63 72 84
167 -10.26 28.19 60 56 63 72 84 202 7.76 -28.98 90 56 63 72 84
168 -12.68 27.19 90 56 63 72 84 203 10.26 -28.19 60 56 63 72 84
169 -15.00 25.98 60 56 63 72 84 204 12.67 -27.19 90 56 63 72 84
170 -17.21 24.58 90 56 63 72 84 205 15.00 -25.98 60 56 63 72 84
171 -19.28 22.98 60 56 63 72 84 206 17.20 -24.58 90 56 63 72 84
172 -21.21 21.21 90 56 63 72 84 207 19.28 -22.98 60 56 63 72 84
173 -22.98 19.29 60 56 63 72 84 208 21.21 -21.22 90 56 63 72 84
174 -24.57 17.21 90 56 63 72 84 209 22.98 -19.29 60 56 63 72 84
(cont.)
213
Table A.34 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
210 24.57 -17.21 90 56 63 72 84 245 -30.64 25.71 60 94 87 78 66
211 25.98 -15.00 60 56 63 72 84 246 -32.76 22.95 90 94 87 78 66
212 27.19 -12.68 90 56 63 72 84 247 -34.64 20.00 60 94 87 78 66
213 28.19 -10.27 60 56 63 72 84 248 -36.25 16.91 90 94 87 78 66
214 28.98 -7.77 90 56 63 72 84 249 -37.59 13.68 60 94 87 78 66
215 29.54 -5.21 60 56 63 72 84 250 -38.64 10.36 90 94 87 78 66
216 29.89 -2.62 90 56 63 72 84 251 -39.39 6.95 60 94 87 78 66
217 40.00 0.00 60 94 87 78 66 252 -39.85 3.49 90 94 87 78 66
218 39.85 3.49 90 94 87 78 66 253 -40.00 0.00 60 94 87 78 66
219 39.39 6.95 60 94 87 78 66 254 -39.85 -3.48 90 94 87 78 66
220 38.64 10.35 90 94 87 78 66 255 -39.39 -6.94 60 94 87 78 66
221 37.59 13.68 60 94 87 78 66 256 -38.64 -10.35 90 94 87 78 66
222 36.25 16.90 90 94 87 78 66 257 -37.59 -13.68 60 94 87 78 66
223 34.64 20.00 60 94 87 78 66 258 -36.25 -16.90 90 94 87 78 66
224 32.77 22.94 90 94 87 78 66 259 -34.64 -20.00 60 94 87 78 66
225 30.64 25.71 60 94 87 78 66 260 -32.77 -22.94 90 94 87 78 66
226 28.28 28.28 90 94 87 78 66 261 -30.64 -25.71 60 94 87 78 66
227 25.71 30.64 60 94 87 78 66 262 -28.29 -28.28 90 94 87 78 66
228 22.94 32.77 90 94 87 78 66 263 -25.72 -30.64 60 94 87 78 66
229 20.00 34.64 60 94 87 78 66 264 -22.95 -32.76 90 94 87 78 66
230 16.91 36.25 90 94 87 78 66 265 -20.00 -34.64 60 94 87 78 66
231 13.68 37.59 60 94 87 78 66 266 -16.91 -36.25 90 94 87 78 66
232 10.35 38.64 90 94 87 78 66 267 -13.69 -37.59 60 94 87 78 66
233 6.95 39.39 60 94 87 78 66 268 -10.36 -38.64 90 94 87 78 66
234 3.49 39.85 90 94 87 78 66 269 -6.95 -39.39 60 94 87 78 66
235 0.00 40.00 60 94 87 78 66 270 -3.49 -39.85 90 94 87 78 66
236 -3.48 39.85 90 94 87 78 66 271 -0.01 -40.00 60 94 87 78 66
237 -6.94 39.39 60 94 87 78 66 272 3.48 -39.85 90 94 87 78 66
238 -10.35 38.64 90 94 87 78 66 273 6.94 -39.39 60 94 87 78 66
239 -13.68 37.59 60 94 87 78 66 274 10.35 -38.64 90 94 87 78 66
240 -16.90 36.25 90 94 87 78 66 275 13.68 -37.59 60 94 87 78 66
241 -20.00 34.64 60 94 87 78 66 276 16.90 -36.25 90 94 87 78 66
242 -22.94 32.77 90 94 87 78 66 277 19.99 -34.64 60 94 87 78 66
243 -25.71 30.64 60 94 87 78 66 278 22.94 -32.77 90 94 87 78 66
244 -28.28 28.29 90 94 87 78 66 279 25.71 -30.65 60 94 87 78 66
(cont.)
214
Table A.34 continued.
No. x y D D.1 D.2 D.3 D.4 No. x y D D.1 D.2 D.3 D.4
280 28.28 -28.29 90 94 87 78 66 285 37.59 -13.69 60 94 87 78 66
281 30.64 -25.72 60 94 87 78 66 286 38.64 -10.36 90 94 87 78 66
282 32.76 -22.95 90 94 87 78 66 287 39.39 -6.95 60 94 87 78 66
283 34.64 -20.01 60 94 87 78 66 288 39.85 -3.49 90 94 87 78 66
284 36.25 -16.91 90 94 87 78 66
Note: demands are denoted by D for SD21 and Dp for MDA21 with p = .1, .2, .3, .4.
215
Table A.35: EMIP-MDA+ERTR solution to CH1.
No. Route Load Distance
1 0 27(15) 48(17) 23(16) 7(19) 43(11) 24(10) 25(28) 14(21) 6(15) 0 152 98.45
2 0 11(19) 2(30) 29(6) 21(8) 16(15) 50(10) 34(26) 30(19) 9(11) 159 99.3338(15) 0
3 0 8(23) 26(7) 31(11) 28(14) 3(16) 36(6) 35(17) 20(28) 22(8) 149 118.521(7) 32(12) 0
4 0 46(5) 5(21) 49(18) 10(5) 39(14) 33(23) 45(10) 15(10) 44(16) 160 99.2537(9) 12(29) 0
5 0 18(41) 13(23) 41(27) 40(7) 19(9) 42(13) 17(3) 4(9) 47(25) 0 157 109.06
Total Distance 524.61
Table A.36: EMIP-MDA+ERTR solution to CH2.
No. Route Load Distance
1 0 38(24) 65(9) 66(37) 11(37) 53(22) 0 129 77.16
2 0 68(10) 2(26) 74(10) 21(28) 47(19) 48(20) 30(22) 0 135 63.87
3 0 4(30) 45(21) 27(17) 52(19) 46(27) 34(19) 0 133 41.90
4 0 62(18) 28(29) 61(15) 22(12) 1(18) 33(27) 6(19) 0 138 86.75
5 0 57(14) 15(8) 37(14) 20(22) 70(11) 60(13) 71(3) 69(8) 36(12) 139 114.765(21) 29(13) 0
6 0 8(16) 13(12) 54(16) 19(15) 59(24) 14(31) 35(10) 7(15) 0 139 101.99
7 0 58(21) 10(26) 31(25) 55(7) 25(14) 9(29) 39(16) 72(1) 0 139 110.55
8 0 75(20) 67(30) 26(18) 12(16) 40(33) 17(20) 0 137 43.41
9 0 51(12) 49(5) 24(27) 18(13) 50(22) 32(28) 44(17) 3(11) 0 135 89.66
10 0 16(19) 63(11) 23(6) 56(26) 41(15) 64(28) 42(11) 43(18) 73(6) 0 140 109.72
Total Distance 839.77
216
Table A.37: EMIP-MDA+ERTR solution to CH4.
No. Route Load Distance
1 0 142(2) 87(8) 150(17) 141(1) 41(27) 94(18) 19(9) 64(20) 88(16) 195 102.1140(7) 136(35) 66(19) 111(13) 56(3) 0
2 0 11(19) 100(13) 2(30) 83(11) 131(26) 129(23) 53(13) 127(14) 16(15) 180 60.7178(16) 0
3 0 32(12) 51(10) 22(8) 80(21) 70(9) 28(14) 31(11) 82(23) 8(23) 189 81.9560(16) 81(27) 27(15) 0
4 0 46(5) 138(9) 48(17) 112(19) 61(12) 7(19) 69(17) 23(16) 98(36) 195 82.81132(16) 57(5) 6(15) 102(9) 0
5 0 144(27) 145(20) 109(28) 148(10) 135(41) 143(22) 4(9) 149(9) 146(11) 0 177 49.19
6 0 123(9) 125(18) 106(6) 73(29) 117(25) 89(31) 39(14) 75(6) 105(2) 199 110.8854(19) 10(5) 49(18) 76(17) 0
7 0 68(12) 14(21) 58(9) 96(1) 24(10) 97(27) 86(5) 43(11) 99(30) 189 129.36114(9) 113(10) 26(7) 140(3) 120(5) 1(7) 119(6) 77(16) 0
8 0 139(15) 18(41) 110(3) 133(11) 25(28) 95(16) 67(2) 13(23) 134(7) 197 77.8455(26) 47(25) 0
9 0 12(29) 63(23) 17(3) 147(12) 92(5) 42(13) 93(7) 65(8) 107(7) 158 79.2244(16) 137(26) 37(9) 0
10 0 9(11) 104(18) 30(19) 34(26) 74(3) 79(9) 21(8) 118(36) 130(6) 180 76.0450(10) 62(19) 38(15) 0
11 0 126(13) 29(6) 128(3) 84(14) 35(17) 85(8) 36(6) 115(20) 121(15) 197 131.28116(25) 3(16) 59(16) 20(28) 101(10) 0
12 0 103(14) 108(18) 52(7) 15(10) 45(10) 91(5) 72(18) 33(23) 124(8) 179 66.01122(25) 71(11) 90(9) 5(21) 0
Total Distance 1047.40
217
Table A.38: EMIP-MDA+ERTR solution to CH5.
No. Route Load Distance
1 0 149(13) 51(30) 7(15) 132(11) 180(26) 35(10) 102(13) 8(16) 176(14) 188 59.3646(27) 175(13) 0
2 0 3(11) 55(15) 44(17) 106(5) 147(36) 73(10) 145(1) 24(27) 107(9) 198 80.7163(21) 117(12) 16(19) 188(15) 0
3 0 81(12) 50(7) 71(8) 129(21) 10(26) 77(14) 119(9) 38(24) 165(25) 200 93.4352(16) 150(10) 100(10) 26(18) 0
4 0 197(10) 41(15) 90(27) 143(18) 68(9) 42(11) 113(20) 137(16) 89(7) 200 103.47185(35) 115(19) 160(13) 0
5 0 69(28) 108(16) 11(37) 170(15) 164(20) 85(6) 134(8) 84(17) 14(31) 195 113.53133(14) 177(3) 0
6 0 66(3) 196(12) 191(2) 1(18) 136(8) 199(17) 43(18) 190(1) 184(41) 199 58.22192(22) 158(28) 53(9) 198(9) 195(11) 0
7 0 61(29) 6(19) 0 48 10.06
8 0 96(25) 67(41) 159(3) 182(11) 49(5) 74(28) 144(16) 116(2) 62(23) 196 80.0623(6) 183(7) 104(26) 105(3) 0
9 0 60(19) 178(23) 78(6) 19(15) 70(8) 128(9) 123(3) 13(12) 83(26) 195 81.42153(18) 45(21) 98(18) 125(17) 0
10 0 95(5) 187(9) 97(17) 161(19) 9(29) 109(16) 39(16) 40(33) 76(15) 195 58.6017(20) 126(16) 0
11 0 181(16) 18(13) 146(27) 135(5) 92(11) 148(30) 163(9) 31(25) 131(23) 197 125.3280(11) 169(5) 12(16) 168(6) 0
12 0 112(23) 86(9) 93(16) 156(7) 114(8) 142(7) 91(13) 141(5) 22(12) 200 81.43186(26) 194(20) 193(27) 33(27) 0
13 0 87(15) 4(30) 111(19) 58(11) 27(17) 99(10) 179(6) 167(36) 65(15) 194 48.7734(19) 127(16) 0
14 0 152(14) 120(11) 171(25) 174(18) 122(29) 36(12) 155(6) 47(19) 48(20) 197 73.4630(22) 54(21) 0
15 0 157(18) 2(26) 101(7) 28(29) 64(10) 94(10) 140(5) 121(18) 82(23) 200 65.43173(8) 21(28) 172(9) 139(9) 0
16 0 59(5) 103(19) 5(21) 88(14) 37(14) 138(31) 166(25) 20(22) 124(6) 199 96.24154(2) 15(8) 79(19) 29(13) 0
17 0 151(9) 32(28) 72(16) 118(17) 56(19) 25(14) 110(12) 75(7) 162(10) 185 86.19189(3) 57(23) 130(27) 0
Total Distance 1315.70
218
Table A.39: EMIP-MDA+ERTR solution to CH11.
No. Route Load Distance
1 0 88(4) 2(7) 1(25) 3(13) 4(6) 5(14) 6(5) 7(11) 9(5) 199 134.9610(15) 11(15) 15(18) 14(12) 13(13) 12(17) 8(19) 0
2
0 17(18) 16(13) 19(17) 25(16) 22(12) 24(8) 27(6) 33(7) 30(11)
197 207.9431(10) 34(2) 36(4) 29(9) 35(4) 32(3) 28(5) 26(15) 23(13) 20(4)
21(7) 109(13) 0
3 0 87(21) 92(16) 93(7) 96(11) 94(10) 97(17) 115(11) 110(7) 98(12) 193 74.56116(10) 103(12) 104(7) 99(11) 101(9) 102(11) 105(8) 120(13) 0
4 0 100(7) 53(11) 55(14) 58(16) 56(10) 60(5) 63(16) 66(13) 64(14) 199 213.6362(7) 61(17) 65(17) 59(19) 57(8) 54(12) 52(13) 0
5 0 107(5) 67(17) 69(14) 70(16) 71(7) 74(11) 72(13) 75(35) 78(7) 199 144.5580(10) 79(3) 77(28) 68(13) 76(5) 73(9) 106(6) 0
6 0 40(17) 43(16) 45(9) 48(13) 51(21) 50(4) 49(5) 47(7) 46(11) 200 199.6344(10) 41(20) 42(14) 39(12) 38(14) 37(18) 95(9) 0
7 0 119(20) 81(7) 112(8) 84(10) 117(7) 113(11) 83(11) 108(12) 118(4) 188 66.9618(12) 114(13) 90(16) 91(4) 89(15) 85(8) 86(11) 111(7) 82(12) 0
Total Distance 1042.24
Table A.40: EMIP-MDA+ERTR solution to CH12.
No. Route Load Distance
1 0 98(20) 96(10) 95(30) 94(10) 92(20) 93(40) 97(30) 100(20) 99(10) 0 190 95.94
2 0 75(20) 1(10) 2(30) 4(10) 6(20) 9(10) 11(10) 8(20) 7(20) 170 56.173(10) 5(10) 0
3 0 20(10) 24(10) 25(40) 27(10) 29(10) 30(10) 28(20) 26(10) 23(10) 170 50.8022(20) 21(20) 0
4 0 34(20) 36(10) 39(20) 38(30) 37(20) 35(10) 31(20) 33(40) 32(30) 0 200 97.23
5 0 47(10) 49(10) 52(10) 50(10) 51(10) 48(10) 45(10) 46(30) 44(10) 160 64.8140(10) 41(10) 42(20) 43(10) 0
6 0 57(40) 59(10) 60(20) 58(30) 56(30) 53(20) 54(40) 55(10) 0 200 101.88
7 0 67(10) 65(10) 63(50) 74(50) 62(20) 66(10) 0 150 43.59
8 0 81(30) 78(20) 76(10) 71(20) 70(30) 73(10) 77(10) 79(10) 80(10) 200 137.0272(10) 61(10) 64(10) 68(10) 69(10) 0
9 0 91(10) 89(10) 88(30) 85(30) 84(20) 82(20) 83(10) 86(10) 87(20) 170 76.0790(10) 0
10 0 10(10) 12(20) 14(10) 16(40) 15(40) 19(10) 18(20) 17(20) 13(30) 0 200 96.04
Total Distance 819.56
219
Table A.41: EMIP-MDA+ERTR solution to S51D2.
No. Route Load Distance
1 0 8(22) 26(18) 31(37) 28(23) 22(18) 1(33) 0 151 76.62
2 0 32(23) 20(21) 35(45) 36(22) 3(46) 0 157 90.27
3 0 11(46) 16(18) 50(20) 9(24) 49(47) 0 155 61.39
4 0 46(19) 0 19 4.47
5 0 13(37) 41(36) 40(20) 19(32) 42(18) 12(17) 0 160 102.07
6 0 24(23) 43(43) 7(47) 23(20) 48(19) 0 152 80.58
7 0 27(24) 6(21) 14(19) 25(43) 18(18) 47(33) 0 158 62.43
8 0 38(18) 30(18) 34(18) 21(47) 29(33) 2(23) 0 157 84.13
9 0 45(43) 33(19) 39(47) 10(20) 5(21) 0 150 90.60
10 0 4(28) 17(45) 44(17) 15(41) 37(25) 0 156 64.77
Total Distance 717.34
Table A.42: EMIP-MDA+ERTR solution to S51D3.
No. Route Load Distance
1 0 7(31) 43(68) 23(18) 6(31) 0 148 74.08
2 0 19(25) 40(69) 41(37) 13(20) 25(9) 0 160 100.29
3 0 18(79) 4(71) 0 150 39.59
4 0 27(21) 31(32) 28(78) 1(20) 0 151 66.51
5 0 14(74) 25(14) 24(70) 0 158 63.61
6 0 32(79) 22(72) 0 151 42.51
7 0 9(20) 30(26) 39(56) 10(56) 0 158 81.93
8 0 8(51) 26(52) 48(53) 0 156 58.20
9 0 12(25) 37(32) 15(29) 45(43) 33(28) 0 157 73.03
10 0 2(27) 20(54) 29(25) 21(21) 34(33) 0 160 91.16
11 0 44(61) 42(72) 17(20) 0 153 66.88
12 0 35(43) 36(76) 3(30) 0 149 90.13
13 0 38(57) 49(51) 5(20) 0 128 45.82
14 0 47(76) 46(79) 0 155 21.57
15 0 50(78) 16(32) 11(31) 0 141 53.87
Total Distance 969.18
220
Table A.43: EMIP-MDA+ERTR solution to S51D4.
No. Route Load Distance
1 0 41(136) 4(24) 0 160 61.14
2 0 7(27) 43(117) 6(9) 0 153 73.21
3 0 2(18) 29(118) 11(24) 0 160 59.59
4 0 48(20) 26(124) 0 144 57.12
5 0 1(23) 22(137) 0 160 41.77
6 0 47(131) 0 131 18.87
7 0 30(64) 34(92) 0 156 69.36
8 0 38(77) 9(23) 49(54) 0 154 51.13
9 0 44(106) 37(54) 0 160 50.39
10 0 36(141) 3(19) 0 160 88.57
11 0 18(143) 0 143 29.53
12 0 32(142) 0 142 20.00
13 0 50(43) 21(69) 16(42) 11(6) 0 160 66.07
14 0 17(6) 19(40) 42(63) 37(51) 0 160 77.40
15 0 33(136) 15(24) 0 160 70.40
16 0 6(80) 14(73) 0 153 39.81
17 0 23(48) 24(93) 0 141 56.52
18 0 27(58) 8(102) 0 160 44.06
19 0 31(70) 8(29) 48(61) 0 160 64.08
20 0 13(25) 40(127) 0 152 90.36
21 0 14(66) 25(94) 0 160 47.60
22 0 45(112) 15(10) 37(38) 0 160 63.35
23 0 30(44) 39(100) 49(16) 0 160 81.57
24 0 1(20) 28(127) 0 147 60.01
25 0 4(119) 17(39) 0 158 42.08
26 0 3(6) 35(84) 20(45) 2(25) 0 160 82.74
27 0 46(52) 12(94) 0 146 17.37
28 0 5(35) 10(122) 0 157 56.67
Total Distance 1580.79
221
Table A.44: EMIP-MDA+ERTR solution to S51D5.
No. Route Load Distance
1 0 46(111) 0 111 4.47
2 0 30(36) 34(91) 16(33) 0 160 71.64
3 0 47(61) 18(99) 0 160 32.26
4 0 2(53) 22(39) 1(59) 0 151 52.62
5 0 20(69) 3(52) 22(39) 0 160 73.28
6 0 32(111) 0 111 20.00
7 0 31(52) 28(108) 0 160 66.12
8 0 4(108) 17(13) 12(39) 0 160 42.73
9 0 3(4) 36(100) 35(54) 0 158 90.13
10 0 10(71) 39(55) 30(34) 0 160 81.23
11 0 45(66) 33(56) 10(38) 0 160 78.72
12 0 12(6) 37(49) 44(51) 15(52) 0 158 56.21
13 0 42(111) 17(49) 0 160 62.90
14 0 43(58) 24(93) 0 151 72.08
15 0 19(52) 40(79) 41(17) 0 148 85.10
16 0 38(104) 11(53) 0 157 34.56
17 0 41(38) 13(59) 25(63) 0 160 76.15
18 0 6(48) 23(52) 7(54) 0 154 55.08
19 0 26(51) 8(96) 0 147 57.39
20 0 49(78) 5(49) 12(33) 0 160 47.16
21 0 48(71) 27(52) 0 123 32.41
22 0 2(16) 29(60) 21(64) 16(20) 0 160 69.36
23 0 6(46) 14(111) 0 157 39.81
24 0 9(53) 50(106) 0 159 54.92
Total Distance 1356.37
222
Table A.45: EMIP-MDA+ERTR solution to S51D6.
No. Route Load Distance
1 0 3(17) 36(143) 0 160 88.57
2 0 29(137) 2(23) 0 160 59.20
3 0 6(29) 24(131) 0 160 50.39
4 0 15(18) 33(142) 0 160 70.40
5 0 1(23) 28(137) 0 160 60.01
6 0 15(24) 45(136) 0 160 62.77
7 0 27(18) 8(140) 0 158 44.06
8 0 30(27) 39(133) 0 160 81.20
9 0 2(8) 20(88) 3(64) 0 160 73.43
10 0 41(96) 19(64) 0 160 67.39
11 0 47(140) 0 140 18.87
12 0 12(131) 0 131 16.12
13 0 34(131) 9(29) 0 160 63.87
14 0 20(31) 35(129) 0 160 78.93
15 0 4(143) 0 143 34.41
16 0 32(143) 0 143 20.00
17 0 17(119) 37(31) 0 150 40.47
18 0 18(143) 0 143 29.53
19 0 31(125) 28(2) 3(33) 0 160 78.20
20 0 16(35) 21(125) 0 160 64.14
21 0 27(21) 48(128) 0 149 32.41
22 0 6(15) 43(137) 0 152 69.40
23 0 46(121) 0 121 4.47
24 0 9(52) 30(108) 0 160 62.44
25 0 49(125) 5(35) 0 160 44.02
26 0 40(139) 19(17) 0 156 84.74
27 0 19(37) 42(123) 0 160 71.77
28 0 10(138) 5(22) 0 160 56.67
29 0 16(10) 50(118) 9(32) 0 160 56.42
30 0 6(40) 23(120) 0 160 44.60
31 0 14(142) 0 142 36.22
32 0 27(63) 1(95) 0 158 29.95
33 0 38(82) 5(59) 0 141 37.02
34 0 25(131) 0 131 46.17
35 0 6(46) 7(114) 0 160 54.31
(cont.)
223
Table A.45 continued.
No. Route Load Distance
36 0 27(20) 26(139) 0 159 56.38
37 0 38(45) 11(115) 0 160 34.56
38 0 22(142) 0 142 41.62
39 0 16(73) 2(87) 0 160 51.59
40 0 44(134) 37(26) 0 160 50.39
41 0 15(74) 37(86) 0 160 50.06
42 0 41(46) 13(114) 0 160 69.07
Total Distance 2186.29
Table A.46: EMIP-MDA+ERTR solution to S76D2.
No. Route Load Distance
1 0 17(22) 3(11) 44(41) 32(29) 40(37) 26(20) 0 160 54.53
2 0 51(23) 16(20) 63(19) 33(47) 6(20) 68(28) 0 157 52.74
3 0 73(23) 1(44) 22(29) 62(40) 2(22) 0 158 66.96
4 0 13(35) 57(20) 15(46) 5(16) 29(43) 0 160 68.56
5 0 75(4) 64(38) 42(46) 41(43) 43(27) 0 158 93.21
6 0 7(34) 53(23) 14(18) 59(20) 19(47) 54(16) 0 158 93.88
7 0 3(11) 24(24) 49(32) 56(47) 23(46) 0 160 92.39
8 0 12(6) 9(44) 25(35) 55(21) 18(23) 50(29) 0 158 93.36
9 0 75(14) 4(18) 45(38) 27(43) 52(47) 0 160 40.12
10 0 30(41) 48(13) 21(23) 61(16) 28(26) 74(40) 0 159 77.42
11 0 5(24) 37(47) 36(33) 47(25) 48(31) 0 160 73.22
12 0 12(13) 72(16) 39(31) 31(39) 10(17) 58(29) 26(15) 0 160 81.69
13 0 67(18) 35(35) 8(18) 46(40) 34(46) 0 157 40.43
14 0 69(22) 71(18) 60(45) 70(46) 20(22) 5(7) 0 160 99.52
15 0 53(3) 11(42) 66(47) 65(19) 38(47) 0 158 77.16
Total Distance 1105.19
224
Table A.47: EMIP-MDA+ERTR solution to S76D3.
No. Route Load Distance
1 0 60(79) 70(37) 20(37) 29(7) 0 160 90.62
2 0 46(79) 34(59) 0 138 23.42
3 0 69(73) 71(69) 37(17) 0 159 88.48
4 0 48(39) 47(29) 36(68) 5(17) 0 153 68.39
5 0 8(64) 35(22) 53(59) 7(6) 0 151 50.56
6 0 58(55) 72(57) 12(46) 0 158 46.08
7 0 30(38) 2(37) 6(47) 51(33) 0 155 47.31
8 0 16(21) 49(46) 24(61) 3(24) 0 152 69.50
9 0 27(20) 13(12) 54(67) 52(61) 0 160 58.52
10 0 6(15) 33(8) 63(52) 1(27) 73(58) 0 160 58.15
11 0 68(68) 75(75) 0 143 14.75
12 0 65(79) 66(44) 11(21) 0 144 75.34
13 0 74(32) 28(76) 62(51) 0 159 55.17
14 0 22(46) 61(78) 21(32) 0 156 80.55
15 0 50(74) 18(67) 44(19) 0 160 70.72
16 0 23(20) 56(75) 41(23) 43(26) 33(16) 0 160 83.63
17 0 9(21) 25(31) 55(38) 31(20) 39(23) 26(19) 0 152 104.87
18 0 45(34) 29(21) 15(20) 57(70) 13(15) 0 160 64.16
19 0 4(76) 67(61) 0 137 19.46
20 0 42(79) 64(77) 0 156 88.08
21 0 38(72) 10(77) 58(4) 0 153 59.93
22 0 19(20) 59(45) 14(79) 7(16) 0 160 79.96
23 0 40(47) 32(79) 17(30) 0 156 44.96
Total Distance 1442.61
225
Table A.48: EMIP-MDA+ERTR solution to S76D4.
No. Route Load Distance
1 0 11(104) 53(49) 7(7) 0 160 59.90
2 0 9(51) 31(100) 10(3) 0 154 80.77
3 0 1(86) 73(74) 0 160 51.46
4 0 21(96) 74(64) 0 160 55.36
5 0 75(124) 0 124 60
6 0 32(47) 25(80) 40(33) 0 160 67.53
7 0 72(143) 12(5) 0 148 41.70
8 0 51(30) 63(91) 6(39) 0 160 46.59
9 0 8(41) 19(82) 35(37) 0 160 48.74
10 0 68(138) 0 138 14.56
11 0 7(136) 26(24) 0 160 30.07
12 0 38(25) 65(105) 10(30) 0 160 68.70
13 0 39(143) 12(17) 0 160 44.74
14 0 35(66) 53(94) 0 160 47.70
15 0 61(121) 74(39) 0 160 68.79
16 0 3(139) 44(20) 0 159 43.26
17 0 22(25) 64(121) 0 146 87.03
18 0 58(49) 66(72) 11(34) 0 155 77.24
19 0 62(60) 28(47) 2(46) 0 153 53.37
20 0 35(30) 14(29) 59(101) 0 160 76.98
21 0 17(135) 0 135 16.12
22 0 67(143) 0 143 10.77
23 0 36(21) 69(89) 21(47) 30(3) 0 160 78.49
24 0 24(44) 56(73) 23(35) 16(6) 51(2) 0 160 89.39
25 0 57(135) 15(25) 0 160 59.62
26 0 29(25) 47(86) 48(28) 30(21) 0 160 57.33
27 0 20(37) 70(87) 5(36) 0 160 84.05
28 0 34(17) 54(41) 13(102) 0 160 57.40
29 0 49(141) 16(19) 0 160 56.71
30 0 4(23) 27(50) 52(49) 46(31) 34(7) 0 160 38.48
31 0 45(126) 4(34) 0 160 28.28
32 0 25(44) 55(55) 18(26) 50(35) 0 160 92.18
33 0 43(37) 41(96) 42(27) 0 160 76.67
34 0 15(93) 29(59) 4(8) 0 160 55.87
35 0 63(40) 43(89) 33(31) 0 160 66.01
36 0 71(139) 36(21) 0 160 80.00
37 0 60(98) 37(52) 0 150 86.99
Total Distance 2104.87
226
Table A.49: EMIP-MDA+ERTR solution to S101D2.
No. Route Load Distance
1 0 87(23) 42(19) 43(47) 15(46) 57(23) 0 158 72.41
2 0 95(20) 92(25) 37(40) 98(43) 59(28) 0 156 44.12
3 0 63(22) 64(25) 49(28) 36(39) 47(45) 0 159 112.44
4 0 40(44) 21(45) 73(18) 58(46) 0 153 42.51
5 0 16(18) 86(37) 38(28) 44(47) 14(18) 42(12) 0 160 99.71
6 0 2(18) 41(36) 22(20) 74(32) 72(45) 0 151 63.25
7 0 50(39) 33(44) 81(18) 3(31) 77(18) 0 150 59.14
8 0 60(20) 83(23) 45(32) 46(35) 8(23) 18(19) 0 152 76.79
9 0 53(26) 13(30) 94(47) 6(18) 0 121 32.51
10 0 19(39) 11(47) 62(47) 88(19) 0 152 72.71
11 0 31(31) 70(41) 1(38) 69(19) 27(18) 0 147 49.49
12 0 79(23) 78(20) 34(25) 29(47) 24(21) 12(21) 0 157 86.32
13 0 9(18) 35(41) 71(18) 65(20) 66(46) 20(16) 0 159 112.62
14 0 96(36) 93(18) 85(18) 91(22) 100(43) 97(18) 0 155 54.24
15 0 89(18) 5(26) 84(32) 17(40) 61(21) 99(17) 0 154 66.25
16 0 10(18) 90(45) 32(33) 30(23) 51(40) 0 159 83.48
17 0 82(24) 48(47) 7(41) 52(42) 0 154 57.20
18 0 54(43) 55(34) 25(47) 4(15) 26(21) 0 160 70.22
19 0 4(9) 39(46) 67(17) 23(27) 56(33) 75(21) 0 153 95.52
20 0 80(43) 68(37) 76(47) 28(27) 0 154 46.47
Total Distance 1397.38
227
Table A.50: EMIP-MDA+ERTR solution to S101D3.
No. Route Load Distance
1 0 80(35) 24(60) 29(58) 0 153 67.22
2 0 77(18) 3(79) 76(60) 0 157 44.89
3 0 28(68) 0 68 12.65
4 0 92(68) 97(74) 0 142 38.75
5 0 73(21) 72(61) 21(77) 0 159 45.79
6 0 95(41) 100(79) 37(33) 0 153 48.13
7 0 51(20) 9(60) 81(28) 33(45) 0 153 66.84
8 0 32(75) 90(71) 10(11) 0 157 71.04
9 0 50(79) 69(26) 27(38) 0 143 39.25
10 0 20(52) 66(24) 65(30) 71(21) 35(29) 0 156 112.21
11 0 68(79) 54(75) 0 154 54.23
12 0 49(24) 64(69) 63(20) 10(47) 0 160 106.06
13 0 52(35) 7(75) 88(50) 0 160 46.77
14 0 22(79) 74(66) 72(15) 0 160 55.72
15 0 62(34) 11(68) 19(52) 0 154 72.64
16 0 26(74) 40(78) 53(3) 0 155 29.43
17 0 13(74) 58(59) 53(26) 0 159 26.83
18 0 36(79) 47(21) 48(57) 0 157 82.82
19 0 6(31) 99(48) 96(78) 0 157 35.08
20 0 2(33) 57(31) 15(60) 87(31) 0 155 62.65
21 0 42(11) 14(69) 44(71) 91(7) 0 158 72.39
22 0 30(59) 70(48) 31(33) 0 140 55.17
23 0 1(21) 34(36) 78(76) 79(24) 0 157 76.18
24 0 60(48) 17(79) 84(24) 0 151 61.09
25 0 86(77) 38(22) 43(23) 42(38) 0 160 101.05
26 0 98(55) 85(40) 93(64) 0 159 47.50
27 0 12(38) 55(20) 25(69) 4(29) 0 156 71.30
28 0 8(33) 46(70) 45(17) 83(27) 0 147 75.61
29 0 82(79) 18(77) 0 156 47.74
30 0 59(20) 91(28) 16(44) 61(31) 5(37) 0 160 62.51
31 0 75(22) 56(22) 39(25) 67(20) 23(44) 41(22) 0 155 102.82
32 0 94(64) 6(14) 89(52) 0 130 29.30
Total Distance 1921.67
228
Table A.51: EMIP-MDA+ERTR solution to S101D5.
No. Route Load Distance
1 0 31(64) 70(56) 69(28) 0 148 45.84
2 0 97(47) 42(104) 87(9) 0 160 51.86
3 0 97(63) 87(85) 13(11) 0 159 39.91
4 0 52(77) 18(74) 0 151 34.74
5 0 14(106) 100(53) 0 159 64.60
6 0 72(52) 75(99) 74(9) 0 160 56.06
7 0 60(54) 17(52) 84(52) 0 158 61.09
8 0 18(37) 83(109) 60(11) 0 157 44.79
9 0 10(40) 32(111) 30(9) 0 160 71.58
10 0 73(17) 74(39) 22(104) 0 160 54.68
11 0 59(45) 99(77) 96(30) 0 152 37.54
12 0 28(110) 0 110 12.65
13 0 44(93) 16(64) 0 157 67.13
14 0 66(67) 20(86) 0 153 81.06
15 0 71(28) 35(75) 9(52) 0 155 87.82
16 0 77(91) 76(54) 0 145 39.47
17 0 3(62) 81(71) 33(27) 0 160 58.95
18 0 27(53) 69(83) 0 136 24.45
19 0 43(5) 38(89) 86(63) 0 157 100.68
20 0 10(24) 62(79) 88(52) 0 155 57.38
21 0 50(30) 79(111) 0 141 52.57
22 0 6(63) 89(77) 0 140 25.28
23 0 72(3) 23(50) 67(50) 25(55) 0 158 96.75
24 0 41(69) 73(88) 0 157 59.18
25 0 29(57) 24(102) 0 159 66.90
26 0 45(75) 8(83) 0 158 61.81
27 0 1(52) 50(80) 0 132 38.53
28 0 59(49) 93(98) 0 147 41.05
29 0 30(49) 51(111) 0 160 61.64
30 0 43(95) 15(61) 0 156 71.87
31 0 98(44) 37(64) 92(52) 0 160 43.89
32 0 10(24) 63(72) 90(64) 0 160 71.70
33 0 54(49) 80(53) 68(58) 0 160 54.24
34 0 56(71) 39(88) 0 159 70.18
35 0 47(52) 36(108) 0 160 82.82
(cont.)
229
Table A.51 continued.
No. Route Load Distance
36 0 11(63) 19(57) 7(40) 0 160 73.01
37 0 13(41) 95(52) 94(62) 0 155 31.48
38 0 98(15) 91(70) 85(50) 96(22) 0 157 51.97
39 0 7(8) 47(40) 46(111) 0 159 80.10
40 0 21(53) 4(103) 0 156 53.03
41 0 55(107) 54(53) 0 160 61.75
42 0 61(106) 5(52) 0 158 52.82
43 0 33(33) 34(65) 78(55) 0 153 73.19
44 0 7(15) 48(85) 82(60) 0 160 57.20
45 0 53(32) 40(101) 0 133 22.36
46 0 47(16) 49(83) 64(61) 0 160 105.62
47 0 2(59) 57(99) 0 158 47.03
48 0 71(49) 65(111) 0 160 99.89
49 0 53(59) 58(91) 0 150 18.63
50 0 26(84) 12(57) 0 141 33.25
Total Distance 2852.01
Table A.52: EMIP-MDA+ERTR solution to SD1.
No. Route Load Distance
1 0 5(60) 1(40) 0 100 40.00
2 0 3(20) 2(80) 0 100 34.14
3 0 1(20) 4(80) 0 100 34.14
4 0 2(10) 6(90) 0 100 40.00
5 0 3(40) 7(60) 0 100 40.00
6 0 4(10) 8(90) 0 100 40.00
Total Distance 228.28
230
Table A.53: EMIP-MDA+ERTR solution to SD2.
No. Route Load Distance
1 0 4(60) 1(40) 0 100 34.14
2 0 6(80) 2(20) 0 100 40.00
3 0 2(60) 3(40) 0 100 34.14
4 0 1(20) 9(20) 5(60) 0 100 60.00
5 0 14(90) 6(10) 0 100 80.00
6 0 11(60) 7(40) 0 100 60.00
7 0 4(10) 8(90) 0 100 40.00
8 0 2(10) 10(90) 0 100 60.00
9 0 4(10) 12(90) 0 100 60.00
10 0 9(40) 13(60) 0 100 80.00
11 0 3(20) 7(20) 15(60) 0 100 80.00
12 0 4(10) 16(90) 0 100 80.00
Total Distance 708.28
Table A.54: EMIP-MDA+ERTR solution to SD3.
No. Route Load Distance
1 0 3(20) 2(80) 0 100 27.65
2 0 5(20) 4(80) 0 100 27.65
3 0 13(60) 5(40) 0 100 40.00
4 0 7(20) 6(80) 0 100 27.65
5 0 15(60) 7(40) 0 100 40.00
6 0 1(20) 8(80) 0 100 27.65
7 0 1(40) 9(60) 0 100 40.00
8 0 2(10) 10(90) 0 100 39.99
9 0 3(40) 11(60) 0 100 40.00
10 0 4(10) 12(90) 0 100 39.99
11 0 6(10) 14(90) 0 100 39.99
12 0 8(10) 16(90) 0 100 39.99
Total Distance 430.58
231
Table A.55: EMIP-MDA+ERTR solution to SD4.
No. Route Load Distance
1 0 2(80) 1(20) 0 100 25.18
2 0 14(90) 2(10) 0 100 40.00
3 0 4(80) 3(20) 0 100 25.18
4 0 16(90) 4(10) 0 100 40.00
5 0 6(80) 5(20) 0 100 25.18
6 0 18(90) 6(10) 0 100 40.00
7 0 8(80) 7(20) 0 100 25.18
8 0 20(90) 8(10) 0 100 40.00
9 0 9(20) 10(80) 0 100 25.18
10 0 12(80) 11(20) 0 100 25.18
11 0 24(90) 12(10) 0 100 40.00
12 0 1(40) 13(60) 0 100 40.00
13 0 3(40) 15(60) 0 100 40.00
14 0 5(40) 17(60) 0 100 40.00
15 0 7(40) 19(60) 0 100 40.00
16 0 9(40) 21(60) 0 100 40.00
17 0 10(10) 22(90) 0 100 40.00
18 0 11(40) 23(60) 0 100 40.00
Total Distance 631.05
232
Table A.56: EMIP-MDA+ERTR solution to SD5.
No. Route Load Distance
1 0 3(40) 2(60) 0 100 27.65
2 0 10(70) 2(30) 0 100 39.99
3 0 5(40) 4(60) 0 100 27.65
4 0 14(20) 22(80) 0 100 60.01
5 0 7(40) 6(60) 0 100 27.65
6 0 1(40) 8(60) 0 100 27.65
7 0 16(20) 24(80) 0 100 60.01
8 0 27(60) 19(40) 0 100 80.00
9 0 4(30) 12(70) 0 100 39.99
10 0 29(60) 21(20) 5(20) 0 100 80.00
11 0 6(30) 14(70) 0 100 39.99
12 0 23(20) 15(60) 7(20) 0 100 60.00
13 0 8(30) 16(70) 0 100 39.99
14 0 25(60) 17(20) 1(20) 0 100 80.00
15 0 18(80) 10(20) 0 100 59.99
16 0 12(20) 20(80) 0 100 59.99
17 0 3(20) 11(60) 19(20) 0 100 60.00
18 0 17(40) 9(60) 0 100 60.00
19 0 18(10) 26(90) 0 100 79.99
20 0 28(90) 20(10) 0 100 80.00
21 0 21(40) 13(60) 0 100 60.00
22 0 30(90) 22(10) 0 100 80.00
23 0 23(40) 31(60) 0 100 80.00
24 0 32(90) 24(10) 0 100 80.00
Total Distance 1390.57
233
Table A.57: EMIP-MDA+ERTR solution to SD6.
No. Route Load Distance
1 0 2(80) 1(20) 0 100 23.91
2 0 19(60) 3(40) 0 100 39.99
3 0 3(20) 4(80) 0 100 23.90
4 0 6(80) 5(20) 0 100 23.91
5 0 22(90) 6(10) 0 100 40.00
6 0 8(80) 7(20) 0 100 23.90
7 0 24(90) 8(10) 0 100 40.01
8 0 9(20) 10(80) 0 100 23.91
9 0 12(80) 11(20) 0 100 23.90
10 0 28(90) 12(10) 0 100 40.01
11 0 14(80) 13(20) 0 100 23.91
12 0 15(20) 16(80) 0 100 23.90
13 0 1(40) 17(60) 0 100 40.00
14 0 2(10) 18(90) 0 100 40.00
15 0 4(10) 20(90) 0 100 40.00
16 0 5(40) 21(60) 0 100 40.00
17 0 7(40) 23(60) 0 100 39.99
18 0 9(40) 25(60) 0 100 40.00
19 0 10(10) 26(90) 0 100 40.00
20 0 11(40) 27(60) 0 100 39.99
21 0 13(40) 29(60) 0 100 40.00
22 0 14(10) 30(90) 0 100 40.00
23 0 15(40) 31(60) 0 100 39.99
24 0 16(10) 32(90) 0 100 40.01
Total Distance 831.24
234
Table A.58: EMIP-MDA+ERTR solution to SD7.
No. Route Load Distance
1 0 6(20) 2(80) 0 100 40.00
2 0 8(90) 4(10) 0 100 40.00
3 0 5(20) 13(20) 9(60) 0 100 80.00
4 0 2(10) 6(55) 14(30) 10(5) 0 100 80.00
5 0 5(40) 1(60) 0 100 40.00
6 0 6(15) 10(85) 0 100 60.00
7 0 3(60) 7(40) 0 100 40.00
8 0 4(10) 12(90) 0 100 60.00
9 0 18(40) 14(60) 0 100 100.00
10 0 7(20) 11(20) 15(60) 0 100 80.00
11 0 4(70) 16(30) 0 100 80.00
12 0 22(50) 18(50) 0 100 120.00
13 0 16(60) 20(40) 0 100 100.00
14 0 13(40) 17(60) 0 100 100.00
15 0 26(60) 22(40) 0 100 140.00
16 0 11(40) 19(60) 0 100 100.00
17 0 20(50) 24(50) 0 100 120.00
18 0 21(40) 25(60) 0 100 140.00
19 0 23(60) 27(40) 0 100 140.00
20 0 24(40) 28(60) 0 100 140.00
21 0 21(3) 33(37) 29(60) 0 100 180.00
22 0 26(30) 30(70) 0 100 160.00
23 0 28(30) 32(70) 0 100 160.00
24 0 30(15) 34(85) 0 100 180.00
25 0 35(20) 31(60) 27(20) 0 100 180.00
26 0 32(20) 36(80) 0 100 180.00
27 0 21(17) 33(23) 37(60) 0 100 200.00
28 0 30(5) 34(5) 38(90) 0 100 200.00
29 0 35(40) 39(60) 0 100 200.00
30 0 36(10) 40(90) 0 100 200.00
Total Distance 3640.00
235
Table A.59: EMIP-MDA+ERTR solution to SD8.
No. Route Load Distance
1 0 38(90) 22(10) 0 100 200.00
2 0 17(20) 21(60) 9(20) 0 100 120.00
3 0 14(50) 22(50) 0 100 120.00
4 0 8(90) 4(10) 0 100 40.00
5 0 15(60) 11(40) 0 100 80.00
6 0 34(90) 22(10) 0 100 180.00
7 0 41(40) 37(60) 0 100 220.00
8 0 14(20) 42(80) 0 100 220.00
9 0 29(60) 33(40) 0 100 180.00
10 0 22(10) 30(90) 0 100 160.00
11 0 1(60) 0 60 20.00
12 0 2(10) 6(90) 0 100 40.00
13 0 18(90) 14(10) 0 100 100.00
14 0 36(80) 32(20) 0 100 180.00
15 0 25(60) 17(40) 0 100 140.00
16 0 3(60) 7(40) 0 100 40.00
17 0 46(90) 42(10) 0 100 240.00
18 0 27(60) 23(40) 0 100 140.00
19 0 2(80) 7(20) 0 100 52.36
20 0 12(90) 16(10) 0 100 80.00
21 0 28(30) 32(70) 0 100 160.00
22 0 20(70) 24(30) 0 100 120.00
23 0 39(40) 43(60) 0 100 220.00
24 0 45(60) 41(20) 33(20) 0 100 240.00
25 0 23(20) 19(60) 11(20) 0 100 120.00
26 0 31(60) 35(40) 0 100 180.00
27 0 5(60) 0 60 40.00
28 0 13(60) 9(40) 0 100 80.00
29 0 10(90) 14(10) 0 100 80.00
30 0 44(90) 24(10) 0 100 220.00
31 0 47(60) 39(20) 35(20) 0 100 240.00
32 0 40(90) 36(10) 0 100 200.00
33 0 16(80) 20(20) 0 100 100.00
34 0 48(90) 28(10) 0 100 240.00
35 0 28(50) 24(50) 0 100 140.00
36 0 4(80) 0 80 20.00
37 0 26(90) 22(10) 0 100 140.00
Total Distance 5092.36
236
Table A.60: EMIP-MDA+ERTR solution to SD9.
No. Route Load Distance
1 0 2(80) 1(20) 0 100 25.18
2 0 14(90) 2(10) 0 100 40.00
3 0 4(80) 3(20) 0 100 25.18
4 0 6(80) 5(20) 0 100 25.18
5 0 18(90) 6(10) 0 100 40.00
6 0 8(80) 7(20) 0 100 25.18
7 0 20(90) 8(10) 0 100 40.00
8 0 9(20) 10(80) 0 100 25.18
9 0 12(80) 11(20) 0 100 25.18
10 0 1(40) 13(60) 0 100 40.00
11 0 3(40) 15(60) 0 100 40.00
12 0 4(10) 16(90) 0 100 40.00
13 0 5(40) 17(60) 0 100 40.00
14 0 7(40) 19(60) 0 100 40.00
15 0 9(40) 21(60) 0 100 40.00
16 0 10(10) 22(90) 0 100 40.00
17 0 11(40) 23(60) 0 100 40.00
18 0 12(10) 24(90) 0 100 40.00
19 0 37(60) 25(40) 0 100 80.00
20 0 25(20) 26(80) 0 100 75.53
21 0 28(80) 27(20) 0 100 75.53
22 0 40(90) 28(10) 0 100 80.00
23 0 30(80) 29(20) 0 100 75.53
24 0 42(90) 30(10) 0 100 80.00
25 0 31(20) 32(80) 0 100 75.53
26 0 33(20) 34(80) 0 100 75.53
27 0 36(80) 35(20) 0 100 75.53
28 0 48(90) 36(10) 0 100 80.01
29 0 26(10) 38(90) 0 100 80.00
30 0 27(40) 39(60) 0 100 80.00
31 0 29(40) 41(60) 0 100 80.00
32 0 31(40) 43(60) 0 100 80.00
33 0 32(10) 44(90) 0 100 80.00
34 0 33(40) 45(60) 0 100 80.00
35 0 34(10) 46(90) 0 100 80.00
36 0 35(40) 47(60) 0 100 79.99
Total Distance 2044.20
237
Table A.61: EMIP-MDA+ERTR solution to SD10.
No. Route Load Distance
1 0 16(80) 1(20) 0 100 23.91
2 0 2(80) 3(20) 0 100 23.90
3 0 4(90) 0 90 20.00
4 0 22(90) 5(10) 0 100 41.42
5 0 6(90) 0 90 20.00
6 0 8(40) 7(60) 0 100 23.90
7 0 24(90) 8(10) 0 100 40.01
8 0 8(40) 25(60) 0 100 41.42
9 0 11(60) 10(40) 0 100 23.90
10 0 12(90) 0 90 20.00
11 0 13(60) 0 60 20.00
12 0 14(90) 0 90 20.00
13 0 15(20) 31(60) 15(20) 0 100 39.99
14 0 32(90) 16(10) 0 100 40.01
15 0 1(40) 17(60) 0 100 40.00
16 0 2(10) 18(90) 0 100 40.00
17 0 3(40) 19(60) 0 100 39.99
18 0 5(10) 20(90) 0 100 41.42
19 0 5(40) 21(60) 0 100 40.00
20 0 55(60) 23(20) 0 80 80.00
21 0 9(60) 10(40) 0 100 23.91
22 0 10(10) 26(90) 0 100 40.00
23 0 27(60) 28(40) 0 100 47.80
24 0 28(40) 29(60) 0 100 47.81
25 0 15(20) 30(80) 0 100 41.42
26 0 49(60) 33(40) 0 100 80.00
27 0 33(20) 34(80) 0 100 71.71
28 0 36(80) 35(20) 0 100 71.71
29 0 38(80) 37(20) 0 100 71.71
30 0 54(90) 38(10) 0 100 80.01
31 0 23(40) 39(60) 0 100 59.99
32 0 41(20) 40(80) 0 100 71.71
33 0 57(60) 41(40) 0 100 80.00
34 0 43(20) 42(80) 0 100 71.71
35 0 59(60) 43(40) 0 100 80.00
(cont.)
238
Table A.61 continued.
No. Route Load Distance
36 0 28(10) 44(90) 0 100 59.99
37 0 30(10) 46(90) 0 100 60.01
38 0 48(10) 64(90) 0 100 79.99
39 0 47(20) 48(80) 0 100 71.70
40 0 34(10) 50(90) 0 100 80.01
41 0 35(40) 51(60) 0 100 79.99
42 0 36(10) 52(90) 0 100 79.99
43 0 37(40) 53(60) 0 100 80.00
44 0 40(10) 56(90) 0 100 79.99
45 0 42(10) 58(90) 0 100 80.00
46 0 45(10) 60(90) 0 100 86.81
47 0 45(40) 61(60) 0 100 80.00
48 0 45(10) 62(90) 0 100 86.81
49 0 47(40) 63(60) 0 100 80.00
Total Distance 2704.69
239
Table A.62: EMIP-MDA+ERTR solution to SD11.
No. Route Load Distance
1 0 10(21) 14(79) 0 100 80.00
2 0 43(20) 55(60) 51(20) 0 100 280.00
3 0 16(40) 4(60) 0 100 80.00
4 0 10(20) 19(60) 11(20) 0 100 138.31
5 0 7(60) 0 60 40.00
6 0 37(40) 33(60) 0 100 200.00
7 0 24(10) 28(10) 36(80) 0 100 180.00
8 0 28(10) 32(90) 0 100 160.00
9 0 77(60) 69(20) 61(20) 0 100 400.00
10 0 43(40) 47(60) 0 100 240.00
11 0 31(60) 35(40) 0 100 180.00
12 0 18(40) 14(11) 10(49) 0 100 100.00
13 0 4(10) 20(90) 0 100 100.00
14 0 12(90) 4(10) 0 100 60.00
15 0 1(40) 5(60) 0 100 40.00
16 0 59(20) 71(6) 79(60) 75(14) 0 100 400.00
17 0 2(90) 0 90 20.00
18 0 29(60) 37(20) 21(20) 0 100 200.00
19 0 24(30) 28(70) 0 100 140.00
20 0 22(50) 18(50) 0 100 120.00
21 0 26(30) 30(70) 0 100 160.00
22 0 22(40) 26(60) 0 100 140.00
23 0 41(40) 45(60) 0 100 240.00
24 0 49(40) 53(60) 0 100 280.00
25 0 30(10) 38(90) 0 100 200.00
26 0 59(40) 63(60) 0 100 320.00
27 0 23(40) 27(60) 0 100 140.00
28 0 46(10) 42(90) 0 100 240.00
29 0 48(10) 44(90) 0 100 240.00
30 0 6(90) 0 90 40.00
31 0 30(10) 34(90) 0 100 180.00
32 0 49(20) 57(60) 41(20) 0 100 300.00
33 0 52(70) 56(30) 0 100 280.00
34 0 50(20) 46(80) 0 100 260.00
35 0 3(60) 0 60 20.00
(cont.)
240
Table A.62 continued.
No. Route Load Distance
36 0 1(20) 17(20) 9(60) 0 100 100.00
37 0 17(40) 13(60) 0 100 100.00
38 0 66(60) 62(40) 0 100 340.00
39 0 8(90) 4(10) 0 100 40.00
40 0 48(80) 52(20) 0 100 260.00
41 0 61(40) 65(60) 0 100 340.00
42 0 50(70) 54(30) 0 100 280.00
43 0 60(70) 56(30) 0 100 300.00
44 0 69(40) 73(60) 0 100 380.00
45 0 62(50) 58(50) 0 100 320.00
46 0 21(40) 25(60) 0 100 140.00
47 0 72(20) 76(80) 0 100 380.00
48 0 54(60) 58(40) 0 100 300.00
49 0 51(40) 67(60) 0 100 340.00
50 0 36(10) 40(90) 0 100 200.00
51 0 64(10) 68(90) 0 100 340.00
52 0 66(30) 70(70) 0 100 360.00
53 0 11(40) 15(60) 0 100 80.00
54 0 56(30) 72(70) 0 100 360.00
55 0 23(20) 39(60) 35(20) 0 100 200.00
56 0 70(20) 74(80) 0 100 380.00
57 0 71(54) 75(46) 0 100 380.00
58 0 60(20) 64(80) 0 100 320.00
59 0 16(50) 24(50) 0 100 120.00
60 0 74(10) 78(90) 0 100 400.00
61 0 76(10) 80(90) 0 100 400.00
Total Distance 13358.31
241
Table A.63: EMIP-MDA+ERTR solution to SD12.
No. Route Load Distance
1 0 12(10) 20(90) 0 100 59.99
2 0 24(80) 0 80 60.01
3 0 70(10) 78(90) 0 100 200.00
4 0 18(20) 35(60) 27(20) 0 100 115.75
5 0 9(20) 25(20) 17(60) 0 100 80.00
6 0 62(70) 38(30) 0 100 160.00
7 0 24(10) 56(90) 0 100 140.01
8 0 38(40) 37(60) 0 100 138.26
9 0 40(80) 32(20) 0 100 100.00
10 0 49(20) 73(60) 65(20) 0 100 200.00
11 0 18(20) 26(80) 0 100 79.99
12 0 3(40) 11(60) 0 100 40.00
13 0 72(90) 32(10) 0 100 180.00
14 0 40(10) 64(90) 0 100 160.00
15 0 26(10) 42(90) 0 100 120.01
16 0 38(20) 46(80) 0 100 120.00
17 0 62(20) 70(80) 0 100 180.00
18 0 65(40) 57(60) 0 100 180.00
19 0 9(40) 1(60) 0 100 40.00
20 0 15(40) 32(60) 0 100 89.47
21 0 21(60) 13(20) 0 80 60.00
22 0 48(90) 0 90 120.00
23 0 4(70) 0 70 20.00
24 0 52(70) 44(30) 0 100 139.99
25 0 55(40) 47(60) 0 100 140.00
26 0 50(10) 58(90) 0 100 160.00
27 0 71(40) 63(60) 0 100 180.00
28 0 77(60) 69(40) 0 100 200.00
29 0 44(10) 68(90) 0 100 180.00
30 0 13(40) 5(60) 0 100 40.00
31 0 46(10) 54(90) 0 100 139.99
32 0 7(60) 0 60 20.00
33 0 36(40) 29(60) 0 100 125.66
34 0 41(40) 49(40) 41(20) 0 100 140.00
35 0 53(40) 45(60) 0 100 140.00
(cont.)
242
Table A.63 continued.
No. Route Load Distance
36 0 44(50) 36(50) 0 100 120.00
37 0 8(10) 16(90) 0 100 39.99
38 0 22(90) 0 90 60.01
39 0 12(80) 4(20) 0 100 39.99
40 0 6(80) 0 80 20.00
41 0 69(20) 61(60) 53(20) 0 100 180.00
42 0 43(40) 51(40) 43(20) 0 100 140.00
43 0 51(20) 67(60) 59(20) 0 100 180.00
44 0 18(10) 34(90) 0 100 100.00
45 0 60(10) 76(90) 0 100 200.01
46 0 28(90) 0 90 80.00
47 0 2(80) 3(20) 0 100 27.65
48 0 66(10) 74(90) 0 100 200.00
49 0 50(60) 18(40) 0 100 140.01
50 0 59(40) 75(60) 0 100 200.00
51 0 30(90) 0 90 80.00
52 0 6(10) 14(90) 0 100 39.99
53 0 27(40) 19(60) 0 100 80.00
54 0 71(20) 79(60) 55(20) 0 100 200.00
55 0 33(60) 25(40) 0 100 100.00
56 0 52(20) 60(80) 0 100 159.99
57 0 80(90) 0 90 200.00
58 0 50(20) 66(80) 0 100 180.00
59 0 2(10) 10(90) 0 100 39.99
60 0 31(40) 39(60) 0 100 100.00
61 0 8(80) 0 80 20.00
62 0 15(20) 23(60) 31(20) 0 100 80.00
Total Distance 7256.77
243
Table A.64: EMIP-MDA+ERTR solution to SD13.
No. Route Load Distance
1 0 21(60) 29(40) 0 100 80.00
2 0 38(30) 46(70) 0 100 120.00
3 0 47(40) 55(60) 0 100 140.00
4 0 36(40) 44(60) 0 100 120.00
5 0 56(40) 64(60) 0 100 160.00
6 0 69(40) 61(60) 0 100 180.00
7 0 35(40) 51(60) 0 100 140.00
8 0 45(20) 37(60) 29(20) 0 100 120.00
9 0 86(90) 54(10) 0 100 220.00
10 0 85(40) 93(60) 0 100 240.00
11 0 78(10) 94(90) 0 100 239.99
12 0 38(40) 62(60) 0 100 160.00
13 0 1(60) 0 60 20.00
14 0 33(40) 49(60) 0 100 140.00
15 0 66(20) 74(80) 0 100 200.00
16 0 90(90) 74(10) 0 100 239.99
17 0 44(20) 52(80) 0 100 139.99
18 0 46(20) 54(80) 0 100 139.99
19 0 58(70) 50(30) 0 100 160.00
20 0 84(10) 92(90) 0 100 240.01
21 0 64(20) 72(80) 0 100 180.00
22 0 40(20) 48(80) 0 100 120.00
23 0 83(60) 75(40) 0 100 220.00
24 0 70(70) 62(30) 0 100 180.00
25 0 31(20) 47(20) 39(60) 0 100 120.00
26 0 2(80) 0 80 20.00
27 0 81(40) 89(60) 0 100 240.00
28 0 58(20) 66(60) 50(20) 0 100 180.00
29 0 8(90) 0 90 20.00
30 0 63(40) 71(60) 0 100 180.00
31 0 36(40) 28(60) 0 100 100.00
32 0 50(40) 42(60) 0 100 140.01
33 0 28(20) 84(80) 0 100 220.01
34 0 16(90) 0 90 39.99
35 0 59(60) 67(40) 0 100 180.00
(cont.)
244
Table A.64 continued.
No. Route Load Distance
36 0 63(20) 95(60) 87(20) 0 100 240.00
37 0 32(10) 24(90) 0 100 80.00
38 0 70(20) 78(80) 0 100 200.00
39 0 66(10) 82(90) 0 100 220.00
40 0 3(20) 11(60) 0 80 40.00
41 0 64(10) 80(90) 0 100 200.00
42 0 81(20) 73(60) 65(20) 0 100 220.00
43 0 28(10) 20(90) 0 100 80.00
44 0 87(40) 79(60) 0 100 220.00
45 0 4(90) 0 90 20.00
46 0 48(10) 88(90) 0 100 220.00
47 0 5(60) 0 60 20.00
48 0 40(50) 56(50) 0 100 140.01
49 0 2(10) 10(90) 0 100 39.99
50 0 43(60) 35(20) 27(20) 0 100 120.00
51 0 3(40) 9(60) 0 100 52.36
52 0 65(40) 57(60) 0 100 180.00
53 0 30(10) 22(90) 0 100 80.00
54 0 12(90) 0 90 39.99
55 0 60(90) 36(10) 0 100 159.99
56 0 6(40) 13(60) 0 100 44.74
57 0 31(40) 23(60) 0 100 80.00
58 0 76(90) 44(10) 0 100 200.01
59 0 6(10) 14(90) 0 100 39.99
60 0 72(10) 96(90) 0 100 240.01
61 0 45(40) 53(60) 0 100 140.00
62 0 26(70) 42(30) 0 100 120.01
63 0 67(20) 75(20) 91(60) 0 100 240.00
64 0 85(20) 77(60) 69(20) 0 100 220.00
65 0 38(20) 30(80) 0 100 100.00
66 0 27(40) 19(60) 0 100 80.00
67 0 40(20) 32(80) 0 100 100.00
68 0 41(60) 33(20) 17(20) 0 100 120.00
69 0 18(10) 34(90) 0 100 100.00
70 0 7(60) 0 60 20.00
(cont.)
245
Table A.64 continued.
No. Route Load Distance
71 0 52(10) 68(90) 0 100 180.00
72 0 17(40) 25(60) 0 100 80.00
73 0 6(40) 15(60) 0 100 44.74
74 0 26(20) 18(80) 0 100 79.99
Total Distance 10141.79
246
Table A.65: EMIP-MDA+ERTR solution to SD14.
No. Route Load Distance
1 0 112(90) 100(10) 0 100 200.00
2 0 75(40) 63(60) 0 100 140.00
3 0 98(80) 39(20) 0 100 188.86
4 0 116(90) 104(10) 0 100 200.00
5 0 82(80) 70(20) 0 100 140.00
6 0 7(60) 8(40) 0 100 25.18
7 0 6(90) 0 90 20.00
8 0 31(60) 19(40) 0 100 60.00
9 0 78(90) 54(10) 0 100 140.00
10 0 36(80) 35(20) 0 100 75.53
11 0 32(10) 44(90) 0 100 80.00
12 0 11(60) 21(40) 0 100 47.32
13 0 8(40) 9(60) 0 100 25.18
14 0 56(80) 55(20) 0 100 125.88
15 0 27(60) 15(40) 0 100 60.00
16 0 74(80) 62(20) 0 100 140.00
17 0 54(40) 43(60) 0 100 115.22
18 0 69(60) 81(40) 0 100 140.01
19 0 10(90) 0 90 20.00
20 0 85(40) 97(60) 0 100 180.00
21 0 64(90) 52(10) 0 100 120.00
22 0 33(60) 21(20) 0 80 60.00
23 0 1(60) 2(40) 0 100 25.18
24 0 15(20) 26(80) 0 100 66.15
25 0 94(80) 57(20) 0 100 174.41
26 0 47(60) 35(40) 0 100 79.99
27 0 37(20) 49(60) 25(20) 0 100 100.00
28 0 71(60) 83(40) 0 100 140.00
29 0 120(90) 84(10) 0 100 199.99
30 0 90(70) 66(30) 0 100 160.01
31 0 20(90) 8(10) 0 100 40.00
32 0 62(70) 50(30) 0 100 120.00
33 0 14(90) 2(10) 0 100 40.00
34 0 34(40) 23(60) 0 100 66.15
35 0 70(70) 58(30) 0 100 120.00
(cont.)
247
Table A.65 continued.
No. Route Load Distance
36 0 108(90) 72(10) 0 100 179.99
37 0 40(20) 52(80) 0 100 100.00
38 0 26(10) 38(90) 0 100 80.00
39 0 83(20) 95(60) 107(20) 0 100 180.00
40 0 30(80) 5(20) 0 100 61.92
41 0 61(20) 85(20) 109(60) 0 100 200.00
42 0 42(90) 30(10) 0 100 80.00
43 0 77(60) 65(40) 0 100 140.00
44 0 67(60) 55(40) 0 100 120.00
45 0 29(60) 17(40) 0 100 60.00
46 0 4(90) 0 90 20.00
47 0 102(80) 90(20) 0 100 180.01
48 0 111(60) 87(40) 0 100 200.00
49 0 13(60) 25(40) 0 100 60.00
50 0 80(60) 79(40) 0 100 176.23
51 0 16(90) 0 90 40.00
52 0 96(90) 84(10) 0 100 160.01
53 0 46(50) 34(50) 0 100 80.00
54 0 81(20) 93(60) 105(20) 0 100 180.01
55 0 79(20) 91(60) 103(20) 0 100 180.00
56 0 73(60) 61(40) 0 100 140.00
57 0 72(30) 84(70) 0 100 140.01
58 0 106(90) 82(10) 0 100 180.00
59 0 22(90) 0 90 40.00
60 0 88(90) 76(10) 0 100 160.00
61 0 39(40) 51(60) 0 100 100.00
62 0 37(40) 50(60) 0 100 115.22
63 0 101(20) 89(60) 65(20) 0 100 180.01
64 0 80(30) 92(70) 0 100 160.00
65 0 60(50) 72(50) 0 100 120.01
66 0 107(40) 119(60) 0 100 200.00
67 0 45(60) 57(40) 0 100 100.01
68 0 12(90) 0 90 20.00
69 0 113(60) 101(40) 0 100 200.00
70 0 17(20) 76(80) 0 100 143.62
(cont.)
248
Table A.65 continued.
No. Route Load Distance
71 0 48(90) 36(10) 0 100 80.01
72 0 2(40) 3(60) 0 100 25.18
73 0 66(60) 54(40) 0 100 120.00
74 0 24(90) 0 90 40.00
75 0 98(10) 110(90) 0 100 200.00
76 0 100(80) 41(20) 0 100 188.86
77 0 117(60) 105(40) 0 100 200.01
78 0 28(30) 40(70) 0 100 80.00
79 0 28(60) 5(40) 0 100 61.92
80 0 118(90) 94(10) 0 100 200.00
81 0 115(60) 103(40) 0 100 200.00
82 0 74(10) 86(90) 0 100 160.00
83 0 68(90) 56(10) 0 100 119.99
84 0 58(60) 46(40) 0 100 100.00
85 0 102(10) 114(90) 0 100 200.01
86 0 18(90) 0 90 40.00
87 0 75(20) 99(60) 87(20) 0 100 180.00
88 0 59(60) 60(40) 0 100 125.89
89 0 32(80) 19(20) 0 100 66.15
90 0 41(40) 53(60) 0 100 100.00
91 0 104(80) 92(20) 0 100 180.00
Total Distance 10780.03
249
Table A.66: EMIP-MDA+ERTR solution to SD15.
No. Route Load Distance
1 0 18(80) 19(20) 0 100 50.35
2 0 112(90) 100(10) 0 100 200.00
3 0 91(60) 103(40) 0 100 180.00
4 0 41(60) 42(40) 0 100 100.70
5 0 12(80) 0 80 20.00
6 0 1(20) 49(60) 25(20) 0 100 100.00
7 0 48(80) 23(20) 0 100 84.79
8 0 33(60) 34(40) 0 100 75.53
9 0 62(40) 74(60) 0 100 140.00
10 0 92(70) 80(30) 0 100 160.00
11 0 6(90) 0 90 20.00
12 0 29(60) 17(40) 0 100 60.00
13 0 56(60) 43(40) 0 100 115.22
14 0 99(60) 87(40) 0 100 180.00
15 0 85(20) 121(20) 133(60) 0 100 240.00
16 0 109(60) 121(40) 0 100 220.00
17 0 57(60) 45(40) 0 100 100.01
18 0 31(60) 19(40) 0 100 60.00
19 0 26(80) 0 80 60.00
20 0 139(60) 127(40) 0 100 240.00
21 0 13(60) 1(40) 0 100 40.00
22 0 93(60) 105(40) 0 100 180.01
23 0 38(90) 26(10) 0 100 80.00
24 0 53(60) 52(40) 0 100 125.88
25 0 46(50) 34(50) 0 100 80.00
26 0 24(90) 0 90 40.00
27 0 60(90) 0 90 100.01
28 0 113(40) 125(60) 0 100 220.00
29 0 14(90) 0 90 40.00
30 0 110(10) 122(90) 0 100 220.00
31 0 105(20) 117(20) 129(60) 0 100 220.01
32 0 98(90) 86(10) 0 100 180.00
33 0 77(20) 126(80) 0 100 240.52
34 0 11(60) 0 60 20.00
35 0 124(90) 0 90 220.00
(cont.)
250
Table A.66 continued.
No. Route Load Distance
36 0 68(70) 56(30) 0 100 119.99
37 0 123(40) 135(60) 0 100 239.99
38 0 44(90) 32(10) 0 100 80.00
39 0 86(80) 15(20) 0 100 163.47
40 0 116(90) 104(10) 0 100 200.00
41 0 10(90) 0 90 20.00
42 0 106(90) 70(10) 0 100 180.00
43 0 50(50) 62(50) 0 100 120.00
44 0 4(90) 0 90 20.00
45 0 113(20) 137(60) 89(20) 0 100 240.00
46 0 27(60) 39(40) 0 100 80.00
47 0 138(90) 126(10) 0 100 240.00
48 0 83(60) 71(40) 0 100 140.00
49 0 81(60) 69(40) 0 100 140.01
50 0 141(60) 117(40) 0 100 240.00
51 0 120(90) 84(10) 0 100 199.99
52 0 43(20) 55(60) 67(20) 0 100 120.00
53 0 23(40) 35(60) 0 100 60.00
54 0 84(10) 96(90) 0 100 160.01
55 0 89(40) 101(60) 0 100 180.01
56 0 32(80) 21(20) 0 100 66.15
57 0 28(90) 0 90 60.00
58 0 47(20) 71(20) 94(60) 0 100 181.06
59 0 131(60) 119(20) 95(20) 0 100 220.00
60 0 82(90) 46(10) 0 100 140.00
61 0 66(20) 102(80) 0 100 180.01
62 0 45(20) 69(20) 80(60) 0 100 165.01
63 0 5(60) 7(40) 0 100 30.00
64 0 74(30) 110(70) 0 100 200.00
65 0 47(40) 59(60) 0 100 100.01
66 0 61(60) 72(40) 0 100 151.07
67 0 142(90) 130(10) 0 100 240.00
68 0 140(90) 128(10) 0 100 240.00
69 0 97(60) 85(40) 0 100 180.00
70 0 127(20) 115(60) 103(20) 0 100 220.00
(cont.)
251
Table A.66 continued.
No. Route Load Distance
71 0 52(20) 100(80) 0 100 180.00
72 0 58(70) 46(30) 0 100 100.00
73 0 88(90) 76(10) 0 100 160.00
74 0 87(20) 111(60) 123(20) 0 100 220.00
75 0 132(80) 72(20) 0 100 220.00
76 0 76(80) 64(20) 0 100 140.00
77 0 128(80) 68(20) 0 100 220.00
78 0 3(60) 15(40) 0 100 40.00
79 0 144(90) 132(10) 0 100 240.00
80 0 9(60) 21(40) 0 100 40.00
81 0 2(90) 0 90 20.00
82 0 94(20) 130(80) 0 100 220.00
83 0 30(90) 18(10) 0 100 60.00
84 0 143(60) 119(40) 0 100 239.99
85 0 78(90) 42(10) 0 100 140.00
86 0 108(90) 48(10) 0 100 179.99
87 0 37(60) 25(40) 0 100 80.00
88 0 51(40) 63(60) 0 100 120.00
89 0 36(90) 12(10) 0 100 60.00
90 0 107(60) 95(40) 0 100 180.00
91 0 90(90) 0 90 160.01
92 0 84(70) 72(30) 0 100 140.01
93 0 67(40) 79(60) 0 100 140.00
94 0 22(90) 0 90 40.00
95 0 114(90) 102(10) 0 100 200.01
96 0 50(40) 73(60) 0 100 156.58
97 0 64(70) 52(30) 0 100 120.00
98 0 8(80) 7(20) 0 100 25.18
99 0 94(10) 118(90) 0 100 200.00
100 0 134(90) 110(10) 0 100 239.99
101 0 104(80) 92(20) 0 100 180.00
102 0 42(20) 54(80) 0 100 100.00
103 0 75(60) 51(20) 39(20) 0 100 140.00
104 0 66(70) 54(10) 42(20) 0 100 120.00
105 0 40(10) 136(90) 0 100 240.00
(cont.)
252
Table A.66 continued.
No. Route Load Distance
106 0 20(90) 8(10) 0 100 40.00
107 0 17(20) 40(80) 0 100 84.79
108 0 65(60) 77(40) 0 100 140.00
109 0 70(80) 58(20) 0 100 120.00
110 0 16(90) 0 90 40.00
Total Distance 15216.29
253
Table A.67: EMIP-MDA+ERTR solution to SD16.
No. Route Load Distance
1 0 103(10) 102(90) 0 100 41.74
2 0 100(40) 101(60) 0 100 41.74
3 0 112(50) 111(50) 0 100 41.75
4 0 99(50) 100(50) 0 100 41.74
5 0 140(40) 141(60) 0 100 41.75
6 0 144(40) 73(60) 0 100 41.75
7 0 65(60) 64(40) 0 100 20.87
8 0 106(90) 107(10) 0 100 41.76
9 0 47(10) 46(90) 0 100 20.87
10 0 116(40) 117(60) 0 100 41.73
11 0 71(10) 70(90) 0 100 20.87
12 0 99(10) 98(90) 0 100 41.73
13 0 88(40) 89(60) 0 100 41.76
14 0 139(50) 140(50) 0 100 41.73
15 0 119(50) 120(50) 0 100 41.75
16 0 8(40) 9(60) 0 100 20.87
17 0 131(10) 130(90) 0 100 41.75
18 0 116(50) 115(50) 0 100 41.74
19 0 143(50) 144(50) 0 100 41.75
20 0 40(40) 41(60) 0 100 20.87
21 0 120(40) 121(60) 0 100 41.74
22 0 87(10) 86(90) 0 100 41.74
23 0 123(10) 122(90) 0 100 41.74
24 0 128(50) 127(50) 0 100 41.74
25 0 5(10) 4(90) 0 100 20.87
26 0 8(50) 7(50) 0 100 20.88
27 0 60(40) 61(60) 0 100 20.87
28 0 51(50) 52(50) 0 100 20.87
29 0 112(40) 113(60) 0 100 41.75
30 0 93(60) 92(40) 0 100 41.74
31 0 52(40) 53(60) 0 100 20.87
32 0 76(50) 75(50) 0 100 41.76
33 0 135(10) 134(90) 0 100 41.73
34 0 55(50) 56(50) 0 100 20.87
35 0 91(10) 90(90) 0 100 41.74
(cont.)
254
Table A.67 continued.
No. Route Load Distance
36 0 110(90) 111(10) 0 100 41.74
37 0 44(50) 43(50) 0 100 20.86
38 0 97(60) 96(40) 0 100 41.75
39 0 15(10) 14(90) 0 100 20.88
40 0 127(10) 126(90) 0 100 41.75
41 0 20(40) 21(60) 0 100 20.88
42 0 104(40) 105(60) 0 100 41.74
43 0 75(10) 74(90) 0 100 41.74
44 0 136(40) 137(60) 0 100 41.74
45 0 132(40) 133(60) 0 100 41.75
46 0 44(40) 45(60) 0 100 20.87
47 0 69(60) 68(40) 0 100 20.88
48 0 43(10) 42(90) 0 100 20.87
49 0 55(10) 54(90) 0 100 20.87
50 0 80(40) 81(60) 0 100 41.75
51 0 32(50) 31(50) 0 100 20.87
52 0 67(10) 66(90) 0 100 20.88
53 0 68(50) 67(50) 0 100 20.87
54 0 83(10) 82(90) 0 100 41.74
55 0 33(60) 32(40) 0 100 20.88
56 0 139(10) 138(90) 0 100 41.74
57 0 143(10) 142(90) 0 100 41.75
58 0 51(10) 50(90) 0 100 20.88
59 0 37(60) 36(40) 0 100 20.87
60 0 59(10) 58(90) 0 100 20.87
61 0 19(10) 18(90) 0 100 20.87
62 0 24(50) 23(50) 0 100 20.88
63 0 24(40) 25(60) 0 100 20.87
64 0 48(50) 47(50) 0 100 20.87
65 0 59(50) 60(50) 0 100 20.87
66 0 27(10) 26(90) 0 100 20.87
67 0 40(50) 39(50) 0 100 20.87
68 0 5(50) 3(50) 0 100 21.74
69 0 92(50) 91(50) 0 100 41.74
70 0 39(10) 38(90) 0 100 20.88
(cont.)
255
Table A.67 continued.
No. Route Load Distance
71 0 20(50) 19(50) 0 100 20.87
72 0 135(50) 136(50) 0 100 41.74
73 0 35(10) 34(90) 0 100 20.87
74 0 48(40) 49(60) 0 100 20.88
75 0 27(50) 28(50) 0 100 20.87
76 0 95(10) 94(90) 0 100 41.74
77 0 36(50) 35(50) 0 100 20.88
78 0 96(50) 95(50) 0 100 41.74
79 0 7(10) 6(90) 0 100 20.87
80 0 16(50) 15(50) 0 100 20.87
81 0 13(60) 12(40) 0 100 20.88
82 0 31(10) 30(90) 0 100 20.88
83 0 123(50) 124(50) 0 100 41.74
84 0 3(10) 2(90) 0 100 20.88
85 0 108(50) 107(50) 0 100 41.74
86 0 103(50) 104(50) 0 100 41.75
87 0 115(10) 114(90) 0 100 41.75
88 0 79(10) 78(90) 0 100 41.75
89 0 64(50) 63(50) 0 100 20.87
90 0 72(50) 71(50) 0 100 20.88
91 0 56(40) 57(60) 0 100 20.88
92 0 63(10) 62(90) 0 100 20.87
93 0 132(50) 131(50) 0 100 41.74
94 0 80(50) 79(50) 0 100 41.74
95 0 23(10) 22(90) 0 100 20.87
96 0 11(10) 10(90) 0 100 20.87
97 0 128(40) 129(60) 0 100 41.74
98 0 84(50) 83(50) 0 100 41.75
99 0 124(40) 125(60) 0 100 41.75
100 0 12(50) 11(50) 0 100 20.87
101 0 16(40) 17(60) 0 100 20.87
102 0 76(40) 77(60) 0 100 41.74
103 0 28(40) 29(60) 0 100 20.87
104 0 119(10) 118(90) 0 100 41.74
105 0 72(40) 1(60) 0 100 20.87
(cont.)
256
Table A.67 continued.
No. Route Load Distance
106 0 108(40) 109(60) 0 100 41.74
107 0 84(40) 85(60) 0 100 41.74
108 0 88(50) 87(50) 0 100 41.74
Total Distance 3382.16
257
Table A.68: EMIP-MDA+ERTR solution to SD17.
No. Route Load Distance
1 0 86(10) 158(90) 0 100 400.00
2 0 1(20) 33(60) 25(20) 0 100 100.00
3 0 40(20) 64(80) 0 100 160.00
4 0 131(20) 139(60) 147(20) 0 100 380.00
5 0 144(90) 112(10) 0 100 360.00
6 0 119(60) 111(20) 103(20) 0 100 300.00
7 0 20(90) 0 90 59.99
8 0 1(40) 7(60) 0 100 34.14
9 0 81(60) 89(40) 0 100 240.00
10 0 146(80) 138(20) 0 100 380.00
11 0 89(20) 113(60) 97(20) 0 100 300.00
12 0 86(60) 94(40) 0 100 239.99
13 0 111(40) 87(60) 0 100 280.00
14 0 24(40) 15(60) 0 100 71.25
15 0 35(60) 19(40) 0 100 100.00
16 0 69(20) 61(60) 53(20) 0 100 180.00
17 0 108(10) 124(90) 0 100 319.99
18 0 160(90) 152(10) 0 100 400.00
19 0 4(40) 5(60) 0 100 27.65
20 0 26(10) 50(90) 0 100 140.01
21 0 21(20) 29(60) 0 80 80.00
22 0 127(20) 159(60) 151(20) 0 100 400.00
23 0 112(10) 128(90) 0 100 320.01
24 0 83(40) 91(60) 0 100 240.00
25 0 34(90) 0 90 100.00
26 0 42(30) 58(70) 0 100 160.00
27 0 151(40) 143(60) 0 100 380.00
28 0 121(40) 129(60) 0 100 340.00
29 0 104(30) 112(70) 0 100 280.00
30 0 94(10) 150(90) 0 100 380.00
31 0 100(30) 108(70) 0 100 280.00
32 0 69(40) 77(60) 0 100 200.00
33 0 136(90) 104(10) 0 100 340.01
34 0 44(30) 52(70) 0 100 139.99
35 0 140(70) 92(30) 0 100 360.00
(cont.)
258
Table A.68 continued.
No. Route Load Distance
36 0 154(90) 146(10) 0 100 400.00
37 0 75(60) 51(40) 0 100 200.00
38 0 18(90) 0 90 59.99
39 0 55(20) 71(20) 63(60) 0 100 180.00
40 0 16(90) 0 90 39.99
41 0 11(20) 19(20) 27(60) 0 100 80.00
42 0 73(60) 41(40) 0 100 200.00
43 0 31(40) 23(60) 0 100 80.00
44 0 117(60) 109(20) 85(20) 0 100 300.00
45 0 66(90) 58(10) 0 100 180.00
46 0 132(90) 100(10) 0 100 340.01
47 0 68(90) 0 90 180.00
48 0 38(40) 37(60) 0 100 138.26
49 0 48(90) 0 90 120.00
50 0 103(40) 95(60) 0 100 260.00
51 0 148(10) 156(90) 0 100 400.00
52 0 28(90) 0 90 80.00
53 0 133(20) 149(20) 157(60) 0 100 400.00
54 0 138(70) 130(30) 0 100 360.00
55 0 6(80) 0 80 20.00
56 0 140(20) 148(80) 0 100 380.00
57 0 46(60) 38(40) 0 100 120.00
58 0 108(10) 116(90) 0 100 300.00
59 0 49(20) 65(60) 41(20) 0 100 180.00
60 0 100(50) 84(50) 0 100 260.00
61 0 49(40) 57(60) 0 100 160.00
62 0 88(60) 96(40) 0 100 240.01
63 0 14(90) 0 90 39.99
64 0 102(20) 134(80) 0 100 339.99
65 0 107(40) 99(60) 0 100 280.00
66 0 12(50) 4(50) 0 100 39.99
67 0 88(30) 120(70) 0 100 300.00
68 0 8(90) 0 90 20.00
69 0 42(60) 26(40) 0 100 120.01
70 0 118(10) 126(90) 0 100 319.99
(cont.)
259
Table A.68 continued.
No. Route Load Distance
71 0 70(90) 46(10) 0 100 180.00
72 0 22(90) 0 90 60.01
73 0 82(10) 90(90) 0 100 239.99
74 0 104(50) 96(50) 0 100 260.00
75 0 60(10) 76(90) 0 100 200.01
76 0 40(60) 24(40) 0 100 100.00
77 0 84(40) 92(60) 0 100 240.01
78 0 71(40) 79(60) 0 100 200.00
79 0 59(60) 51(20) 43(20) 0 100 160.00
80 0 152(80) 120(20) 0 100 380.00
81 0 24(10) 32(90) 0 100 80.00
82 0 122(90) 106(10) 0 100 319.99
83 0 125(60) 133(40) 0 100 340.00
84 0 67(60) 43(40) 0 100 180.00
85 0 2(90) 0 90 20.00
86 0 123(60) 131(40) 0 100 340.00
87 0 55(40) 47(60) 0 100 140.00
88 0 97(40) 105(60) 0 100 280.00
89 0 52(20) 60(80) 0 100 159.99
90 0 102(70) 94(30) 0 100 259.99
91 0 121(20) 137(60) 145(20) 0 100 380.00
92 0 25(40) 17(60) 0 100 80.00
93 0 134(10) 142(90) 0 100 359.99
94 0 58(10) 74(90) 0 100 200.00
95 0 64(10) 80(90) 0 100 200.00
96 0 130(60) 98(40) 0 100 340.01
97 0 98(30) 106(70) 0 100 280.00
98 0 155(60) 147(40) 0 100 400.00
99 0 40(10) 56(90) 0 100 140.01
100 0 21(40) 13(60) 0 100 60.00
101 0 98(20) 82(80) 0 100 260.00
102 0 107(20) 115(60) 83(20) 0 100 300.00
103 0 11(40) 3(60) 0 100 40.00
104 0 145(40) 153(60) 0 100 400.00
105 0 36(90) 0 90 100.00
(cont.)
260
Table A.68 continued.
No. Route Load Distance
106 0 54(90) 46(10) 0 100 139.99
107 0 127(40) 135(60) 0 100 340.00
108 0 72(90) 0 90 180.00
109 0 86(20) 118(80) 0 100 300.00
110 0 39(60) 31(20) 0 80 100.00
111 0 53(40) 45(60) 0 100 140.00
112 0 10(90) 0 90 39.99
113 0 85(40) 93(60) 0 100 240.00
114 0 46(10) 78(90) 0 100 200.00
115 0 30(90) 6(10) 0 100 80.00
116 0 38(10) 62(90) 0 100 160.00
117 0 141(60) 149(40) 0 100 380.00
118 0 26(40) 9(60) 0 100 89.46
119 0 114(90) 106(10) 0 100 300.00
120 0 94(10) 110(90) 0 100 280.00
121 0 12(40) 44(60) 0 100 120.00
122 0 109(40) 101(60) 0 100 280.00
Total Distance 26640.69
261
Table A.69: EMIP-MDA+ERTR solution to SD18.
No. Route Load Distance
1 0 10(10) 42(90) 0 100 60.01
2 0 120(90) 104(10) 0 100 160.00
3 0 130(90) 114(10) 0 100 180.00
4 0 126(90) 0 90 159.99
5 0 66(90) 18(10) 0 100 99.99
6 0 40(90) 0 90 60.01
7 0 74(30) 106(70) 0 100 139.99
8 0 28(90) 0 90 40.01
9 0 54(90) 0 90 80.01
10 0 61(60) 77(40) 0 100 100.00
11 0 62(90) 30(10) 0 100 80.00
12 0 37(20) 100(80) 0 100 143.81
13 0 18(80) 19(20) 0 100 47.81
14 0 113(60) 129(40) 0 100 180.00
15 0 146(90) 50(10) 0 100 200.01
16 0 13(60) 15(40) 0 100 27.65
17 0 33(20) 50(80) 0 100 86.82
18 0 148(90) 116(10) 0 100 200.01
19 0 39(60) 22(40) 0 100 63.83
20 0 98(90) 0 90 140.00
21 0 16(80) 0 80 20.00
22 0 156(90) 140(10) 0 100 199.99
23 0 59(40) 43(60) 0 100 80.00
24 0 154(90) 138(10) 0 100 200.00
25 0 38(90) 0 90 60.01
26 0 64(90) 48(10) 0 100 79.99
27 0 128(80) 112(20) 0 100 160.01
28 0 99(60) 83(40) 0 100 140.01
29 0 83(20) 131(20) 115(60) 0 100 180.00
30 0 46(90) 0 90 60.01
31 0 86(90) 0 90 119.99
32 0 5(60) 4(40) 0 100 23.91
33 0 8(90) 0 90 20.00
34 0 147(60) 131(40) 0 100 200.00
35 0 72(90) 24(10) 0 100 100.00
(cont.)
262
Table A.69 continued.
No. Route Load Distance
36 0 85(60) 69(40) 0 100 120.00
37 0 75(60) 74(40) 0 100 119.51
38 0 53(60) 37(40) 0 100 80.00
39 0 119(40) 135(60) 0 100 180.00
40 0 7(20) 24(80) 0 100 41.43
41 0 138(80) 106(20) 0 100 179.99
42 0 60(90) 0 90 79.99
43 0 56(60) 57(40) 0 100 95.61
44 0 136(90) 56(10) 0 100 180.01
45 0 82(90) 0 90 119.99
46 0 142(80) 63(20) 0 100 185.20
47 0 108(90) 92(10) 0 100 140.01
48 0 78(80) 31(20) 0 100 102.45
49 0 157(60) 141(20) 109(20) 0 100 200.00
50 0 140(80) 77(20) 0 100 187.79
51 0 68(90) 4(10) 0 100 100.00
52 0 67(60) 51(40) 0 100 100.00
53 0 51(20) 114(80) 0 100 165.68
54 0 76(90) 0 90 100.00
55 0 125(60) 141(40) 0 100 180.00
56 0 1(60) 17(40) 0 100 40.00
57 0 103(60) 87(40) 0 100 139.99
58 0 97(20) 129(20) 145(60) 0 100 200.00
59 0 34(90) 0 90 60.01
60 0 20(90) 0 90 40.00
61 0 12(90) 0 90 20.00
62 0 32(90) 16(10) 0 100 40.01
63 0 3(60) 4(40) 0 100 23.90
64 0 44(80) 29(20) 0 100 63.82
65 0 132(90) 100(10) 0 100 180.00
66 0 35(60) 19(40) 0 100 59.99
67 0 49(60) 33(40) 0 100 80.00
68 0 58(90) 0 90 80.00
69 0 74(20) 90(80) 0 100 120.01
70 0 84(90) 0 90 119.99
(cont.)
263
Table A.69 continued.
No. Route Load Distance
71 0 26(90) 0 90 40.00
72 0 80(50) 96(50) 0 100 120.00
73 0 30(80) 15(20) 0 100 41.42
74 0 123(60) 139(40) 0 100 180.00
75 0 124(90) 44(10) 0 100 160.00
76 0 118(90) 102(10) 0 100 160.00
77 0 91(20) 155(60) 139(20) 0 100 200.00
78 0 122(90) 90(10) 0 100 160.00
79 0 21(60) 22(40) 0 100 47.80
80 0 134(80) 133(20) 0 100 215.11
81 0 81(60) 97(40) 0 100 140.00
82 0 45(60) 29(40) 0 100 60.00
83 0 9(60) 0 60 20.00
84 0 36(90) 0 90 60.01
85 0 110(90) 78(10) 0 100 140.01
86 0 143(20) 127(60) 111(20) 0 100 180.00
87 0 94(90) 0 90 120.00
88 0 149(60) 133(40) 0 100 200.00
89 0 88(80) 56(20) 0 100 120.00
90 0 11(60) 10(40) 0 100 23.90
91 0 144(90) 112(10) 0 100 180.00
92 0 23(60) 7(40) 0 100 39.99
93 0 150(90) 134(10) 0 100 200.00
94 0 27(60) 10(40) 0 100 41.41
95 0 107(60) 91(40) 0 100 139.99
96 0 95(60) 111(40) 0 100 140.01
97 0 92(80) 59(20) 0 100 127.67
98 0 93(60) 109(40) 0 100 140.00
99 0 160(90) 128(10) 0 100 199.99
100 0 159(60) 143(40) 0 100 200.00
101 0 158(90) 142(10) 0 100 199.99
102 0 102(80) 69(20) 0 100 150.53
103 0 6(90) 0 90 20.00
104 0 101(20) 116(80) 0 100 180.87
105 0 121(40) 153(60) 0 100 200.00
(cont.)
264
Table A.69 continued.
No. Route Load Distance
106 0 79(60) 63(40) 0 100 100.00
107 0 104(80) 55(20) 0 100 146.42
108 0 65(60) 80(40) 0 100 119.51
109 0 48(80) 17(20) 0 100 63.83
110 0 71(60) 55(40) 0 100 100.00
111 0 47(60) 31(40) 0 100 60.01
112 0 137(60) 121(20) 105(20) 0 100 180.00
113 0 25(20) 73(60) 57(20) 0 100 100.00
114 0 14(90) 0 90 20.00
115 0 112(60) 96(40) 0 100 140.01
116 0 151(60) 119(20) 87(20) 0 100 200.01
117 0 41(60) 25(40) 0 100 60.00
118 0 89(60) 105(40) 0 100 140.00
119 0 2(90) 0 90 20.00
120 0 52(90) 0 90 79.99
121 0 70(90) 22(10) 0 100 100.01
122 0 117(60) 101(40) 0 100 160.00
123 0 152(90) 88(10) 0 100 199.99
Total Distance 14357.77
265
Table A.70: EMIP-MDA+ERTR solution to SD19.
No. Route Load Distance
1 0 181(60) 165(40) 0 100 240.00
2 0 191(60) 176(40) 0 100 275.94
3 0 90(20) 122(80) 0 100 160.00
4 0 24(10) 40(90) 0 100 60.01
5 0 10(90) 0 90 20.00
6 0 127(20) 143(60) 159(20) 0 100 200.00
7 0 125(60) 141(40) 0 100 180.00
8 0 130(80) 99(20) 0 100 196.87
9 0 11(10) 27(40) 11(50) 0 100 39.99
10 0 34(90) 0 90 60.01
11 0 120(10) 152(90) 0 100 199.99
12 0 14(40) 13(60) 0 100 23.91
13 0 131(60) 147(40) 0 100 200.00
14 0 124(90) 108(10) 0 100 160.00
15 0 120(10) 136(90) 0 100 180.01
16 0 33(60) 49(40) 0 100 80.00
17 0 55(20) 56(80) 0 100 95.61
18 0 162(10) 178(90) 0 100 240.01
19 0 94(40) 61(60) 0 100 127.67
20 0 167(40) 183(60) 0 100 240.01
21 0 117(40) 133(40) 117(20) 0 100 180.00
22 0 59(40) 43(60) 0 100 80.00
23 0 169(40) 185(60) 0 100 240.00
24 0 96(90) 0 90 120.00
25 0 39(60) 22(40) 0 100 63.83
26 0 86(20) 118(80) 0 100 160.00
27 0 112(10) 128(90) 0 100 160.01
28 0 3(20) 4(80) 0 100 23.90
29 0 168(10) 184(90) 0 100 240.00
30 0 36(10) 84(90) 0 100 119.99
31 0 186(90) 170(10) 0 100 240.00
32 0 95(60) 79(20) 47(20) 0 100 120.00
33 0 73(20) 89(60) 74(20) 0 100 133.60
34 0 85(60) 101(40) 0 100 140.00
35 0 163(20) 164(80) 0 100 262.92
(cont.)
266
Table A.70 continued.
No. Route Load Distance
36 0 74(20) 106(80) 0 100 139.99
37 0 47(40) 31(60) 0 100 60.01
38 0 7(50) 6(50) 0 100 23.90
39 0 76(80) 93(20) 0 100 133.59
40 0 65(20) 112(80) 0 100 150.56
41 0 82(10) 98(90) 0 100 140.00
42 0 29(20) 46(80) 0 100 63.84
43 0 132(10) 148(90) 0 100 200.01
44 0 38(90) 22(10) 0 100 60.01
45 0 179(60) 163(40) 0 100 239.99
46 0 164(10) 180(90) 0 100 240.00
47 0 17(60) 16(40) 0 100 41.42
48 0 133(20) 149(60) 165(20) 0 100 220.00
49 0 16(10) 32(90) 0 100 40.01
50 0 69(20) 132(80) 0 100 187.80
51 0 110(20) 142(80) 0 100 179.99
52 0 25(20) 24(80) 0 100 47.81
53 0 22(40) 21(60) 0 100 47.80
54 0 108(40) 109(60) 0 100 167.32
55 0 151(60) 167(20) 119(20) 0 100 220.01
56 0 156(20) 172(80) 0 100 220.00
57 0 103(60) 102(40) 0 100 167.30
58 0 91(40) 107(60) 0 100 139.99
59 0 172(10) 188(90) 0 100 240.00
60 0 53(60) 69(40) 0 100 100.00
61 0 30(90) 0 90 40.00
62 0 104(40) 105(60) 0 100 167.30
63 0 79(40) 63(60) 0 100 100.00
64 0 3(40) 19(60) 0 100 39.99
65 0 101(20) 166(80) 0 100 232.65
66 0 2(90) 0 90 20.00
67 0 108(40) 140(60) 0 100 179.99
68 0 114(90) 50(10) 0 100 160.00
69 0 54(30) 86(70) 0 100 119.99
70 0 80(90) 0 90 100.00
(cont.)
267
Table A.70 continued.
No. Route Load Distance
71 0 45(60) 29(40) 0 100 60.00
72 0 97(20) 145(10) 161(20) 145(50) 0 100 220.00
73 0 127(40) 111(60) 0 100 160.00
74 0 175(60) 159(40) 0 100 220.00
75 0 76(10) 92(90) 0 100 120.00
76 0 14(40) 15(60) 0 100 23.90
77 0 51(50) 35(50) 0 100 79.99
78 0 6(40) 5(60) 0 100 23.91
79 0 9(40) 23(60) 0 100 44.73
80 0 147(20) 162(80) 0 100 252.13
81 0 46(10) 62(90) 0 100 80.00
82 0 160(90) 0 90 199.99
83 0 144(90) 0 90 180.00
84 0 42(10) 58(90) 0 100 80.00
85 0 82(80) 49(20) 0 100 127.66
86 0 116(90) 35(10) 0 100 163.53
87 0 67(40) 83(60) 0 100 120.01
88 0 100(90) 0 90 140.00
89 0 54(60) 37(40) 0 100 86.82
90 0 190(90) 174(10) 0 100 240.00
91 0 8(90) 0 90 20.00
92 0 9(10) 88(90) 0 100 120.91
93 0 140(30) 156(70) 0 100 199.99
94 0 166(10) 182(90) 0 100 240.01
95 0 146(90) 130(10) 0 100 200.01
96 0 60(90) 0 90 79.99
97 0 1(60) 16(40) 0 100 23.91
98 0 102(50) 70(50) 0 100 139.99
99 0 55(40) 71(60) 0 100 100.00
100 0 70(40) 87(60) 0 100 133.60
101 0 110(60) 94(40) 0 100 140.01
102 0 26(90) 9(10) 0 100 41.42
103 0 50(10) 66(90) 0 100 99.99
104 0 137(40) 121(60) 0 100 180.00
105 0 48(90) 0 90 60.00
(cont.)
268
Table A.70 continued.
No. Route Load Distance
106 0 64(90) 0 90 79.99
107 0 120(20) 168(80) 0 100 219.99
108 0 18(90) 0 90 40.00
109 0 68(90) 4(10) 0 100 100.00
110 0 77(60) 93(40) 0 100 120.00
111 0 91(20) 75(60) 59(20) 0 100 120.00
112 0 141(20) 157(60) 189(20) 0 100 240.00
113 0 20(90) 0 90 40.00
114 0 7(10) 150(90) 0 100 200.84
115 0 106(10) 138(90) 0 100 179.99
116 0 94(10) 158(90) 0 100 199.99
117 0 73(40) 57(60) 0 100 100.00
118 0 171(40) 155(60) 0 100 220.00
119 0 56(10) 72(90) 0 100 100.00
120 0 37(20) 36(80) 0 100 71.71
121 0 51(10) 67(20) 50(70) 0 100 110.11
122 0 142(10) 174(80) 110(10) 0 100 219.99
123 0 12(90) 0 90 20.00
124 0 113(60) 97(40) 0 100 160.00
125 0 25(40) 41(60) 0 100 60.00
126 0 189(40) 173(60) 0 100 240.00
127 0 44(90) 0 90 59.99
128 0 135(60) 119(40) 0 100 180.00
129 0 27(20) 42(80) 0 100 63.84
130 0 52(90) 0 90 79.99
131 0 90(20) 170(80) 0 100 219.99
132 0 192(90) 176(10) 0 100 240.00
133 0 126(90) 0 90 159.99
134 0 74(50) 90(50) 0 100 120.01
135 0 139(40) 123(60) 0 100 180.00
136 0 134(90) 118(10) 0 100 180.00
137 0 99(40) 115(60) 0 100 160.00
138 0 177(60) 161(40) 0 100 240.00
139 0 14(10) 78(90) 0 100 100.01
140 0 176(40) 129(60) 0 100 243.68
(cont.)
269
Table A.70 continued.
No. Route Load Distance
141 0 81(60) 65(40) 0 100 120.00
142 0 122(10) 154(90) 0 100 200.00
143 0 120(50) 104(50) 0 100 160.00
144 0 169(20) 153(60) 137(20) 0 100 220.00
145 0 139(20) 187(60) 171(20) 0 100 239.99
146 0 28(90) 0 90 40.01
Total Distance 20348.16
270
Table A.71: EMIP-MDA+ERTR solution to SD20.
No. Route Load Distance
1 0 220(80) 208(20) 0 100 380.00
2 0 86(10) 98(90) 0 100 180.00
3 0 10(90) 0 90 20.00
4 0 179(40) 191(60) 0 100 320.01
5 0 186(80) 162(20) 0 100 320.00
6 0 74(90) 2(10) 0 100 140.00
7 0 53(40) 40(60) 0 100 115.22
8 0 131(20) 167(60) 155(20) 0 100 279.99
9 0 43(30) 31(50) 19(20) 0 100 80.00
10 0 19(40) 7(60) 0 100 40.00
11 0 60(10) 108(90) 0 100 179.99
12 0 75(60) 63(40) 0 100 140.00
13 0 126(90) 138(10) 0 100 240.00
14 0 124(90) 136(10) 0 100 240.00
15 0 176(80) 164(20) 0 100 300.00
16 0 111(60) 99(40) 0 100 200.00
17 0 110(90) 86(10) 0 100 200.00
18 0 173(60) 149(40) 0 100 300.00
19 0 52(90) 28(10) 0 100 100.00
20 0 18(80) 6(20) 0 100 40.00
21 0 24(70) 13(30) 0 100 50.35
22 0 176(10) 188(90) 0 100 320.00
23 0 161(60) 149(20) 125(20) 0 100 280.00
24 0 235(60) 223(40) 0 100 400.00
25 0 71(60) 83(40) 0 100 140.00
26 0 40(30) 88(70) 0 100 160.00
27 0 67(60) 91(40) 0 100 160.00
28 0 47(40) 59(60) 0 100 100.01
29 0 32(40) 55(60) 0 100 108.32
30 0 56(40) 57(60) 0 100 125.88
31 0 217(40) 229(60) 0 100 400.00
32 0 231(60) 219(40) 0 100 400.00
33 0 12(20) 47(20) 35(60) 0 100 81.73
34 0 11(50) 46(50) 0 100 81.74
35 0 81(20) 93(60) 105(20) 0 100 180.01
(cont.)
271
Table A.71 continued.
No. Route Load Distance
36 0 94(90) 82(10) 0 100 160.00
37 0 36(90) 24(10) 0 100 60.00
38 0 221(40) 209(60) 0 100 380.00
39 0 169(60) 157(40) 0 100 300.00
40 0 63(20) 87(60) 99(20) 0 100 180.00
41 0 148(20) 136(80) 0 100 260.00
42 0 5(30) 6(70) 0 100 25.18
43 0 121(20) 157(20) 145(60) 0 100 280.00
44 0 51(60) 27(20) 15(20) 0 100 100.00
45 0 54(90) 42(10) 0 100 100.00
46 0 49(20) 84(80) 0 100 156.59
47 0 200(90) 152(10) 0 100 339.99
48 0 196(60) 184(40) 0 100 340.00
49 0 12(30) 23(60) 11(10) 0 100 42.39
50 0 139(20) 163(20) 175(60) 0 100 300.00
51 0 70(90) 0 90 120.00
52 0 12(40) 9(60) 0 100 34.14
53 0 112(90) 100(10) 0 100 200.00
54 0 102(90) 90(10) 0 100 180.01
55 0 118(90) 34(10) 0 100 200.00
56 0 39(60) 27(40) 0 100 80.00
57 0 237(60) 213(40) 0 100 399.99
58 0 97(40) 85(60) 0 100 180.00
59 0 131(40) 143(60) 0 100 239.99
60 0 50(60) 49(40) 0 100 125.88
61 0 34(80) 33(20) 0 100 75.53
62 0 227(20) 239(60) 179(20) 0 100 400.00
63 0 44(90) 32(10) 0 100 80.00
64 0 201(60) 189(40) 0 100 340.00
65 0 1(30) 2(70) 0 100 25.18
66 0 65(60) 77(40) 0 100 140.00
67 0 25(40) 37(60) 0 100 80.00
68 0 147(40) 159(60) 0 100 279.99
69 0 223(20) 211(20) 199(60) 0 100 380.00
70 0 45(60) 33(40) 0 100 80.00
(cont.)
272
Table A.71 continued.
No. Route Load Distance
71 0 185(40) 197(60) 0 100 340.00
72 0 50(30) 86(70) 0 100 160.00
73 0 150(40) 138(60) 0 100 260.00
74 0 22(90) 0 90 40.00
75 0 103(40) 115(60) 0 100 200.00
76 0 222(80) 174(20) 0 100 380.00
77 0 8(90) 0 90 20.00
78 0 61(60) 73(40) 0 100 140.00
79 0 107(40) 95(60) 0 100 180.00
80 0 219(20) 207(60) 195(20) 0 100 380.00
81 0 236(90) 224(10) 0 100 400.01
82 0 62(90) 26(10) 0 100 120.00
83 0 17(60) 29(40) 0 100 60.00
84 0 187(60) 211(40) 0 100 360.00
85 0 81(40) 69(60) 0 100 140.01
86 0 150(30) 162(70) 0 100 280.00
87 0 46(30) 82(70) 0 100 140.00
88 0 38(90) 26(10) 0 100 80.00
89 0 43(30) 78(70) 0 100 150.62
90 0 42(10) 66(90) 0 100 120.00
91 0 106(90) 82(10) 0 100 180.00
92 0 163(40) 151(60) 0 100 280.00
93 0 104(80) 92(20) 0 100 180.00
94 0 165(40) 129(60) 0 100 279.99
95 0 212(90) 152(10) 0 100 359.99
96 0 28(20) 64(80) 0 100 120.00
97 0 96(90) 24(10) 0 100 160.01
98 0 217(20) 205(60) 181(20) 0 100 380.00
99 0 30(90) 18(10) 0 100 60.00
100 0 26(70) 13(30) 0 100 66.15
101 0 182(70) 134(30) 0 100 320.01
102 0 160(30) 148(70) 0 100 280.00
103 0 132(90) 144(10) 0 100 240.00
104 0 4(90) 0 90 20.00
105 0 100(80) 88(20) 0 100 180.00
(cont.)
273
Table A.71 continued.
No. Route Load Distance
106 0 113(60) 101(20) 77(20) 0 100 200.00
107 0 29(20) 41(60) 53(20) 0 100 100.00
108 0 122(90) 134(10) 0 100 239.99
109 0 214(20) 226(80) 0 100 380.00
110 0 155(40) 203(60) 0 100 340.01
111 0 156(20) 144(80) 0 100 260.00
112 0 104(10) 116(90) 0 100 200.00
113 0 134(50) 146(50) 0 100 259.99
114 0 220(10) 232(90) 0 100 400.00
115 0 153(20) 165(20) 177(60) 0 100 300.00
116 0 48(90) 0 90 80.01
117 0 164(70) 152(30) 0 100 280.00
118 0 178(30) 214(70) 0 100 360.00
119 0 80(90) 68(10) 0 100 140.00
120 0 180(30) 192(70) 0 100 320.00
121 0 146(40) 158(60) 0 100 279.99
122 0 130(90) 142(10) 0 100 240.00
123 0 123(60) 135(40) 0 100 239.99
124 0 121(40) 133(60) 0 100 240.00
125 0 152(20) 140(80) 0 100 260.00
126 0 68(80) 56(20) 0 100 119.99
127 0 31(10) 114(90) 0 100 205.53
128 0 178(40) 166(60) 0 100 300.00
129 0 180(40) 168(60) 0 100 300.00
130 0 28(60) 15(40) 0 100 66.15
131 0 158(30) 170(70) 0 100 299.99
132 0 135(20) 147(20) 171(60) 0 100 299.99
133 0 184(50) 172(50) 0 100 320.00
134 0 16(90) 0 90 40.00
135 0 20(90) 0 90 40.00
136 0 120(90) 84(10) 0 100 199.99
137 0 153(40) 141(60) 0 100 260.00
138 0 195(40) 183(60) 0 100 339.99
139 0 142(80) 154(20) 0 100 260.00
140 0 227(40) 215(60) 0 100 380.00
(cont.)
274
Table A.71 continued.
No. Route Load Distance
141 0 204(80) 180(20) 0 100 340.01
142 0 60(80) 25(20) 0 100 108.33
143 0 230(90) 218(10) 0 100 400.01
144 0 172(40) 160(60) 0 100 300.00
145 0 196(30) 208(70) 0 100 360.00
146 0 174(60) 150(20) 138(20) 0 100 300.00
147 0 234(90) 222(10) 0 100 400.00
148 0 2(10) 14(90) 0 100 40.00
149 0 46(10) 58(90) 0 100 100.00
150 0 224(80) 152(20) 0 100 380.01
151 0 238(90) 226(10) 0 100 400.00
152 0 79(60) 91(20) 103(20) 0 100 180.00
153 0 168(30) 156(70) 0 100 280.00
154 0 56(30) 92(70) 0 100 160.00
155 0 89(60) 101(40) 0 100 180.01
156 0 42(70) 5(30) 0 100 81.73
157 0 198(90) 186(10) 0 100 340.00
158 0 128(90) 140(10) 0 100 240.00
159 0 76(90) 64(10) 0 100 140.00
160 0 166(30) 154(70) 0 100 280.00
161 0 83(20) 107(20) 119(60) 0 100 200.00
162 0 109(60) 97(20) 73(20) 0 100 200.00
163 0 182(10) 206(90) 0 100 360.01
164 0 174(10) 210(90) 0 100 360.00
165 0 193(60) 181(40) 0 100 340.00
166 0 78(20) 90(80) 0 100 160.01
167 0 192(10) 240(90) 0 100 400.00
168 0 139(40) 127(60) 0 100 240.00
169 0 170(20) 218(80) 0 100 380.01
170 0 32(40) 21(60) 0 100 66.15
171 0 125(40) 137(60) 0 100 240.00
172 0 233(60) 221(20) 185(20) 0 100 400.00
173 0 178(20) 190(80) 0 100 320.00
174 0 204(10) 216(90) 0 100 360.00
175 0 182(10) 194(90) 0 100 340.01
(cont.)
275
Table A.71 continued.
No. Route Load Distance
176 0 72(90) 0 90 120.01
177 0 1(30) 3(60) 0 90 30.00
178 0 117(60) 105(40) 0 100 200.01
179 0 190(10) 202(90) 0 100 340.00
180 0 225(60) 213(20) 189(20) 0 100 379.99
181 0 192(10) 228(90) 0 100 380.00
Total Distance 39902.76
276
Table A.72: EMIP-MDA+ERTR solution to SD21.
No. Route Load Distance
1 0 65(10) 136(90) 0 100 40.07
2 0 15(50) 18(50) 0 100 22.61
3 0 61(50) 60(50) 0 100 20.87
4 0 23(10) 96(90) 0 100 40.08
5 0 206(40) 205(60) 0 100 62.61
6 0 111(10) 184(90) 0 100 60.23
7 0 9(10) 8(90) 0 100 20.87
8 0 44(40) 41(60) 0 100 22.61
9 0 285(60) 213(40) 0 100 80.01
10 0 228(40) 227(60) 0 100 83.49
11 0 48(50) 49(50) 0 100 20.88
12 0 47(60) 48(40) 0 100 20.87
13 0 196(40) 195(60) 0 100 62.61
14 0 213(10) 284(90) 0 100 80.45
15 0 256(50) 254(50) 0 100 86.98
16 0 55(50) 56(50) 0 100 20.87
17 0 216(50) 145(50) 0 100 62.63
18 0 36(90) 0 90 20.00
19 0 175(10) 174(90) 0 100 62.62
20 0 100(40) 101(60) 0 100 41.74
21 0 127(20) 126(80) 0 100 41.75
22 0 193(60) 191(40) 0 100 65.24
23 0 82(40) 83(60) 0 100 41.74
24 0 111(50) 110(50) 0 100 41.74
25 0 3(10) 76(90) 0 100 40.08
26 0 156(50) 228(50) 0 100 80.00
27 0 216(40) 215(60) 0 100 62.61
28 0 247(60) 246(40) 0 100 83.50
29 0 225(50) 224(50) 0 100 83.49
30 0 38(40) 37(60) 0 100 20.87
31 0 93(10) 92(90) 0 100 41.74
32 0 91(60) 90(40) 0 100 41.74
33 0 187(10) 258(90) 0 100 80.44
34 0 19(10) 20(90) 0 100 20.87
35 0 256(40) 255(60) 0 100 83.49
(cont.)
277
Table A.72 continued.
No. Route Load Distance
36 0 183(60) 182(40) 0 100 62.62
37 0 102(40) 103(60) 0 100 41.74
38 0 82(50) 81(50) 0 100 41.74
39 0 134(40) 135(60) 0 100 41.73
40 0 182(50) 114(50) 0 100 63.14
41 0 6(40) 7(60) 0 100 20.87
42 0 32(90) 0 90 20.00
43 0 180(40) 179(60) 0 100 62.61
44 0 29(60) 30(40) 0 100 20.87
45 0 87(60) 86(40) 0 100 41.74
46 0 163(40) 164(60) 0 100 62.62
47 0 265(50) 266(50) 0 100 83.48
48 0 141(40) 143(60) 0 100 43.48
49 0 78(50) 77(50) 0 100 41.74
50 0 287(10) 286(90) 0 100 83.49
51 0 160(50) 161(50) 0 100 62.62
52 0 237(10) 236(90) 0 100 83.49
53 0 35(10) 108(90) 0 100 40.07
54 0 63(60) 64(40) 0 100 20.87
55 0 26(40) 27(60) 0 100 20.87
56 0 224(40) 223(60) 0 100 83.48
57 0 189(50) 187(50) 0 100 65.22
58 0 278(40) 279(60) 0 100 83.49
59 0 162(90) 89(10) 0 100 60.23
60 0 119(10) 118(90) 0 100 41.74
61 0 129(10) 128(90) 0 100 41.74
62 0 21(10) 22(90) 0 100 20.87
63 0 53(20) 51(60) 0 80 21.74
64 0 119(10) 120(90) 0 100 41.75
65 0 203(40) 275(60) 0 100 80.00
66 0 115(20) 186(20) 257(60) 0 100 80.68
67 0 58(90) 0 90 20.00
68 0 158(10) 230(90) 0 100 80.00
69 0 130(40) 131(60) 0 100 41.75
70 0 123(20) 122(80) 0 100 41.74
(cont.)
278
Table A.72 continued.
No. Route Load Distance
71 0 141(20) 142(80) 0 100 41.74
72 0 287(50) 288(50) 0 100 83.49
73 0 139(10) 140(90) 0 100 41.73
74 0 42(90) 0 90 20.00
75 0 232(40) 231(60) 0 100 83.50
76 0 166(20) 165(60) 164(20) 0 100 65.24
77 0 173(10) 172(90) 0 100 62.61
78 0 104(90) 0 90 40.00
79 0 243(60) 242(40) 0 100 83.49
80 0 115(40) 117(60) 0 100 43.48
81 0 97(50) 98(50) 0 100 41.74
82 0 221(10) 222(90) 0 100 83.49
83 0 109(60) 110(40) 0 100 41.74
84 0 39(10) 112(90) 0 100 40.07
85 0 56(40) 57(60) 0 100 20.88
86 0 274(90) 203(10) 0 100 80.45
87 0 102(50) 100(50) 0 100 43.48
88 0 206(40) 207(60) 0 100 62.62
89 0 77(10) 150(90) 0 100 60.23
90 0 86(50) 85(50) 0 100 41.75
91 0 85(10) 84(90) 0 100 41.74
92 0 260(10) 259(60) 185(30) 0 100 85.17
93 0 245(10) 244(90) 0 100 83.50
94 0 39(50) 38(50) 0 100 20.88
95 0 130(50) 129(50) 0 100 41.75
96 0 127(40) 199(60) 0 100 60.00
97 0 138(40) 137(60) 0 100 41.75
98 0 99(60) 98(40) 0 100 41.73
99 0 5(10) 4(90) 0 100 20.87
100 0 219(10) 220(90) 0 100 83.48
101 0 12(40) 11(60) 0 100 20.87
102 0 191(10) 192(90) 0 100 62.62
103 0 138(50) 139(50) 0 100 41.74
104 0 269(50) 270(50) 0 100 83.49
105 0 72(50) 1(50) 0 100 20.87
(cont.)
279
Table A.72 continued.
No. Route Load Distance
106 0 106(50) 105(50) 0 100 41.74
107 0 270(40) 271(60) 0 100 83.49
108 0 238(40) 239(60) 0 100 83.50
109 0 233(50) 232(50) 0 100 83.48
110 0 33(60) 34(40) 0 100 20.87
111 0 73(50) 75(50) 0 100 43.49
112 0 282(40) 283(60) 0 100 83.49
113 0 147(10) 218(90) 0 100 80.45
114 0 3(50) 5(50) 0 100 21.74
115 0 281(10) 280(90) 0 100 83.49
116 0 18(40) 17(60) 0 100 20.88
117 0 43(10) 188(90) 0 100 60.06
118 0 59(60) 60(40) 0 100 20.87
119 0 225(10) 226(90) 0 100 83.48
120 0 250(50) 249(50) 0 100 83.49
121 0 153(40) 151(60) 0 100 65.22
122 0 28(90) 0 90 20.00
123 0 153(10) 152(90) 0 100 62.60
124 0 126(10) 124(90) 0 100 43.48
125 0 191(10) 263(60) 262(30) 0 100 83.49
126 0 68(50) 67(50) 0 100 20.87
127 0 145(10) 146(90) 0 100 62.62
128 0 16(90) 0 90 20.00
129 0 189(10) 190(90) 0 100 62.61
130 0 67(10) 66(90) 0 100 20.88
131 0 40(90) 0 90 20.00
132 0 90(50) 89(50) 0 100 41.74
133 0 210(40) 211(60) 0 100 62.62
134 0 24(90) 0 90 20.00
135 0 175(40) 177(60) 0 100 65.23
136 0 52(90) 0 90 20.00
137 0 23(50) 25(50) 0 100 21.75
138 0 61(10) 62(90) 0 100 20.86
139 0 121(60) 119(40) 0 100 43.49
140 0 71(60) 72(40) 0 100 20.88
(cont.)
280
Table A.72 continued.
No. Route Load Distance
141 0 181(60) 180(40) 0 100 62.63
142 0 10(90) 0 90 20.00
143 0 53(40) 45(60) 0 100 26.84
144 0 1(10) 2(90) 0 100 20.87
145 0 75(10) 74(90) 0 100 41.74
146 0 12(50) 14(50) 0 100 21.74
147 0 116(90) 0 90 39.99
148 0 261(60) 260(40) 0 100 83.49
149 0 142(10) 214(90) 0 100 60.01
150 0 133(50) 134(50) 0 100 41.74
151 0 153(10) 154(90) 0 100 62.61
152 0 167(30) 166(70) 0 100 62.62
153 0 159(60) 160(40) 0 100 62.61
154 0 200(40) 201(60) 0 100 62.62
155 0 198(90) 197(10) 0 100 62.61
156 0 272(50) 200(50) 0 100 80.00
157 0 180(10) 252(90) 0 100 80.01
158 0 132(90) 133(10) 0 100 41.75
159 0 197(50) 196(50) 0 100 62.62
160 0 175(10) 176(90) 0 100 62.62
161 0 55(10) 54(90) 0 100 20.87
162 0 49(10) 50(90) 0 100 20.87
163 0 233(10) 234(90) 0 100 83.49
164 0 25(10) 97(10) 169(60) 168(20) 0 100 62.62
165 0 65(50) 64(50) 0 100 20.87
166 0 281(50) 282(50) 0 100 83.49
167 0 14(40) 13(60) 0 100 20.87
168 0 240(90) 241(10) 0 100 83.49
169 0 144(90) 73(10) 0 100 41.75
170 0 70(90) 0 90 20.00
171 0 266(40) 267(60) 0 100 83.49
172 0 81(10) 80(90) 0 100 41.75
173 0 147(50) 148(50) 0 100 62.61
174 0 164(10) 163(20) 235(60) 161(10) 0 100 84.30
175 0 122(10) 194(90) 0 100 60.00
(cont.)
281
Table A.72 continued.
No. Route Load Distance
176 0 95(60) 94(40) 0 100 41.74
177 0 229(60) 157(40) 0 100 80.00
178 0 46(90) 0 90 20.00
179 0 213(10) 212(90) 0 100 62.61
180 0 34(50) 35(50) 0 100 20.87
181 0 114(40) 113(60) 0 100 41.74
182 0 94(50) 93(50) 0 100 41.76
183 0 206(10) 204(90) 0 100 65.23
184 0 237(50) 238(50) 0 100 83.49
185 0 185(30) 186(70) 0 100 62.62
186 0 250(40) 251(60) 0 100 83.49
187 0 69(60) 68(40) 0 100 20.88
188 0 106(40) 107(60) 0 100 41.76
189 0 156(40) 155(60) 0 100 62.60
190 0 277(10) 276(90) 0 100 83.47
191 0 31(60) 0 60 20.00
192 0 260(40) 262(60) 0 100 86.97
193 0 246(50) 245(50) 0 100 83.48
194 0 157(20) 158(80) 0 100 62.62
195 0 123(40) 125(60) 0 100 43.48
196 0 178(90) 105(10) 0 100 60.23
197 0 253(60) 254(40) 0 100 83.48
198 0 167(30) 168(70) 0 100 62.62
199 0 88(90) 15(10) 0 100 40.08
200 0 30(50) 26(50) 0 100 23.47
201 0 203(10) 202(90) 0 100 62.62
202 0 19(50) 21(50) 0 100 21.75
203 0 249(10) 248(90) 0 100 83.50
204 0 6(50) 9(50) 0 100 22.61
205 0 209(10) 208(90) 0 100 62.62
206 0 264(90) 265(10) 0 100 83.50
207 0 78(40) 79(60) 0 100 41.75
208 0 242(50) 241(50) 0 100 83.48
209 0 272(40) 273(60) 0 100 83.49
210 0 268(90) 269(10) 0 100 83.49
(cont.)
282
Table A.72 continued.
No. Route Load Distance
211 0 210(50) 209(50) 0 100 62.62
212 0 171(50) 173(50) 0 100 65.23
213 0 44(50) 43(50) 0 100 20.86
214 0 277(50) 278(50) 0 100 83.49
215 0 217(60) 288(40) 0 100 83.50
216 0 148(40) 149(60) 0 100 62.62
217 0 170(90) 171(10) 0 100 62.62
218 0 221(50) 219(50) 0 100 86.97
Total Distance 11436.70
283
Table A.73: EMIP-MDA+ERTR solution to MDA1 with p = .1.
No. Route Load Distance
1 0 4(50) 1(50) 0 100 34.14
2 0 2(50) 3(50) 0 100 34.14
3 0 8(94) 4(6) 0 100 40.00
4 0 1(6) 5(94) 0 100 40.00
5 0 2(6) 6(94) 0 100 40.00
6 0 3(6) 7(94) 0 100 40.00
Total Distance 228.28
Table A.74: EMIP-MDA+ERTR solution to MDA2 with p = .1.
No. Route Load Distance
1 0 6(44) 2(56) 0 100 40.00
2 0 15(94) 3(6) 0 100 80.00
3 0 8(94) 4(6) 0 100 40.00
4 0 1(6) 5(94) 0 100 40.00
5 0 3(50) 7(50) 0 100 40.00
6 0 1(50) 9(50) 0 100 60.00
7 0 6(50) 10(50) 0 100 60.00
8 0 7(44) 11(56) 0 100 60.00
9 0 4(44) 12(56) 0 100 60.00
10 0 9(6) 13(94) 0 100 80.00
11 0 10(6) 14(94) 0 100 80.00
12 0 4(6) 16(94) 0 100 80.00
Total Distance 720.00
284
Table A.75: EMIP-MDA+ERTR solution to MDA3 with p = .1.
No. Route Load Distance
1 0 9(94) 1(6) 0 100 40.00
2 0 3(50) 2(50) 0 100 27.65
3 0 11(94) 3(6) 0 100 40.00
4 0 4(50) 5(50) 0 100 27.65
5 0 14(94) 6(6) 0 100 39.99
6 0 6(50) 7(50) 0 100 27.65
7 0 1(50) 8(50) 0 100 27.65
8 0 2(6) 10(94) 0 100 39.99
9 0 4(6) 12(94) 0 100 39.99
10 0 5(6) 13(94) 0 100 40.00
11 0 7(6) 15(94) 0 100 40.00
12 0 8(6) 16(94) 0 100 39.99
Total Distance 430.58
Table A.76: EMIP-MDA+ERTR solution to MDA4 with p = .1.
No. Route Load Distance
1 0 12(50) 1(50) 0 100 25.18
2 0 3(50) 2(50) 0 100 25.18
3 0 15(94) 3(6) 0 100 40.00
4 0 16(94) 4(6) 0 100 40.00
5 0 4(50) 5(50) 0 100 25.18
6 0 6(50) 7(50) 0 100 25.18
7 0 9(50) 8(50) 0 100 25.18
8 0 11(50) 10(50) 0 100 25.18
9 0 23(94) 11(6) 0 100 40.00
10 0 24(94) 12(6) 0 100 40.00
11 0 1(6) 13(94) 0 100 40.00
12 0 2(6) 14(94) 0 100 40.00
13 0 5(6) 17(94) 0 100 40.00
14 0 6(6) 18(94) 0 100 40.00
15 0 7(6) 19(94) 0 100 40.00
16 0 8(6) 20(94) 0 100 40.00
17 0 9(6) 21(94) 0 100 40.00
18 0 10(6) 22(94) 0 100 40.00
Total Distance 631.05
285
Table A.77: EMIP-MDA+ERTR solution to MDA5 with p = .1.
No. Route Load Distance
1 0 9(94) 1(6) 0 100 40.00
2 0 3(50) 2(50) 0 100 27.65
3 0 11(94) 3(6) 0 100 40.00
4 0 4(50) 5(50) 0 100 27.65
5 0 14(94) 6(6) 0 100 39.99
6 0 6(50) 7(50) 0 100 27.65
7 0 1(50) 8(50) 0 100 27.65
8 0 2(6) 10(94) 0 100 39.99
9 0 4(6) 12(94) 0 100 39.99
10 0 5(6) 13(94) 0 100 40.00
11 0 7(6) 15(94) 0 100 40.00
12 0 8(6) 16(94) 0 100 39.99
13 0 24(50) 17(50) 0 100 82.97
14 0 26(94) 18(6) 0 100 79.99
15 0 18(50) 19(50) 0 100 82.95
16 0 21(50) 20(50) 0 100 82.95
17 0 30(94) 22(6) 0 100 80.00
18 0 22(50) 23(50) 0 100 82.97
19 0 17(6) 25(94) 0 100 80.00
20 0 19(6) 27(94) 0 100 80.00
21 0 20(6) 28(94) 0 100 80.00
22 0 21(6) 29(94) 0 100 80.00
23 0 23(6) 31(94) 0 100 80.00
24 0 24(6) 32(94) 0 100 80.00
Total Distance 1402.43
286
Table A.78: EMIP-MDA+ERTR solution to MDA6 with p = .1.
No. Route Load Distance
1 0 17(94) 1(6) 0 100 40.00
2 0 1(50) 2(50) 0 100 23.91
3 0 4(50) 3(50) 0 100 23.90
4 0 20(94) 4(6) 0 100 40.00
5 0 5(50) 6(50) 0 100 23.91
6 0 23(94) 7(6) 0 100 39.99
7 0 7(50) 8(50) 0 100 23.90
8 0 10(50) 9(50) 0 100 23.91
9 0 12(50) 11(50) 0 100 23.90
10 0 14(50) 13(50) 0 100 23.91
11 0 30(94) 14(6) 0 100 40.00
12 0 31(94) 15(6) 0 100 39.99
13 0 15(50) 16(50) 0 100 23.90
14 0 2(6) 18(94) 0 100 40.00
15 0 3(6) 19(94) 0 100 39.99
16 0 5(6) 21(94) 0 100 40.00
17 0 6(6) 22(94) 0 100 40.00
18 0 8(6) 24(94) 0 100 40.01
19 0 9(6) 25(94) 0 100 40.00
20 0 10(6) 26(94) 0 100 40.00
21 0 11(6) 27(94) 0 100 39.99
22 0 12(6) 28(94) 0 100 40.01
23 0 13(6) 29(94) 0 100 40.00
24 0 16(6) 32(94) 0 100 40.01
Total Distance 831.24
287
Table A.79: EMIP-MDA+ERTR solution to MDA7 with p = .1.
No. Route Load Distance
1 0 2(50) 1(50) 0 100 34.14
2 0 7(94) 3(6) 0 100 40.00
3 0 3(50) 4(50) 0 100 34.14
4 0 1(6) 5(94) 0 100 40.00
5 0 2(6) 6(94) 0 100 40.00
6 0 4(6) 8(94) 0 100 40.00
7 0 14(94) 10(6) 0 100 80.00
8 0 23(94) 11(6) 0 100 120.00
9 0 9(6) 13(94) 0 100 80.00
10 0 11(50) 15(50) 0 100 80.00
11 0 12(56) 16(44) 0 100 80.00
12 0 9(50) 17(50) 0 100 100.00
13 0 10(44) 18(56) 0 100 100.00
14 0 15(44) 19(56) 0 100 100.00
15 0 16(50) 20(50) 0 100 100.00
16 0 17(6) 21(94) 0 100 120.00
17 0 10(6) 22(94) 0 100 120.00
18 0 20(6) 24(94) 0 100 120.00
19 0 29(44) 25(56) 0 100 160.00
20 0 34(50) 26(50) 0 100 180.00
21 0 31(44) 27(56) 0 100 160.00
22 0 32(44) 28(56) 0 100 160.00
23 0 26(6) 30(94) 0 100 160.00
24 0 35(50) 31(50) 0 100 180.00
25 0 36(50) 32(50) 0 100 180.00
26 0 29(50) 33(50) 0 100 180.00
27 0 40(94) 36(6) 0 100 200.00
28 0 33(6) 37(94) 0 100 200.00
29 0 34(6) 38(94) 0 100 200.00
30 0 35(6) 39(94) 0 100 200.00
Total Distance 3588.28
288
Table A.80: EMIP-MDA+ERTR solution to MDA8 with p = .1.
No. Route Load Distance
1 0 5(94) 1(6) 0 100 40.00
2 0 6(44) 2(56) 0 100 40.00
3 0 7(44) 3(56) 0 100 40.00
4 0 10(50) 6(50) 0 100 60.00
5 0 8(50) 4(50) 0 100 40.00
6 0 1(50) 9(50) 0 100 60.00
7 0 14(94) 10(6) 0 100 80.00
8 0 7(50) 11(50) 0 100 60.00
9 0 8(44) 12(56) 0 100 60.00
10 0 9(6) 13(94) 0 100 80.00
11 0 11(6) 15(94) 0 100 80.00
12 0 4(6) 16(94) 0 100 80.00
13 0 29(94) 17(6) 0 100 160.00
14 0 22(44) 18(56) 0 100 120.00
15 0 23(44) 19(56) 0 100 120.00
16 0 24(44) 20(56) 0 100 120.00
17 0 17(50) 21(50) 0 100 120.00
18 0 26(50) 22(50) 0 100 140.00
19 0 27(50) 23(50) 0 100 140.00
20 0 28(50) 24(50) 0 100 140.00
21 0 21(44) 25(56) 0 100 140.00
22 0 47(94) 27(6) 0 100 240.00
23 0 26(6) 30(94) 0 100 160.00
24 0 35(56) 31(44) 0 100 180.00
25 0 28(6) 32(94) 0 100 160.00
26 0 37(44) 33(56) 0 100 200.00
27 0 38(44) 34(56) 0 100 200.00
28 0 44(50) 36(50) 0 100 220.00
29 0 42(50) 38(50) 0 100 220.00
30 0 31(50) 39(50) 0 100 200.00
31 0 36(6) 40(94) 0 100 200.00
32 0 37(50) 41(50) 0 100 220.00
33 0 39(44) 43(56) 0 100 220.00
34 0 41(6) 45(94) 0 100 240.00
35 0 42(6) 46(94) 0 100 240.00
36 0 44(6) 48(94) 0 100 240.00
Total Distance 5060.00
289
Table A.81: EMIP-MDA+ERTR solution to MDA9 with p = .1.
No. Route Load Distance
1 0 12(44) 1(56) 0 100 25.18
2 0 3(50) 2(50) 0 100 25.18
3 0 5(50) 4(50) 0 100 25.18
4 0 17(94) 5(6) 0 100 40.00
5 0 42(94) 6(6) 0 100 80.00
6 0 8(50) 7(50) 0 100 25.18
7 0 10(50) 9(50) 0 100 25.18
8 0 47(94) 11(6) 0 100 79.99
9 0 48(94) 12(6) 0 100 80.01
10 0 2(6) 14(94) 0 100 40.00
11 0 3(6) 15(94) 0 100 40.00
12 0 4(6) 16(94) 0 100 40.00
13 0 6(50) 18(50) 0 100 40.00
14 0 7(6) 19(94) 0 100 40.00
15 0 8(6) 20(94) 0 100 40.00
16 0 9(6) 21(94) 0 100 40.00
17 0 10(6) 22(94) 0 100 40.00
18 0 11(50) 23(50) 0 100 40.00
19 0 12(6) 24(94) 0 100 40.00
20 0 13(50) 25(50) 0 100 60.00
21 0 26(50) 27(50) 0 100 75.53
22 0 29(50) 28(50) 0 100 75.53
23 0 18(44) 30(56) 0 100 60.00
24 0 32(50) 31(50) 0 100 75.53
25 0 34(50) 33(50) 0 100 75.53
26 0 23(44) 35(56) 0 100 60.00
27 0 13(44) 36(56) 0 100 66.15
28 0 25(6) 37(94) 0 100 80.00
29 0 26(6) 38(94) 0 100 80.00
30 0 27(6) 39(94) 0 100 80.00
31 0 28(6) 40(94) 0 100 80.00
32 0 29(6) 41(94) 0 100 80.00
33 0 31(6) 43(94) 0 100 80.00
34 0 32(6) 44(94) 0 100 80.00
35 0 33(6) 45(94) 0 100 80.00
36 0 34(6) 46(94) 0 100 80.00
Total Distance 2074.12
290
Table A.82: EMIP-MDA+ERTR solution to MDA10 with p = .1.
No. Route Load Distance
1 0 16(50) 15(50) 0 100 23.90
2 0 4(50) 3(50) 0 100 23.90
3 0 4(6) 20(94) 0 100 40.00
4 0 8(50) 7(50) 0 100 23.90
5 0 22(94) 6(6) 0 100 40.00
6 0 5(50) 6(50) 0 100 23.91
7 0 10(50) 9(50) 0 100 23.91
8 0 12(50) 11(50) 0 100 23.90
9 0 27(94) 11(6) 0 100 39.99
10 0 2(50) 1(50) 0 100 23.91
11 0 13(50) 14(50) 0 100 23.91
12 0 14(6) 30(94) 0 100 40.00
13 0 2(6) 18(94) 0 100 40.00
14 0 1(6) 17(94) 0 100 40.00
15 0 3(6) 19(94) 0 100 39.99
16 0 21(94) 5(6) 0 100 40.00
17 0 7(6) 23(94) 0 100 39.99
18 0 24(94) 8(6) 0 100 40.01
19 0 42(50) 41(50) 0 100 71.71
20 0 10(6) 26(94) 0 100 40.00
21 0 28(94) 12(6) 0 100 40.01
22 0 29(94) 13(6) 0 100 40.00
23 0 16(6) 32(94) 0 100 40.01
24 0 15(6) 31(94) 0 100 39.99
25 0 33(6) 49(94) 0 100 80.00
26 0 47(50) 48(50) 0 100 71.70
27 0 36(6) 52(94) 0 100 79.99
28 0 35(50) 36(50) 0 100 71.71
29 0 37(50) 38(50) 0 100 71.71
30 0 55(94) 39(6) 0 100 80.00
31 0 39(44) 40(56) 0 100 71.71
32 0 57(94) 41(6) 0 100 80.00
33 0 25(94) 9(6) 0 100 40.00
(cont.)
291
Table A.82 continued.
No. Route Load Distance
34 0 44(50) 43(50) 0 100 71.71
35 0 44(6) 60(94) 0 100 79.99
36 0 45(50) 46(50) 0 100 71.71
37 0 34(50) 33(50) 0 100 71.71
38 0 64(94) 48(6) 0 100 79.99
39 0 34(6) 50(94) 0 100 80.01
40 0 35(6) 51(94) 0 100 79.99
41 0 53(94) 37(6) 0 100 80.00
42 0 54(94) 38(6) 0 100 80.01
43 0 39(6) 56(94) 0 100 86.80
44 0 42(6) 58(94) 0 100 80.00
45 0 43(6) 59(94) 0 100 80.00
46 0 45(6) 61(94) 0 100 80.00
47 0 62(94) 46(6) 0 100 80.00
48 0 63(94) 47(6) 0 100 80.00
Total Distance 2691.69
292
Table A.83: EMIP-MDA+ERTR solution to MDA11 with p = .1.
No. Route Load Distance
1 0 27(6) 31(94) 0 100 160.00
2 0 8(50) 4(50) 0 100 40.00
3 0 16(94) 4(6) 0 100 80.00
4 0 24(44) 20(56) 0 100 120.00
5 0 43(6) 47(94) 0 100 240.00
6 0 26(50) 22(50) 0 100 140.00
7 0 5(84) 1(16) 0 100 40.00
8 0 49(50) 53(50) 0 100 280.00
9 0 15(94) 3(6) 0 100 80.00
10 0 17(10) 21(40) 25(50) 0 100 140.00
11 0 10(50) 2(50) 0 100 60.00
12 0 34(6) 38(94) 0 100 200.00
13 0 21(54) 17(46) 0 100 120.00
14 0 3(50) 7(50) 0 100 40.00
15 0 43(50) 39(50) 0 100 220.00
16 0 42(6) 46(94) 0 100 240.00
17 0 73(50) 69(50) 0 100 380.00
18 0 34(50) 42(50) 0 100 220.00
19 0 22(44) 18(56) 0 100 120.00
20 0 76(50) 72(50) 0 100 380.00
21 0 30(94) 26(6) 0 100 160.00
22 0 28(6) 32(94) 0 100 160.00
23 0 37(44) 41(56) 0 100 220.00
24 0 51(56) 55(44) 0 100 280.00
25 0 36(50) 44(50) 0 100 220.00
26 0 33(6) 45(94) 0 100 240.00
27 0 14(94) 10(6) 0 100 80.00
28 0 59(50) 55(50) 0 100 300.00
29 0 36(6) 40(94) 0 100 200.00
30 0 71(44) 67(56) 0 100 360.00
31 0 35(56) 39(44) 0 100 200.00
32 0 33(50) 37(50) 0 100 200.00
33 0 60(6) 64(94) 0 100 320.00
(cont.)
293
Table A.83 continued.
No. Route Load Distance
34 0 23(44) 19(56) 0 100 120.00
35 0 54(50) 62(50) 0 100 320.00
36 0 1(40) 5(10) 9(50) 0 100 60.00
37 0 11(56) 7(44) 0 100 60.00
38 0 8(44) 12(56) 0 100 60.00
39 0 75(50) 71(50) 0 100 380.00
40 0 72(44) 68(56) 0 100 360.00
41 0 57(6) 61(94) 0 100 320.00
42 0 50(56) 54(44) 0 100 280.00
43 0 69(44) 65(56) 0 100 360.00
44 0 62(44) 58(56) 0 100 320.00
45 0 2(6) 6(94) 0 100 40.00
46 0 44(6) 48(94) 0 100 240.00
47 0 13(94) 9(6) 0 100 80.00
48 0 74(50) 70(50) 0 100 380.00
49 0 24(50) 28(50) 0 100 140.00
50 0 57(50) 53(44) 49(6) 0 100 300.00
51 0 70(44) 66(56) 0 100 360.00
52 0 27(50) 23(50) 0 100 140.00
53 0 56(44) 52(56) 0 100 280.00
54 0 75(6) 79(94) 0 100 400.00
55 0 56(50) 60(50) 0 100 300.00
56 0 25(6) 29(94) 0 100 160.00
57 0 78(94) 74(6) 0 100 400.00
58 0 63(94) 59(6) 0 100 320.00
59 0 80(94) 76(6) 0 100 400.00
60 0 77(94) 73(6) 0 100 400.00
Total Distance 13220.00
294
Table A.84: EMIP-MDA+ERTR solution to MDA12 with p = .1.
No. Route Load Distance
1 0 26(94) 18(6) 0 100 79.99
2 0 7(50) 6(50) 0 100 27.65
3 0 4(56) 0 56 20.00
4 0 5(56) 0 56 20.00
5 0 27(50) 35(20) 43(30) 0 100 120.00
6 0 1(50) 8(50) 0 100 27.65
7 0 3(50) 2(50) 0 100 27.65
8 0 1(6) 9(94) 0 100 40.00
9 0 2(6) 10(94) 0 100 39.99
10 0 28(50) 36(50) 0 100 100.00
11 0 44(94) 36(6) 0 100 120.00
12 0 56(56) 64(44) 0 100 160.00
13 0 8(6) 16(94) 0 100 39.99
14 0 49(50) 57(50) 0 100 160.00
15 0 11(94) 3(6) 0 100 40.00
16 0 27(44) 19(56) 0 100 80.00
17 0 12(94) 0 94 39.99
18 0 39(50) 31(50) 0 100 100.00
19 0 29(50) 21(50) 0 100 80.00
20 0 63(44) 55(56) 0 100 160.00
21 0 66(50) 50(50) 0 100 180.00
22 0 59(50) 51(50) 0 100 160.00
23 0 20(56) 28(44) 0 100 80.00
24 0 7(6) 15(94) 0 100 40.00
25 0 30(44) 22(56) 0 100 80.00
26 0 62(44) 54(56) 0 100 160.00
27 0 18(50) 34(50) 0 100 100.00
28 0 33(6) 41(94) 0 100 120.00
29 0 43(64) 35(36) 0 100 120.00
30 0 68(6) 76(94) 0 100 200.01
31 0 6(6) 14(94) 0 100 39.99
32 0 46(94) 38(6) 0 100 120.00
33 0 38(50) 30(50) 0 100 100.00
(cont.)
295
Table A.84 continued.
No. Route Load Distance
34 0 17(50) 33(50) 0 100 100.00
35 0 66(6) 74(94) 0 100 200.00
36 0 69(50) 61(50) 0 100 180.00
37 0 39(6) 47(94) 0 100 120.00
38 0 40(6) 48(94) 0 100 120.00
39 0 25(94) 17(6) 0 100 80.00
40 0 42(94) 34(6) 0 100 120.01
41 0 51(6) 59(44) 67(50) 0 100 180.00
42 0 60(44) 52(56) 0 100 159.99
43 0 13(94) 0 94 40.00
44 0 24(56) 32(44) 0 100 80.00
45 0 31(44) 23(56) 0 100 80.00
46 0 37(56) 29(44) 0 100 100.00
47 0 40(50) 32(50) 0 100 100.00
48 0 61(44) 53(56) 0 100 160.00
49 0 70(50) 62(50) 0 100 180.00
50 0 71(50) 63(50) 0 100 180.00
51 0 72(50) 64(50) 0 100 180.00
52 0 73(94) 65(6) 0 100 200.00
53 0 49(6) 65(50) 57(44) 0 100 180.00
54 0 75(94) 67(6) 0 100 200.00
55 0 60(50) 68(50) 0 100 180.00
56 0 21(6) 45(94) 0 100 120.00
57 0 79(94) 71(6) 0 100 200.00
58 0 80(94) 72(6) 0 100 200.00
59 0 50(6) 58(94) 0 100 160.00
60 0 77(94) 69(6) 0 100 200.00
61 0 70(6) 78(94) 0 100 200.00
Total Distance 7182.93
296
Table A.85: EMIP-MDA+ERTR solution to MDA13 with p = .1.
No. Route Load Distance
1 0 90(94) 82(6) 0 100 239.99
2 0 43(44) 35(56) 0 100 120.00
3 0 12(64) 4(36) 0 100 39.99
4 0 26(44) 34(56) 0 100 100.00
5 0 7(6) 15(94) 0 100 40.00
6 0 2(6) 10(94) 0 100 39.99
7 0 24(6) 32(94) 0 100 80.00
8 0 3(6) 11(44) 3(50) 0 100 40.00
9 0 18(50) 17(50) 0 100 82.95
10 0 7(50) 8(50) 0 100 27.65
11 0 22(50) 21(50) 0 100 82.96
12 0 72(6) 80(94) 0 100 200.00
13 0 74(94) 50(6) 0 100 200.00
14 0 14(94) 6(6) 0 100 39.99
15 0 21(6) 29(94) 0 100 80.00
16 0 19(6) 27(94) 0 100 80.00
17 0 22(6) 30(94) 0 100 80.00
18 0 92(94) 84(6) 0 100 240.01
19 0 43(50) 51(50) 0 100 140.00
20 0 58(50) 82(50) 0 100 220.00
21 0 23(50) 24(50) 0 100 82.96
22 0 5(6) 13(94) 0 100 40.00
23 0 6(50) 5(50) 0 100 27.65
24 0 64(94) 40(6) 0 100 160.00
25 0 20(50) 12(30) 4(20) 0 100 59.99
26 0 49(50) 41(50) 0 100 140.00
27 0 40(6) 48(94) 0 100 120.00
28 0 44(44) 36(56) 0 100 120.00
29 0 45(44) 37(56) 0 100 120.00
30 0 46(44) 38(56) 0 100 120.00
31 0 79(50) 71(50) 0 100 200.00
32 0 42(94) 18(6) 0 100 120.01
33 0 66(56) 58(44) 0 100 180.00
(cont.)
297
Table A.85 continued.
No. Route Load Distance
34 0 44(50) 52(50) 0 100 139.99
35 0 54(50) 46(50) 0 100 139.99
36 0 87(56) 79(44) 0 100 220.00
37 0 50(50) 26(50) 0 100 140.01
38 0 1(50) 2(50) 0 100 27.65
39 0 83(50) 67(50) 0 100 220.00
40 0 60(94) 52(6) 0 100 159.99
41 0 45(50) 53(50) 0 100 140.00
42 0 47(44) 39(56) 0 100 120.00
43 0 72(44) 88(56) 0 100 220.00
44 0 1(6) 9(94) 0 100 40.00
45 0 41(44) 33(56) 0 100 120.00
46 0 83(6) 91(94) 0 100 240.00
47 0 53(6) 61(94) 0 100 160.00
48 0 54(6) 62(94) 0 100 160.00
49 0 47(50) 63(50) 0 100 160.00
50 0 11(50) 19(50) 0 100 60.00
51 0 23(6) 31(94) 0 100 80.00
52 0 49(6) 57(94) 0 100 160.00
53 0 20(6) 28(94) 0 100 80.00
54 0 68(56) 76(44) 0 100 200.01
55 0 77(44) 69(56) 0 100 200.00
56 0 78(50) 86(50) 0 100 220.00
57 0 56(56) 40(44) 0 100 140.01
58 0 65(56) 73(44) 0 100 200.00
59 0 81(6) 89(94) 0 100 240.00
60 0 67(6) 75(94) 0 100 200.00
61 0 85(50) 77(50) 0 100 220.00
62 0 70(56) 78(44) 0 100 200.00
63 0 73(50) 81(50) 0 100 220.00
64 0 16(94) 8(6) 0 100 39.99
65 0 59(94) 51(6) 0 100 160.00
66 0 25(94) 17(6) 0 100 80.00
(cont.)
298
Table A.85 continued.
No. Route Load Distance
67 0 93(94) 85(6) 0 100 240.00
68 0 94(94) 86(6) 0 100 239.99
69 0 63(44) 55(56) 0 100 160.00
70 0 72(6) 96(94) 0 100 240.01
71 0 84(50) 76(50) 0 100 220.01
72 0 71(6) 95(94) 0 100 240.00
Total Distance 10111.79
299
Table A.86: EMIP-MDA+ERTR solution to MDA14 with p = .1.
No. Route Load Distance
1 0 76(6) 112(94) 0 100 200.00
2 0 41(50) 29(50) 0 100 80.00
3 0 86(50) 110(50) 0 100 200.00
4 0 28(6) 40(94) 0 100 80.00
5 0 75(50) 99(50) 0 100 180.00
6 0 80(56) 92(44) 0 100 160.00
7 0 69(94) 57(6) 0 100 120.01
8 0 34(6) 46(94) 0 100 80.00
9 0 26(6) 38(94) 0 100 80.00
10 0 52(6) 64(94) 0 100 120.00
11 0 18(94) 6(6) 0 100 40.00
12 0 95(44) 83(56) 0 100 160.00
13 0 12(44) 1(56) 0 100 25.18
14 0 110(44) 98(56) 0 100 200.00
15 0 22(94) 0 94 40.00
16 0 5(50) 4(50) 0 100 25.18
17 0 60(6) 72(94) 0 100 120.01
18 0 88(44) 100(56) 0 100 180.00
19 0 97(6) 109(94) 0 100 200.00
20 0 21(94) 0 94 40.00
21 0 37(94) 0 94 80.00
22 0 31(50) 43(50) 0 100 80.00
23 0 57(50) 33(50) 0 100 100.01
24 0 105(50) 93(50) 0 100 180.01
25 0 84(6) 96(94) 0 100 160.01
26 0 101(6) 113(94) 0 100 200.00
27 0 103(56) 91(44) 0 100 180.00
28 0 82(56) 94(44) 0 100 160.00
29 0 102(6) 114(94) 0 100 200.01
30 0 49(6) 61(94) 0 100 120.00
31 0 12(12) 11(56) 0 68 25.18
32 0 30(6) 89(94) 0 100 166.06
33 0 52(50) 28(50) 0 100 100.00
(cont.)
300
Table A.86 continued.
No. Route Load Distance
34 0 29(6) 65(94) 0 100 120.00
35 0 7(50) 6(50) 0 100 25.18
36 0 51(6) 63(94) 0 100 120.00
37 0 108(56) 84(44) 0 100 179.99
38 0 116(50) 92(50) 0 100 200.00
39 0 56(50) 32(50) 0 100 100.00
40 0 60(50) 36(50) 0 100 100.01
41 0 104(56) 116(44) 0 100 200.00
42 0 3(6) 15(94) 0 100 40.00
43 0 88(50) 76(50) 0 100 160.00
44 0 101(50) 102(50) 0 100 226.59
45 0 58(6) 70(94) 0 100 120.00
46 0 32(6) 44(94) 0 100 80.00
47 0 26(50) 13(50) 0 100 66.15
48 0 5(6) 17(94) 0 100 40.00
49 0 8(50) 9(40) 0 90 25.18
50 0 34(50) 58(50) 0 100 100.00
51 0 53(56) 41(44) 0 100 100.00
52 0 51(50) 27(50) 0 100 100.00
53 0 93(44) 81(56) 0 100 160.01
54 0 59(6) 71(94) 0 100 120.00
55 0 86(44) 74(56) 0 100 160.00
56 0 23(94) 0 94 40.00
57 0 43(44) 55(56) 0 100 100.00
58 0 95(50) 107(50) 0 100 180.00
59 0 79(6) 115(94) 0 100 200.00
60 0 106(6) 118(94) 0 100 200.00
61 0 105(6) 117(94) 0 100 200.01
62 0 47(94) 35(6) 0 100 79.99
63 0 4(6) 16(94) 0 100 40.00
64 0 25(56) 13(44) 0 100 60.00
65 0 107(6) 119(94) 0 100 200.00
66 0 73(56) 85(44) 0 100 160.00
(cont.)
301
Table A.86 continued.
No. Route Load Distance
67 0 30(50) 42(50) 0 100 80.00
68 0 120(94) 84(6) 0 100 199.99
69 0 33(6) 45(94) 0 100 80.00
70 0 2(6) 14(94) 0 100 40.00
71 0 7(6) 19(94) 0 100 40.00
72 0 8(6) 20(94) 0 100 40.00
73 0 31(6) 67(94) 0 100 120.00
74 0 24(94) 0 94 40.00
75 0 36(6) 48(94) 0 100 80.01
76 0 94(50) 106(50) 0 100 180.00
77 0 3(50) 2(50) 0 100 25.18
78 0 50(6) 62(94) 0 100 120.00
79 0 87(94) 75(6) 0 100 160.00
80 0 66(44) 77(56) 0 100 165.00
81 0 91(50) 79(50) 0 100 160.00
82 0 42(44) 54(56) 0 100 100.00
83 0 78(50) 66(50) 0 100 140.00
84 0 27(6) 39(94) 0 100 80.00
85 0 49(50) 50(50) 0 100 125.88
86 0 56(6) 68(94) 0 100 119.99
87 0 59(50) 35(50) 0 100 100.01
88 0 99(6) 111(94) 0 100 200.00
89 0 10(56) 9(16) 0 72 25.18
90 0 85(50) 97(50) 0 100 180.00
91 0 78(6) 90(94) 0 100 160.01
Total Distance 10845.91
302
Table A.87: EMIP-MDA+ERTR solution to MDA15 with p = .1.
No. Route Load Distance
1 0 80(50) 68(50) 0 100 140.00
2 0 10(38) 11(56) 0 94 25.18
3 0 87(94) 75(6) 0 100 160.00
4 0 69(44) 57(56) 0 100 120.01
5 0 114(94) 102(6) 0 100 200.01
6 0 35(6) 47(94) 0 100 79.99
7 0 136(94) 124(6) 0 100 240.00
8 0 88(94) 52(6) 0 100 160.00
9 0 73(6) 85(94) 0 100 160.00
10 0 67(44) 55(56) 0 100 120.00
11 0 131(50) 119(50) 0 100 220.00
12 0 82(50) 58(50) 0 100 140.00
13 0 25(50) 13(50) 0 100 60.00
14 0 14(50) 12(50) 0 100 47.32
15 0 67(50) 79(50) 0 100 140.00
16 0 50(44) 74(56) 0 100 140.00
17 0 99(6) 111(94) 0 100 200.00
18 0 4(6) 16(94) 0 100 40.00
19 0 72(44) 84(56) 0 100 140.01
20 0 60(50) 72(50) 0 100 120.01
21 0 89(44) 101(56) 0 100 180.01
22 0 77(56) 41(44) 0 100 140.00
23 0 31(50) 44(50) 0 100 90.53
24 0 61(50) 73(50) 0 100 140.00
25 0 105(56) 117(44) 0 100 200.01
26 0 26(56) 14(44) 0 100 60.00
27 0 52(44) 76(56) 0 100 140.00
28 0 132(56) 96(44) 0 100 220.00
29 0 58(6) 70(94) 0 100 120.00
30 0 97(6) 133(94) 0 100 240.00
31 0 21(94) 0 94 40.00
32 0 91(94) 79(6) 0 100 160.00
33 0 59(50) 95(50) 0 100 160.00
(cont.)
303
Table A.87 continued.
No. Route Load Distance
34 0 64(94) 52(6) 0 100 120.00
35 0 23(94) 0 94 40.00
36 0 49(56) 61(44) 0 100 120.00
37 0 37(94) 25(6) 0 100 80.00
38 0 24(94) 12(6) 0 100 40.00
39 0 100(6) 112(94) 0 100 200.00
40 0 28(50) 27(50) 0 100 75.53
41 0 30(6) 42(94) 0 100 80.00
42 0 103(50) 115(50) 0 100 200.00
43 0 44(44) 32(56) 0 100 80.00
44 0 30(50) 29(50) 0 100 75.53
45 0 2(56) 3(44) 0 100 25.18
46 0 95(44) 83(56) 0 100 160.00
47 0 66(50) 78(50) 0 100 140.00
48 0 142(94) 106(6) 0 100 240.00
49 0 4(50) 5(50) 0 100 25.18
50 0 71(94) 59(6) 0 100 120.00
51 0 116(50) 128(50) 0 100 220.00
52 0 90(94) 78(6) 0 100 160.01
53 0 102(50) 126(50) 0 100 220.01
54 0 81(50) 69(50) 0 100 140.01
55 0 86(94) 50(6) 0 100 160.00
56 0 38(94) 0 94 80.00
57 0 120(94) 108(6) 0 100 199.99
58 0 41(50) 53(50) 0 100 100.00
59 0 10(18) 33(56) 0 74 61.92
60 0 18(94) 6(6) 0 100 40.00
61 0 36(56) 13(44) 0 100 66.15
62 0 7(50) 6(50) 0 100 25.18
63 0 1(56) 3(12) 0 68 30.00
64 0 39(94) 27(6) 0 100 80.00
65 0 110(44) 98(56) 0 100 200.00
66 0 29(6) 113(94) 0 100 200.00
(cont.)
304
Table A.87 continued.
No. Route Load Distance
67 0 68(44) 56(56) 0 100 119.99
68 0 123(6) 135(94) 0 100 239.99
69 0 63(94) 51(6) 0 100 120.00
70 0 45(94) 8(6) 0 100 81.73
71 0 126(6) 138(94) 0 100 240.00
72 0 9(56) 8(44) 0 100 25.18
73 0 128(6) 140(94) 0 100 240.00
74 0 48(94) 0 94 80.01
75 0 81(6) 93(94) 0 100 160.01
76 0 15(94) 0 94 40.00
77 0 8(6) 20(94) 0 100 40.00
78 0 5(6) 17(94) 0 100 40.00
79 0 104(56) 116(44) 0 100 200.00
80 0 43(94) 31(6) 0 100 80.00
81 0 106(50) 118(50) 0 100 200.00
82 0 60(6) 144(94) 0 100 240.00
83 0 54(56) 66(44) 0 100 120.00
84 0 125(6) 137(94) 0 100 240.00
85 0 99(50) 123(50) 0 100 220.00
86 0 119(44) 107(56) 0 100 200.00
87 0 89(50) 125(50) 0 100 220.00
88 0 53(6) 65(94) 0 100 120.00
89 0 139(94) 103(6) 0 100 240.00
90 0 75(50) 51(50) 0 100 140.00
91 0 35(50) 22(50) 0 100 66.15
92 0 109(44) 121(56) 0 100 220.00
93 0 110(50) 122(50) 0 100 220.00
94 0 100(50) 124(50) 0 100 220.00
95 0 7(6) 19(94) 0 100 40.00
96 0 115(44) 127(56) 0 100 220.00
97 0 117(50) 129(50) 0 100 220.01
98 0 118(44) 130(56) 0 100 220.00
99 0 108(50) 96(50) 0 100 179.99
(cont.)
305
Table A.87 continued.
No. Route Load Distance
100 0 97(50) 109(50) 0 100 200.00
101 0 122(6) 134(94) 0 100 239.99
102 0 82(6) 94(94) 0 100 160.00
103 0 46(94) 0 94 80.00
104 0 92(94) 80(6) 0 100 160.00
105 0 28(6) 40(94) 0 100 80.00
106 0 129(6) 141(94) 0 100 240.00
107 0 22(44) 34(56) 0 100 60.00
108 0 131(6) 143(94) 0 100 239.99
109 0 50(6) 62(94) 0 100 120.00
Total Distance 15180.73
306
Table A.88: EMIP-MDA+ERTR solution to MDA16 with p = .1.
No. Route Load Distance
1 0 71(44) 72(56) 0 100 20.88
2 0 2(42) 1(56) 0 98 20.87
3 0 4(26) 5(50) 6(24) 0 100 21.75
4 0 82(94) 0 94 39.99
5 0 11(12) 12(56) 13(32) 0 100 21.75
6 0 120(94) 0 94 39.99
7 0 8(12) 7(56) 6(32) 0 100 21.74
8 0 10(56) 11(44) 0 100 20.87
9 0 15(26) 14(50) 13(24) 0 100 21.75
10 0 73(94) 0 94 40.00
11 0 17(14) 16(56) 15(30) 0 100 21.75
12 0 20(44) 19(56) 0 100 20.87
13 0 17(42) 18(56) 0 98 20.88
14 0 123(94) 0 94 39.99
15 0 31(44) 32(56) 0 100 20.87
16 0 52(12) 51(56) 49(32) 0 100 22.62
17 0 38(30) 39(56) 40(12) 0 98 21.75
18 0 24(20) 23(56) 22(24) 0 100 21.75
19 0 107(94) 0 94 40.01
20 0 53(56) 52(44) 0 100 20.87
21 0 62(44) 63(56) 0 100 20.87
22 0 29(24) 28(12) 27(56) 0 92 21.74
23 0 46(12) 47(56) 48(32) 0 100 21.74
24 0 5(6) 77(94) 0 100 39.99
25 0 36(24) 37(50) 38(26) 0 100 21.74
26 0 69(32) 70(56) 71(12) 0 100 21.75
27 0 131(94) 0 94 39.99
28 0 62(12) 61(56) 60(32) 0 100 21.73
29 0 134(94) 0 94 39.99
30 0 75(94) 0 94 40.01
31 0 116(94) 0 94 39.99
32 0 142(94) 0 94 40.00
33 0 124(94) 0 94 40.00
(cont.)
307
Table A.88 continued.
No. Route Load Distance
34 0 65(12) 66(56) 67(30) 0 98 21.75
35 0 135(94) 0 94 39.99
36 0 122(94) 0 94 40.00
37 0 55(44) 56(56) 0 100 20.87
38 0 130(94) 0 94 40.00
39 0 113(94) 0 94 39.99
40 0 86(94) 14(6) 0 100 40.00
41 0 115(94) 0 94 40.00
42 0 112(94) 0 94 40.00
43 0 80(94) 0 94 39.99
44 0 34(44) 33(56) 0 100 20.87
45 0 58(44) 57(56) 0 100 20.87
46 0 4(30) 3(56) 2(14) 0 100 21.75
47 0 37(6) 109(94) 0 100 40.00
48 0 111(94) 0 94 40.01
49 0 144(94) 0 94 39.99
50 0 40(44) 41(56) 0 100 20.87
51 0 76(94) 0 94 40.00
52 0 138(94) 0 94 39.99
53 0 129(94) 0 94 40.01
54 0 125(94) 0 94 40.01
55 0 8(44) 9(56) 0 100 20.87
56 0 67(6) 139(94) 0 100 40.00
57 0 83(94) 0 94 40.00
58 0 84(94) 0 94 39.99
59 0 85(94) 0 94 40.00
60 0 81(94) 0 94 40.00
61 0 88(94) 0 94 40.00
62 0 89(94) 0 94 40.01
63 0 90(94) 0 94 39.99
64 0 91(94) 0 94 40.00
65 0 92(94) 0 94 39.99
66 0 93(94) 0 94 40.01
(cont.)
308
Table A.88 continued.
No. Route Load Distance
67 0 94(94) 0 94 40.00
68 0 95(94) 0 94 39.99
69 0 96(94) 0 94 40.00
70 0 97(94) 0 94 40.00
71 0 98(94) 0 94 39.99
72 0 99(94) 0 94 39.99
73 0 100(94) 0 94 39.99
74 0 101(94) 0 94 40.00
75 0 102(94) 0 94 39.99
76 0 103(94) 0 94 40.00
77 0 104(94) 0 94 40.00
78 0 36(32) 35(56) 34(12) 0 100 21.75
79 0 31(12) 30(56) 29(32) 0 100 21.75
80 0 24(36) 25(56) 0 92 20.87
81 0 78(94) 0 94 40.00
82 0 133(94) 0 94 40.00
83 0 79(94) 0 94 40.00
84 0 60(24) 59(56) 58(12) 0 92 21.73
85 0 141(94) 0 94 39.99
86 0 69(24) 68(56) 67(20) 0 100 21.75
87 0 127(94) 0 94 40.00
88 0 128(94) 0 94 39.99
89 0 49(6) 121(94) 0 100 40.00
90 0 119(94) 0 94 40.00
91 0 108(94) 0 94 39.99
92 0 20(12) 21(56) 22(32) 0 100 21.75
93 0 46(44) 45(56) 0 100 20.87
94 0 43(44) 42(56) 0 100 20.87
95 0 105(94) 0 94 39.99
96 0 110(94) 0 94 39.99
97 0 28(44) 26(56) 0 100 21.74
98 0 132(94) 0 94 40.00
99 0 114(94) 0 94 40.00
(cont.)
309
Table A.88 continued.
No. Route Load Distance
100 0 43(12) 44(56) 0 68 20.86
101 0 55(12) 54(56) 0 68 20.87
102 0 140(94) 0 94 40.00
103 0 136(94) 0 94 39.99
104 0 118(94) 0 94 39.99
105 0 117(94) 0 94 39.99
106 0 48(24) 49(18) 50(56) 0 98 21.74
107 0 106(94) 0 94 40.00
108 0 65(44) 64(56) 0 100 20.87
109 0 87(94) 0 94 39.99
110 0 74(94) 0 94 39.99
111 0 126(94) 0 94 39.99
112 0 137(94) 0 94 40.00
113 0 143(94) 0 94 40.01
Total Distance 3755.70
310
Table A.89: EMIP-MDA+ERTR solution to MDA17 with p = .1.
No. Route Load Distance
1 0 107(44) 99(56) 0 100 280.00
2 0 12(44) 4(56) 0 100 39.99
3 0 14(94) 0 94 39.99
4 0 25(94) 17(6) 0 100 80.00
5 0 24(6) 32(94) 0 100 80.00
6 0 50(6) 58(94) 0 100 160.00
7 0 114(6) 122(94) 0 100 319.99
8 0 33(6) 41(94) 0 100 120.00
9 0 9(44) 18(56) 0 100 71.24
10 0 49(6) 57(94) 0 100 160.00
11 0 1(50) 8(50) 0 100 27.65
12 0 26(94) 1(6) 0 100 83.67
13 0 72(50) 80(50) 0 100 200.00
14 0 47(50) 39(50) 0 100 120.00
15 0 82(6) 90(94) 0 100 239.99
16 0 43(94) 35(6) 0 100 120.00
17 0 7(56) 6(16) 0 72 27.65
18 0 53(6) 61(94) 0 100 160.00
19 0 6(40) 21(56) 0 96 63.99
20 0 104(6) 128(94) 0 100 320.01
21 0 17(50) 9(50) 0 100 60.00
22 0 66(50) 82(50) 0 100 220.00
23 0 27(84) 35(6) 27(10) 0 100 100.00
24 0 15(50) 5(50) 0 100 52.36
25 0 46(50) 54(50) 0 100 139.99
26 0 91(94) 0 94 240.00
27 0 66(6) 74(94) 0 100 200.00
28 0 38(56) 46(44) 0 100 120.00
29 0 11(22) 19(56) 0 78 60.00
30 0 49(50) 33(50) 0 100 140.00
31 0 23(50) 24(50) 0 100 82.96
32 0 59(44) 67(56) 0 100 180.00
33 0 20(56) 28(44) 0 100 80.00
(cont.)
311
Table A.89 continued.
No. Route Load Distance
34 0 13(94) 0 94 40.00
35 0 56(56) 48(44) 0 100 140.01
36 0 47(44) 55(56) 0 100 140.00
37 0 75(44) 83(56) 0 100 220.00
38 0 30(94) 0 94 80.00
39 0 77(50) 93(50) 0 100 240.00
40 0 63(94) 39(6) 0 100 160.00
41 0 44(56) 36(44) 0 100 120.00
42 0 36(6) 44(38) 52(56) 0 100 139.99
43 0 78(56) 70(44) 0 100 200.00
44 0 120(56) 88(44) 0 100 300.00
45 0 42(44) 34(56) 0 100 120.01
46 0 147(6) 155(94) 0 100 400.00
47 0 48(50) 40(50) 0 100 120.00
48 0 40(6) 64(94) 0 100 160.00
49 0 104(50) 88(6) 80(44) 0 100 260.00
50 0 76(44) 68(56) 0 100 200.01
51 0 69(56) 77(44) 0 100 200.00
52 0 70(12) 86(50) 78(38) 0 100 220.00
53 0 79(44) 71(56) 0 100 200.00
54 0 87(6) 95(94) 0 100 240.00
55 0 65(56) 73(44) 0 100 200.00
56 0 146(6) 154(94) 0 100 400.00
57 0 59(50) 75(50) 0 100 200.00
58 0 84(50) 76(50) 0 100 220.01
59 0 45(50) 53(50) 0 100 140.00
60 0 45(44) 37(56) 0 100 120.00
61 0 97(50) 105(50) 0 100 280.00
62 0 42(50) 50(50) 0 100 140.01
63 0 10(94) 0 94 39.99
64 0 92(94) 84(6) 0 100 240.01
65 0 85(56) 93(44) 0 100 240.00
66 0 79(50) 87(50) 0 100 220.00
(cont.)
312
Table A.89 continued.
No. Route Load Distance
67 0 81(6) 89(94) 0 100 240.00
68 0 22(56) 15(44) 0 100 71.26
69 0 2(56) 3(28) 0 84 27.65
70 0 110(60) 102(40) 0 100 280.00
71 0 23(6) 31(94) 0 100 80.00
72 0 144(44) 136(56) 0 100 360.00
73 0 81(50) 73(50) 0 100 220.00
74 0 106(44) 98(56) 0 100 280.00
75 0 8(6) 16(94) 0 100 39.99
76 0 116(50) 108(50) 0 100 300.00
77 0 101(56) 109(44) 0 100 280.00
78 0 94(94) 86(6) 0 100 239.99
79 0 119(44) 103(56) 0 100 300.00
80 0 119(6) 111(94) 0 100 300.00
81 0 138(50) 146(50) 0 100 380.00
82 0 36(6) 60(94) 0 100 159.99
83 0 100(56) 108(44) 0 100 280.00
84 0 102(16) 118(50) 110(34) 0 100 300.00
85 0 35(44) 51(56) 0 100 140.00
86 0 72(6) 96(94) 0 100 240.01
87 0 105(44) 113(56) 0 100 300.00
88 0 54(6) 62(94) 0 100 160.00
89 0 147(50) 131(50) 0 100 380.00
90 0 156(94) 132(6) 0 100 400.00
91 0 109(50) 117(50) 0 100 300.00
92 0 127(94) 119(6) 0 100 320.00
93 0 115(6) 123(94) 0 100 320.00
94 0 121(94) 97(6) 0 100 320.00
95 0 12(50) 28(50) 0 100 80.00
96 0 148(56) 140(44) 0 100 380.00
97 0 117(6) 125(94) 0 100 320.00
98 0 150(6) 158(94) 0 100 400.00
99 0 11(72) 3(28) 0 100 40.00
(cont.)
313
Table A.89 continued.
No. Route Load Distance
100 0 137(44) 129(56) 0 100 360.00
101 0 5(6) 29(94) 0 100 80.00
102 0 107(50) 115(50) 0 100 300.00
103 0 140(50) 132(50) 0 100 360.00
104 0 141(44) 133(56) 0 100 360.00
105 0 150(50) 134(50) 0 100 380.00
106 0 88(6) 112(94) 0 100 280.00
107 0 145(50) 137(50) 0 100 380.00
108 0 130(56) 138(44) 0 100 360.00
109 0 149(50) 141(50) 0 100 380.00
110 0 134(6) 142(94) 0 100 359.99
111 0 151(50) 159(50) 0 100 400.00
112 0 152(50) 144(50) 0 100 380.00
113 0 153(94) 145(6) 0 100 400.00
114 0 114(50) 106(50) 0 100 300.00
115 0 139(94) 131(6) 0 100 360.00
116 0 124(94) 116(6) 0 100 319.99
117 0 126(94) 118(6) 0 100 319.99
118 0 143(94) 151(6) 0 100 380.00
119 0 160(94) 152(6) 0 100 400.00
120 0 149(6) 157(94) 0 100 400.00
121 0 135(56) 159(44) 0 100 400.00
Total Distance 26628.38
314
Table A.90: EMIP-MDA+ERTR solution to MDA18 with p = .1.
No. Route Load Distance
1 0 102(34) 134(50) 118(16) 0 100 180.00
2 0 8(6) 24(94) 0 100 40.01
3 0 20(94) 0 94 40.00
4 0 138(6) 154(94) 0 100 200.00
5 0 143(50) 127(50) 0 100 180.00
6 0 106(6) 122(94) 0 100 160.00
7 0 26(94) 0 94 40.00
8 0 148(50) 83(50) 0 100 210.14
9 0 15(44) 14(56) 0 100 23.90
10 0 33(6) 49(94) 0 100 80.00
11 0 145(50) 146(50) 0 100 239.02
12 0 59(94) 0 94 80.00
13 0 141(50) 125(50) 0 100 180.00
14 0 98(6) 114(94) 0 100 160.00
15 0 9(50) 8(50) 0 100 23.91
16 0 142(6) 158(94) 0 100 199.99
17 0 83(44) 67(56) 0 100 120.01
18 0 43(56) 15(12) 16(12) 0 80 75.53
19 0 1(6) 17(94) 0 100 40.00
20 0 86(94) 70(6) 0 100 119.99
21 0 140(50) 108(50) 0 100 179.99
22 0 123(44) 107(56) 0 100 160.00
23 0 104(6) 120(94) 0 100 160.00
24 0 131(50) 99(50) 0 100 180.00
25 0 138(50) 106(50) 0 100 179.99
26 0 78(50) 77(50) 0 100 119.52
27 0 5(32) 4(56) 3(12) 0 100 27.80
28 0 30(94) 0 94 40.00
29 0 41(44) 40(56) 0 100 71.71
30 0 90(94) 0 94 120.01
31 0 100(56) 84(44) 0 100 140.00
32 0 9(6) 25(94) 0 100 40.00
33 0 45(6) 61(94) 0 100 80.00
(cont.)
315
Table A.90 continued.
No. Route Load Distance
34 0 103(6) 119(94) 0 100 159.99
35 0 27(94) 0 94 39.99
36 0 75(50) 76(50) 0 100 119.51
37 0 118(78) 102(22) 0 100 160.00
38 0 66(6) 82(94) 0 100 119.99
39 0 45(50) 60(50) 0 100 86.81
40 0 74(56) 58(44) 0 100 100.01
41 0 78(6) 94(94) 0 100 120.00
42 0 34(50) 35(50) 0 100 71.71
43 0 117(44) 101(56) 0 100 160.00
44 0 75(6) 91(94) 0 100 120.00
45 0 12(6) 28(94) 0 100 40.01
46 0 64(94) 0 94 79.99
47 0 32(44) 48(56) 0 100 60.00
48 0 141(6) 157(94) 0 100 200.00
49 0 38(6) 54(94) 0 100 80.01
50 0 65(56) 81(44) 0 100 120.00
51 0 72(6) 88(94) 0 100 120.00
52 0 7(56) 0 56 20.00
53 0 84(50) 68(50) 0 100 119.99
54 0 2(56) 3(44) 0 100 23.90
55 0 98(50) 66(50) 0 100 140.00
56 0 97(6) 113(94) 0 100 160.00
57 0 36(56) 21(44) 0 100 63.84
58 0 39(50) 38(50) 0 100 71.71
59 0 32(50) 33(50) 0 100 63.84
60 0 121(50) 105(50) 0 100 160.00
61 0 77(6) 93(94) 0 100 120.00
62 0 110(56) 126(44) 0 100 159.99
63 0 144(6) 160(94) 0 100 199.99
64 0 121(44) 137(56) 0 100 180.00
65 0 135(6) 151(94) 0 100 200.01
66 0 72(50) 87(50) 0 100 133.59
(cont.)
316
Table A.90 continued.
No. Route Load Distance
67 0 19(94) 0 94 39.99
68 0 37(50) 21(50) 0 100 60.00
69 0 139(6) 155(94) 0 100 200.00
70 0 71(56) 87(44) 0 100 120.00
71 0 140(6) 156(94) 0 100 199.99
72 0 47(6) 63(94) 0 100 80.00
73 0 57(94) 0 94 80.00
74 0 76(6) 92(94) 0 100 120.00
75 0 68(6) 116(94) 0 100 160.00
76 0 10(44) 11(56) 0 100 23.90
77 0 47(50) 46(50) 0 100 71.71
78 0 5(24) 6(56) 0 80 23.91
79 0 134(6) 150(94) 0 100 200.00
80 0 131(6) 147(94) 0 100 200.00
81 0 152(50) 104(50) 0 100 199.99
82 0 89(94) 0 94 120.00
83 0 34(6) 50(94) 0 100 80.01
84 0 56(94) 0 94 79.99
85 0 112(56) 128(44) 0 100 160.01
86 0 13(6) 29(94) 0 100 40.00
87 0 148(44) 132(56) 0 100 200.01
88 0 135(50) 103(50) 0 100 180.00
89 0 18(94) 0 94 40.00
90 0 52(94) 0 94 79.99
91 0 69(6) 85(94) 0 100 120.00
92 0 79(6) 95(94) 0 100 120.00
93 0 123(50) 139(50) 0 100 180.00
94 0 12(50) 13(50) 0 100 23.91
95 0 99(6) 115(94) 0 100 160.00
96 0 145(44) 129(56) 0 100 200.00
97 0 97(50) 81(50) 0 100 140.00
98 0 105(6) 153(94) 0 100 200.00
99 0 96(94) 80(6) 0 100 120.00
(cont.)
317
Table A.90 continued.
No. Route Load Distance
100 0 142(50) 126(50) 0 100 179.99
101 0 80(50) 79(50) 0 100 119.51
102 0 108(6) 124(94) 0 100 160.00
103 0 70(50) 69(50) 0 100 119.51
104 0 46(6) 62(94) 0 100 80.00
105 0 37(6) 53(94) 0 100 80.00
106 0 16(44) 1(50) 0 94 23.91
107 0 127(44) 111(56) 0 100 160.00
108 0 10(12) 42(6) 73(56) 41(12) 0 86 105.07
109 0 22(94) 0 94 40.00
110 0 42(50) 58(50) 0 100 80.00
111 0 23(94) 0 94 39.99
112 0 144(50) 128(50) 0 100 180.00
113 0 143(6) 159(94) 0 100 200.00
114 0 35(6) 51(94) 0 100 79.99
115 0 133(50) 117(50) 0 100 180.00
116 0 31(94) 0 94 39.99
117 0 136(56) 152(44) 0 100 199.99
118 0 60(44) 44(56) 0 100 79.99
119 0 125(44) 109(56) 0 100 160.00
120 0 39(6) 55(94) 0 100 80.00
121 0 146(44) 130(56) 0 100 200.01
122 0 133(6) 149(94) 0 100 200.00
Total Distance 14477.78
318
Table A.91: EMIP-MDA+ERTR solution to MDA19 with p = .1.
No. Route Load Distance
1 0 184(94) 136(6) 0 100 240.00
2 0 79(50) 111(50) 0 100 140.01
3 0 130(6) 178(94) 0 100 240.01
4 0 101(50) 69(50) 0 100 140.00
5 0 177(94) 129(6) 0 100 240.00
6 0 1(50) 2(50) 0 100 23.91
7 0 76(38) 172(56) 0 94 220.00
8 0 41(6) 57(94) 0 100 80.00
9 0 165(50) 133(50) 0 100 220.00
10 0 109(56) 125(44) 0 100 160.00
11 0 171(50) 155(50) 0 100 220.00
12 0 176(50) 128(50) 0 100 220.00
13 0 61(94) 0 94 80.00
14 0 137(6) 153(94) 0 100 200.00
15 0 4(56) 0 56 20.00
16 0 151(94) 103(6) 0 100 200.01
17 0 56(94) 40(6) 0 100 79.99
18 0 94(44) 78(56) 0 100 120.00
19 0 89(44) 73(56) 0 100 120.00
20 0 106(6) 122(94) 0 100 160.00
21 0 152(94) 136(6) 0 100 199.99
22 0 59(94) 0 94 80.00
23 0 8(56) 10(36) 0 92 27.66
24 0 13(30) 14(56) 0 86 23.91
25 0 72(12) 88(38) 104(50) 0 100 140.00
26 0 102(56) 118(44) 0 100 160.00
27 0 94(50) 110(50) 0 100 140.01
28 0 70(56) 54(44) 0 100 100.01
29 0 142(44) 174(56) 0 100 219.99
30 0 110(6) 126(94) 0 100 159.99
31 0 95(94) 79(6) 0 100 120.00
32 0 43(38) 42(56) 0 94 71.71
33 0 123(94) 0 94 160.00
(cont.)
319
Table A.91 continued.
No. Route Load Distance
34 0 26(94) 0 94 40.00
35 0 32(94) 16(6) 0 100 40.01
36 0 100(50) 68(50) 0 100 140.00
37 0 83(94) 0 94 120.01
38 0 180(94) 164(6) 0 100 240.00
39 0 173(50) 140(50) 0 100 243.66
40 0 124(94) 0 94 160.00
41 0 85(94) 69(6) 0 100 120.00
42 0 139(56) 155(44) 0 100 200.00
43 0 53(94) 36(6) 0 100 86.81
44 0 23(50) 39(50) 0 100 59.99
45 0 132(56) 116(44) 0 100 180.00
46 0 77(56) 45(12) 13(26) 0 94 100.00
47 0 136(44) 168(56) 0 100 219.99
48 0 147(44) 163(56) 0 100 220.00
49 0 154(44) 138(56) 0 100 200.00
50 0 29(94) 0 94 40.00
51 0 142(6) 190(94) 0 100 240.00
52 0 142(6) 158(94) 0 100 199.99
53 0 64(94) 48(6) 0 100 79.99
54 0 154(50) 170(50) 0 100 219.99
55 0 134(56) 150(44) 0 100 200.00
56 0 141(50) 125(50) 0 100 180.00
57 0 170(6) 186(94) 0 100 240.00
58 0 179(94) 131(6) 0 100 239.99
59 0 147(50) 131(50) 0 100 200.00
60 0 50(94) 2(6) 0 100 80.01
61 0 20(94) 0 94 40.00
62 0 146(94) 130(6) 0 100 200.01
63 0 72(44) 88(56) 0 100 120.00
64 0 92(94) 0 94 120.00
65 0 93(94) 0 94 120.00
66 0 49(94) 0 94 80.00
(cont.)
320
Table A.91 continued.
No. Route Load Distance
67 0 35(50) 34(50) 0 100 71.71
68 0 62(44) 46(56) 0 100 80.00
69 0 34(6) 66(56) 65(34) 0 96 119.50
70 0 11(6) 107(24) 91(68) 0 98 139.99
71 0 60(94) 0 94 79.99
72 0 19(94) 3(6) 0 100 39.99
73 0 183(94) 167(6) 0 100 240.01
74 0 156(94) 140(6) 0 100 199.99
75 0 35(6) 51(94) 0 100 79.99
76 0 81(84) 0 84 120.00
77 0 27(94) 11(6) 0 100 39.99
78 0 103(6) 119(94) 0 100 159.99
79 0 105(6) 121(94) 0 100 160.00
80 0 30(94) 0 94 40.00
81 0 28(94) 0 94 40.01
82 0 58(94) 0 94 80.00
83 0 98(6) 114(94) 0 100 160.00
84 0 5(50) 3(50) 0 100 27.65
85 0 25(94) 0 94 40.00
86 0 96(50) 112(50) 0 100 140.01
87 0 15(50) 16(50) 0 100 23.90
88 0 63(94) 47(6) 0 100 80.00
89 0 101(6) 117(94) 0 100 160.00
90 0 17(94) 1(6) 0 100 40.00
91 0 47(50) 62(50) 0 100 86.82
92 0 144(56) 128(44) 0 100 180.00
93 0 176(6) 192(94) 0 100 240.00
94 0 100(6) 148(94) 0 100 200.01
95 0 145(94) 129(6) 0 100 200.00
96 0 40(50) 41(50) 0 100 71.71
97 0 159(50) 143(50) 0 100 200.00
98 0 22(94) 0 94 40.00
99 0 188(94) 108(6) 0 100 240.00
(cont.)
321
Table A.91 continued.
No. Route Load Distance
100 0 38(6) 86(94) 0 100 119.99
101 0 191(94) 143(6) 0 100 240.01
102 0 38(50) 54(50) 0 100 80.01
103 0 135(56) 103(44) 0 100 180.00
104 0 90(50) 106(50) 0 100 139.99
105 0 82(94) 98(6) 0 100 140.00
106 0 105(50) 89(50) 0 100 140.00
107 0 21(94) 5(6) 0 100 40.00
108 0 175(56) 159(44) 0 100 220.00
109 0 67(56) 36(44) 0 100 105.07
110 0 137(44) 169(56) 0 100 220.00
111 0 39(6) 87(94) 0 100 120.00
112 0 150(50) 166(50) 0 100 220.00
113 0 141(6) 157(94) 0 100 200.00
114 0 98(44) 99(56) 0 100 167.31
115 0 81(10) 97(56) 65(22) 0 88 140.00
116 0 90(44) 74(56) 0 100 120.01
117 0 160(94) 112(6) 0 100 199.99
118 0 6(28) 7(56) 0 84 23.90
119 0 36(6) 52(94) 0 100 79.99
120 0 161(56) 129(44) 0 100 220.00
121 0 12(56) 11(44) 0 100 23.90
122 0 48(50) 33(50) 0 100 71.71
123 0 130(44) 162(56) 0 100 220.00
124 0 18(94) 0 94 40.00
125 0 45(44) 44(56) 0 100 71.70
126 0 167(50) 118(50) 0 100 237.33
127 0 84(94) 68(6) 0 100 119.99
128 0 182(94) 166(6) 0 100 240.01
129 0 133(6) 149(94) 0 100 200.00
130 0 71(56) 23(44) 0 100 100.00
131 0 91(26) 75(56) 43(18) 0 100 120.00
132 0 37(56) 6(28) 0 84 61.11
(cont.)
322
Table A.91 continued.
No. Route Load Distance
133 0 137(6) 185(94) 0 100 240.00
134 0 80(56) 96(44) 0 100 120.00
135 0 15(6) 31(94) 0 100 39.99
136 0 9(56) 10(20) 0 76 23.91
137 0 127(94) 111(6) 0 100 160.00
138 0 55(94) 0 94 80.00
139 0 33(6) 113(94) 0 100 160.00
140 0 187(94) 171(6) 0 100 239.99
141 0 24(94) 0 94 40.01
142 0 165(6) 181(94) 0 100 240.00
143 0 189(94) 173(6) 0 100 240.00
144 0 115(94) 0 94 160.00
145 0 120(94) 104(6) 0 100 160.00
146 0 76(18) 108(50) 107(32) 0 100 167.31
147 0 116(50) 164(50) 0 100 220.01
Total Distance 20432.18
323
Table A.92: EMIP-MDA+ERTR solution to MDA20 with p = .1.
No. Route Load Distance
1 0 7(44) 19(44) 8(12) 0 100 42.39
2 0 38(94) 0 94 80.00
3 0 217(50) 205(50) 0 100 380.00
4 0 131(6) 143(94) 0 100 239.99
5 0 154(56) 190(10) 166(34) 0 100 320.00
6 0 70(44) 58(56) 0 100 120.00
7 0 69(44) 57(56) 0 100 120.01
8 0 110(38) 122(56) 98(6) 0 100 220.00
9 0 12(56) 0 56 20.00
10 0 152(6) 176(50) 164(44) 0 100 300.00
11 0 100(50) 124(50) 0 100 220.00
12 0 226(56) 214(44) 0 100 380.00
13 0 126(50) 114(50) 0 100 220.01
14 0 119(44) 107(56) 0 100 200.00
15 0 140(94) 128(6) 0 100 240.00
16 0 98(6) 134(94) 0 100 239.99
17 0 205(44) 193(56) 0 100 360.00
18 0 60(6) 96(94) 0 100 160.01
19 0 209(50) 173(28) 149(22) 0 100 360.00
20 0 33(6) 45(94) 0 100 80.00
21 0 222(6) 234(94) 0 100 400.00
22 0 64(40) 76(56) 0 96 140.00
23 0 101(40) 77(50) 0 90 180.01
24 0 188(94) 176(6) 0 100 320.00
25 0 124(6) 136(94) 0 100 240.00
26 0 128(50) 104(50) 0 100 220.00
27 0 108(6) 120(94) 0 100 199.99
28 0 44(44) 32(56) 0 100 80.00
29 0 67(44) 55(56) 0 100 120.00
30 0 100(6) 112(94) 0 100 200.00
31 0 113(94) 0 94 200.00
32 0 232(44) 220(56) 0 100 400.00
33 0 231(94) 147(6) 0 100 400.00
(cont.)
324
Table A.92 continued.
No. Route Load Distance
34 0 44(50) 31(50) 0 100 90.53
35 0 161(84) 6(12) 0 96 281.44
36 0 67(50) 79(50) 0 100 140.00
37 0 13(94) 1(6) 0 100 40.00
38 0 203(6) 215(94) 0 100 360.01
39 0 51(6) 87(94) 0 100 160.00
40 0 41(94) 0 94 80.00
41 0 225(6) 237(94) 0 100 399.99
42 0 25(6) 50(56) 39(38) 0 100 123.53
43 0 78(50) 54(50) 0 100 140.00
44 0 119(50) 131(50) 0 100 220.00
45 0 130(56) 142(44) 0 100 240.00
46 0 216(50) 228(50) 0 100 380.00
47 0 81(50) 69(50) 0 100 140.01
48 0 95(94) 0 94 160.00
49 0 149(6) 233(94) 0 100 400.00
50 0 7(12) 197(56) 185(32) 0 100 345.23
51 0 4(56) 0 56 20.00
52 0 88(94) 0 94 160.00
53 0 146(6) 158(94) 0 100 279.99
54 0 80(6) 92(94) 0 100 160.00
55 0 172(50) 160(50) 0 100 300.00
56 0 151(6) 235(94) 0 100 400.00
57 0 24(44) 35(56) 0 100 66.15
58 0 79(6) 91(94) 0 100 160.00
59 0 225(50) 201(50) 0 100 379.99
60 0 62(44) 39(56) 0 100 132.29
61 0 105(56) 117(44) 0 100 200.01
62 0 56(6) 68(94) 0 100 119.99
63 0 137(94) 0 94 240.00
64 0 203(6) 239(94) 0 100 400.00
65 0 169(50) 157(50) 0 100 300.00
66 0 212(44) 224(56) 0 100 380.01
(cont.)
325
Table A.92 continued.
No. Route Load Distance
67 0 22(94) 10(6) 0 100 40.00
68 0 212(50) 200(50) 0 100 359.99
69 0 33(50) 34(50) 0 100 75.53
70 0 85(94) 49(6) 0 100 160.00
71 0 25(44) 26(56) 0 100 75.53
72 0 75(56) 51(44) 0 100 140.00
73 0 74(50) 62(50) 0 100 140.00
74 0 98(44) 110(56) 0 100 200.00
75 0 34(6) 46(94) 0 100 80.00
76 0 3(44) 27(56) 0 100 60.00
77 0 18(94) 0 94 40.00
78 0 72(44) 84(56) 0 100 140.01
79 0 199(34) 187(66) 0 100 340.00
80 0 199(22) 211(50) 187(28) 0 100 360.00
81 0 185(62) 173(28) 161(10) 0 100 320.00
82 0 48(44) 36(56) 0 100 80.01
83 0 195(6) 207(94) 0 100 359.99
84 0 214(50) 202(50) 0 100 360.00
85 0 202(6) 238(94) 0 100 400.00
86 0 2(50) 1(50) 0 100 25.18
87 0 81(6) 93(94) 0 100 160.01
88 0 61(50) 49(50) 0 100 120.00
89 0 155(6) 191(94) 0 100 320.01
90 0 28(6) 40(94) 0 100 80.00
91 0 210(44) 198(56) 0 100 360.00
92 0 48(50) 24(50) 0 100 80.01
93 0 219(56) 183(44) 0 100 380.00
94 0 47(44) 59(56) 0 100 100.01
95 0 20(94) 0 94 40.00
96 0 78(6) 90(94) 0 100 160.01
97 0 195(50) 183(50) 0 100 339.99
98 0 126(6) 138(94) 0 100 240.00
99 0 94(50) 70(50) 0 100 160.00
(cont.)
326
Table A.92 continued.
No. Route Load Distance
100 0 103(40) 115(60) 0 100 200.00
101 0 77(6) 89(94) 0 100 160.00
102 0 160(44) 148(56) 0 100 280.00
103 0 31(6) 43(94) 0 100 80.00
104 0 104(6) 116(94) 0 100 200.00
105 0 117(50) 129(50) 0 100 220.01
106 0 209(44) 221(56) 0 100 380.00
107 0 21(94) 0 94 40.00
108 0 194(56) 218(44) 0 100 380.01
109 0 54(6) 66(94) 0 100 120.00
110 0 115(34) 139(10) 127(56) 0 100 240.00
111 0 25(6) 37(94) 0 100 80.00
112 0 177(6) 189(94) 0 100 320.00
113 0 132(6) 168(94) 0 100 280.00
114 0 218(6) 230(94) 0 100 400.01
115 0 111(34) 123(56) 111(10) 0 100 220.00
116 0 30(50) 19(50) 0 100 66.15
117 0 146(6) 182(94) 0 100 320.01
118 0 114(44) 102(56) 0 100 200.01
119 0 42(94) 30(6) 0 100 80.00
120 0 141(44) 153(56) 0 100 260.00
121 0 8(44) 9(56) 0 100 25.18
122 0 132(50) 108(50) 0 100 220.00
123 0 156(56) 144(44) 0 100 260.00
124 0 121(50) 109(50) 0 100 220.00
125 0 72(50) 60(50) 0 100 120.01
126 0 29(6) 65(94) 0 100 120.00
127 0 232(50) 208(50) 0 100 400.00
128 0 10(50) 11(50) 0 100 25.18
129 0 172(6) 184(94) 0 100 320.00
130 0 139(50) 151(50) 0 100 260.00
131 0 17(94) 0 94 40.00
132 0 109(44) 97(56) 0 100 200.00
(cont.)
327
Table A.92 continued.
No. Route Load Distance
133 0 178(40) 166(60) 0 100 300.00
134 0 147(50) 135(50) 0 100 259.99
135 0 155(6) 167(94) 0 100 279.99
136 0 6(44) 5(56) 0 100 25.18
137 0 74(6) 86(94) 0 100 160.00
138 0 106(56) 118(44) 0 100 200.00
139 0 162(44) 150(56) 0 100 280.00
140 0 103(16) 163(28) 175(56) 0 100 300.00
141 0 99(6) 159(94) 0 100 279.99
142 0 52(20) 64(54) 3(12) 0 86 121.58
143 0 190(84) 178(16) 0 100 320.00
144 0 94(44) 82(56) 0 100 160.00
145 0 180(56) 192(44) 0 100 320.00
146 0 169(6) 181(94) 0 100 320.00
147 0 135(44) 171(56) 0 100 299.99
148 0 174(56) 186(44) 0 100 320.00
149 0 80(50) 56(50) 0 100 140.00
150 0 155(44) 179(56) 0 100 300.01
151 0 133(94) 121(6) 0 100 240.00
152 0 218(6) 206(94) 0 100 380.01
153 0 196(56) 208(44) 0 100 360.00
154 0 14(94) 2(6) 0 100 40.00
155 0 200(6) 236(94) 0 100 400.01
156 0 99(50) 111(50) 0 100 200.00
157 0 16(94) 0 94 40.00
158 0 146(44) 170(56) 0 100 299.99
159 0 157(44) 145(56) 0 100 280.00
160 0 61(44) 73(56) 0 100 140.00
161 0 47(50) 71(50) 0 100 120.00
162 0 210(50) 222(50) 0 100 380.00
163 0 163(66) 139(34) 0 100 280.00
164 0 213(94) 201(6) 0 100 359.99
165 0 142(50) 118(50) 0 100 240.00
(cont.)
328
Table A.92 continued.
No. Route Load Distance
166 0 204(56) 216(44) 0 100 360.00
167 0 71(44) 83(56) 0 100 140.00
168 0 129(6) 165(94) 0 100 279.99
169 0 51(6) 63(94) 0 100 120.00
170 0 186(50) 162(50) 0 100 320.00
171 0 211(44) 223(56) 0 100 380.00
172 0 164(50) 152(50) 0 100 280.00
173 0 177(50) 141(50) 0 100 300.00
174 0 29(50) 28(50) 0 100 75.53
175 0 203(44) 227(56) 0 100 380.00
176 0 192(50) 144(50) 0 100 320.00
177 0 217(6) 229(94) 0 100 400.00
178 0 11(6) 23(94) 0 100 40.00
179 0 52(36) 53(56) 0 92 125.88
180 0 15(94) 0 94 40.00
181 0 101(16) 149(28) 125(56) 0 100 260.00
182 0 240(94) 228(6) 0 100 400.00
Total Distance 40202.48
329
Table A.93: EMIP-MDA+ERTR solution to MDA21 with p = .1.
No. Route Load Distance
1 0 12(56) 11(38) 0 94 20.87
2 0 114(94) 0 94 40.00
3 0 70(56) 69(44) 0 100 20.87
4 0 112(10) 184(56) 183(34) 0 100 62.61
5 0 74(94) 0 94 39.99
6 0 85(94) 0 94 40.00
7 0 262(94) 190(6) 0 100 80.00
8 0 73(94) 0 94 40.00
9 0 29(50) 28(46) 0 96 20.87
10 0 222(94) 0 94 79.99
11 0 23(6) 95(94) 0 100 39.99
12 0 229(50) 230(50) 0 100 83.48
13 0 173(50) 174(50) 0 100 62.62
14 0 6(12) 151(56) 150(12) 5(12) 0 92 62.73
15 0 125(94) 0 94 40.01
16 0 177(6) 249(94) 0 100 80.00
17 0 263(94) 191(6) 0 100 80.01
18 0 68(6) 140(94) 0 100 40.00
19 0 22(56) 20(38) 0 94 21.75
20 0 87(94) 0 94 39.99
21 0 119(94) 0 94 40.00
22 0 32(56) 33(12) 34(12) 0 80 21.75
23 0 37(56) 38(12) 40(32) 0 100 22.62
24 0 155(56) 154(32) 0 88 62.61
25 0 127(94) 0 94 40.00
26 0 39(56) 38(44) 0 100 20.88
27 0 257(50) 258(50) 0 100 83.49
28 0 102(94) 0 94 39.99
29 0 116(94) 44(6) 0 100 39.99
30 0 44(50) 46(50) 0 100 21.74
31 0 166(50) 165(50) 0 100 62.61
32 0 106(94) 0 94 40.00
33 0 26(12) 27(56) 28(10) 31(22) 0 100 24.35
(cont.)
330
Table A.93 continued.
No. Route Load Distance
34 0 82(94) 0 94 39.99
35 0 16(56) 18(12) 19(32) 0 100 22.62
36 0 54(48) 53(50) 0 98 20.88
37 0 15(56) 14(44) 0 100 20.88
38 0 212(6) 284(94) 0 100 80.00
39 0 105(94) 0 94 39.99
40 0 161(50) 162(50) 0 100 62.61
41 0 72(56) 0 56 20.00
42 0 219(94) 147(6) 0 100 80.00
43 0 226(94) 0 94 79.99
44 0 264(94) 192(6) 0 100 80.00
45 0 218(94) 146(6) 0 100 80.01
46 0 132(94) 0 94 40.00
47 0 156(56) 154(24) 0 80 65.22
48 0 287(94) 215(6) 0 100 80.00
49 0 126(94) 0 94 39.99
50 0 121(94) 0 94 40.00
51 0 104(94) 0 94 40.00
52 0 17(56) 18(44) 0 100 20.88
53 0 83(94) 0 94 40.00
54 0 63(44) 64(56) 0 100 20.87
55 0 193(50) 195(50) 0 100 65.23
56 0 214(50) 213(50) 0 100 62.63
57 0 267(56) 266(44) 0 100 83.49
58 0 113(94) 0 94 39.99
59 0 135(94) 0 94 39.99
60 0 115(94) 0 94 40.00
61 0 145(6) 217(94) 0 100 80.00
62 0 24(56) 23(44) 0 100 20.88
63 0 130(94) 0 94 40.00
64 0 123(94) 0 94 39.99
65 0 89(94) 0 94 40.01
66 0 216(50) 215(50) 0 100 62.61
(cont.)
331
Table A.93 continued.
No. Route Load Distance
67 0 285(94) 213(6) 0 100 80.01
68 0 166(6) 238(94) 0 100 80.00
69 0 148(6) 220(94) 0 100 80.00
70 0 199(6) 271(94) 0 100 80.00
71 0 159(6) 231(94) 0 100 80.00
72 0 33(44) 36(56) 0 100 22.61
73 0 11(18) 10(56) 9(12) 0 86 21.74
74 0 138(94) 0 94 39.99
75 0 269(94) 197(6) 0 100 80.00
76 0 4(56) 5(44) 0 100 20.87
77 0 158(56) 230(44) 0 100 80.00
78 0 100(94) 0 94 39.99
79 0 98(94) 0 94 39.99
80 0 69(12) 141(38) 143(50) 0 100 43.48
81 0 191(50) 192(50) 0 100 62.62
82 0 169(6) 241(94) 0 100 80.00
83 0 136(94) 0 94 39.99
84 0 234(94) 162(6) 0 100 80.01
85 0 47(38) 46(6) 45(56) 0 100 21.74
86 0 49(26) 48(56) 47(18) 0 100 21.75
87 0 58(32) 60(12) 62(56) 0 100 23.48
88 0 201(50) 202(50) 0 100 62.61
89 0 232(94) 160(6) 0 100 80.00
90 0 153(56) 152(44) 0 100 62.60
91 0 52(56) 50(34) 0 90 21.75
92 0 75(94) 0 94 40.01
93 0 3(56) 2(44) 0 100 20.88
94 0 137(94) 0 94 40.00
95 0 84(94) 0 94 39.99
96 0 86(94) 0 94 40.00
97 0 93(94) 0 94 40.01
98 0 124(94) 0 94 40.00
99 0 42(18) 41(56) 40(24) 0 98 21.75
(cont.)
332
Table A.93 continued.
No. Route Load Distance
100 0 88(94) 0 94 40.00
101 0 157(56) 229(44) 0 100 80.00
102 0 81(94) 0 94 40.00
103 0 59(56) 58(24) 56(20) 0 100 22.62
104 0 225(44) 224(44) 152(12) 0 100 83.49
105 0 19(24) 20(18) 21(56) 0 98 21.75
106 0 8(56) 9(44) 0 100 20.87
107 0 170(6) 242(94) 0 100 80.00
108 0 31(34) 30(56) 0 90 20.88
109 0 35(56) 34(44) 0 100 20.87
110 0 175(6) 247(94) 0 100 80.00
111 0 214(6) 286(94) 0 100 80.01
112 0 261(94) 189(6) 0 100 80.00
113 0 96(94) 0 94 40.00
114 0 51(56) 50(22) 0 78 20.88
115 0 139(94) 68(6) 0 100 40.07
116 0 14(12) 13(56) 0 68 20.87
117 0 146(50) 145(50) 0 100 62.62
118 0 103(94) 0 94 40.00
119 0 61(56) 60(44) 0 100 20.87
120 0 225(50) 224(50) 0 100 83.49
121 0 148(50) 147(50) 0 100 62.61
122 0 79(94) 0 94 40.00
123 0 282(94) 210(6) 0 100 80.00
124 0 92(94) 0 94 39.99
125 0 221(94) 0 94 80.00
126 0 120(94) 0 94 39.99
127 0 101(94) 29(6) 0 100 40.00
128 0 265(94) 193(6) 0 100 80.00
129 0 187(50) 186(50) 0 100 62.62
130 0 281(94) 209(6) 0 100 80.01
131 0 172(50) 171(50) 0 100 62.61
132 0 159(50) 160(50) 0 100 62.61
(cont.)
333
Table A.93 continued.
No. Route Load Distance
133 0 236(44) 164(56) 0 100 80.00
134 0 99(94) 0 94 39.99
135 0 176(50) 175(50) 0 100 62.62
136 0 167(6) 239(94) 0 100 80.00
137 0 90(94) 0 94 39.99
138 0 200(6) 272(94) 0 100 80.00
139 0 110(94) 0 94 39.99
140 0 142(94) 0 94 40.00
141 0 200(50) 199(50) 0 100 62.62
142 0 178(50) 177(50) 0 100 62.61
143 0 250(94) 178(6) 0 100 80.01
144 0 203(50) 204(50) 0 100 62.61
145 0 49(30) 53(6) 54(8) 55(56) 0 100 25.22
146 0 122(94) 0 94 40.00
147 0 179(6) 251(94) 0 100 80.00
148 0 273(94) 201(6) 0 100 79.99
149 0 170(50) 169(50) 0 100 62.62
150 0 133(94) 0 94 40.00
151 0 128(94) 0 94 39.99
152 0 228(94) 0 94 80.00
153 0 267(38) 266(50) 194(12) 0 100 83.49
154 0 134(94) 0 94 39.99
155 0 260(94) 187(6) 0 100 80.45
156 0 194(44) 196(56) 0 100 65.23
157 0 109(94) 0 94 40.00
158 0 78(94) 0 94 40.00
159 0 76(94) 0 94 40.00
160 0 94(94) 23(6) 0 100 40.08
161 0 141(56) 143(44) 0 100 43.48
162 0 270(50) 197(50) 0 100 80.45
163 0 91(94) 0 94 40.00
164 0 131(94) 0 94 39.99
165 0 255(94) 0 94 79.99
(cont.)
334
Table A.93 continued.
No. Route Load Distance
166 0 203(6) 275(94) 0 100 80.00
167 0 204(6) 276(94) 0 100 79.99
168 0 183(22) 111(78) 0 100 59.99
169 0 277(50) 278(50) 0 100 83.49
170 0 277(44) 205(56) 0 100 79.99
171 0 278(44) 206(56) 0 100 80.00
172 0 202(6) 274(94) 0 100 80.00
173 0 258(44) 188(56) 0 100 81.67
174 0 112(84) 111(16) 0 100 41.75
175 0 210(50) 209(50) 0 100 62.62
176 0 248(94) 176(6) 0 100 80.00
177 0 65(32) 66(56) 0 88 20.87
178 0 212(50) 211(50) 0 100 62.62
179 0 181(6) 253(94) 0 100 80.00
180 0 80(94) 0 94 39.99
181 0 227(94) 0 94 80.00
182 0 63(12) 65(24) 67(56) 0 92 23.49
183 0 181(6) 254(94) 0 100 80.45
184 0 77(94) 0 94 39.99
185 0 186(6) 259(94) 0 100 80.44
186 0 57(56) 56(36) 0 92 20.88
187 0 168(50) 167(50) 0 100 62.62
188 0 283(94) 211(6) 0 100 80.01
189 0 150(44) 149(56) 0 100 62.62
190 0 117(94) 0 94 39.99
191 0 288(94) 216(6) 0 100 80.01
192 0 172(6) 244(94) 0 100 80.00
193 0 25(56) 26(44) 0 100 20.88
194 0 174(6) 246(94) 0 100 80.00
195 0 7(56) 6(44) 0 100 20.87
196 0 180(6) 252(94) 0 100 80.01
197 0 279(94) 207(6) 0 100 80.01
198 0 235(94) 163(6) 0 100 80.00
(cont.)
335
Table A.93 continued.
No. Route Load Distance
199 0 233(94) 161(6) 0 100 80.00
200 0 97(94) 0 94 40.00
201 0 118(94) 0 94 39.99
202 0 163(50) 236(50) 0 100 80.45
203 0 257(44) 185(56) 0 100 80.00
204 0 168(6) 240(94) 0 100 79.99
205 0 189(50) 190(50) 0 100 62.61
206 0 223(94) 0 94 80.00
207 0 195(6) 268(94) 0 100 80.45
208 0 179(50) 180(50) 0 100 62.61
209 0 181(44) 182(56) 0 100 62.62
210 0 270(44) 198(56) 0 100 80.01
211 0 173(6) 245(94) 0 100 80.00
212 0 42(38) 43(56) 0 94 20.87
213 0 129(94) 0 94 40.01
214 0 108(94) 0 94 39.99
215 0 256(94) 0 94 80.00
216 0 68(44) 71(56) 0 100 22.61
217 0 243(94) 171(6) 0 100 80.00
218 0 165(6) 237(94) 0 100 79.99
219 0 144(94) 0 94 39.99
220 0 107(94) 0 94 40.01
221 0 207(50) 208(50) 0 100 62.61
222 0 280(94) 208(6) 0 100 80.00
223 0 1(56) 2(12) 0 68 20.87
Total Distance 12014.61
336
Table A.94: EMIP-MDA+ERTR solution to MDA1 with p = .2.
No. Route Load Distance
1 0 2(50) 1(50) 0 100 34.14
2 0 6(87) 2(13) 0 100 40.00
3 0 7(87) 3(13) 0 100 40.00
4 0 3(50) 4(50) 0 100 34.14
5 0 1(13) 5(87) 0 100 40.00
6 0 4(13) 8(87) 0 100 40.00
Total Distance 228.28
Table A.95: EMIP-MDA+ERTR solution to MDA2 with p = .2.
No. Route Load Distance
1 0 5(37) 1(63) 0 100 40.00
2 0 6(37) 2(63) 0 100 40.00
3 0 7(37) 3(63) 0 100 40.00
4 0 8(50) 4(50) 0 100 40.00
5 0 10(50) 6(50) 0 100 60.00
6 0 11(50) 7(50) 0 100 60.00
7 0 12(63) 8(37) 0 100 60.00
8 0 5(50) 9(50) 0 100 60.00
9 0 14(87) 10(13) 0 100 80.00
10 0 9(13) 13(87) 0 100 80.00
11 0 11(13) 15(87) 0 100 80.00
12 0 4(13) 16(87) 0 100 80.00
Total Distance 720.00
337
Table A.96: EMIP-MDA+ERTR solution to MDA3 with p = .2.
No. Route Load Distance
1 0 8(50) 1(50) 0 100 27.65
2 0 10(87) 2(13) 0 100 39.99
3 0 2(50) 3(50) 0 100 27.65
4 0 12(87) 4(13) 0 100 39.99
5 0 4(50) 5(50) 0 100 27.65
6 0 7(50) 6(50) 0 100 27.65
7 0 15(87) 7(13) 0 100 40.00
8 0 16(87) 8(13) 0 100 39.99
9 0 1(13) 9(87) 0 100 40.00
10 0 3(13) 11(87) 0 100 40.00
11 0 5(13) 13(87) 0 100 40.00
12 0 6(13) 14(87) 0 100 39.99
Total Distance 430.58
Table A.97: EMIP-MDA+ERTR solution to MDA4 with p = .2.
No. Route Load Distance
1 0 14(87) 2(13) 0 100 40.00
2 0 13(87) 1(13) 0 100 40.00
3 0 2(50) 3(50) 0 100 25.18
4 0 4(50) 5(50) 0 100 25.18
5 0 7(50) 6(50) 0 100 25.18
6 0 18(87) 6(13) 0 100 40.00
7 0 20(87) 8(13) 0 100 40.00
8 0 8(50) 9(50) 0 100 25.18
9 0 11(50) 10(50) 0 100 25.18
10 0 1(50) 12(50) 0 100 25.18
11 0 4(13) 16(87) 0 100 40.00
12 0 3(13) 15(87) 0 100 40.00
13 0 5(13) 17(87) 0 100 40.00
14 0 7(13) 19(87) 0 100 40.00
15 0 10(13) 22(87) 0 100 40.00
16 0 9(13) 21(87) 0 100 40.00
17 0 11(13) 23(87) 0 100 40.00
18 0 12(13) 24(87) 0 100 40.00
Total Distance 631.05
338
Table A.98: EMIP-MDA+ERTR solution to MDA5 with p = .2.
No. Route Load Distance
1 0 2(50) 1(50) 0 100 27.65
2 0 10(87) 2(13) 0 100 39.99
3 0 11(87) 3(13) 0 100 40.00
4 0 3(50) 4(50) 0 100 27.65
5 0 13(87) 5(13) 0 100 40.00
6 0 5(50) 6(50) 0 100 27.65
7 0 8(50) 7(50) 0 100 27.65
8 0 16(87) 8(13) 0 100 39.99
9 0 1(13) 9(87) 0 100 40.00
10 0 4(13) 12(87) 0 100 39.99
11 0 6(13) 14(87) 0 100 39.99
12 0 7(13) 15(87) 0 100 40.00
13 0 17(50) 18(50) 0 100 82.95
14 0 27(87) 19(13) 0 100 80.00
15 0 19(50) 20(50) 0 100 82.95
16 0 22(50) 21(50) 0 100 82.96
17 0 30(87) 22(13) 0 100 80.00
18 0 24(50) 23(50) 0 100 82.96
19 0 17(13) 25(87) 0 100 80.00
20 0 18(13) 26(87) 0 100 79.99
21 0 20(13) 28(87) 0 100 80.00
22 0 21(13) 29(87) 0 100 80.00
23 0 23(13) 31(87) 0 100 80.00
24 0 24(13) 32(87) 0 100 80.00
Total Distance 1402.40
339
Table A.99: EMIP-MDA+ERTR solution to MDA6 with p = .2.
No. Route Load Distance
1 0 18(87) 2(13) 0 100 40.00
2 0 2(50) 3(50) 0 100 23.90
3 0 5(50) 4(50) 0 100 23.91
4 0 21(87) 5(13) 0 100 40.00
5 0 7(50) 6(50) 0 100 23.90
6 0 8(50) 9(50) 0 100 23.91
7 0 26(87) 10(13) 0 100 40.00
8 0 10(50) 11(50) 0 100 23.90
9 0 12(50) 13(50) 0 100 23.91
10 0 30(87) 14(13) 0 100 40.00
11 0 14(50) 15(50) 0 100 23.90
12 0 1(50) 16(50) 0 100 23.91
13 0 1(13) 17(87) 0 100 40.00
14 0 3(13) 19(87) 0 100 39.99
15 0 4(13) 20(87) 0 100 40.00
16 0 6(13) 22(87) 0 100 40.00
17 0 7(13) 23(87) 0 100 39.99
18 0 8(13) 24(87) 0 100 40.01
19 0 9(13) 25(87) 0 100 40.00
20 0 11(13) 27(87) 0 100 39.99
21 0 12(13) 28(87) 0 100 40.01
22 0 13(13) 29(87) 0 100 40.00
23 0 15(13) 31(87) 0 100 39.99
24 0 16(13) 32(87) 0 100 40.01
Total Distance 831.24
340
Table A.100: EMIP-MDA+ERTR solution to MDA7 with p = .2.
No. Route Load Distance
1 0 4(50) 1(50) 0 100 34.14
2 0 3(50) 2(50) 0 100 34.14
3 0 8(87) 4(13) 0 100 40.00
4 0 1(13) 5(87) 0 100 40.00
5 0 2(13) 6(87) 0 100 40.00
6 0 3(13) 7(87) 0 100 40.00
7 0 13(50) 9(50) 0 100 80.00
8 0 22(87) 10(13) 0 100 120.00
9 0 15(50) 11(50) 0 100 80.00
10 0 16(37) 12(63) 0 100 80.00
11 0 10(50) 14(50) 0 100 80.00
12 0 20(50) 16(50) 0 100 100.00
13 0 13(37) 17(63) 0 100 100.00
14 0 14(37) 18(63) 0 100 100.00
15 0 15(37) 19(63) 0 100 100.00
16 0 9(13) 21(87) 0 100 120.00
17 0 11(13) 23(87) 0 100 120.00
18 0 20(13) 24(87) 0 100 120.00
19 0 33(50) 25(50) 0 100 180.00
20 0 38(87) 26(13) 0 100 200.00
21 0 31(37) 27(63) 0 100 160.00
22 0 32(37) 28(63) 0 100 160.00
23 0 25(13) 29(87) 0 100 160.00
24 0 26(50) 30(50) 0 100 160.00
25 0 35(50) 31(50) 0 100 180.00
26 0 36(50) 32(50) 0 100 180.00
27 0 37(87) 33(13) 0 100 200.00
28 0 30(37) 34(63) 0 100 180.00
29 0 39(87) 35(13) 0 100 200.00
30 0 36(13) 40(87) 0 100 200.00
Total Distance 3588.28
341
Table A.101: EMIP-MDA+ERTR solution to MDA8 with p = .2.
No. Route Load Distance
1 0 29(87) 17(13) 0 100 160.00
2 0 5(37) 9(63) 0 100 60.00
3 0 8(50) 4(50) 0 100 40.00
4 0 10(50) 6(50) 0 100 60.00
5 0 1(50) 5(50) 0 100 40.00
6 0 19(63) 15(37) 0 100 100.00
7 0 3(63) 7(37) 0 100 40.00
8 0 6(37) 2(63) 0 100 40.00
9 0 14(87) 10(13) 0 100 80.00
10 0 7(50) 11(50) 0 100 60.00
11 0 12(63) 8(37) 0 100 60.00
12 0 4(13) 16(87) 0 100 80.00
13 0 37(87) 33(13) 0 100 200.00
14 0 22(37) 18(63) 0 100 120.00
15 0 40(87) 36(13) 0 100 200.00
16 0 17(50) 21(50) 0 100 120.00
17 0 26(50) 22(50) 0 100 140.00
18 0 11(13) 23(87) 0 100 120.00
19 0 20(50) 24(50) 0 100 120.00
20 0 21(37) 25(63) 0 100 140.00
21 0 30(87) 26(13) 0 100 160.00
22 0 35(50) 43(50) 0 100 220.00
23 0 24(37) 28(63) 0 100 140.00
24 0 27(13) 31(87) 0 100 160.00
25 0 45(87) 33(13) 0 100 240.00
26 0 42(50) 34(50) 0 100 220.00
27 0 39(87) 35(13) 0 100 200.00
28 0 44(50) 36(50) 0 100 220.00
29 0 1(13) 13(87) 0 100 80.00
30 0 42(13) 46(87) 0 100 240.00
31 0 44(13) 48(87) 0 100 240.00
32 0 33(37) 41(63) 0 100 220.00
33 0 15(50) 27(50) 0 100 140.00
34 0 32(87) 20(13) 0 100 160.00
35 0 34(13) 38(87) 0 100 200.00
36 0 43(13) 47(87) 0 100 240.00
Total Distance 5060.00
342
Table A.102: EMIP-MDA+ERTR solution to MDA9 with p = .2.
No. Route Load Distance
1 0 13(37) 1(63) 0 100 40.00
2 0 12(50) 11(50) 0 100 25.18
3 0 15(87) 3(13) 0 100 40.00
4 0 13(50) 25(50) 0 100 60.00
5 0 36(50) 35(50) 0 100 75.53
6 0 18(87) 6(13) 0 100 40.00
7 0 20(87) 8(13) 0 100 40.00
8 0 6(50) 7(50) 0 100 25.18
9 0 23(87) 11(13) 0 100 40.00
10 0 4(50) 5(50) 0 100 25.18
11 0 31(50) 30(50) 0 100 75.53
12 0 2(13) 14(87) 0 100 40.00
13 0 4(13) 16(87) 0 100 40.00
14 0 5(13) 17(87) 0 100 40.00
15 0 32(13) 44(87) 0 100 80.00
16 0 9(13) 21(87) 0 100 40.00
17 0 10(63) 22(37) 0 100 40.00
18 0 12(13) 24(87) 0 100 40.00
19 0 37(87) 25(13) 0 100 80.00
20 0 27(50) 26(50) 0 100 75.53
21 0 2(50) 3(50) 0 100 25.18
22 0 8(50) 9(50) 0 100 25.18
23 0 42(87) 30(13) 0 100 80.00
24 0 33(50) 32(50) 0 100 75.53
25 0 45(87) 33(13) 0 100 80.00
26 0 34(50) 22(50) 0 100 60.00
27 0 29(50) 28(50) 0 100 75.53
28 0 48(87) 36(13) 0 100 80.01
29 0 26(13) 38(87) 0 100 80.00
30 0 27(13) 39(87) 0 100 80.00
31 0 28(13) 40(87) 0 100 80.00
32 0 29(13) 41(87) 0 100 80.00
33 0 7(13) 19(87) 0 100 40.00
34 0 31(13) 43(87) 0 100 80.00
35 0 34(13) 46(87) 0 100 80.00
36 0 35(13) 47(87) 0 100 79.99
Total Distance 2063.50
343
Table A.103: EMIP-MDA+ERTR solution to MDA10 with p = .2.
No. Route Load Distance
1 0 21(87) 0 87 40.00
2 0 12(13) 28(87) 0 100 40.01
3 0 39(50) 38(50) 0 100 71.71
4 0 7(50) 6(50) 0 100 23.90
5 0 34(13) 50(87) 0 100 80.01
6 0 38(13) 54(87) 0 100 80.01
7 0 19(87) 0 87 39.99
8 0 10(63) 0 63 20.00
9 0 29(87) 13(13) 0 100 40.00
10 0 9(13) 25(87) 0 100 40.00
11 0 14(50) 13(50) 0 100 23.91
12 0 46(50) 47(50) 0 100 71.71
13 0 35(50) 34(50) 0 100 71.71
14 0 41(50) 40(50) 0 100 71.71
15 0 55(87) 39(13) 0 100 80.00
16 0 5(63) 4(37) 0 100 23.91
17 0 35(13) 51(87) 0 100 79.99
18 0 30(87) 14(13) 0 100 40.00
19 0 43(50) 42(50) 0 100 71.71
20 0 11(13) 27(87) 0 100 39.99
21 0 2(50) 1(50) 0 100 23.91
22 0 20(87) 0 87 40.00
23 0 56(87) 40(13) 0 100 79.99
24 0 31(87) 15(13) 0 100 39.99
25 0 1(13) 17(87) 0 100 40.00
26 0 26(87) 0 87 40.00
27 0 8(13) 24(87) 0 100 40.01
28 0 59(87) 43(13) 0 100 80.00
29 0 37(50) 36(50) 0 100 71.71
30 0 23(87) 7(13) 0 100 39.99
31 0 16(50) 15(50) 0 100 23.90
32 0 11(50) 12(50) 0 100 23.90
33 0 18(87) 2(13) 0 100 40.00
(cont.)
344
Table A.103 continued.
No. Route Load Distance
34 0 53(87) 37(13) 0 100 80.00
35 0 9(50) 8(50) 0 100 23.91
36 0 60(87) 44(13) 0 100 79.99
37 0 33(13) 49(87) 0 100 80.00
38 0 42(13) 58(87) 0 100 80.00
39 0 16(13) 32(87) 0 100 40.01
40 0 52(87) 36(13) 0 100 79.99
41 0 62(87) 46(13) 0 100 80.00
42 0 44(50) 45(50) 0 100 71.70
43 0 22(87) 6(13) 0 100 40.00
44 0 41(13) 57(87) 0 100 80.00
45 0 48(50) 33(50) 0 100 71.71
46 0 61(87) 45(13) 0 100 80.00
47 0 63(87) 47(13) 0 100 80.00
48 0 64(87) 48(13) 0 100 79.99
49 0 3(63) 4(26) 0 89 23.90
Total Distance 2704.89
345
Table A.104: EMIP-MDA+ERTR solution to MDA11 with p = .2.
No. Route Load Distance
1 0 9(13) 13(87) 0 100 80.00
2 0 14(87) 2(13) 0 100 80.00
3 0 11(13) 15(87) 0 100 80.00
4 0 8(37) 4(63) 0 100 40.00
5 0 1(26) 9(50) 5(24) 0 100 60.00
6 0 2(50) 6(50) 0 100 40.00
7 0 3(26) 11(50) 7(24) 0 100 60.00
8 0 12(50) 8(50) 0 100 60.00
9 0 5(63) 1(37) 0 100 40.00
10 0 6(37) 10(63) 0 100 60.00
11 0 7(63) 3(37) 0 100 40.00
12 0 12(13) 16(87) 0 100 80.00
13 0 22(37) 18(63) 0 100 120.00
14 0 27(13) 31(87) 0 100 160.00
15 0 17(63) 21(37) 0 100 120.00
16 0 30(68) 22(32) 0 100 160.00
17 0 19(63) 23(37) 0 100 120.00
18 0 20(63) 24(37) 0 100 120.00
19 0 21(50) 25(50) 0 100 140.00
20 0 23(50) 27(50) 0 100 140.00
21 0 32(87) 28(13) 0 100 160.00
22 0 25(13) 29(87) 0 100 160.00
23 0 22(18) 26(63) 30(19) 0 100 160.00
24 0 28(50) 24(50) 0 100 140.00
25 0 37(37) 33(63) 0 100 200.00
26 0 38(87) 34(13) 0 100 200.00
27 0 59(50) 55(50) 0 100 300.00
28 0 44(63) 48(37) 0 100 240.00
29 0 37(32) 41(50) 37(18) 0 100 220.00
30 0 34(50) 42(50) 0 100 220.00
31 0 35(50) 39(50) 0 100 200.00
32 0 40(50) 48(50) 0 100 240.00
33 0 45(87) 41(13) 0 100 240.00
(cont.)
346
Table A.104 continued.
No. Route Load Distance
34 0 46(87) 42(13) 0 100 240.00
35 0 35(13) 39(37) 43(50) 0 100 220.00
36 0 36(63) 40(37) 0 100 200.00
37 0 65(31) 69(69) 0 100 360.00
38 0 54(37) 50(63) 0 100 280.00
39 0 43(13) 47(37) 55(37) 51(13) 0 100 280.00
40 0 56(37) 52(63) 0 100 280.00
41 0 49(26) 57(50) 53(24) 0 100 300.00
42 0 60(50) 56(50) 0 100 300.00
43 0 53(63) 49(37) 0 100 280.00
44 0 62(87) 58(13) 0 100 320.00
45 0 51(50) 47(50) 0 100 260.00
46 0 69(18) 73(50) 61(32) 0 100 380.00
47 0 58(50) 54(50) 0 100 300.00
48 0 63(87) 59(13) 0 100 320.00
49 0 60(13) 64(87) 0 100 320.00
50 0 57(13) 61(55) 65(32) 0 100 340.00
51 0 70(37) 66(63) 0 100 360.00
52 0 71(37) 67(63) 0 100 360.00
53 0 74(50) 70(50) 0 100 380.00
54 0 68(63) 72(37) 0 100 360.00
55 0 78(87) 74(13) 0 100 400.00
56 0 71(50) 75(50) 0 100 380.00
57 0 72(50) 76(50) 0 100 380.00
58 0 73(13) 77(87) 0 100 400.00
59 0 75(13) 79(87) 0 100 400.00
60 0 76(13) 80(87) 0 100 400.00
Total Distance 13280.00
347
Table A.105: EMIP-MDA+ERTR solution to MDA12 with p = .2.
No. Route Load Distance
1 0 45(87) 21(13) 0 100 120.00
2 0 76(87) 20(13) 0 100 200.01
3 0 3(63) 0 63 20.00
4 0 46(87) 38(13) 0 100 120.00
5 0 16(87) 8(13) 0 100 39.99
6 0 17(31) 25(69) 0 100 80.00
7 0 18(13) 26(87) 0 100 79.99
8 0 7(13) 15(87) 0 100 40.00
9 0 44(37) 68(63) 0 100 180.00
10 0 14(87) 6(13) 0 100 39.99
11 0 12(87) 4(13) 0 100 39.99
12 0 10(87) 0 87 39.99
13 0 2(63) 0 63 20.00
14 0 18(50) 34(50) 0 100 100.00
15 0 13(87) 5(13) 0 100 40.00
16 0 43(87) 19(13) 0 100 120.00
17 0 7(50) 6(50) 0 100 27.65
18 0 25(18) 33(50) 17(32) 0 100 100.00
19 0 23(63) 31(37) 0 100 80.00
20 0 71(13) 79(87) 0 100 200.00
21 0 22(63) 30(37) 0 100 80.00
22 0 1(50) 8(50) 0 100 27.65
23 0 11(87) 0 87 40.00
24 0 44(50) 52(50) 0 100 139.99
25 0 38(50) 30(50) 0 100 100.00
26 0 29(50) 21(50) 0 100 80.00
27 0 32(37) 24(63) 0 100 80.00
28 0 31(50) 39(50) 0 100 100.00
29 0 5(50) 4(50) 0 100 27.65
30 0 27(24) 35(63) 19(13) 0 100 100.00
31 0 51(37) 67(63) 0 100 180.00
32 0 61(37) 53(63) 0 100 160.00
33 0 60(87) 52(13) 0 100 159.99
(cont.)
348
Table A.105 continued.
No. Route Load Distance
34 0 40(50) 32(50) 0 100 100.00
35 0 49(13) 73(87) 0 100 200.00
36 0 34(13) 42(87) 0 100 120.01
37 0 40(13) 48(87) 0 100 120.00
38 0 57(50) 49(50) 0 100 160.00
39 0 66(13) 74(87) 0 100 200.00
40 0 75(87) 51(13) 0 100 200.00
41 0 28(50) 20(50) 0 100 80.00
42 0 29(37) 37(63) 0 100 100.00
43 0 62(37) 54(63) 0 100 160.00
44 0 63(37) 55(63) 0 100 160.00
45 0 64(37) 56(63) 0 100 160.00
46 0 65(63) 57(37) 0 100 180.00
47 0 58(87) 50(13) 0 100 160.00
48 0 59(87) 51(13) 0 100 160.00
49 0 1(13) 9(87) 0 100 40.00
50 0 70(50) 62(50) 0 100 180.00
51 0 71(50) 63(50) 0 100 180.00
52 0 50(50) 66(50) 0 100 180.00
53 0 27(63) 19(37) 0 100 80.00
54 0 36(63) 28(37) 0 100 100.00
55 0 69(50) 61(50) 0 100 180.00
56 0 78(87) 70(13) 0 100 200.00
57 0 39(13) 47(87) 0 100 120.00
58 0 64(50) 72(50) 0 100 180.00
59 0 41(87) 33(13) 0 100 120.00
60 0 69(13) 77(87) 0 100 200.00
61 0 72(13) 80(87) 0 100 200.00
Total Distance 7182.93
349
Table A.106: EMIP-MDA+ERTR solution to MDA13 with p = .2.
No. Route Load Distance
1 0 10(37) 2(63) 0 100 39.99
2 0 11(87) 3(13) 0 100 40.00
3 0 3(50) 4(50) 0 100 27.65
4 0 13(37) 5(63) 0 100 40.00
5 0 14(37) 6(63) 0 100 39.99
6 0 15(37) 7(63) 0 100 40.00
7 0 16(37) 8(63) 0 100 39.99
8 0 1(63) 9(37) 0 100 40.00
9 0 18(50) 10(50) 0 100 59.99
10 0 4(13) 12(87) 0 100 39.99
11 0 21(50) 13(50) 0 100 60.00
12 0 22(50) 14(50) 0 100 60.01
13 0 23(50) 15(50) 0 100 60.00
14 0 24(50) 16(50) 0 100 60.01
15 0 9(50) 17(50) 0 100 60.00
16 0 19(50) 20(50) 0 100 82.95
17 0 29(87) 21(13) 0 100 80.00
18 0 17(13) 25(87) 0 100 80.00
19 0 18(13) 26(87) 0 100 79.99
20 0 19(13) 27(87) 0 100 80.00
21 0 20(13) 28(87) 0 100 80.00
22 0 22(13) 30(87) 0 100 80.00
23 0 23(13) 31(87) 0 100 80.00
24 0 24(13) 32(87) 0 100 80.00
25 0 73(87) 33(13) 0 100 200.00
26 0 42(37) 34(63) 0 100 120.01
27 0 43(37) 35(63) 0 100 120.00
28 0 45(37) 37(63) 0 100 120.00
29 0 46(50) 38(50) 0 100 120.00
30 0 47(37) 39(63) 0 100 120.00
31 0 48(37) 40(63) 0 100 120.00
32 0 33(13) 41(87) 0 100 120.00
33 0 50(50) 42(50) 0 100 140.01
(cont.)
350
Table A.106 continued.
No. Route Load Distance
34 0 51(50) 43(50) 0 100 140.00
35 0 36(63) 44(37) 0 100 120.00
36 0 53(50) 45(50) 0 100 140.00
37 0 54(63) 46(37) 0 100 139.99
38 0 55(50) 47(50) 0 100 140.00
39 0 64(50) 48(50) 0 100 160.00
40 0 33(37) 49(63) 0 100 140.00
41 0 59(87) 51(13) 0 100 160.00
42 0 44(50) 52(50) 0 100 139.99
43 0 93(87) 53(13) 0 100 240.00
44 0 65(50) 57(50) 0 100 180.00
45 0 50(13) 58(87) 0 100 160.00
46 0 52(13) 60(87) 0 100 159.99
47 0 77(50) 61(50) 0 100 200.00
48 0 38(13) 62(87) 0 100 160.00
49 0 55(13) 63(87) 0 100 160.00
50 0 56(63) 64(37) 0 100 160.00
51 0 89(87) 65(13) 0 100 240.00
52 0 90(87) 66(13) 0 100 239.99
53 0 83(50) 67(50) 0 100 220.00
54 0 61(37) 69(63) 0 100 180.00
55 0 78(37) 70(63) 0 100 200.00
56 0 79(87) 71(13) 0 100 200.00
57 0 80(50) 72(50) 0 100 200.00
58 0 66(50) 74(50) 0 100 200.00
59 0 67(13) 75(87) 0 100 200.00
60 0 68(63) 76(37) 0 100 200.01
61 0 85(63) 77(37) 0 100 220.00
62 0 88(63) 80(37) 0 100 220.00
63 0 57(37) 81(63) 0 100 220.00
64 0 74(37) 82(63) 0 100 220.00
65 0 76(50) 84(50) 0 100 220.01
66 0 78(50) 86(50) 0 100 220.00
(cont.)
351
Table A.106 continued.
No. Route Load Distance
67 0 71(50) 87(50) 0 100 220.00
68 0 83(13) 91(87) 0 100 240.00
69 0 84(13) 92(87) 0 100 240.01
70 0 86(13) 94(87) 0 100 239.99
71 0 87(13) 95(87) 0 100 240.00
72 0 72(13) 96(87) 0 100 240.01
Total Distance 10130.57
352
Table A.107: EMIP-MDA+ERTR solution to MDA14 with p = .2.
No. Route Load Distance
1 0 56(13) 68(87) 0 100 119.99
2 0 113(87) 77(13) 0 100 200.00
3 0 36(63) 48(37) 0 100 80.01
4 0 16(87) 0 87 40.00
5 0 89(87) 77(13) 0 100 160.00
6 0 8(13) 20(87) 0 100 40.00
7 0 8(50) 7(50) 0 100 25.18
8 0 73(13) 109(87) 0 100 200.00
9 0 104(13) 116(87) 0 100 200.00
10 0 21(87) 9(13) 0 100 40.00
11 0 3(13) 15(87) 0 100 40.00
12 0 1(63) 0 63 20.00
13 0 79(50) 103(50) 0 100 180.00
14 0 59(50) 35(50) 0 100 100.01
15 0 6(50) 5(50) 0 100 25.18
16 0 100(50) 88(50) 0 100 180.00
17 0 66(87) 54(13) 0 100 120.00
18 0 93(50) 81(50) 0 100 160.01
19 0 32(50) 56(50) 0 100 100.00
20 0 30(13) 42(87) 0 100 80.00
21 0 38(50) 26(50) 0 100 80.00
22 0 46(50) 58(50) 0 100 100.00
23 0 104(50) 92(50) 0 100 180.00
24 0 96(87) 84(13) 0 100 160.01
25 0 37(87) 25(13) 0 100 80.00
26 0 57(50) 33(50) 0 100 100.01
27 0 11(63) 12(37) 0 100 25.18
28 0 45(87) 33(13) 0 100 80.00
29 0 10(63) 9(37) 0 100 25.18
30 0 2(63) 3(37) 0 100 25.18
31 0 47(87) 35(13) 0 100 79.99
32 0 49(13) 61(87) 0 100 120.00
33 0 40(87) 28(13) 0 100 80.00
(cont.)
353
Table A.107 continued.
No. Route Load Distance
34 0 6(13) 18(87) 0 100 40.00
35 0 73(13) 85(87) 0 100 160.00
36 0 31(63) 43(37) 0 100 80.00
37 0 7(13) 19(87) 0 100 40.00
38 0 32(13) 44(87) 0 100 80.00
39 0 55(50) 43(50) 0 100 100.00
40 0 110(87) 74(13) 0 100 200.00
41 0 13(87) 0 87 40.00
42 0 90(50) 102(50) 0 100 180.01
43 0 14(87) 3(13) 0 100 42.39
44 0 102(13) 114(87) 0 100 200.01
45 0 4(63) 0 63 20.00
46 0 63(87) 51(13) 0 100 120.00
47 0 62(87) 26(13) 0 100 120.00
48 0 112(87) 100(13) 0 100 200.00
49 0 5(13) 17(87) 0 100 40.00
50 0 55(13) 67(87) 0 100 120.00
51 0 46(37) 34(63) 0 100 80.00
52 0 69(87) 57(13) 0 100 120.01
53 0 101(63) 77(37) 0 100 180.01
54 0 106(13) 118(87) 0 100 200.00
55 0 60(13) 72(87) 0 100 120.01
56 0 50(63) 38(37) 0 100 100.00
57 0 39(87) 27(13) 0 100 80.00
58 0 52(13) 64(87) 0 100 120.00
59 0 49(50) 25(50) 0 100 100.00
60 0 80(63) 92(37) 0 100 160.00
61 0 53(13) 65(87) 0 100 120.00
62 0 107(13) 119(87) 0 100 200.00
63 0 71(87) 59(13) 0 100 120.00
64 0 98(63) 86(37) 0 100 180.00
65 0 86(50) 74(50) 0 100 160.00
66 0 87(37) 75(63) 0 100 160.00
(cont.)
354
Table A.107 continued.
No. Route Load Distance
67 0 97(63) 73(37) 0 100 180.00
68 0 41(87) 29(13) 0 100 80.00
69 0 79(13) 91(87) 0 100 160.00
70 0 107(50) 95(50) 0 100 180.00
71 0 105(63) 93(37) 0 100 180.01
72 0 82(63) 94(37) 0 100 160.00
73 0 95(37) 83(63) 0 100 160.00
74 0 106(50) 94(50) 0 100 180.00
75 0 23(87) 12(13) 0 100 42.39
76 0 51(50) 27(50) 0 100 100.00
77 0 28(50) 52(50) 0 100 100.00
78 0 48(50) 60(50) 0 100 100.01
79 0 30(50) 54(50) 0 100 100.00
80 0 22(87) 9(13) 0 100 42.39
81 0 87(50) 99(50) 0 100 180.00
82 0 108(50) 84(50) 0 100 179.99
83 0 70(87) 58(13) 0 100 120.00
84 0 111(87) 99(13) 0 100 200.00
85 0 78(63) 90(37) 0 100 160.01
86 0 76(63) 88(37) 0 100 160.00
87 0 53(50) 29(50) 0 100 100.00
88 0 103(13) 115(87) 0 100 200.00
89 0 117(87) 81(13) 0 100 200.01
90 0 108(13) 120(87) 0 100 199.99
91 0 24(87) 12(13) 0 100 40.00
Total Distance 10733.07
355
Table A.108: EMIP-MDA+ERTR solution to MDA15 with p = .2.
No. Route Load Distance
1 0 92(87) 56(13) 0 100 160.00
2 0 64(50) 76(50) 0 100 140.00
3 0 17(87) 5(13) 0 100 40.00
4 0 127(63) 115(37) 0 100 220.00
5 0 135(87) 123(13) 0 100 239.99
6 0 76(13) 88(87) 0 100 160.00
7 0 2(26) 1(63) 0 89 25.18
8 0 27(13) 39(87) 0 100 80.00
9 0 33(13) 45(87) 0 100 80.00
10 0 63(50) 75(50) 0 100 140.00
11 0 114(37) 102(63) 0 100 200.01
12 0 31(50) 19(50) 0 100 60.00
13 0 122(63) 98(37) 0 100 220.00
14 0 81(50) 69(50) 0 100 140.01
15 0 62(37) 74(50) 50(13) 0 100 140.00
16 0 9(50) 8(50) 0 100 25.18
17 0 24(87) 0 87 40.00
18 0 15(87) 0 87 40.00
19 0 31(13) 91(87) 0 100 160.00
20 0 137(87) 125(13) 0 100 240.00
21 0 50(50) 62(50) 0 100 120.00
22 0 29(50) 30(50) 0 100 75.53
23 0 109(50) 121(50) 0 100 220.00
24 0 12(63) 2(37) 0 100 30.00
25 0 111(87) 99(13) 0 100 200.00
26 0 42(87) 30(13) 0 100 80.00
27 0 98(13) 110(87) 0 100 200.00
28 0 11(13) 46(87) 0 100 81.74
29 0 130(13) 142(87) 0 100 240.00
30 0 94(87) 82(13) 0 100 160.00
31 0 123(50) 99(50) 0 100 220.00
32 0 98(13) 134(87) 0 100 239.99
33 0 35(13) 48(87) 0 100 90.53
(cont.)
356
Table A.108 continued.
No. Route Load Distance
34 0 18(87) 6(13) 0 100 40.00
35 0 85(87) 73(13) 0 100 160.00
36 0 125(37) 101(63) 0 100 220.00
37 0 35(13) 47(87) 0 100 79.99
38 0 26(50) 27(50) 0 100 75.53
39 0 136(87) 124(13) 0 100 240.00
40 0 49(13) 73(50) 61(37) 0 100 140.00
41 0 117(50) 129(50) 0 100 220.01
42 0 114(50) 126(50) 0 100 220.01
43 0 132(13) 144(87) 0 100 240.00
44 0 25(13) 37(87) 0 100 80.00
45 0 13(50) 25(50) 0 100 60.00
46 0 78(50) 66(50) 0 100 140.00
47 0 38(87) 26(13) 0 100 80.00
48 0 87(87) 75(13) 0 100 160.00
49 0 103(13) 139(87) 0 100 240.00
50 0 52(26) 64(37) 52(37) 0 100 120.00
51 0 5(50) 6(50) 0 100 25.18
52 0 49(50) 61(50) 0 100 120.00
53 0 44(87) 32(13) 0 100 80.00
54 0 43(37) 55(63) 0 100 100.00
55 0 103(50) 115(50) 0 100 200.00
56 0 86(87) 74(13) 0 100 160.00
57 0 119(50) 107(50) 0 100 200.00
58 0 104(13) 116(87) 0 100 200.00
59 0 96(87) 84(13) 0 100 160.01
60 0 120(37) 108(63) 0 100 199.99
61 0 8(13) 20(87) 0 100 40.00
62 0 112(37) 100(63) 0 100 200.00
63 0 104(13) 140(87) 0 100 240.00
64 0 53(50) 65(50) 0 100 120.00
65 0 16(87) 0 87 40.00
66 0 130(50) 118(50) 0 100 220.00
(cont.)
357
Table A.108 continued.
No. Route Load Distance
67 0 143(87) 107(13) 0 100 239.99
68 0 89(87) 53(13) 0 100 160.00
69 0 57(63) 69(37) 0 100 120.01
70 0 10(63) 11(37) 0 100 25.18
71 0 32(50) 33(50) 0 100 75.53
72 0 13(37) 36(63) 0 100 66.15
73 0 80(63) 68(37) 0 100 140.00
74 0 117(37) 105(63) 0 100 200.01
75 0 23(87) 11(13) 0 100 40.00
76 0 59(63) 71(37) 0 100 120.00
77 0 9(13) 21(87) 0 100 40.00
78 0 7(63) 19(37) 0 100 40.00
79 0 81(13) 93(87) 0 100 160.01
80 0 68(50) 56(50) 0 100 119.99
81 0 67(37) 79(63) 0 100 140.00
82 0 119(37) 131(63) 0 100 220.00
83 0 60(63) 72(37) 0 100 120.01
84 0 97(63) 109(37) 0 100 200.00
85 0 132(50) 120(50) 0 100 220.00
86 0 3(63) 4(26) 0 89 25.18
87 0 34(63) 35(37) 0 100 75.53
88 0 77(63) 65(37) 0 100 140.00
89 0 118(37) 106(63) 0 100 200.00
90 0 40(87) 0 87 80.00
91 0 22(87) 0 87 40.00
92 0 70(50) 82(50) 0 100 140.00
93 0 84(50) 72(50) 0 100 140.01
94 0 41(87) 29(13) 0 100 80.00
95 0 112(50) 124(50) 0 100 220.00
96 0 129(13) 141(87) 0 100 240.00
97 0 58(63) 70(37) 0 100 120.00
98 0 126(13) 138(87) 0 100 240.00
99 0 90(87) 78(13) 0 100 160.01
(cont.)
358
Table A.108 continued.
No. Route Load Distance
100 0 104(37) 128(63) 0 100 220.00
101 0 71(50) 83(50) 0 100 140.00
102 0 95(87) 83(13) 0 100 160.00
103 0 121(13) 133(87) 0 100 240.00
104 0 28(63) 4(37) 0 100 60.00
105 0 113(87) 125(13) 0 100 220.00
106 0 43(50) 67(50) 0 100 120.00
107 0 51(63) 63(37) 0 100 120.00
108 0 14(87) 0 87 40.00
109 0 66(37) 54(63) 0 100 120.00
Total Distance 15116.39
359
Table A.109: EMIP-MDA+ERTR solution to MDA16 with p = .2.
No. Route Load Distance
1 0 1(26) 72(63) 0 89 20.87
2 0 2(63) 1(37) 0 100 20.87
3 0 3(63) 4(37) 0 100 20.87
4 0 5(63) 4(26) 0 89 20.87
5 0 6(63) 7(26) 0 89 20.87
6 0 7(37) 8(63) 0 100 20.88
7 0 9(63) 10(37) 0 100 20.87
8 0 10(26) 11(63) 0 89 20.87
9 0 13(26) 14(63) 0 89 20.87
10 0 13(37) 12(63) 0 100 20.88
11 0 16(26) 15(63) 0 89 20.87
12 0 16(37) 17(63) 0 100 20.87
13 0 18(63) 19(37) 0 100 20.87
14 0 19(26) 20(63) 0 89 20.87
15 0 21(63) 22(26) 0 89 20.87
16 0 23(63) 22(37) 0 100 20.87
17 0 25(37) 26(63) 0 100 20.88
18 0 25(26) 24(63) 0 89 20.87
19 0 28(37) 27(63) 0 100 20.87
20 0 28(26) 29(63) 0 89 20.87
21 0 30(63) 31(26) 0 89 20.88
22 0 32(63) 31(37) 0 100 20.87
23 0 34(37) 33(63) 0 100 20.87
24 0 34(26) 35(63) 0 89 20.87
25 0 36(63) 37(26) 0 89 20.87
26 0 38(63) 37(37) 0 100 20.87
27 0 44(63) 43(26) 0 89 20.86
28 0 41(37) 40(63) 0 100 20.87
29 0 41(26) 39(63) 0 89 21.74
30 0 43(37) 42(63) 0 100 20.87
31 0 45(63) 46(37) 0 100 20.87
32 0 46(26) 47(63) 0 89 20.87
33 0 49(26) 48(63) 0 89 20.88
(cont.)
360
Table A.109 continued.
No. Route Load Distance
34 0 50(63) 49(37) 0 100 20.87
35 0 52(26) 51(63) 0 89 20.87
36 0 52(37) 53(63) 0 100 20.87
37 0 55(26) 54(63) 0 89 20.87
38 0 56(63) 55(37) 0 100 20.87
39 0 57(63) 58(37) 0 100 20.87
40 0 58(26) 59(63) 0 89 20.87
41 0 60(63) 61(26) 0 89 20.87
42 0 62(63) 61(37) 0 100 20.86
43 0 64(37) 63(63) 0 100 20.87
44 0 65(63) 64(26) 0 89 20.87
45 0 67(26) 66(63) 0 89 20.88
46 0 68(63) 67(37) 0 100 20.87
47 0 71(63) 70(26) 0 89 20.87
48 0 70(37) 69(63) 0 100 20.87
49 0 73(87) 0 87 40.00
50 0 74(87) 0 87 39.99
51 0 75(87) 0 87 40.01
52 0 76(87) 0 87 40.00
53 0 77(87) 0 87 39.99
54 0 78(87) 0 87 40.00
55 0 79(87) 0 87 40.00
56 0 80(87) 0 87 39.99
57 0 81(87) 0 87 40.00
58 0 82(87) 0 87 39.99
59 0 83(87) 0 87 40.00
60 0 84(87) 0 87 39.99
61 0 85(87) 0 87 40.00
62 0 86(87) 0 87 40.00
63 0 87(87) 0 87 39.99
64 0 88(87) 0 87 40.00
65 0 89(87) 0 87 40.01
66 0 90(87) 0 87 39.99
(cont.)
361
Table A.109 continued.
No. Route Load Distance
67 0 91(87) 0 87 40.00
68 0 92(87) 0 87 39.99
69 0 93(87) 0 87 40.01
70 0 94(87) 0 87 40.00
71 0 95(87) 0 87 39.99
72 0 96(87) 0 87 40.00
73 0 97(87) 0 87 40.00
74 0 98(87) 0 87 39.99
75 0 99(87) 0 87 39.99
76 0 100(87) 0 87 39.99
77 0 101(87) 0 87 40.00
78 0 102(87) 0 87 39.99
79 0 103(87) 0 87 40.00
80 0 104(87) 0 87 40.00
81 0 105(87) 0 87 39.99
82 0 106(87) 0 87 40.00
83 0 107(87) 0 87 40.01
84 0 108(87) 0 87 39.99
85 0 109(87) 0 87 40.00
86 0 110(87) 0 87 39.99
87 0 111(87) 0 87 40.01
88 0 112(87) 0 87 40.00
89 0 113(87) 0 87 39.99
90 0 114(87) 0 87 40.00
91 0 115(87) 0 87 40.00
92 0 116(87) 0 87 39.99
93 0 117(87) 0 87 39.99
94 0 118(87) 0 87 39.99
95 0 119(87) 0 87 40.00
96 0 120(87) 0 87 39.99
97 0 121(61) 122(39) 0 100 41.75
98 0 122(48) 123(52) 0 100 41.74
99 0 121(26) 124(56) 125(18) 0 100 46.96
(cont.)
362
Table A.109 continued.
No. Route Load Distance
100 0 125(69) 124(31) 0 100 41.75
101 0 123(35) 126(61) 0 96 45.21
102 0 128(69) 127(31) 0 100 41.74
103 0 126(26) 127(56) 128(18) 0 100 43.49
104 0 129(87) 0 87 40.01
105 0 130(87) 0 87 40.00
106 0 131(87) 0 87 39.99
107 0 132(87) 0 87 40.00
108 0 133(87) 0 87 40.00
109 0 134(87) 0 87 39.99
110 0 135(87) 0 87 39.99
111 0 136(87) 0 87 39.99
112 0 137(87) 0 87 40.00
113 0 138(87) 0 87 39.99
114 0 139(87) 0 87 40.00
115 0 140(87) 0 87 40.00
116 0 141(87) 0 87 39.99
117 0 142(87) 0 87 40.00
118 0 143(87) 0 87 40.01
119 0 144(87) 0 87 39.99
Total Distance 3865.24
363
Table A.110: EMIP-MDA+ERTR solution to MDA17 with p = .2.
No. Route Load Distance
1 0 1(13) 9(87) 0 100 40.00
2 0 47(50) 55(50) 0 100 140.00
3 0 75(37) 67(63) 0 100 200.00
4 0 85(63) 77(37) 0 100 220.00
5 0 3(13) 27(87) 0 100 80.00
6 0 72(50) 80(50) 0 100 200.00
7 0 95(87) 87(13) 0 100 240.00
8 0 37(13) 45(87) 0 100 120.00
9 0 48(50) 40(50) 0 100 120.00
10 0 47(37) 39(63) 0 100 120.00
11 0 96(87) 72(13) 0 100 240.01
12 0 18(13) 26(87) 0 100 79.99
13 0 12(37) 20(63) 0 100 59.99
14 0 33(50) 49(50) 0 100 140.00
15 0 68(50) 76(50) 0 100 200.01
16 0 32(50) 23(50) 0 100 98.33
17 0 93(37) 117(63) 0 100 300.00
18 0 28(87) 4(13) 0 100 80.00
19 0 84(63) 76(37) 0 100 220.01
20 0 37(50) 53(50) 0 100 140.00
21 0 30(87) 22(13) 0 100 80.00
22 0 7(50) 6(50) 0 100 27.65
23 0 23(13) 31(87) 0 100 80.00
24 0 22(50) 21(50) 0 100 82.96
25 0 11(37) 19(63) 0 100 60.00
26 0 133(63) 141(37) 0 100 360.00
27 0 33(13) 41(87) 0 100 120.00
28 0 43(37) 51(63) 0 100 140.00
29 0 144(87) 136(13) 0 100 360.00
30 0 73(37) 65(63) 0 100 200.00
31 0 15(87) 7(13) 0 100 40.00
32 0 13(87) 0 87 40.00
33 0 52(50) 44(50) 0 100 139.99
(cont.)
364
Table A.110 continued.
No. Route Load Distance
34 0 2(63) 0 63 20.00
35 0 98(50) 106(50) 0 100 280.00
36 0 55(13) 63(87) 0 100 160.00
37 0 35(50) 43(50) 0 100 120.00
38 0 114(63) 106(37) 0 100 300.00
39 0 25(87) 17(13) 0 100 80.00
40 0 125(87) 53(13) 0 100 320.00
41 0 10(87) 0 87 39.99
42 0 66(13) 74(87) 0 100 200.00
43 0 44(37) 36(63) 0 100 120.00
44 0 78(37) 70(63) 0 100 200.00
45 0 38(13) 62(87) 0 100 160.00
46 0 81(50) 73(50) 0 100 220.00
47 0 58(18) 66(19) 82(63) 0 100 220.00
48 0 124(87) 100(13) 0 100 319.99
49 0 68(13) 92(87) 0 100 240.01
50 0 35(13) 59(87) 0 100 160.00
51 0 3(50) 11(50) 0 100 40.00
52 0 152(50) 136(50) 0 100 380.00
53 0 50(13) 90(87) 0 100 239.99
54 0 101(50) 93(50) 0 100 260.00
55 0 5(63) 0 63 20.00
56 0 46(37) 54(63) 0 100 139.99
57 0 52(13) 60(87) 0 100 159.99
58 0 149(13) 157(87) 0 100 400.00
59 0 38(50) 46(50) 0 100 120.00
60 0 8(13) 16(87) 0 100 39.99
61 0 75(50) 83(50) 0 100 220.00
62 0 71(50) 87(50) 0 100 220.00
63 0 104(13) 128(87) 0 100 320.01
64 0 101(13) 109(87) 0 100 280.00
65 0 81(13) 89(87) 0 100 240.00
66 0 146(13) 154(87) 0 100 400.00
(cont.)
365
Table A.110 continued.
No. Route Load Distance
67 0 99(13) 107(87) 0 100 280.00
68 0 71(13) 79(87) 0 100 200.00
69 0 42(50) 50(50) 0 100 140.01
70 0 118(63) 110(37) 0 100 300.00
71 0 80(37) 88(63) 0 100 220.00
72 0 98(13) 122(87) 0 100 319.99
73 0 105(68) 97(32) 0 100 280.00
74 0 1(50) 8(50) 0 100 27.65
75 0 83(13) 91(87) 0 100 240.00
76 0 100(50) 108(50) 0 100 280.00
77 0 94(50) 78(50) 0 100 239.99
78 0 111(37) 103(63) 0 100 280.00
79 0 57(87) 49(13) 0 100 160.00
80 0 14(87) 6(13) 0 100 39.99
81 0 150(50) 134(50) 0 100 380.00
82 0 143(50) 151(50) 0 100 380.00
83 0 120(63) 112(37) 0 100 300.00
84 0 105(19) 113(63) 97(18) 0 100 300.00
85 0 32(37) 24(63) 0 100 80.00
86 0 115(13) 123(87) 0 100 320.00
87 0 140(37) 132(63) 0 100 360.00
88 0 141(50) 149(50) 0 100 380.00
89 0 42(37) 34(63) 0 100 120.01
90 0 159(87) 151(13) 0 100 400.00
91 0 18(50) 17(50) 0 100 82.95
92 0 121(87) 97(13) 0 100 320.00
93 0 58(69) 66(31) 0 100 180.00
94 0 139(50) 155(50) 0 100 400.00
95 0 94(37) 86(63) 0 100 239.99
96 0 12(50) 4(50) 0 100 39.99
97 0 126(87) 102(13) 0 100 319.99
98 0 137(50) 145(50) 0 100 380.00
99 0 130(32) 138(18) 146(50) 0 100 380.00
(cont.)
366
Table A.110 continued.
No. Route Load Distance
100 0 99(50) 115(50) 0 100 300.00
101 0 108(37) 116(63) 0 100 300.00
102 0 61(37) 69(63) 0 100 180.00
103 0 142(87) 134(13) 0 100 359.99
104 0 143(37) 135(63) 0 100 360.00
105 0 152(13) 160(87) 0 100 400.00
106 0 129(63) 137(37) 0 100 360.00
107 0 130(31) 138(69) 0 100 360.00
108 0 131(63) 139(37) 0 100 360.00
109 0 140(50) 148(18) 156(32) 0 100 400.00
110 0 61(50) 77(50) 0 100 200.00
111 0 111(50) 119(50) 0 100 300.00
112 0 145(13) 153(87) 0 100 400.00
113 0 155(37) 147(63) 0 100 400.00
114 0 156(55) 148(45) 0 100 400.00
115 0 64(87) 40(13) 0 100 160.00
116 0 110(50) 102(50) 0 100 280.00
117 0 112(50) 104(50) 0 100 280.00
118 0 56(63) 48(37) 0 100 140.01
119 0 150(13) 158(87) 0 100 400.00
120 0 119(13) 127(87) 0 100 320.00
121 0 21(13) 29(87) 0 100 80.00
Total Distance 26519.45
367
Table A.111: EMIP-MDA+ERTR solution to MDA18 with p = .2.
No. Route Load Distance
1 0 59(87) 0 87 80.00
2 0 79(13) 95(87) 0 100 120.00
3 0 139(13) 155(87) 0 100 200.00
4 0 137(13) 153(87) 0 100 200.00
5 0 30(37) 46(63) 0 100 60.01
6 0 17(87) 0 87 40.00
7 0 80(13) 96(87) 0 100 120.00
8 0 27(50) 76(50) 0 100 102.43
9 0 5(13) 21(87) 0 100 40.00
10 0 65(50) 50(50) 0 100 110.12
11 0 144(63) 160(37) 0 100 199.99
12 0 27(37) 43(63) 0 100 60.01
13 0 12(13) 28(87) 0 100 40.01
14 0 97(50) 113(50) 0 100 160.00
15 0 137(50) 105(50) 0 100 180.00
16 0 140(50) 124(50) 0 100 179.99
17 0 4(37) 7(63) 0 100 31.11
18 0 16(13) 31(87) 0 100 41.41
19 0 58(50) 57(50) 0 100 95.60
20 0 2(26) 34(63) 0 89 60.01
21 0 16(13) 32(87) 0 100 40.01
22 0 135(50) 103(50) 0 100 180.00
23 0 107(50) 91(50) 0 100 139.99
24 0 72(13) 88(87) 0 100 120.00
25 0 141(50) 142(50) 0 100 215.11
26 0 12(37) 44(63) 0 100 59.99
27 0 30(50) 47(50) 0 100 63.84
28 0 72(50) 40(50) 0 100 100.00
29 0 84(87) 0 87 119.99
30 0 103(13) 119(87) 0 100 159.99
31 0 143(50) 111(50) 0 100 180.00
32 0 6(50) 5(50) 0 100 23.91
33 0 26(87) 0 87 40.00
(cont.)
368
Table A.111 continued.
No. Route Load Distance
34 0 71(13) 87(87) 0 100 120.00
35 0 50(37) 66(63) 0 100 99.99
36 0 10(63) 0 63 20.00
37 0 16(37) 15(63) 0 100 23.90
38 0 48(13) 64(87) 0 100 79.99
39 0 94(50) 110(50) 0 100 140.01
40 0 62(87) 0 87 80.00
41 0 142(13) 158(87) 0 100 199.99
42 0 109(63) 77(37) 0 100 140.00
43 0 111(13) 127(87) 0 100 160.00
44 0 13(31) 14(63) 0 94 23.91
45 0 19(37) 35(63) 0 100 59.99
46 0 11(63) 0 63 20.00
47 0 19(50) 20(50) 0 100 47.81
48 0 146(87) 0 87 200.01
49 0 143(13) 159(87) 0 100 200.00
50 0 79(50) 80(50) 0 100 119.51
51 0 132(50) 100(50) 0 100 180.00
52 0 29(87) 0 87 40.00
53 0 97(13) 113(37) 129(50) 0 100 180.00
54 0 53(50) 69(50) 0 100 100.00
55 0 138(50) 139(50) 0 100 215.11
56 0 120(63) 104(37) 0 100 160.00
57 0 129(13) 145(87) 0 100 200.00
58 0 48(50) 33(50) 0 100 71.71
59 0 94(37) 78(63) 0 100 120.00
60 0 53(37) 37(63) 0 100 80.00
61 0 20(37) 36(63) 0 100 60.01
62 0 82(37) 98(63) 0 100 140.00
63 0 77(13) 125(87) 0 100 160.00
64 0 100(13) 116(87) 0 100 160.00
65 0 150(50) 118(50) 0 100 200.00
66 0 4(26) 3(63) 0 89 23.90
(cont.)
369
Table A.111 continued.
No. Route Load Distance
67 0 136(13) 152(87) 0 100 199.99
68 0 65(13) 81(87) 0 100 120.00
69 0 51(37) 67(63) 0 100 100.00
70 0 135(13) 151(87) 0 100 200.01
71 0 131(50) 99(50) 0 100 180.00
72 0 57(37) 73(63) 0 100 100.00
73 0 18(87) 0 87 40.00
74 0 138(13) 154(87) 0 100 200.00
75 0 8(13) 89(87) 0 100 120.91
76 0 118(37) 102(63) 0 100 160.00
77 0 83(87) 0 87 120.01
78 0 8(13) 24(87) 0 100 40.01
79 0 22(87) 0 87 40.00
80 0 74(13) 122(87) 0 100 160.00
81 0 33(13) 49(87) 0 100 80.00
82 0 124(37) 108(63) 0 100 160.00
83 0 101(13) 149(87) 0 100 200.00
84 0 6(13) 54(87) 0 100 80.01
85 0 133(63) 117(37) 0 100 180.00
86 0 55(50) 71(50) 0 100 100.00
87 0 130(63) 114(37) 0 100 180.00
88 0 136(50) 120(24) 104(26) 0 100 180.01
89 0 131(13) 147(87) 0 100 200.00
90 0 25(87) 0 87 40.00
91 0 47(13) 63(87) 0 100 80.00
92 0 75(63) 91(37) 0 100 120.00
93 0 74(31) 90(69) 0 100 120.01
94 0 40(13) 56(87) 0 100 79.99
95 0 110(13) 126(87) 0 100 159.99
96 0 140(13) 156(87) 0 100 199.99
97 0 114(50) 82(50) 0 100 160.00
98 0 128(50) 160(50) 0 100 199.99
99 0 12(13) 60(87) 0 100 79.99
(cont.)
370
Table A.111 continued.
No. Route Load Distance
100 0 61(87) 0 87 80.00
101 0 93(87) 77(13) 0 100 120.00
102 0 51(32) 52(68) 0 100 95.59
103 0 99(13) 115(87) 0 100 160.00
104 0 69(13) 85(87) 0 100 120.00
105 0 23(50) 39(50) 0 100 59.99
106 0 8(37) 41(63) 0 100 61.11
107 0 92(87) 76(13) 0 100 120.00
108 0 13(32) 45(63) 0 95 60.00
109 0 101(50) 117(50) 0 100 160.00
110 0 105(13) 121(87) 0 100 160.00
111 0 106(63) 90(18) 74(19) 0 100 139.99
112 0 39(13) 86(87) 0 100 124.26
113 0 2(37) 1(63) 0 100 23.91
114 0 150(37) 134(63) 0 100 200.00
115 0 107(13) 123(87) 0 100 160.00
116 0 132(13) 148(87) 0 100 200.01
117 0 23(37) 38(63) 0 100 63.84
118 0 42(63) 58(37) 0 100 80.00
119 0 9(63) 0 63 20.00
120 0 141(13) 157(87) 0 100 200.00
121 0 51(18) 68(63) 52(19) 0 100 110.10
122 0 55(37) 70(63) 0 100 110.12
123 0 112(63) 128(37) 0 100 160.01
Total Distance 14559.20
371
Table A.112: EMIP-MDA+ERTR solution to MDA19 with p = .2.
No. Route Load Distance
1 0 104(13) 120(87) 0 100 160.00
2 0 76(50) 92(50) 0 100 120.00
3 0 82(37) 66(63) 0 100 119.99
4 0 34(63) 17(37) 0 100 63.84
5 0 23(50) 9(50) 0 100 44.73
6 0 39(63) 23(37) 0 100 59.99
7 0 117(87) 69(13) 0 100 160.00
8 0 29(87) 13(13) 0 100 40.00
9 0 12(13) 28(87) 0 100 40.01
10 0 42(13) 58(87) 0 100 80.00
11 0 187(87) 171(13) 0 100 239.99
12 0 96(37) 112(63) 0 100 140.01
13 0 168(63) 136(37) 0 100 219.99
14 0 144(13) 192(87) 0 100 240.00
15 0 125(87) 0 87 160.00
16 0 151(37) 135(63) 0 100 200.01
17 0 88(37) 72(63) 0 100 120.00
18 0 4(50) 5(50) 0 100 23.91
19 0 84(87) 68(13) 0 100 119.99
20 0 55(87) 38(13) 0 100 86.81
21 0 98(13) 114(87) 0 100 160.00
22 0 81(50) 97(50) 0 100 140.00
23 0 52(37) 36(63) 0 100 79.99
24 0 49(87) 33(13) 0 100 80.00
25 0 61(69) 45(31) 0 100 80.00
26 0 77(43) 93(55) 0 98 120.00
27 0 136(13) 184(87) 0 100 240.00
28 0 18(87) 0 87 40.00
29 0 5(13) 21(87) 0 100 40.00
30 0 169(13) 185(87) 0 100 240.00
31 0 93(32) 109(63) 0 95 140.00
32 0 162(13) 178(87) 0 100 240.01
33 0 140(63) 156(37) 0 100 199.99
(cont.)
372
Table A.112 continued.
No. Route Load Distance
34 0 83(87) 35(13) 0 100 120.01
35 0 87(37) 103(63) 0 100 139.99
36 0 27(87) 0 87 39.99
37 0 76(13) 124(87) 0 100 160.00
38 0 15(13) 31(87) 0 100 39.99
39 0 70(63) 54(37) 0 100 100.01
40 0 91(37) 107(63) 0 100 139.99
41 0 80(63) 64(37) 0 100 100.00
42 0 67(63) 35(37) 0 100 100.00
43 0 130(13) 146(87) 0 100 200.01
44 0 10(63) 11(37) 0 100 23.90
45 0 134(63) 150(37) 0 100 200.00
46 0 26(87) 0 87 40.00
47 0 30(87) 0 87 40.00
48 0 8(63) 6(37) 0 100 27.66
49 0 118(87) 0 87 160.00
50 0 149(87) 133(13) 0 100 200.00
51 0 47(63) 15(37) 0 100 60.01
52 0 137(26) 153(24) 169(50) 0 100 220.00
53 0 127(87) 15(13) 0 100 160.00
54 0 98(50) 82(50) 0 100 140.00
55 0 166(13) 182(87) 0 100 240.01
56 0 6(26) 7(63) 0 89 23.90
57 0 96(50) 95(50) 0 100 143.41
58 0 139(13) 155(87) 0 100 200.00
59 0 38(50) 53(50) 0 100 86.81
60 0 90(50) 74(50) 0 100 120.01
61 0 136(13) 152(87) 0 100 199.99
62 0 157(87) 141(13) 0 100 200.00
63 0 137(37) 153(63) 0 100 200.00
64 0 108(63) 92(37) 0 100 140.01
65 0 86(37) 102(63) 0 100 139.99
66 0 44(13) 60(87) 0 100 79.99
(cont.)
373
Table A.112 continued.
No. Route Load Distance
67 0 53(37) 37(63) 0 100 80.00
68 0 100(13) 116(87) 0 100 160.00
69 0 25(87) 9(13) 0 100 40.00
70 0 160(87) 0 87 199.99
71 0 71(13) 119(87) 0 100 159.99
72 0 138(50) 154(50) 0 100 200.00
73 0 63(50) 64(50) 0 100 95.61
74 0 42(50) 43(50) 0 100 71.71
75 0 183(87) 167(13) 0 100 240.01
76 0 71(50) 87(50) 0 100 120.00
77 0 99(13) 115(87) 0 100 160.00
78 0 75(50) 91(50) 0 100 120.00
79 0 161(50) 129(50) 0 100 220.00
80 0 126(87) 46(13) 0 100 159.99
81 0 43(13) 59(87) 0 100 80.00
82 0 65(63) 81(37) 0 100 120.00
83 0 12(50) 13(50) 0 100 23.91
84 0 88(50) 104(50) 0 100 140.00
85 0 50(87) 2(13) 0 100 80.01
86 0 179(50) 147(50) 0 100 239.99
87 0 165(13) 181(87) 0 100 240.00
88 0 94(87) 0 87 120.00
89 0 46(50) 78(26) 77(20) 0 96 119.52
90 0 44(50) 61(18) 45(32) 0 100 86.80
91 0 159(37) 175(63) 0 100 220.00
92 0 142(63) 158(37) 0 100 199.99
93 0 75(13) 123(87) 0 100 160.00
94 0 186(87) 138(13) 0 100 240.00
95 0 41(50) 40(50) 0 100 71.71
96 0 141(50) 173(50) 0 100 220.00
97 0 69(50) 85(50) 0 100 120.00
98 0 1(63) 16(36) 0 99 23.91
99 0 128(37) 176(63) 0 100 220.00
(cont.)
374
Table A.112 continued.
No. Route Load Distance
100 0 179(37) 163(63) 0 100 239.99
101 0 132(63) 148(37) 0 100 200.01
102 0 170(63) 154(37) 0 100 219.99
103 0 143(13) 191(87) 0 100 240.01
104 0 144(50) 128(50) 0 100 180.00
105 0 17(50) 33(50) 0 100 60.00
106 0 20(87) 4(13) 0 100 40.00
107 0 68(50) 52(50) 0 100 100.00
108 0 24(87) 0 87 40.01
109 0 14(63) 11(26) 0 89 31.11
110 0 143(50) 159(50) 0 100 200.00
111 0 99(50) 100(50) 0 100 167.31
112 0 79(63) 63(37) 0 100 100.00
113 0 54(50) 86(50) 0 100 119.99
114 0 3(50) 2(50) 0 100 23.90
115 0 151(50) 167(50) 0 100 220.01
116 0 95(37) 111(63) 0 100 140.01
117 0 89(50) 105(50) 0 100 140.00
118 0 73(63) 89(37) 0 100 120.00
119 0 78(37) 110(63) 0 100 140.01
120 0 121(87) 105(13) 0 100 160.00
121 0 173(13) 189(87) 0 100 240.00
122 0 74(13) 122(87) 0 100 160.00
123 0 40(13) 56(87) 0 100 79.99
124 0 48(63) 16(27) 0 90 60.00
125 0 147(37) 131(63) 0 100 200.00
126 0 106(63) 90(37) 0 100 139.99
127 0 129(13) 145(87) 0 100 200.00
128 0 164(13) 180(87) 0 100 240.00
129 0 19(87) 3(13) 0 100 39.99
130 0 101(63) 85(37) 0 100 140.00
131 0 139(50) 171(50) 0 100 220.00
132 0 164(50) 148(50) 0 100 220.01
(cont.)
375
Table A.112 continued.
No. Route Load Distance
133 0 158(50) 174(50) 0 100 219.99
134 0 156(50) 172(50) 0 100 220.00
135 0 190(87) 174(13) 0 100 240.00
136 0 97(13) 113(87) 0 100 160.00
137 0 62(87) 0 87 80.00
138 0 130(50) 162(50) 0 100 220.00
139 0 32(87) 0 87 40.01
140 0 22(87) 0 87 40.00
141 0 41(13) 57(87) 0 100 80.00
142 0 133(50) 165(50) 0 100 220.00
143 0 172(13) 188(87) 0 100 240.00
144 0 166(50) 150(50) 0 100 220.00
145 0 161(13) 177(87) 0 100 240.00
146 0 35(13) 51(87) 0 100 79.99
Total Distance 20300.41
376
Table A.113: EMIP-MDA+ERTR solution to MDA20 with p = .2.
No. Route Load Distance
1 0 101(50) 113(50) 0 100 200.00
2 0 173(13) 209(87) 0 100 360.00
3 0 140(87) 128(13) 0 100 240.00
4 0 95(37) 83(63) 0 100 160.00
5 0 18(87) 0 87 40.00
6 0 198(63) 210(37) 0 100 360.00
7 0 115(87) 103(13) 0 100 200.00
8 0 97(13) 109(87) 0 100 200.00
9 0 88(87) 76(13) 0 100 160.00
10 0 157(37) 145(63) 0 100 280.00
11 0 186(87) 174(13) 0 100 320.00
12 0 207(87) 195(13) 0 100 359.99
13 0 197(63) 185(37) 0 100 340.00
14 0 72(37) 60(63) 0 100 120.01
15 0 135(37) 147(63) 0 100 259.99
16 0 76(50) 52(50) 0 100 140.00
17 0 204(50) 240(50) 0 100 400.00
18 0 132(50) 108(50) 0 100 220.00
19 0 185(50) 221(50) 0 100 380.00
20 0 112(87) 100(13) 0 100 200.00
21 0 42(87) 30(13) 0 100 80.00
22 0 135(50) 159(50) 0 100 279.99
23 0 81(50) 69(50) 0 100 140.01
24 0 74(63) 87(32) 0 95 190.00
25 0 70(37) 58(63) 0 100 120.00
26 0 43(37) 31(63) 0 100 80.00
27 0 32(63) 21(37) 0 100 66.15
28 0 7(50) 8(50) 0 100 25.18
29 0 33(13) 45(87) 0 100 80.00
30 0 122(13) 134(87) 0 100 239.99
31 0 13(18) 50(63) 27(18) 0 99 112.49
32 0 159(37) 171(63) 0 100 299.99
33 0 121(50) 97(50) 0 100 220.00
(cont.)
377
Table A.113 continued.
No. Route Load Distance
34 0 55(37) 43(50) 0 87 100.00
35 0 24(56) 36(44) 0 100 60.00
36 0 63(87) 51(13) 0 100 120.00
37 0 148(50) 172(50) 0 100 300.00
38 0 15(37) 4(63) 0 100 42.39
39 0 80(13) 92(87) 0 100 160.00
40 0 191(50) 167(50) 0 100 320.01
41 0 53(32) 77(50) 65(18) 0 100 140.00
42 0 210(50) 222(50) 0 100 380.00
43 0 90(87) 54(13) 0 100 160.01
44 0 110(87) 98(13) 0 100 200.00
45 0 226(13) 238(87) 0 100 400.00
46 0 157(50) 169(50) 0 100 300.00
47 0 202(63) 214(37) 0 100 360.00
48 0 21(50) 33(50) 0 100 60.00
49 0 195(50) 219(50) 0 100 380.00
50 0 61(87) 0 87 120.00
51 0 24(31) 23(69) 0 100 50.35
52 0 68(50) 80(50) 0 100 140.00
53 0 87(55) 99(44) 0 99 180.00
54 0 213(37) 225(63) 0 100 379.99
55 0 222(13) 234(87) 0 100 400.00
56 0 162(50) 174(50) 0 100 300.00
57 0 16(87) 0 87 40.00
58 0 98(50) 122(50) 0 100 220.00
59 0 28(50) 15(50) 0 100 66.15
60 0 64(87) 52(13) 0 100 120.00
61 0 73(13) 85(87) 0 100 160.00
62 0 166(50) 178(50) 0 100 300.00
63 0 67(87) 0 87 120.00
64 0 38(87) 0 87 80.00
65 0 219(13) 231(87) 0 100 400.00
66 0 56(63) 68(37) 0 100 119.99
(cont.)
378
Table A.113 continued.
No. Route Load Distance
67 0 114(50) 126(50) 0 100 220.01
68 0 200(50) 224(50) 0 100 380.01
69 0 12(26) 1(63) 0 89 25.18
70 0 168(50) 192(50) 0 100 320.00
71 0 71(37) 59(63) 0 100 120.00
72 0 72(50) 84(50) 0 100 140.01
73 0 169(13) 205(87) 0 100 360.00
74 0 96(87) 84(13) 0 100 160.01
75 0 34(50) 22(50) 0 100 60.00
76 0 221(13) 233(87) 0 100 400.00
77 0 119(50) 143(50) 0 100 239.99
78 0 228(63) 240(37) 0 100 400.00
79 0 173(50) 149(19) 137(31) 0 100 300.00
80 0 206(50) 218(50) 0 100 380.01
81 0 48(56) 49(44) 0 100 115.23
82 0 14(87) 0 87 40.00
83 0 176(13) 188(87) 0 100 320.00
84 0 220(50) 208(50) 0 100 380.00
85 0 103(13) 139(87) 0 100 240.00
86 0 150(63) 162(37) 0 100 280.00
87 0 9(63) 0 63 20.00
88 0 164(37) 152(63) 0 100 280.00
89 0 95(50) 71(50) 0 100 160.00
90 0 107(63) 119(37) 0 100 200.00
91 0 196(63) 208(37) 0 100 360.00
92 0 121(13) 133(87) 0 100 240.00
93 0 237(87) 201(13) 0 100 399.99
94 0 7(13) 19(87) 0 100 40.00
95 0 120(87) 108(13) 0 100 199.99
96 0 181(69) 193(31) 0 100 340.00
97 0 155(63) 167(37) 0 100 279.99
98 0 55(26) 79(63) 0 89 140.00
99 0 65(69) 53(31) 0 100 120.00
(cont.)
379
Table A.113 continued.
No. Route Load Distance
100 0 89(87) 77(13) 0 100 160.00
101 0 111(69) 99(19) 0 88 200.00
102 0 138(87) 126(13) 0 100 240.00
103 0 11(63) 12(37) 0 100 25.18
104 0 37(87) 0 87 80.00
105 0 82(13) 94(87) 0 100 160.00
106 0 129(50) 105(50) 0 100 220.01
107 0 6(63) 0 63 20.00
108 0 182(19) 170(63) 158(18) 0 100 320.01
109 0 124(50) 100(50) 0 100 220.00
110 0 191(37) 179(63) 0 100 320.01
111 0 211(50) 223(50) 0 100 380.00
112 0 40(87) 28(13) 0 100 80.00
113 0 217(13) 229(87) 0 100 400.00
114 0 131(63) 143(37) 0 100 239.99
115 0 181(18) 217(50) 193(32) 0 100 380.00
116 0 226(50) 214(50) 0 100 380.00
117 0 44(87) 0 87 80.00
118 0 49(19) 73(50) 48(31) 0 100 150.63
119 0 144(87) 132(13) 0 100 240.00
120 0 30(50) 41(19) 29(31) 0 100 90.53
121 0 183(87) 75(13) 0 100 319.99
122 0 69(37) 57(63) 0 100 120.01
123 0 129(13) 141(87) 0 100 240.00
124 0 75(50) 51(50) 0 100 140.00
125 0 206(37) 194(63) 0 100 360.01
126 0 180(63) 192(37) 0 100 320.00
127 0 200(13) 212(87) 0 100 359.99
128 0 8(13) 20(87) 0 100 40.00
129 0 148(13) 160(87) 0 100 280.00
130 0 154(63) 166(37) 0 100 280.00
131 0 5(63) 3(37) 0 100 30.00
132 0 17(87) 0 87 40.00
(cont.)
380
Table A.113 continued.
No. Route Load Distance
133 0 78(63) 66(37) 0 100 140.00
134 0 118(87) 106(13) 0 100 200.00
135 0 23(18) 35(63) 36(19) 0 100 75.53
136 0 137(56) 149(44) 0 100 260.00
137 0 161(87) 101(13) 0 100 280.00
138 0 211(37) 199(63) 0 100 360.00
139 0 124(13) 136(87) 0 100 240.00
140 0 177(50) 165(50) 0 100 300.00
141 0 176(50) 164(50) 0 100 300.00
142 0 41(68) 29(32) 0 100 80.00
143 0 184(87) 172(13) 0 100 320.00
144 0 215(50) 227(50) 0 100 380.00
145 0 163(37) 151(63) 0 100 280.00
146 0 114(37) 102(63) 0 100 200.01
147 0 117(87) 105(13) 0 100 200.01
148 0 39(87) 27(13) 0 100 80.00
149 0 216(87) 204(13) 0 100 360.00
150 0 13(37) 26(63) 0 100 66.15
151 0 25(63) 13(32) 0 95 60.00
152 0 93(87) 81(13) 0 100 160.01
153 0 62(87) 0 87 120.00
154 0 224(13) 236(87) 0 100 400.01
155 0 187(37) 175(63) 0 100 320.00
156 0 153(63) 165(37) 0 100 279.99
157 0 70(50) 82(50) 0 100 140.00
158 0 203(63) 215(37) 0 100 360.01
159 0 2(63) 3(26) 0 89 25.18
160 0 168(37) 156(63) 0 100 280.00
161 0 104(50) 128(50) 0 100 220.00
162 0 218(13) 230(87) 0 100 400.01
163 0 146(32) 182(68) 0 100 320.01
164 0 54(50) 66(50) 0 100 120.00
165 0 163(50) 187(50) 0 100 320.00
(cont.)
381
Table A.113 continued.
No. Route Load Distance
166 0 189(87) 177(13) 0 100 320.00
167 0 106(50) 130(50) 0 100 220.00
168 0 146(31) 158(69) 0 100 279.99
169 0 127(63) 103(37) 0 100 220.00
170 0 220(13) 232(87) 0 100 400.00
171 0 125(63) 113(37) 0 100 220.00
172 0 235(87) 223(13) 0 100 400.00
173 0 213(50) 201(50) 0 100 359.99
174 0 178(13) 190(87) 0 100 320.00
175 0 22(37) 10(63) 0 100 40.00
176 0 142(87) 130(13) 0 100 240.00
177 0 86(87) 27(13) 0 100 166.06
178 0 123(63) 111(18) 27(19) 0 100 220.00
179 0 47(87) 0 87 79.99
180 0 91(87) 0 87 160.00
181 0 104(13) 116(87) 0 100 200.00
182 0 227(13) 239(87) 0 100 400.00
183 0 34(13) 46(87) 0 100 80.00
Total Distance 40102.34
382
Table A.114: EMIP-MDA+ERTR solution to MDA21 with p = .2.
No. Route Load Distance
1 0 89(87) 0 87 40.01
2 0 126(87) 0 87 39.99
3 0 264(50) 263(50) 0 100 83.49
4 0 183(37) 182(63) 0 100 62.62
5 0 271(50) 270(50) 0 100 83.49
6 0 35(37) 33(63) 0 100 21.74
7 0 193(13) 265(87) 0 100 80.00
8 0 222(37) 147(63) 0 100 83.47
9 0 175(50) 173(50) 0 100 65.24
10 0 184(37) 181(63) 0 100 67.83
11 0 274(37) 202(63) 0 100 80.00
12 0 74(87) 0 87 39.99
13 0 145(50) 146(50) 0 100 62.62
14 0 232(50) 229(50) 0 100 90.45
15 0 211(13) 283(87) 0 100 80.01
16 0 233(87) 0 87 80.00
17 0 80(50) 81(50) 0 100 41.75
18 0 109(87) 0 87 40.00
19 0 216(63) 0 63 60.01
20 0 180(32) 179(63) 0 95 62.61
21 0 164(13) 236(87) 0 100 80.00
22 0 206(50) 207(50) 0 100 62.62
23 0 194(13) 266(87) 0 100 80.00
24 0 14(13) 86(87) 0 100 40.00
25 0 45(37) 44(63) 0 100 20.87
26 0 271(37) 199(63) 0 100 80.00
27 0 120(87) 0 87 39.99
28 0 113(87) 0 87 39.99
29 0 127(87) 0 87 40.00
30 0 14(50) 10(50) 0 100 23.47
31 0 192(37) 190(63) 0 100 65.23
32 0 1(63) 0 63 20.00
33 0 166(37) 167(63) 0 100 62.62
(cont.)
383
Table A.114 continued.
No. Route Load Distance
34 0 106(87) 0 87 40.00
35 0 103(87) 0 87 40.00
36 0 252(87) 0 87 80.01
37 0 246(87) 0 87 80.00
38 0 248(87) 0 87 80.00
39 0 23(63) 24(37) 0 100 20.88
40 0 238(87) 0 87 80.00
41 0 136(87) 64(13) 0 100 39.99
42 0 59(63) 58(26) 0 89 20.87
43 0 81(37) 154(63) 0 100 60.22
44 0 209(37) 208(63) 0 100 62.62
45 0 261(87) 0 87 80.00
46 0 254(50) 253(50) 0 100 83.48
47 0 19(63) 0 63 20.00
48 0 115(87) 0 87 40.00
49 0 276(37) 204(63) 0 100 79.99
50 0 10(13) 82(87) 0 100 39.99
51 0 97(37) 162(63) 0 100 67.82
52 0 263(37) 189(63) 0 100 81.69
53 0 15(31) 17(63) 0 94 21.74
54 0 251(87) 0 87 80.00
55 0 148(50) 149(50) 0 100 62.62
56 0 284(37) 212(63) 0 100 80.00
57 0 9(37) 8(63) 0 100 20.87
58 0 64(13) 137(87) 0 100 40.08
59 0 3(63) 0 63 20.01
60 0 133(37) 132(63) 0 100 41.75
61 0 210(50) 211(50) 0 100 62.62
62 0 146(13) 218(87) 0 100 80.01
63 0 219(87) 0 87 80.00
64 0 78(87) 0 87 40.00
65 0 264(37) 195(63) 0 100 83.49
66 0 156(50) 152(50) 0 100 70.40
(cont.)
384
Table A.114 continued.
No. Route Load Distance
67 0 144(87) 0 87 39.99
68 0 29(26) 27(63) 0 89 21.74
69 0 119(87) 0 87 40.00
70 0 57(37) 55(63) 0 100 21.75
71 0 124(87) 0 87 40.00
72 0 257(87) 185(13) 0 100 80.00
73 0 209(13) 280(87) 0 100 80.45
74 0 187(13) 259(87) 0 100 80.00
75 0 241(37) 168(63) 0 100 80.44
76 0 13(26) 11(63) 0 89 21.75
77 0 93(87) 0 87 40.01
78 0 184(26) 254(37) 253(37) 0 100 85.17
79 0 196(50) 197(50) 0 100 62.62
80 0 230(87) 0 87 80.00
81 0 267(87) 0 87 80.01
82 0 112(87) 0 87 40.00
83 0 225(50) 227(50) 0 100 86.97
84 0 5(37) 4(63) 0 100 20.87
85 0 200(13) 273(87) 0 100 80.44
86 0 142(87) 0 87 40.00
87 0 210(13) 282(87) 0 100 80.00
88 0 94(87) 0 87 40.00
89 0 69(63) 0 63 20.01
90 0 87(87) 0 87 39.99
91 0 26(63) 0 63 20.00
92 0 231(87) 0 87 80.00
93 0 35(26) 34(63) 0 89 20.87
94 0 183(13) 256(87) 0 100 80.45
95 0 130(50) 133(50) 0 100 45.23
96 0 200(13) 272(87) 0 100 80.00
97 0 197(13) 269(87) 0 100 80.00
98 0 129(87) 0 87 40.01
99 0 143(87) 0 87 40.01
(cont.)
385
Table A.114 continued.
No. Route Load Distance
100 0 61(50) 60(50) 0 100 20.87
101 0 100(87) 0 87 39.99
102 0 67(26) 66(63) 0 89 20.88
103 0 84(87) 0 87 39.99
104 0 223(50) 222(50) 0 100 83.49
105 0 122(87) 0 87 40.00
106 0 152(13) 224(87) 0 100 80.00
107 0 64(37) 63(63) 0 100 20.87
108 0 232(37) 158(63) 0 100 81.69
109 0 270(37) 198(63) 0 100 80.01
110 0 243(87) 0 87 80.00
111 0 5(13) 77(87) 0 100 39.99
112 0 83(87) 0 87 40.00
113 0 102(87) 0 87 39.99
114 0 277(87) 0 87 79.99
115 0 99(37) 172(63) 0 100 60.22
116 0 174(63) 0 63 60.00
117 0 40(37) 39(63) 0 100 20.87
118 0 207(13) 279(87) 0 100 80.01
119 0 123(87) 0 87 39.99
120 0 215(13) 287(87) 0 100 80.00
121 0 258(87) 186(13) 0 100 79.99
122 0 161(37) 160(63) 0 100 62.62
123 0 18(63) 0 63 20.00
124 0 116(87) 0 87 39.99
125 0 276(50) 274(50) 0 100 86.97
126 0 240(87) 169(13) 0 100 80.44
127 0 205(63) 132(24) 60(13) 0 100 60.23
128 0 111(87) 0 87 40.01
129 0 215(50) 214(50) 0 100 62.62
130 0 30(26) 32(63) 0 89 21.74
131 0 164(13) 235(87) 0 100 80.45
132 0 213(13) 285(87) 0 100 80.01
(cont.)
386
Table A.114 continued.
No. Route Load Distance
133 0 114(87) 0 87 40.00
134 0 193(50) 194(50) 0 100 62.62
135 0 88(87) 0 87 40.00
136 0 227(37) 155(63) 0 100 80.00
137 0 229(37) 157(63) 0 100 80.00
138 0 169(50) 241(50) 0 100 80.00
139 0 135(87) 0 87 39.99
140 0 156(13) 228(87) 0 100 80.00
141 0 21(37) 22(63) 0 100 20.87
142 0 95(87) 0 87 39.99
143 0 244(87) 0 87 80.00
144 0 206(13) 278(87) 0 100 80.00
145 0 43(63) 45(26) 0 89 21.75
146 0 239(87) 0 87 80.00
147 0 76(87) 5(13) 0 100 40.08
148 0 188(50) 187(50) 0 100 62.61
149 0 164(37) 163(63) 0 100 62.62
150 0 65(63) 0 63 20.00
151 0 67(37) 68(63) 0 100 20.87
152 0 166(26) 165(63) 0 89 62.61
153 0 284(50) 213(50) 0 100 80.45
154 0 98(50) 99(50) 0 100 41.73
155 0 96(87) 0 87 40.00
156 0 2(63) 0 63 20.00
157 0 24(26) 25(63) 0 89 20.87
158 0 214(13) 286(87) 0 100 80.01
159 0 53(26) 54(63) 0 89 20.88
160 0 47(26) 46(63) 0 89 20.87
161 0 105(87) 0 87 39.99
162 0 262(87) 0 87 80.00
163 0 91(87) 0 87 40.00
164 0 92(87) 0 87 39.99
165 0 180(31) 176(63) 0 94 70.42
(cont.)
387
Table A.114 continued.
No. Route Load Distance
166 0 140(87) 0 87 40.00
167 0 15(32) 16(63) 0 95 20.87
168 0 134(87) 61(13) 0 100 40.07
169 0 173(13) 245(87) 0 100 80.00
170 0 175(13) 247(87) 0 100 80.00
171 0 75(87) 0 87 40.01
172 0 90(87) 0 87 39.99
173 0 188(13) 260(87) 0 100 80.00
174 0 177(13) 249(87) 0 100 80.00
175 0 139(87) 0 87 40.00
176 0 28(63) 29(37) 0 100 20.87
177 0 40(26) 41(63) 0 89 20.87
178 0 85(87) 0 87 40.00
179 0 110(87) 0 87 39.99
180 0 117(87) 0 87 39.99
181 0 226(87) 0 87 79.99
182 0 225(37) 153(63) 0 100 80.00
183 0 288(87) 0 87 80.01
184 0 21(26) 20(63) 0 89 20.88
185 0 149(13) 221(87) 0 100 80.00
186 0 50(26) 51(63) 0 89 20.88
187 0 12(63) 13(37) 0 100 20.88
188 0 170(13) 242(87) 0 100 80.00
189 0 196(13) 268(87) 0 100 80.01
190 0 38(63) 37(37) 0 100 20.87
191 0 57(26) 56(63) 0 89 20.88
192 0 108(87) 0 87 39.99
193 0 118(87) 0 87 39.99
194 0 71(37) 72(63) 0 100 20.88
195 0 170(50) 97(50) 0 100 60.24
196 0 79(87) 0 87 40.00
197 0 71(26) 70(63) 0 89 20.87
198 0 178(13) 250(87) 0 100 80.01
(cont.)
388
Table A.114 continued.
No. Route Load Distance
199 0 237(87) 0 87 79.99
200 0 50(37) 49(63) 0 100 20.87
201 0 200(37) 201(63) 0 100 62.62
202 0 209(13) 281(87) 0 100 80.01
203 0 141(87) 0 87 39.99
204 0 223(37) 150(63) 0 100 80.44
205 0 128(87) 0 87 39.99
206 0 234(87) 0 87 80.01
207 0 30(37) 31(63) 0 100 20.88
208 0 121(87) 0 87 40.00
209 0 125(87) 0 87 40.01
210 0 98(37) 171(63) 0 100 60.22
211 0 53(37) 52(63) 0 100 20.87
212 0 183(13) 255(87) 0 100 79.99
213 0 101(87) 0 87 40.00
214 0 161(26) 159(63) 0 89 65.22
215 0 138(87) 0 87 39.99
216 0 145(13) 217(87) 0 100 80.00
217 0 275(87) 0 87 80.00
218 0 192(26) 191(63) 0 89 62.62
219 0 104(87) 0 87 40.00
220 0 178(50) 177(50) 0 100 62.61
221 0 130(37) 203(63) 0 100 60.23
222 0 6(63) 0 63 20.00
223 0 37(26) 36(63) 0 89 20.87
224 0 148(13) 220(87) 0 100 80.00
225 0 185(50) 186(50) 0 100 62.62
226 0 9(26) 7(63) 0 89 21.75
227 0 62(63) 58(37) 0 100 23.46
228 0 131(87) 0 87 39.99
229 0 73(87) 0 87 40.00
230 0 42(63) 0 63 20.00
231 0 48(63) 47(37) 0 100 20.87
232 0 80(37) 151(63) 0 100 60.22
233 0 107(87) 0 87 40.01
Total Distance 12438.63
389
Table A.115: EMIP-MDA+ERTR solution to MDA1 with p = .3.
No. Route Load Distance
1 0 1(50) 2(50) 0 100 34.14
2 0 3(50) 4(50) 0 100 34.14
3 0 1(22) 5(78) 0 100 40.00
4 0 2(22) 6(78) 0 100 40.00
5 0 3(22) 7(78) 0 100 40.00
6 0 4(22) 8(78) 0 100 40.00
Total Distance 228.28
Table A.116: EMIP-MDA+ERTR solution to MDA2 with p = .3.
No. Route Load Distance
1 0 13(78) 1(22) 0 100 80.00
2 0 6(28) 2(72) 0 100 40.00
3 0 11(50) 3(50) 0 100 60.00
4 0 8(50) 4(50) 0 100 40.00
5 0 1(22) 5(78) 0 100 40.00
6 0 3(22) 7(78) 0 100 40.00
7 0 1(28) 9(72) 0 100 60.00
8 0 6(50) 10(50) 0 100 60.00
9 0 8(28) 12(72) 0 100 60.00
10 0 10(22) 14(78) 0 100 80.00
11 0 11(22) 15(78) 0 100 80.00
12 0 4(22) 16(78) 0 100 80.00
Total Distance 720.00
390
Table A.117: EMIP-MDA+ERTR solution to MDA3 with p = .3.
No. Route Load Distance
1 0 9(78) 1(22) 0 100 40.00
2 0 3(50) 2(50) 0 100 27.65
3 0 11(78) 3(22) 0 100 40.00
4 0 5(50) 4(50) 0 100 27.65
5 0 7(50) 6(50) 0 100 27.65
6 0 1(50) 8(50) 0 100 27.65
7 0 2(22) 10(78) 0 100 39.99
8 0 4(22) 12(78) 0 100 39.99
9 0 5(22) 13(78) 0 100 40.00
10 0 6(22) 14(78) 0 100 39.99
11 0 7(22) 15(78) 0 100 40.00
12 0 8(22) 16(78) 0 100 39.99
Total Distance 430.58
Table A.118: EMIP-MDA+ERTR solution to MDA4 with p = .3.
No. Route Load Distance
1 0 2(50) 1(50) 0 100 25.18
2 0 3(50) 4(50) 0 100 25.18
3 0 6(50) 5(50) 0 100 25.18
4 0 8(50) 7(50) 0 100 25.18
5 0 20(78) 8(22) 0 100 40.00
6 0 21(78) 9(22) 0 100 40.00
7 0 9(50) 10(50) 0 100 25.18
8 0 12(50) 11(50) 0 100 25.18
9 0 1(22) 13(78) 0 100 40.00
10 0 2(22) 14(78) 0 100 40.00
11 0 3(22) 15(78) 0 100 40.00
12 0 4(22) 16(78) 0 100 40.00
13 0 5(22) 17(78) 0 100 40.00
14 0 6(22) 18(78) 0 100 40.00
15 0 7(22) 19(78) 0 100 40.00
16 0 10(22) 22(78) 0 100 40.00
17 0 11(22) 23(78) 0 100 40.00
18 0 12(22) 24(78) 0 100 40.00
Total Distance 631.05
391
Table A.119: EMIP-MDA+ERTR solution to MDA5 with p = .3.
No. Route Load Distance
1 0 9(78) 1(22) 0 100 40.00
2 0 1(50) 2(50) 0 100 27.65
3 0 3(50) 4(50) 0 100 27.65
4 0 13(78) 5(22) 0 100 40.00
5 0 5(50) 6(50) 0 100 27.65
6 0 8(50) 7(50) 0 100 27.65
7 0 16(78) 8(22) 0 100 39.99
8 0 2(22) 10(78) 0 100 39.99
9 0 3(22) 11(78) 0 100 40.00
10 0 4(22) 12(78) 0 100 39.99
11 0 6(22) 14(78) 0 100 39.99
12 0 7(22) 15(78) 0 100 40.00
13 0 25(78) 17(22) 0 100 80.00
14 0 17(50) 18(50) 0 100 82.95
15 0 19(50) 20(50) 0 100 82.95
16 0 22(50) 21(50) 0 100 82.96
17 0 30(78) 22(22) 0 100 80.00
18 0 31(78) 23(22) 0 100 80.00
19 0 23(50) 24(50) 0 100 82.96
20 0 18(22) 26(78) 0 100 79.99
21 0 19(22) 27(78) 0 100 80.00
22 0 20(22) 28(78) 0 100 80.00
23 0 21(22) 29(78) 0 100 80.00
24 0 24(22) 32(78) 0 100 80.00
Total Distance 1402.40
392
Table A.120: EMIP-MDA+ERTR solution to MDA6 with p = .3.
No. Route Load Distance
1 0 1(50) 2(50) 0 100 23.91
2 0 3(50) 4(50) 0 100 23.90
3 0 5(50) 6(50) 0 100 23.91
4 0 23(78) 7(22) 0 100 39.99
5 0 7(50) 8(50) 0 100 23.90
6 0 25(78) 9(22) 0 100 40.00
7 0 9(50) 10(50) 0 100 23.91
8 0 12(50) 11(50) 0 100 23.90
9 0 29(78) 13(22) 0 100 40.00
10 0 13(50) 14(50) 0 100 23.91
11 0 31(78) 15(22) 0 100 39.99
12 0 15(50) 16(50) 0 100 23.90
13 0 1(22) 17(78) 0 100 40.00
14 0 2(22) 18(78) 0 100 40.00
15 0 3(22) 19(78) 0 100 39.99
16 0 4(22) 20(78) 0 100 40.00
17 0 5(22) 21(78) 0 100 40.00
18 0 6(22) 22(78) 0 100 40.00
19 0 8(22) 24(78) 0 100 40.01
20 0 10(22) 26(78) 0 100 40.00
21 0 11(22) 27(78) 0 100 39.99
22 0 12(22) 28(78) 0 100 40.01
23 0 14(22) 30(78) 0 100 40.00
24 0 16(22) 32(78) 0 100 40.01
Total Distance 831.24
393
Table A.121: EMIP-MDA+ERTR solution to MDA7 with p = .3.
No. Route Load Distance
1 0 5(78) 1(22) 0 100 40.00
2 0 3(50) 2(50) 0 100 34.14
3 0 1(50) 4(50) 0 100 34.14
4 0 2(22) 6(78) 0 100 40.00
5 0 3(22) 7(78) 0 100 40.00
6 0 4(22) 8(78) 0 100 40.00
7 0 13(28) 9(72) 0 100 80.00
8 0 16(28) 12(72) 0 100 80.00
9 0 17(50) 13(50) 0 100 100.00
10 0 10(72) 14(28) 0 100 80.00
11 0 11(50) 15(50) 0 100 80.00
12 0 20(50) 16(50) 0 100 100.00
13 0 21(78) 17(22) 0 100 120.00
14 0 14(50) 18(50) 0 100 100.00
15 0 15(28) 19(72) 0 100 100.00
16 0 18(22) 22(78) 0 100 120.00
17 0 11(22) 23(78) 0 100 120.00
18 0 20(22) 24(78) 0 100 120.00
19 0 33(50) 25(50) 0 100 180.00
20 0 30(28) 26(72) 0 100 160.00
21 0 32(28) 28(72) 0 100 160.00
22 0 25(22) 29(78) 0 100 160.00
23 0 27(72) 31(28) 0 100 160.00
24 0 36(50) 32(50) 0 100 180.00
25 0 30(50) 34(50) 0 100 180.00
26 0 31(50) 35(50) 0 100 180.00
27 0 40(78) 36(22) 0 100 200.00
28 0 33(22) 37(78) 0 100 200.00
29 0 34(22) 38(78) 0 100 200.00
30 0 35(22) 39(78) 0 100 200.00
Total Distance 3588.28
394
Table A.122: EMIP-MDA+ERTR solution to MDA8 with p = .3.
No. Route Load Distance
1 0 5(78) 1(22) 0 100 40.00
2 0 11(50) 3(50) 0 100 60.00
3 0 8(50) 4(50) 0 100 40.00
4 0 2(22) 6(78) 0 100 40.00
5 0 3(22) 7(78) 0 100 40.00
6 0 12(72) 8(28) 0 100 60.00
7 0 1(28) 9(72) 0 100 60.00
8 0 2(50) 10(50) 0 100 60.00
9 0 1(22) 13(78) 0 100 80.00
10 0 10(22) 14(78) 0 100 80.00
11 0 11(22) 15(78) 0 100 80.00
12 0 4(22) 16(78) 0 100 80.00
13 0 21(28) 17(72) 0 100 120.00
14 0 30(78) 18(22) 0 100 160.00
15 0 23(28) 19(72) 0 100 120.00
16 0 24(28) 20(72) 0 100 120.00
17 0 25(50) 21(50) 0 100 140.00
18 0 18(50) 22(50) 0 100 120.00
19 0 27(50) 23(50) 0 100 140.00
20 0 29(78) 25(22) 0 100 160.00
21 0 22(28) 26(72) 0 100 140.00
22 0 31(78) 27(22) 0 100 160.00
23 0 24(50) 28(50) 0 100 140.00
24 0 28(22) 32(78) 0 100 160.00
25 0 37(78) 33(22) 0 100 200.00
26 0 42(50) 34(50) 0 100 220.00
27 0 48(78) 36(22) 0 100 240.00
28 0 34(22) 38(78) 0 100 200.00
29 0 35(72) 39(28) 0 100 200.00
30 0 36(50) 40(50) 0 100 200.00
31 0 33(50) 41(50) 0 100 220.00
32 0 39(50) 43(50) 0 100 220.00
33 0 40(28) 44(72) 0 100 220.00
34 0 41(22) 45(78) 0 100 240.00
35 0 42(22) 46(78) 0 100 240.00
36 0 43(22) 47(78) 0 100 240.00
Total Distance 5040.00
395
Table A.123: EMIP-MDA+ERTR solution to MDA9 with p = .3.
No. Route Load Distance
1 0 1(22) 13(78) 0 100 40.00
2 0 1(50) 2(50) 0 100 25.18
3 0 3(50) 4(50) 0 100 25.18
4 0 17(78) 5(22) 0 100 40.00
5 0 18(78) 6(22) 0 100 40.00
6 0 5(50) 6(50) 0 100 25.18
7 0 9(50) 8(50) 0 100 25.18
8 0 9(22) 21(78) 0 100 40.00
9 0 11(50) 10(50) 0 100 25.18
10 0 23(78) 11(22) 0 100 40.00
11 0 12(22) 24(28) 12(50) 0 100 40.00
12 0 2(22) 14(78) 0 100 40.00
13 0 15(78) 3(22) 0 100 40.00
14 0 16(78) 4(22) 0 100 40.00
15 0 30(50) 29(50) 0 100 75.53
16 0 7(72) 19(28) 0 100 40.00
17 0 8(22) 20(78) 0 100 40.00
18 0 10(22) 22(78) 0 100 40.00
19 0 36(50) 24(50) 0 100 60.00
20 0 26(50) 25(50) 0 100 75.53
21 0 39(78) 27(22) 0 100 80.00
22 0 27(50) 28(50) 0 100 75.53
23 0 41(78) 29(22) 0 100 80.00
24 0 19(50) 31(50) 0 100 60.00
25 0 43(78) 31(22) 0 100 80.00
26 0 32(50) 33(50) 0 100 75.53
27 0 45(78) 33(22) 0 100 80.00
28 0 35(50) 34(50) 0 100 75.53
29 0 37(78) 25(22) 0 100 80.00
30 0 26(22) 38(78) 0 100 80.00
31 0 40(78) 28(22) 0 100 80.00
32 0 30(22) 42(78) 0 100 80.00
33 0 44(78) 32(22) 0 100 80.00
34 0 34(22) 46(78) 0 100 80.00
35 0 35(22) 47(78) 0 100 79.99
36 0 36(22) 48(78) 0 100 80.01
Total Distance 2063.50
396
Table A.124: EMIP-MDA+ERTR solution to MDA10 with p = .3.
No. Route Load Distance
1 0 20(78) 4(22) 0 100 40.00
2 0 36(50) 35(50) 0 100 71.71
3 0 19(78) 3(22) 0 100 39.99
4 0 40(50) 39(50) 0 100 71.71
5 0 38(50) 37(50) 0 100 71.71
6 0 22(78) 6(22) 0 100 40.00
7 0 8(72) 9(28) 0 100 23.91
8 0 10(72) 26(28) 0 100 40.00
9 0 34(50) 33(50) 0 100 71.71
10 0 27(78) 11(22) 0 100 39.99
11 0 42(50) 41(50) 0 100 71.71
12 0 31(78) 15(22) 0 100 39.99
13 0 11(50) 26(50) 0 100 41.42
14 0 18(78) 2(22) 0 100 40.00
15 0 16(22) 32(78) 0 100 40.01
16 0 7(22) 23(78) 0 100 39.99
17 0 5(22) 21(78) 0 100 40.00
18 0 24(78) 9(22) 0 100 41.43
19 0 9(22) 25(78) 0 100 40.00
20 0 12(22) 28(78) 0 100 40.01
21 0 48(22) 64(78) 0 100 79.99
22 0 30(78) 14(22) 0 100 40.00
23 0 48(50) 47(50) 0 100 71.70
24 0 6(50) 7(50) 0 100 23.90
25 0 5(50) 4(50) 0 100 23.91
26 0 12(50) 13(50) 0 100 23.91
27 0 56(78) 40(22) 0 100 79.99
28 0 3(50) 2(50) 0 100 23.90
29 0 37(22) 53(78) 0 100 80.00
30 0 15(50) 14(50) 0 100 23.90
31 0 16(50) 1(50) 0 100 23.91
32 0 43(50) 44(50) 0 100 71.71
33 0 46(72) 45(28) 0 100 71.71
(cont.)
397
Table A.124 continued.
No. Route Load Distance
34 0 63(78) 47(22) 0 100 80.00
35 0 17(78) 1(22) 0 100 40.00
36 0 33(22) 49(78) 0 100 80.00
37 0 34(22) 50(78) 0 100 80.01
38 0 35(22) 51(78) 0 100 79.99
39 0 52(78) 36(22) 0 100 79.99
40 0 55(78) 39(22) 0 100 80.00
41 0 38(22) 54(78) 0 100 80.01
42 0 41(22) 57(78) 0 100 80.00
43 0 43(22) 59(78) 0 100 80.00
44 0 58(78) 42(22) 0 100 80.00
45 0 45(22) 61(78) 0 100 80.00
46 0 44(22) 60(78) 0 100 79.99
47 0 45(22) 62(78) 0 100 86.81
48 0 13(22) 29(78) 0 100 40.00
Total Distance 2710.64
398
Table A.125: EMIP-MDA+ERTR solution to MDA11 with p = .3.
No. Route Load Distance
1 0 9(50) 5(28) 1(22) 0 100 60.00
2 0 11(50) 3(50) 0 100 60.00
3 0 1(50) 4(50) 0 100 34.14
4 0 5(50) 0 50 40.00
5 0 2(48) 6(52) 0 100 40.00
6 0 3(22) 7(78) 0 100 40.00
7 0 4(22) 8(78) 0 100 40.00
8 0 21(50) 25(50) 0 100 140.00
9 0 2(24) 6(26) 10(50) 0 100 60.00
10 0 15(78) 11(22) 0 100 80.00
11 0 12(72) 0 72 60.00
12 0 9(22) 13(78) 0 100 80.00
13 0 10(22) 14(78) 0 100 80.00
14 0 22(28) 18(72) 0 100 120.00
15 0 31(78) 19(22) 0 100 160.00
16 0 24(50) 20(50) 0 100 120.00
17 0 17(72) 21(28) 0 100 120.00
18 0 26(50) 22(50) 0 100 140.00
19 0 19(50) 23(50) 0 100 120.00
20 0 16(78) 0 78 80.00
21 0 29(78) 25(22) 0 100 160.00
22 0 20(22) 24(28) 28(50) 0 100 140.00
23 0 26(22) 30(78) 0 100 160.00
24 0 23(28) 27(72) 0 100 140.00
25 0 37(24) 41(50) 33(26) 0 100 220.00
26 0 38(78) 34(22) 0 100 200.00
27 0 39(28) 35(72) 0 100 200.00
28 0 28(22) 32(78) 0 100 160.00
29 0 33(46) 37(54) 0 100 200.00
30 0 43(50) 39(50) 0 100 220.00
31 0 36(50) 40(50) 0 100 200.00
32 0 77(78) 41(22) 0 100 400.00
33 0 34(50) 42(50) 0 100 220.00
(cont.)
399
Table A.125 continued.
No. Route Load Distance
34 0 36(22) 40(28) 44(50) 0 100 220.00
35 0 49(26) 53(50) 45(24) 0 100 280.00
36 0 46(78) 42(22) 0 100 240.00
37 0 43(22) 47(78) 0 100 240.00
38 0 44(22) 48(78) 0 100 240.00
39 0 45(54) 49(46) 0 100 260.00
40 0 58(72) 62(28) 0 100 320.00
41 0 55(50) 51(50) 0 100 280.00
42 0 72(78) 52(22) 0 100 360.00
43 0 57(72) 53(28) 0 100 300.00
44 0 62(50) 54(50) 0 100 320.00
45 0 52(50) 56(50) 0 100 280.00
46 0 50(72) 54(28) 0 100 280.00
47 0 55(28) 59(72) 0 100 300.00
48 0 64(28) 60(72) 0 100 320.00
49 0 65(72) 61(28) 0 100 340.00
50 0 51(22) 63(78) 0 100 320.00
51 0 68(50) 64(50) 0 100 340.00
52 0 70(28) 66(72) 0 100 360.00
53 0 71(50) 67(50) 0 100 360.00
54 0 80(78) 68(22) 0 100 400.00
55 0 61(50) 69(50) 0 100 360.00
56 0 56(28) 76(72) 0 100 380.00
57 0 69(28) 73(72) 0 100 380.00
58 0 70(50) 74(50) 0 100 380.00
59 0 71(28) 75(72) 0 100 380.00
60 0 78(78) 74(22) 0 100 400.00
61 0 67(22) 79(78) 0 100 400.00
Total Distance 13334.14
400
Table A.126: EMIP-MDA+ERTR solution to MDA12 with p = .3.
No. Route Load Distance
1 0 28(50) 36(50) 0 100 100.00
2 0 12(78) 4(22) 0 100 39.99
3 0 6(50) 5(50) 0 100 27.65
4 0 68(50) 52(50) 0 100 180.00
5 0 13(78) 5(22) 0 100 40.00
6 0 67(50) 51(50) 0 100 180.00
7 0 14(78) 6(22) 0 100 39.99
8 0 18(22) 42(78) 0 100 120.01
9 0 8(22) 16(78) 0 100 39.99
10 0 7(22) 15(78) 0 100 40.00
11 0 3(22) 11(78) 0 100 40.00
12 0 17(22) 41(78) 0 100 120.00
13 0 1(22) 9(78) 0 100 40.00
14 0 74(78) 66(22) 0 100 200.00
15 0 4(50) 3(50) 0 100 27.65
16 0 21(72) 29(28) 0 100 80.00
17 0 20(72) 28(28) 0 100 80.00
18 0 22(72) 30(28) 0 100 80.00
19 0 23(72) 31(28) 0 100 80.00
20 0 24(72) 32(28) 0 100 80.00
21 0 25(50) 17(50) 0 100 80.00
22 0 57(50) 49(50) 0 100 160.00
23 0 80(78) 72(22) 0 100 200.00
24 0 35(50) 19(50) 0 100 100.00
25 0 39(50) 31(50) 0 100 100.00
26 0 46(50) 62(50) 0 100 160.00
27 0 1(50) 2(50) 0 100 27.65
28 0 25(28) 33(72) 0 100 100.00
29 0 50(72) 58(28) 0 100 160.00
30 0 44(78) 36(22) 0 100 120.00
31 0 77(78) 53(22) 0 100 200.00
32 0 38(22) 78(78) 0 100 200.00
33 0 38(50) 30(50) 0 100 100.00
(cont.)
401
Table A.126 continued.
No. Route Load Distance
34 0 57(28) 65(50) 49(22) 0 100 180.00
35 0 37(50) 29(50) 0 100 100.00
36 0 61(50) 53(50) 0 100 160.00
37 0 39(22) 47(78) 0 100 120.00
38 0 18(22) 26(78) 0 100 79.99
39 0 67(22) 75(78) 0 100 200.00
40 0 34(72) 18(28) 0 100 100.00
41 0 27(78) 19(22) 0 100 80.00
42 0 60(78) 52(22) 0 100 159.99
43 0 37(22) 45(78) 0 100 120.00
44 0 62(28) 70(72) 0 100 180.00
45 0 43(78) 35(22) 0 100 120.00
46 0 66(50) 58(50) 0 100 180.00
47 0 7(50) 8(50) 0 100 27.65
48 0 69(72) 61(28) 0 100 180.00
49 0 55(72) 63(28) 0 100 160.00
50 0 56(72) 64(28) 0 100 160.00
51 0 65(22) 73(78) 0 100 200.00
52 0 40(22) 48(78) 0 100 120.00
53 0 40(50) 32(50) 0 100 100.00
54 0 76(78) 68(22) 0 100 200.01
55 0 46(28) 54(72) 0 100 139.99
56 0 63(50) 71(50) 0 100 180.00
57 0 72(50) 64(50) 0 100 180.00
58 0 51(22) 59(78) 0 100 160.00
59 0 71(22) 79(78) 0 100 200.00
60 0 2(22) 10(78) 0 100 39.99
Total Distance 7170.58
402
Table A.127: EMIP-MDA+ERTR solution to MDA13 with p = .3.
No. Route Load Distance
1 0 13(28) 5(72) 0 100 40.00
2 0 2(22) 10(78) 0 100 39.99
3 0 18(22) 26(78) 0 100 79.99
4 0 4(72) 0 72 20.00
5 0 50(50) 42(50) 0 100 140.01
6 0 13(50) 21(50) 0 100 60.00
7 0 2(50) 3(50) 0 100 27.65
8 0 1(72) 0 72 20.00
9 0 17(22) 25(78) 0 100 80.00
10 0 8(72) 16(28) 0 100 39.99
11 0 16(50) 24(50) 0 100 60.01
12 0 62(78) 38(22) 0 100 160.00
13 0 23(22) 31(78) 0 100 80.00
14 0 18(50) 17(50) 0 100 82.95
15 0 23(50) 22(50) 0 100 82.97
16 0 19(22) 27(78) 0 100 80.00
17 0 12(28) 20(72) 0 100 59.99
18 0 15(78) 7(22) 0 100 40.00
19 0 7(50) 6(50) 0 100 27.65
20 0 30(78) 22(22) 0 100 80.00
21 0 32(78) 24(22) 0 100 80.00
22 0 3(22) 11(78) 0 100 40.00
23 0 28(78) 0 78 80.00
24 0 6(22) 14(78) 0 100 39.99
25 0 49(22) 57(78) 0 100 160.00
26 0 42(28) 34(72) 0 100 120.01
27 0 43(28) 35(72) 0 100 120.00
28 0 9(78) 0 78 40.00
29 0 45(28) 37(72) 0 100 120.00
30 0 78(28) 70(72) 0 100 200.00
31 0 47(50) 55(50) 0 100 140.00
32 0 40(22) 48(78) 0 100 120.00
33 0 65(50) 81(50) 0 100 220.00
(cont.)
403
Table A.127 continued.
No. Route Load Distance
34 0 12(50) 19(50) 0 100 71.25
35 0 75(50) 43(50) 0 100 200.00
36 0 44(50) 52(50) 0 100 139.99
37 0 38(50) 46(50) 0 100 120.00
38 0 39(72) 47(28) 0 100 120.00
39 0 41(50) 49(50) 0 100 140.00
40 0 50(22) 58(78) 0 100 160.00
41 0 91(78) 51(22) 0 100 240.00
42 0 68(50) 76(50) 0 100 200.01
43 0 53(50) 45(50) 0 100 140.00
44 0 96(78) 72(22) 0 100 240.01
45 0 51(22) 59(78) 0 100 160.00
46 0 36(72) 44(28) 0 100 120.00
47 0 53(22) 61(78) 0 100 160.00
48 0 29(78) 21(22) 0 100 80.00
49 0 71(22) 95(78) 0 100 240.00
50 0 40(50) 56(50) 0 100 140.01
51 0 81(22) 89(78) 0 100 240.00
52 0 74(52) 66(48) 0 100 200.00
53 0 51(28) 67(72) 0 100 180.00
54 0 92(78) 68(22) 0 100 240.01
55 0 77(50) 69(50) 0 100 200.00
56 0 87(72) 71(28) 0 100 220.00
57 0 80(50) 72(50) 0 100 200.00
58 0 82(50) 74(26) 66(24) 0 100 220.00
59 0 83(72) 75(28) 0 100 220.00
60 0 52(22) 60(78) 0 100 159.99
61 0 54(72) 46(28) 0 100 139.99
62 0 71(22) 79(78) 0 100 200.00
63 0 41(28) 33(72) 0 100 120.00
64 0 76(28) 84(72) 0 100 220.01
65 0 77(28) 85(72) 0 100 220.00
66 0 78(50) 86(50) 0 100 220.00
(cont.)
404
Table A.127 continued.
No. Route Load Distance
67 0 80(28) 88(72) 0 100 220.00
68 0 65(22) 73(78) 0 100 200.00
69 0 82(22) 90(78) 0 100 239.99
70 0 69(22) 93(78) 0 100 240.00
71 0 86(22) 94(78) 0 100 239.99
72 0 55(22) 63(78) 0 100 160.00
73 0 64(78) 56(22) 0 100 160.00
Total Distance 10112.44
405
Table A.128: EMIP-MDA+ERTR solution to MDA14 with p = .3.
No. Route Load Distance
1 0 10(22) 22(78) 0 100 40.00
2 0 27(22) 39(78) 0 100 80.00
3 0 62(78) 50(22) 0 100 120.00
4 0 21(78) 9(22) 0 100 40.00
5 0 25(72) 37(28) 0 100 80.00
6 0 4(28) 3(72) 0 100 25.18
7 0 58(72) 70(28) 0 100 120.00
8 0 94(50) 106(50) 0 100 180.00
9 0 109(78) 97(22) 0 100 200.00
10 0 23(50) 24(50) 0 100 50.35
11 0 47(28) 60(72) 0 100 115.22
12 0 2(22) 14(78) 0 100 40.00
13 0 8(22) 20(78) 0 100 40.00
14 0 77(22) 89(78) 0 100 160.00
15 0 11(72) 0 72 20.00
16 0 117(78) 105(22) 0 100 200.01
17 0 10(50) 9(50) 0 100 25.18
18 0 13(78) 2(22) 0 100 42.39
19 0 4(22) 15(78) 0 100 42.39
20 0 44(50) 56(50) 0 100 100.00
21 0 108(50) 84(50) 0 100 179.99
22 0 105(50) 81(50) 0 100 180.01
23 0 42(28) 30(72) 0 100 80.00
24 0 80(72) 92(28) 0 100 160.00
25 0 43(28) 31(72) 0 100 80.00
26 0 73(72) 61(28) 0 100 140.00
27 0 53(50) 29(50) 0 100 100.00
28 0 46(28) 34(72) 0 100 80.00
29 0 94(28) 82(72) 0 100 160.00
30 0 40(28) 28(72) 0 100 80.00
31 0 51(22) 63(78) 0 100 120.00
32 0 91(50) 79(50) 0 100 160.00
33 0 55(50) 43(50) 0 100 100.00
(cont.)
406
Table A.128 continued.
No. Route Load Distance
34 0 70(50) 46(50) 0 100 120.00
35 0 98(22) 110(78) 0 100 200.00
36 0 1(72) 2(28) 0 100 25.18
37 0 48(78) 0 78 80.01
38 0 49(50) 37(50) 0 100 100.00
39 0 77(22) 113(78) 0 100 200.00
40 0 88(28) 76(72) 0 100 160.00
41 0 42(50) 54(50) 0 100 100.00
42 0 33(50) 57(50) 0 100 100.01
43 0 90(50) 102(50) 0 100 180.01
44 0 26(22) 38(78) 0 100 80.00
45 0 12(72) 0 72 20.00
46 0 86(78) 74(22) 0 100 160.00
47 0 6(22) 18(78) 0 100 40.00
48 0 100(50) 88(50) 0 100 180.00
49 0 45(78) 33(22) 0 100 80.00
50 0 29(22) 41(78) 0 100 80.00
51 0 54(22) 66(78) 0 100 120.00
52 0 79(22) 115(78) 0 100 200.00
53 0 81(22) 93(78) 0 100 160.01
54 0 40(50) 64(50) 0 100 120.00
55 0 23(28) 35(72) 0 100 60.00
56 0 8(50) 7(50) 0 100 25.18
57 0 74(50) 98(50) 0 100 180.00
58 0 75(22) 111(78) 0 100 200.00
59 0 64(28) 52(72) 0 100 120.00
60 0 67(78) 55(22) 0 100 120.00
61 0 101(72) 77(28) 0 100 180.01
62 0 69(78) 57(22) 0 100 120.01
63 0 44(28) 32(72) 0 100 80.00
64 0 84(22) 96(78) 0 100 160.01
65 0 83(28) 107(72) 0 100 180.00
66 0 108(22) 120(78) 0 100 199.99
(cont.)
407
Table A.128 continued.
No. Route Load Distance
67 0 5(50) 6(50) 0 100 25.18
68 0 5(22) 17(78) 0 100 40.00
69 0 75(22) 87(78) 0 100 160.00
70 0 53(22) 65(78) 0 100 120.00
71 0 104(50) 92(50) 0 100 180.00
72 0 24(28) 36(72) 0 100 60.00
73 0 106(22) 118(78) 0 100 200.00
74 0 85(78) 49(22) 0 100 160.00
75 0 75(28) 99(72) 0 100 180.00
76 0 61(50) 97(50) 0 100 180.00
77 0 91(28) 103(72) 0 100 180.00
78 0 27(50) 51(50) 0 100 100.00
79 0 90(28) 78(72) 0 100 160.01
80 0 47(50) 71(50) 0 100 120.00
81 0 16(78) 4(22) 0 100 40.00
82 0 119(78) 83(22) 0 100 200.00
83 0 59(72) 71(28) 0 100 120.00
84 0 26(50) 50(50) 0 100 100.00
85 0 19(78) 7(22) 0 100 40.00
86 0 72(78) 0 78 120.01
87 0 100(22) 112(78) 0 100 200.00
88 0 102(22) 114(78) 0 100 200.01
89 0 104(22) 116(78) 0 100 200.00
90 0 56(22) 68(78) 0 100 119.99
91 0 95(78) 83(22) 0 100 160.00
Total Distance 10836.25
408
Table A.129: EMIP-MDA+ERTR solution to MDA15 with p = .3.
No. Route Load Distance
1 0 6(72) 0 72 20.00
2 0 43(78) 31(22) 0 100 80.00
3 0 37(78) 25(22) 0 100 80.00
4 0 61(50) 73(50) 0 100 140.00
5 0 21(28) 10(72) 0 100 42.39
6 0 8(22) 20(78) 0 100 40.00
7 0 74(50) 50(50) 0 100 140.00
8 0 18(28) 30(72) 0 100 60.00
9 0 36(22) 48(78) 0 100 80.01
10 0 27(50) 16(50) 0 100 66.15
11 0 21(50) 33(50) 0 100 60.00
12 0 29(50) 18(50) 0 100 66.15
13 0 55(72) 67(28) 0 100 120.00
14 0 11(50) 12(50) 0 100 25.18
15 0 35(50) 34(50) 0 100 75.53
16 0 5(22) 17(78) 0 100 40.00
17 0 1(72) 0 72 20.00
18 0 22(78) 9(22) 0 100 42.39
19 0 47(78) 35(22) 0 100 79.99
20 0 86(78) 74(22) 0 100 160.00
21 0 33(22) 45(78) 0 100 80.00
22 0 51(72) 63(28) 0 100 120.00
23 0 92(24) 104(72) 0 96 180.00
24 0 16(28) 28(72) 0 100 60.00
25 0 4(50) 5(50) 0 100 25.18
26 0 68(50) 44(50) 0 100 119.99
27 0 13(78) 0 78 40.00
28 0 40(24) 52(72) 0 96 100.00
29 0 26(22) 38(78) 0 100 80.00
30 0 14(28) 2(72) 0 100 40.00
31 0 23(78) 11(22) 0 100 40.00
32 0 126(72) 114(28) 0 100 220.01
33 0 8(50) 9(50) 0 100 25.18
(cont.)
409
Table A.129 continued.
No. Route Load Distance
34 0 19(78) 0 78 40.00
35 0 34(22) 46(78) 0 100 80.00
36 0 12(22) 24(78) 0 100 40.00
37 0 65(28) 53(72) 0 100 120.00
38 0 61(28) 49(72) 0 100 120.00
39 0 134(78) 98(22) 0 100 239.99
40 0 76(50) 64(32) 0 82 140.00
41 0 114(50) 102(50) 0 100 200.01
42 0 54(28) 78(72) 0 100 140.00
43 0 80(72) 68(28) 0 100 140.00
44 0 7(72) 0 72 20.00
45 0 69(28) 57(72) 0 100 120.01
46 0 72(28) 60(72) 0 100 120.01
47 0 71(28) 59(72) 0 100 120.00
48 0 94(28) 82(72) 0 100 160.00
49 0 64(46) 40(54) 0 100 120.00
50 0 3(72) 0 72 20.00
51 0 79(50) 67(50) 0 100 140.00
52 0 81(50) 69(50) 0 100 140.01
53 0 106(50) 130(50) 0 100 220.00
54 0 84(50) 72(50) 0 100 140.01
55 0 36(50) 25(50) 0 100 75.53
56 0 14(50) 26(50) 0 100 60.00
57 0 63(50) 75(50) 0 100 140.00
58 0 27(22) 39(78) 0 100 80.00
59 0 65(50) 77(50) 0 100 140.00
60 0 101(22) 137(78) 0 100 240.00
61 0 89(78) 77(22) 0 100 160.00
62 0 56(72) 44(28) 0 100 100.00
63 0 70(28) 58(72) 0 100 120.00
64 0 119(50) 107(50) 0 100 200.00
65 0 73(22) 85(78) 0 100 160.00
66 0 4(22) 15(78) 0 100 42.39
(cont.)
410
Table A.129 continued.
No. Route Load Distance
67 0 111(78) 99(22) 0 100 200.00
68 0 76(22) 88(78) 0 100 160.00
69 0 138(78) 102(22) 0 100 240.00
70 0 66(78) 54(22) 0 100 120.00
71 0 42(78) 31(22) 0 100 90.53
72 0 105(22) 117(78) 0 100 200.01
73 0 107(22) 143(78) 0 100 239.99
74 0 84(22) 96(78) 0 100 160.01
75 0 109(78) 97(22) 0 100 200.00
76 0 135(78) 99(22) 0 100 239.99
77 0 124(50) 100(50) 0 100 220.00
78 0 31(28) 32(72) 0 100 75.53
79 0 29(22) 41(78) 0 100 80.00
80 0 115(28) 103(72) 0 100 200.00
81 0 141(78) 129(22) 0 100 240.00
82 0 70(50) 94(50) 0 100 160.00
83 0 71(50) 83(50) 0 100 140.00
84 0 108(22) 120(78) 0 100 199.99
85 0 98(22) 110(78) 0 100 200.00
86 0 87(78) 75(22) 0 100 160.00
87 0 136(78) 124(22) 0 100 240.00
88 0 101(50) 113(50) 0 100 200.00
89 0 79(22) 91(78) 0 100 160.00
90 0 127(50) 115(50) 0 100 220.00
91 0 128(50) 116(46) 0 96 220.00
92 0 106(22) 118(78) 0 100 200.00
93 0 132(22) 144(78) 0 100 240.00
94 0 97(50) 121(50) 0 100 220.00
95 0 98(28) 122(72) 0 100 220.00
96 0 99(28) 123(72) 0 100 220.00
97 0 113(28) 125(72) 0 100 220.00
98 0 139(78) 127(22) 0 100 240.00
99 0 116(32) 92(54) 0 86 200.00
(cont.)
411
Table A.129 continued.
No. Route Load Distance
100 0 129(50) 105(50) 0 100 220.01
101 0 142(78) 130(22) 0 100 240.00
102 0 119(28) 131(72) 0 100 220.00
103 0 108(50) 132(50) 0 100 220.00
104 0 133(78) 121(22) 0 100 240.00
105 0 62(78) 50(22) 0 100 120.00
106 0 100(22) 112(78) 0 100 200.00
107 0 90(78) 54(22) 0 100 160.01
108 0 128(22) 140(78) 0 100 240.00
109 0 93(78) 81(22) 0 100 160.01
110 0 95(78) 83(22) 0 100 160.00
Total Distance 15172.11
412
Table A.130: EMIP-MDA+ERTR solution to MDA16 with p = .3.
No. Route Load Distance
1 0 45(72) 0 72 20.00
2 0 26(22) 98(78) 0 100 39.99
3 0 19(28) 20(72) 0 100 20.87
4 0 51(22) 123(78) 0 100 39.99
5 0 117(78) 0 78 39.99
6 0 132(78) 0 78 40.00
7 0 1(28) 72(72) 0 100 20.87
8 0 2(22) 74(78) 0 100 39.99
9 0 97(78) 0 78 40.00
10 0 125(78) 0 78 40.01
11 0 46(22) 118(78) 0 100 39.99
12 0 34(28) 33(72) 0 100 20.87
13 0 32(72) 0 72 20.00
14 0 40(72) 0 72 20.00
15 0 124(78) 0 78 40.00
16 0 27(44) 26(50) 0 94 20.87
17 0 18(22) 90(78) 0 100 39.99
18 0 47(22) 119(78) 0 100 40.00
19 0 112(78) 0 78 40.00
20 0 12(72) 0 72 20.00
21 0 25(72) 0 72 20.00
22 0 34(22) 105(78) 0 100 40.07
23 0 38(28) 37(72) 0 100 20.87
24 0 3(72) 0 72 20.01
25 0 15(22) 88(78) 0 100 40.08
26 0 108(78) 0 78 39.99
27 0 16(72) 0 72 20.00
28 0 104(78) 0 78 40.00
29 0 134(78) 0 78 39.99
30 0 60(28) 56(72) 0 100 23.46
31 0 136(78) 0 78 39.99
32 0 73(78) 0 78 40.00
33 0 39(50) 38(44) 0 94 20.88
(cont.)
413
Table A.130 continued.
No. Route Load Distance
34 0 10(28) 11(72) 0 100 20.87
35 0 54(50) 55(50) 0 100 20.87
36 0 43(44) 42(44) 0 88 20.87
37 0 94(78) 0 78 40.00
38 0 68(50) 66(44) 0 94 21.74
39 0 70(50) 69(50) 0 100 20.87
40 0 133(78) 61(22) 0 100 40.00
41 0 6(50) 5(44) 0 94 20.88
42 0 14(44) 15(50) 0 94 20.88
43 0 142(78) 70(22) 0 100 40.00
44 0 30(28) 29(72) 0 100 20.87
45 0 83(78) 0 78 40.00
46 0 100(78) 0 78 39.99
47 0 130(78) 0 78 40.00
48 0 131(78) 0 78 39.99
49 0 35(72) 0 72 20.01
50 0 91(78) 0 78 40.00
51 0 53(72) 0 72 20.01
52 0 76(30) 75(54) 0 84 41.76
53 0 107(78) 0 78 40.01
54 0 54(22) 126(78) 0 100 39.99
55 0 92(78) 0 78 39.99
56 0 8(72) 0 72 20.00
57 0 79(46) 77(54) 0 100 43.48
58 0 110(78) 0 78 39.99
59 0 18(50) 19(44) 0 94 20.87
60 0 22(44) 23(44) 0 88 20.87
61 0 14(28) 13(72) 0 100 20.87
62 0 138(78) 0 78 39.99
63 0 57(22) 129(78) 0 100 40.01
64 0 52(72) 0 72 20.00
65 0 75(24) 76(48) 77(24) 0 96 43.49
66 0 39(22) 111(78) 0 100 40.01
(cont.)
414
Table A.130 continued.
No. Route Load Distance
67 0 57(50) 59(44) 0 94 21.74
68 0 128(78) 0 78 39.99
69 0 64(72) 0 72 20.00
70 0 17(72) 0 72 20.01
71 0 101(78) 0 78 40.00
72 0 1(44) 2(50) 0 94 20.87
73 0 144(78) 0 78 39.99
74 0 143(78) 0 78 40.01
75 0 36(72) 0 72 20.00
76 0 43(28) 44(72) 0 100 20.86
77 0 109(78) 0 78 40.00
78 0 89(78) 0 78 40.01
79 0 96(78) 0 78 40.00
80 0 86(54) 87(46) 0 100 41.74
81 0 42(28) 41(72) 0 100 20.88
82 0 31(50) 30(44) 0 94 20.88
83 0 5(28) 4(72) 0 100 20.87
84 0 122(78) 0 78 40.00
85 0 62(28) 63(72) 0 100 20.87
86 0 140(78) 68(22) 0 100 40.00
87 0 141(78) 69(22) 0 100 39.99
88 0 7(72) 0 72 20.00
89 0 51(50) 49(44) 0 94 21.75
90 0 34(22) 106(78) 0 100 40.00
91 0 135(78) 0 78 39.99
92 0 9(22) 81(78) 0 100 40.00
93 0 139(78) 0 78 40.00
94 0 120(78) 0 78 39.99
95 0 48(72) 0 72 20.00
96 0 102(78) 0 78 39.99
97 0 55(22) 127(78) 0 100 40.00
98 0 103(78) 31(22) 0 100 40.00
99 0 137(78) 65(22) 0 100 40.00
(cont.)
415
Table A.130 continued.
No. Route Load Distance
100 0 22(28) 21(72) 0 100 20.87
101 0 66(28) 67(72) 0 100 20.88
102 0 47(50) 46(50) 0 100 20.87
103 0 27(28) 28(72) 0 100 20.87
104 0 116(78) 0 78 39.99
105 0 121(78) 0 78 40.00
106 0 99(78) 0 78 39.99
107 0 114(78) 0 78 40.00
108 0 113(78) 0 78 39.99
109 0 60(44) 61(50) 0 94 20.87
110 0 85(78) 0 78 40.00
111 0 59(28) 58(72) 0 100 20.87
112 0 6(22) 78(78) 0 100 40.00
113 0 49(28) 50(72) 0 100 20.87
114 0 115(78) 0 78 40.00
115 0 10(44) 9(50) 0 94 20.87
116 0 65(50) 62(44) 0 94 22.61
117 0 71(72) 0 72 20.01
118 0 84(78) 0 78 39.99
119 0 82(78) 0 78 39.99
120 0 23(28) 24(72) 0 100 20.88
121 0 93(78) 0 78 40.01
122 0 87(32) 86(24) 79(32) 0 88 53.77
123 0 80(78) 0 78 39.99
124 0 95(78) 0 78 39.99
Total Distance 3962.67
416
Table A.131: EMIP-MDA+ERTR solution to MDA17 with p = .3.
No. Route Load Distance
1 0 52(50) 36(50) 0 100 139.99
2 0 15(50) 23(50) 0 100 60.00
3 0 34(22) 58(78) 0 100 160.00
4 0 12(50) 11(50) 0 100 55.30
5 0 1(72) 9(28) 0 100 40.00
6 0 88(72) 96(28) 0 100 240.01
7 0 46(50) 38(50) 0 100 120.00
8 0 127(78) 119(22) 0 100 320.00
9 0 125(50) 109(50) 0 100 320.00
10 0 121(78) 113(22) 0 100 320.00
11 0 64(28) 72(72) 0 100 180.00
12 0 41(50) 49(50) 0 100 140.00
13 0 43(24) 51(72) 0 96 140.00
14 0 13(28) 21(72) 0 100 60.00
15 0 23(22) 31(78) 0 100 80.00
16 0 53(72) 45(28) 0 100 140.00
17 0 5(22) 29(78) 0 100 80.00
18 0 124(78) 116(22) 0 100 319.99
19 0 4(72) 0 72 20.00
20 0 120(22) 128(78) 0 100 320.01
21 0 68(50) 76(50) 0 100 200.01
22 0 54(72) 46(28) 0 100 139.99
23 0 27(32) 35(50) 0 82 100.00
24 0 135(50) 151(26) 143(24) 0 100 380.00
25 0 71(72) 79(28) 0 100 200.00
26 0 8(72) 0 72 20.00
27 0 79(50) 87(50) 0 100 220.00
28 0 16(78) 0 78 39.99
29 0 47(28) 39(72) 0 100 120.00
30 0 3(72) 0 72 20.00
31 0 120(50) 112(50) 0 100 300.00
32 0 17(50) 9(50) 0 100 60.00
33 0 59(52) 67(48) 0 100 180.00
(cont.)
417
Table A.131 continued.
No. Route Load Distance
34 0 37(50) 45(50) 0 100 120.00
35 0 77(50) 69(50) 0 100 200.00
36 0 7(72) 0 72 20.00
37 0 2(26) 18(50) 10(24) 0 100 59.99
38 0 22(22) 30(78) 0 100 80.00
39 0 42(50) 34(50) 0 100 120.01
40 0 59(26) 75(50) 67(24) 0 100 200.00
41 0 52(22) 60(78) 0 100 159.99
42 0 13(50) 5(50) 0 100 40.00
43 0 38(22) 62(78) 0 100 160.00
44 0 40(50) 32(50) 0 100 100.00
45 0 6(72) 14(28) 0 100 39.99
46 0 106(28) 98(72) 0 100 280.00
47 0 78(28) 70(72) 0 100 200.00
48 0 48(78) 0 78 120.00
49 0 27(46) 43(54) 0 100 120.00
50 0 106(50) 114(50) 0 100 300.00
51 0 136(50) 152(50) 0 100 380.00
52 0 24(72) 15(28) 0 100 71.25
53 0 69(22) 93(78) 0 100 240.00
54 0 86(72) 94(28) 0 100 239.99
55 0 22(50) 14(50) 0 100 60.01
56 0 40(22) 80(78) 0 100 200.00
57 0 65(48) 73(52) 0 100 200.00
58 0 19(72) 11(28) 0 100 60.00
59 0 83(72) 75(28) 0 100 220.00
60 0 100(72) 108(28) 0 100 280.00
61 0 32(28) 56(72) 0 100 140.01
62 0 110(50) 126(50) 0 100 319.99
63 0 89(78) 81(22) 0 100 240.00
64 0 65(24) 73(26) 81(50) 0 100 220.00
65 0 126(28) 118(72) 0 100 319.99
66 0 63(78) 55(22) 0 100 160.00
(cont.)
418
Table A.131 continued.
No. Route Load Distance
67 0 112(28) 104(72) 0 100 280.00
68 0 10(54) 2(46) 0 100 39.99
69 0 146(22) 154(78) 0 100 400.00
70 0 155(78) 115(22) 0 100 400.00
71 0 68(22) 92(78) 0 100 240.01
72 0 77(28) 85(72) 0 100 220.00
73 0 41(28) 33(72) 0 100 120.00
74 0 129(72) 137(28) 0 100 360.00
75 0 42(28) 50(72) 0 100 140.01
76 0 91(78) 35(22) 0 100 240.00
77 0 36(22) 44(78) 0 100 120.00
78 0 95(28) 103(72) 0 100 260.00
79 0 110(28) 102(72) 0 100 280.00
80 0 159(78) 135(22) 0 100 400.00
81 0 96(50) 64(50) 0 100 240.01
82 0 145(22) 153(78) 0 100 400.00
83 0 130(26) 138(24) 146(50) 0 100 380.00
84 0 123(50) 139(50) 0 100 360.00
85 0 156(78) 148(22) 0 100 400.00
86 0 157(78) 149(22) 0 100 400.00
87 0 78(50) 94(50) 0 100 239.99
88 0 74(28) 66(72) 0 100 200.00
89 0 57(78) 49(22) 0 100 160.00
90 0 17(22) 25(78) 0 100 80.00
91 0 107(78) 99(22) 0 100 280.00
92 0 125(28) 117(72) 0 100 320.00
93 0 134(28) 150(72) 0 100 380.00
94 0 119(50) 95(50) 0 100 300.00
95 0 82(50) 74(50) 0 100 220.00
96 0 115(50) 99(50) 0 100 300.00
97 0 116(50) 108(50) 0 100 300.00
98 0 141(28) 133(72) 0 100 360.00
99 0 20(72) 12(28) 0 100 59.99
(cont.)
419
Table A.131 continued.
No. Route Load Distance
100 0 111(78) 87(22) 0 100 280.00
101 0 147(72) 139(28) 0 100 380.00
102 0 140(28) 132(72) 0 100 360.00
103 0 101(72) 109(28) 0 100 280.00
104 0 134(22) 158(78) 0 100 400.00
105 0 26(78) 18(22) 0 100 79.99
106 0 37(22) 61(78) 0 100 160.00
107 0 113(50) 105(50) 0 100 300.00
108 0 130(46) 138(54) 0 100 360.00
109 0 84(72) 76(28) 0 100 220.01
110 0 134(22) 142(78) 0 100 359.99
111 0 82(22) 90(78) 0 100 239.99
112 0 136(22) 144(78) 0 100 360.00
113 0 105(28) 97(72) 0 100 280.00
114 0 131(72) 123(28) 0 100 340.00
115 0 140(50) 148(50) 0 100 380.00
116 0 149(50) 141(50) 0 100 380.00
117 0 28(78) 0 78 80.00
118 0 143(54) 151(46) 0 100 380.00
119 0 160(78) 152(22) 0 100 400.00
120 0 145(50) 137(50) 0 100 380.00
121 0 114(22) 122(78) 0 100 319.99
122 0 47(50) 55(50) 0 100 140.00
Total Distance 26646.46
420
Table A.132: EMIP-MDA+ERTR solution to MDA18 with p = .3.
No. Route Load Distance
1 0 54(78) 0 78 80.01
2 0 56(28) 72(72) 0 100 100.00
3 0 42(22) 58(78) 0 100 80.00
4 0 4(22) 20(78) 0 100 40.00
5 0 70(22) 86(78) 0 100 119.99
6 0 1(50) 2(50) 0 100 23.91
7 0 24(28) 40(72) 0 100 60.01
8 0 4(50) 5(50) 0 100 23.91
9 0 74(50) 89(50) 0 100 133.60
10 0 79(22) 95(78) 0 100 120.00
11 0 16(22) 32(78) 0 100 40.01
12 0 77(22) 93(78) 0 100 120.00
13 0 115(78) 99(22) 0 100 160.00
14 0 68(22) 84(78) 0 100 119.99
15 0 69(22) 85(78) 0 100 120.00
16 0 70(50) 69(50) 0 100 119.51
17 0 36(50) 19(50) 0 100 63.84
18 0 98(22) 146(78) 0 100 200.01
19 0 39(50) 24(50) 0 100 63.82
20 0 12(22) 28(78) 0 100 40.01
21 0 66(22) 82(78) 0 100 119.99
22 0 7(28) 6(72) 0 100 23.90
23 0 39(22) 55(78) 0 100 80.00
24 0 74(22) 90(78) 0 100 120.01
25 0 10(50) 9(44) 0 94 23.91
26 0 76(72) 92(28) 0 100 120.00
27 0 36(22) 52(78) 0 100 79.99
28 0 62(28) 78(72) 0 100 100.01
29 0 41(22) 57(78) 0 100 80.00
30 0 22(50) 7(44) 0 94 41.42
31 0 126(78) 110(22) 0 100 159.99
32 0 10(22) 26(78) 0 100 40.00
33 0 83(78) 0 78 120.01
(cont.)
421
Table A.132 continued.
No. Route Load Distance
34 0 65(22) 81(78) 0 100 120.00
35 0 15(22) 31(78) 0 100 39.99
36 0 44(22) 60(78) 0 100 79.99
37 0 22(28) 38(72) 0 100 60.01
38 0 30(78) 0 78 40.00
39 0 80(22) 96(78) 0 100 120.00
40 0 59(28) 43(72) 0 100 80.00
41 0 51(50) 66(50) 0 100 110.10
42 0 88(78) 0 78 120.00
43 0 75(22) 91(78) 0 100 120.00
44 0 80(50) 65(50) 0 100 119.51
45 0 2(22) 18(78) 0 100 40.00
46 0 29(28) 45(72) 0 100 60.00
47 0 23(78) 0 78 39.99
48 0 34(22) 50(78) 0 100 80.01
49 0 75(50) 59(50) 0 100 100.00
50 0 79(50) 48(50) 0 100 105.06
51 0 15(50) 16(50) 0 100 23.90
52 0 109(22) 125(78) 0 100 160.00
53 0 11(72) 0 72 20.00
54 0 19(28) 35(72) 0 100 59.99
55 0 33(50) 34(50) 0 100 71.71
56 0 1(22) 17(78) 0 100 40.00
57 0 100(50) 132(50) 0 100 180.00
58 0 9(28) 8(72) 0 100 23.91
59 0 42(50) 41(50) 0 100 71.71
60 0 63(78) 0 78 80.00
61 0 51(28) 67(72) 0 100 100.00
62 0 62(50) 46(50) 0 100 80.00
63 0 48(22) 64(78) 0 100 79.99
64 0 37(22) 53(78) 0 100 80.00
65 0 71(50) 56(50) 0 100 110.11
66 0 13(22) 61(78) 0 100 80.00
(cont.)
422
Table A.132 continued.
No. Route Load Distance
67 0 27(78) 0 78 39.99
68 0 110(22) 158(78) 0 100 199.99
69 0 138(50) 106(50) 0 100 179.99
70 0 122(78) 106(22) 0 100 160.00
71 0 89(28) 73(72) 0 100 120.00
72 0 14(72) 0 72 20.00
73 0 5(22) 21(78) 0 100 40.00
74 0 47(72) 0 72 60.01
75 0 46(22) 94(78) 0 100 120.00
76 0 3(72) 0 72 20.00
77 0 113(52) 97(48) 0 100 160.00
78 0 13(50) 12(50) 0 100 23.91
79 0 25(78) 0 78 40.00
80 0 116(78) 100(22) 0 100 160.00
81 0 117(52) 101(48) 0 100 160.00
82 0 150(78) 102(22) 0 100 200.00
83 0 119(78) 103(22) 0 100 159.99
84 0 104(72) 120(28) 0 100 160.00
85 0 123(28) 107(72) 0 100 160.00
86 0 92(50) 77(50) 0 100 133.59
87 0 157(50) 109(50) 0 100 200.00
88 0 71(22) 87(78) 0 100 120.00
89 0 127(50) 143(50) 0 100 180.00
90 0 112(72) 128(28) 0 100 160.01
91 0 98(50) 114(50) 0 100 160.00
92 0 131(50) 99(50) 0 100 180.00
93 0 117(26) 133(50) 101(24) 0 100 180.00
94 0 102(50) 118(50) 0 100 160.00
95 0 103(50) 135(50) 0 100 180.00
96 0 105(22) 121(78) 0 100 160.00
97 0 44(50) 29(50) 0 100 63.82
98 0 140(22) 156(78) 0 100 199.99
99 0 33(22) 49(78) 0 100 80.00
(cont.)
423
Table A.132 continued.
No. Route Load Distance
100 0 142(72) 110(28) 0 100 179.99
101 0 129(50) 113(26) 97(24) 0 100 180.00
102 0 114(28) 130(72) 0 100 180.00
103 0 68(50) 37(50) 0 100 105.07
104 0 149(78) 133(22) 0 100 200.00
105 0 118(28) 134(72) 0 100 180.00
106 0 151(78) 135(22) 0 100 200.01
107 0 120(50) 136(50) 0 100 180.01
108 0 105(50) 137(50) 0 100 180.00
109 0 154(78) 138(22) 0 100 200.00
110 0 123(50) 139(50) 0 100 180.00
111 0 140(50) 108(50) 0 100 179.99
112 0 157(28) 141(72) 0 100 200.00
113 0 127(28) 111(72) 0 100 160.00
114 0 128(50) 144(50) 0 100 180.00
115 0 129(22) 145(78) 0 100 200.00
116 0 131(22) 147(78) 0 100 200.00
117 0 132(22) 148(78) 0 100 200.01
118 0 152(78) 136(22) 0 100 199.99
119 0 137(22) 153(78) 0 100 200.00
120 0 155(78) 139(22) 0 100 200.00
121 0 108(22) 124(78) 0 100 160.00
122 0 143(22) 159(78) 0 100 200.00
123 0 160(78) 144(22) 0 100 199.99
Total Distance 14420.21
424
Table A.133: EMIP-MDA+ERTR solution to MDA19 with p = .3.
No. Route Load Distance
1 0 61(78) 45(22) 0 100 80.00
2 0 23(50) 39(50) 0 100 59.99
3 0 85(50) 101(50) 0 100 140.00
4 0 47(72) 31(28) 0 100 60.01
5 0 1(22) 18(78) 0 100 41.42
6 0 148(28) 132(72) 0 100 200.01
7 0 4(22) 20(78) 0 100 40.00
8 0 183(78) 167(22) 0 100 240.01
9 0 2(22) 19(78) 0 100 41.41
10 0 55(78) 39(22) 0 100 80.00
11 0 80(22) 64(78) 0 100 100.00
12 0 147(78) 131(22) 0 100 200.00
13 0 130(22) 178(78) 0 100 240.01
14 0 192(78) 176(22) 0 100 240.00
15 0 121(78) 73(22) 0 100 160.00
16 0 58(78) 42(22) 0 100 80.00
17 0 26(78) 0 78 40.00
18 0 22(78) 0 78 40.00
19 0 33(50) 17(50) 0 100 60.00
20 0 59(78) 43(22) 0 100 80.00
21 0 16(50) 1(50) 0 100 23.91
22 0 94(28) 78(72) 0 100 120.00
23 0 68(72) 84(28) 0 100 119.99
24 0 8(72) 0 72 20.00
25 0 88(78) 40(22) 0 100 120.00
26 0 43(50) 42(50) 0 100 71.71
27 0 6(50) 7(44) 0 94 23.90
28 0 175(22) 191(78) 0 100 240.01
29 0 101(22) 117(78) 0 100 160.00
30 0 30(78) 0 78 40.00
31 0 105(72) 89(28) 0 100 140.00
32 0 90(78) 74(22) 0 100 120.01
33 0 29(28) 44(72) 0 100 63.82
(cont.)
425
Table A.133 continued.
No. Route Load Distance
34 0 7(28) 38(72) 0 100 61.12
35 0 13(72) 12(28) 0 100 23.91
36 0 32(78) 16(22) 0 100 40.01
37 0 122(78) 74(22) 0 100 160.00
38 0 73(50) 89(50) 0 100 120.00
39 0 4(22) 52(78) 0 100 79.99
40 0 62(78) 0 78 80.00
41 0 15(72) 0 72 20.00
42 0 25(78) 9(22) 0 100 40.00
43 0 33(22) 49(78) 0 100 80.00
44 0 92(28) 76(72) 0 100 120.00
45 0 70(72) 53(28) 0 100 110.11
46 0 86(78) 37(22) 0 100 124.26
47 0 187(78) 171(22) 0 100 239.99
48 0 54(78) 6(22) 0 100 80.01
49 0 129(22) 145(78) 0 100 200.00
50 0 10(44) 9(50) 0 94 23.91
51 0 48(72) 17(28) 0 100 63.83
52 0 40(50) 41(50) 0 100 71.71
53 0 175(50) 159(50) 0 100 220.00
54 0 177(78) 161(22) 0 100 240.00
55 0 12(22) 60(78) 0 100 79.99
56 0 100(22) 116(78) 0 100 160.00
57 0 14(50) 31(50) 0 100 41.41
58 0 171(50) 139(50) 0 100 220.00
59 0 142(72) 158(28) 0 100 199.99
60 0 129(50) 161(50) 0 100 220.00
61 0 140(72) 156(28) 0 100 199.99
62 0 35(50) 34(50) 0 100 71.71
63 0 174(72) 190(28) 0 100 240.00
64 0 71(72) 87(28) 0 100 120.00
65 0 146(78) 130(22) 0 100 200.01
66 0 67(50) 83(50) 0 100 120.01
(cont.)
426
Table A.133 continued.
No. Route Load Distance
67 0 12(22) 28(78) 0 100 40.01
68 0 27(78) 0 78 39.99
69 0 56(78) 0 78 79.99
70 0 136(50) 168(50) 0 100 219.99
71 0 103(22) 151(78) 0 100 200.01
72 0 106(72) 74(28) 0 100 139.99
73 0 35(22) 51(78) 0 100 79.99
74 0 190(50) 158(50) 0 100 240.00
75 0 189(50) 157(50) 0 100 240.00
76 0 124(78) 108(22) 0 100 160.00
77 0 79(72) 95(28) 0 100 120.00
78 0 112(72) 96(28) 0 100 140.01
79 0 98(50) 82(50) 0 100 140.00
80 0 114(78) 98(22) 0 100 160.00
81 0 180(78) 164(22) 0 100 240.00
82 0 118(50) 102(50) 0 100 160.00
83 0 92(50) 108(50) 0 100 140.01
84 0 166(50) 167(50) 0 100 262.93
85 0 137(72) 153(28) 0 100 200.00
86 0 69(72) 85(28) 0 100 120.00
87 0 45(50) 29(50) 0 100 60.00
88 0 155(78) 139(22) 0 100 200.00
89 0 65(50) 97(50) 0 100 140.00
90 0 123(78) 107(22) 0 100 160.00
91 0 5(22) 21(78) 0 100 40.00
92 0 67(22) 115(78) 0 100 160.00
93 0 131(50) 179(26) 163(24) 0 100 239.99
94 0 24(78) 0 78 40.01
95 0 136(22) 152(78) 0 100 199.99
96 0 113(78) 97(22) 0 100 160.00
97 0 168(22) 184(78) 0 100 240.00
98 0 109(22) 125(78) 0 100 160.00
99 0 14(22) 46(72) 0 94 60.01
(cont.)
427
Table A.133 continued.
No. Route Load Distance
100 0 91(50) 107(50) 0 100 139.99
101 0 144(72) 128(24) 0 96 180.00
102 0 96(50) 80(50) 0 100 120.00
103 0 162(72) 130(28) 0 100 220.00
104 0 100(50) 84(50) 0 100 140.00
105 0 102(22) 150(78) 0 100 200.00
106 0 153(50) 169(50) 0 100 220.00
107 0 4(28) 36(72) 0 100 60.01
108 0 119(28) 135(72) 0 100 180.00
109 0 170(72) 186(28) 0 100 240.00
110 0 157(28) 141(72) 0 100 200.00
111 0 110(72) 126(28) 0 100 159.99
112 0 143(72) 159(28) 0 100 200.00
113 0 93(28) 77(72) 0 100 120.00
114 0 57(78) 41(22) 0 100 80.00
115 0 91(28) 75(72) 0 100 120.00
116 0 164(50) 148(50) 0 100 220.01
117 0 133(72) 149(28) 0 100 200.00
118 0 93(50) 109(50) 0 100 140.00
119 0 185(78) 169(22) 0 100 240.00
120 0 104(50) 87(50) 0 100 157.19
121 0 126(50) 94(50) 0 100 159.99
122 0 53(50) 37(50) 0 100 80.00
123 0 95(50) 111(50) 0 100 140.01
124 0 188(26) 172(24) 156(50) 0 100 240.00
125 0 160(46) 128(54) 0 100 199.99
126 0 10(28) 11(72) 0 100 23.90
127 0 179(52) 163(48) 0 100 239.99
128 0 3(72) 0 72 20.00
129 0 149(50) 165(50) 0 100 220.00
130 0 182(78) 166(22) 0 100 240.01
131 0 154(50) 186(50) 0 100 240.00
132 0 134(72) 118(28) 0 100 180.00
(cont.)
428
Table A.133 continued.
No. Route Load Distance
133 0 120(78) 104(22) 0 100 160.00
134 0 138(72) 154(28) 0 100 200.00
135 0 34(22) 50(78) 0 100 80.01
136 0 188(52) 172(48) 0 100 240.00
137 0 189(28) 173(72) 0 100 240.00
138 0 82(28) 66(72) 0 100 119.99
139 0 72(72) 23(28) 0 100 102.43
140 0 160(32) 176(50) 0 82 220.00
141 0 2(50) 5(50) 0 100 31.11
142 0 83(28) 99(72) 0 100 140.01
143 0 165(22) 181(78) 0 100 240.00
144 0 63(78) 0 78 80.00
145 0 119(50) 103(50) 0 100 159.99
146 0 81(78) 65(22) 0 100 120.00
147 0 127(78) 111(22) 0 100 160.00
Total Distance 20355.71
429
Table A.134: EMIP-MDA+ERTR solution to MDA20 with p = .3.
No. Route Load Distance
1 0 135(78) 99(22) 0 100 239.99
2 0 27(72) 0 72 60.00
3 0 171(50) 147(50) 0 100 299.99
4 0 155(50) 167(50) 0 100 279.99
5 0 109(28) 97(72) 0 100 200.00
6 0 175(22) 187(78) 0 100 320.00
7 0 34(50) 21(50) 0 100 66.15
8 0 182(78) 26(22) 0 100 320.01
9 0 15(78) 0 78 40.00
10 0 25(22) 37(78) 0 100 80.00
11 0 5(22) 41(78) 0 100 80.00
12 0 22(78) 0 78 40.00
13 0 104(72) 116(28) 0 100 200.00
14 0 128(22) 140(78) 0 100 240.00
15 0 2(22) 14(78) 0 100 40.00
16 0 92(78) 80(22) 0 100 160.00
17 0 21(28) 33(72) 0 100 60.00
18 0 161(78) 149(22) 0 100 280.00
19 0 63(78) 51(22) 0 100 120.00
20 0 83(72) 71(28) 0 100 140.00
21 0 99(50) 111(50) 0 100 200.00
22 0 122(72) 110(28) 0 100 220.00
23 0 67(50) 79(50) 0 100 140.00
24 0 152(50) 164(50) 0 100 280.00
25 0 75(72) 39(28) 0 100 140.00
26 0 93(28) 105(72) 0 100 180.01
27 0 232(78) 220(22) 0 100 400.00
28 0 61(50) 25(50) 0 100 120.00
29 0 112(78) 76(22) 0 100 200.00
30 0 197(22) 233(78) 0 100 400.00
31 0 62(78) 50(22) 0 100 120.00
32 0 49(72) 61(28) 0 100 120.00
33 0 38(28) 74(72) 0 100 140.00
(cont.)
430
Table A.134 continued.
No. Route Load Distance
34 0 206(78) 194(22) 0 100 360.01
35 0 123(72) 111(28) 0 100 220.00
36 0 102(50) 114(50) 0 100 200.01
37 0 68(28) 56(72) 0 100 119.99
38 0 109(50) 121(50) 0 100 220.00
39 0 218(50) 194(50) 0 100 380.01
40 0 70(28) 58(72) 0 100 120.00
41 0 52(22) 64(78) 0 100 120.00
42 0 16(78) 4(22) 0 100 40.00
43 0 78(50) 54(50) 0 100 140.00
44 0 90(78) 78(22) 0 100 160.01
45 0 81(72) 69(28) 0 100 140.01
46 0 53(22) 89(78) 0 100 160.00
47 0 117(28) 129(72) 0 100 220.01
48 0 169(22) 181(78) 0 100 320.00
49 0 163(28) 151(72) 0 100 280.00
50 0 127(50) 115(50) 0 100 220.00
51 0 141(78) 0 78 240.00
52 0 131(22) 143(78) 0 100 239.99
53 0 226(72) 214(28) 0 100 380.00
54 0 145(50) 157(50) 0 100 280.00
55 0 77(72) 53(28) 0 100 140.00
56 0 47(78) 0 78 79.99
57 0 51(50) 39(50) 0 100 100.00
58 0 134(28) 146(72) 0 100 259.99
59 0 98(72) 50(28) 0 100 180.00
60 0 60(72) 72(28) 0 100 120.01
61 0 43(28) 31(72) 0 100 80.00
62 0 102(22) 138(78) 0 100 240.00
63 0 165(50) 153(50) 0 100 279.99
64 0 6(72) 0 72 20.00
65 0 115(28) 103(72) 0 100 200.00
66 0 82(50) 70(50) 0 100 140.00
(cont.)
431
Table A.134 continued.
No. Route Load Distance
67 0 106(50) 130(50) 0 100 220.00
68 0 186(78) 150(22) 0 100 320.00
69 0 42(78) 0 78 80.00
70 0 137(28) 173(72) 0 100 300.00
71 0 88(28) 100(72) 0 100 180.00
72 0 68(50) 80(50) 0 100 140.00
73 0 36(50) 12(50) 0 100 60.00
74 0 219(26) 231(24) 207(50) 0 100 400.00
75 0 154(22) 166(78) 0 100 280.00
76 0 106(22) 118(78) 0 100 200.00
77 0 44(50) 43(50) 0 100 100.70
78 0 183(78) 171(22) 0 100 319.99
79 0 1(50) 2(50) 0 100 25.18
80 0 3(72) 0 72 20.00
81 0 40(28) 124(72) 0 100 220.00
82 0 213(50) 189(50) 0 100 359.99
83 0 32(72) 44(28) 0 100 80.00
84 0 107(72) 119(28) 0 100 200.00
85 0 145(22) 157(28) 169(50) 0 100 300.00
86 0 55(72) 67(28) 0 100 120.00
87 0 1(22) 13(78) 0 100 40.00
88 0 29(72) 17(28) 0 100 60.00
89 0 101(50) 113(50) 0 100 200.00
90 0 10(72) 9(28) 0 100 25.18
91 0 71(50) 59(50) 0 100 120.00
92 0 57(50) 69(50) 0 100 120.01
93 0 190(78) 178(22) 0 100 320.00
94 0 195(72) 207(28) 0 100 359.99
95 0 72(50) 84(50) 0 100 140.01
96 0 20(78) 8(22) 0 100 40.00
97 0 114(28) 126(72) 0 100 220.01
98 0 215(28) 203(72) 0 100 360.01
99 0 155(22) 191(78) 0 100 320.01
(cont.)
432
Table A.134 continued.
No. Route Load Distance
100 0 18(50) 17(50) 0 100 50.35
101 0 8(50) 7(50) 0 100 25.18
102 0 133(78) 121(22) 0 100 240.00
103 0 57(22) 45(78) 0 100 100.01
104 0 148(48) 136(52) 0 100 260.00
105 0 137(50) 149(50) 0 100 260.00
106 0 222(22) 234(78) 0 100 400.00
107 0 211(28) 199(72) 0 100 360.00
108 0 214(50) 202(50) 0 100 360.00
109 0 227(22) 239(78) 0 100 400.00
110 0 228(50) 204(50) 0 100 380.00
111 0 85(50) 110(50) 0 100 230.43
112 0 36(22) 48(78) 0 100 80.01
113 0 66(78) 54(22) 0 100 120.00
114 0 19(78) 7(22) 0 100 40.00
115 0 152(22) 188(78) 0 100 320.00
116 0 170(72) 158(28) 0 100 299.99
117 0 238(78) 202(22) 0 100 400.00
118 0 144(78) 132(22) 0 100 240.00
119 0 230(78) 218(22) 0 100 400.01
120 0 87(78) 0 78 160.00
121 0 136(26) 148(24) 160(50) 0 100 280.00
122 0 208(78) 0 78 360.00
123 0 163(50) 175(50) 0 100 300.00
124 0 108(22) 120(78) 0 100 199.99
125 0 180(22) 192(78) 0 100 320.00
126 0 53(22) 65(78) 0 100 120.00
127 0 204(22) 216(78) 0 100 360.00
128 0 229(78) 217(22) 0 100 400.00
129 0 217(50) 205(50) 0 100 380.00
130 0 160(28) 172(72) 0 100 300.00
131 0 113(28) 125(72) 0 100 220.00
132 0 162(28) 174(72) 0 100 300.00
(cont.)
433
Table A.134 continued.
No. Route Load Distance
133 0 153(22) 237(78) 0 100 399.99
134 0 200(28) 224(72) 0 100 380.01
135 0 201(72) 189(28) 0 100 340.00
136 0 240(78) 228(22) 0 100 400.00
137 0 227(50) 215(50) 0 100 380.00
138 0 84(22) 96(78) 0 100 160.01
139 0 219(46) 231(54) 0 100 400.00
140 0 197(50) 209(50) 0 100 360.00
141 0 162(50) 150(50) 0 100 280.00
142 0 164(28) 176(72) 0 100 300.00
143 0 117(50) 93(50) 0 100 200.01
144 0 134(50) 158(50) 0 100 279.99
145 0 131(50) 119(50) 0 100 220.00
146 0 168(78) 180(22) 0 100 300.00
147 0 193(72) 205(28) 0 100 360.00
148 0 28(72) 0 72 60.00
149 0 40(24) 52(50) 40(26) 0 100 100.00
150 0 184(28) 196(72) 0 100 340.00
151 0 11(50) 9(44) 0 94 30.00
152 0 198(72) 210(28) 0 100 360.00
153 0 79(22) 91(78) 0 100 160.00
154 0 236(78) 200(22) 0 100 400.01
155 0 177(72) 165(28) 0 100 300.00
156 0 142(78) 130(22) 0 100 240.00
157 0 108(50) 132(50) 0 100 220.00
158 0 46(78) 34(22) 0 100 80.00
159 0 5(50) 4(50) 0 100 25.18
160 0 159(78) 147(22) 0 100 279.99
161 0 86(78) 50(22) 0 100 160.00
162 0 221(72) 209(28) 0 100 380.00
163 0 222(50) 210(50) 0 100 380.00
164 0 223(50) 211(50) 0 100 380.00
165 0 94(78) 82(22) 0 100 160.00
(cont.)
434
Table A.134 continued.
No. Route Load Distance
166 0 116(50) 128(50) 0 100 220.00
167 0 178(50) 154(50) 0 100 300.00
168 0 95(78) 59(22) 0 100 160.00
169 0 101(22) 185(78) 0 100 320.00
170 0 213(28) 225(72) 0 100 379.99
171 0 180(28) 156(72) 0 100 300.00
172 0 167(28) 179(72) 0 100 300.01
173 0 88(50) 76(50) 0 100 160.00
174 0 26(50) 38(50) 0 100 80.00
175 0 35(72) 11(22) 0 94 60.00
176 0 73(72) 85(28) 0 100 160.00
177 0 220(50) 184(50) 0 100 380.00
178 0 18(28) 30(72) 0 100 60.00
179 0 139(78) 127(22) 0 100 240.00
180 0 200(22) 212(78) 0 100 359.99
181 0 223(22) 235(78) 0 100 400.00
182 0 12(22) 24(78) 0 100 40.00
183 0 23(78) 0 78 40.00
Total Distance 40018.33
435
Table A.135: EMIP-MDA+ERTR solution to MDA21 with p = .3.
No. Route Load Distance
1 0 92(78) 0 78 39.99
2 0 235(78) 163(22) 0 100 80.00
3 0 35(22) 106(78) 0 100 40.08
4 0 19(44) 23(50) 0 94 23.48
5 0 44(28) 43(72) 0 100 20.86
6 0 154(22) 226(78) 0 100 79.99
7 0 116(78) 44(22) 0 100 39.99
8 0 93(54) 91(46) 0 100 43.49
9 0 179(72) 107(28) 0 100 59.99
10 0 211(50) 212(50) 0 100 62.62
11 0 37(22) 109(78) 0 100 40.00
12 0 198(72) 127(24) 0 96 60.24
13 0 79(78) 0 78 40.00
14 0 208(72) 0 72 60.01
15 0 9(72) 8(28) 0 100 20.87
16 0 22(72) 0 72 20.00
17 0 94(78) 0 78 40.00
18 0 251(78) 0 78 80.00
19 0 162(50) 161(50) 0 100 62.61
20 0 77(54) 76(32) 0 86 41.74
21 0 41(72) 0 72 20.01
22 0 99(78) 0 78 39.99
23 0 224(78) 0 78 80.00
24 0 169(72) 0 72 60.00
25 0 134(78) 0 78 39.99
26 0 78(54) 76(46) 0 100 43.48
27 0 271(78) 199(22) 0 100 80.00
28 0 66(50) 67(44) 0 94 20.88
29 0 177(44) 105(54) 0 98 60.00
30 0 121(32) 120(54) 0 86 41.74
31 0 229(28) 230(28) 231(28) 0 84 86.98
32 0 162(22) 234(78) 0 100 80.01
33 0 86(50) 85(50) 0 100 41.75
(cont.)
436
Table A.135 continued.
No. Route Load Distance
34 0 57(72) 58(28) 0 100 20.87
35 0 177(28) 178(72) 0 100 62.61
36 0 62(72) 0 72 19.99
37 0 270(78) 0 78 80.01
38 0 258(78) 0 78 79.99
39 0 11(72) 0 72 20.00
40 0 124(78) 0 78 40.00
41 0 52(44) 54(50) 0 94 21.75
42 0 1(22) 73(78) 0 100 40.00
43 0 54(22) 126(78) 0 100 39.99
44 0 89(54) 91(32) 0 86 43.49
45 0 17(72) 0 72 20.01
46 0 24(72) 0 72 20.00
47 0 86(28) 158(72) 0 100 60.00
48 0 170(72) 26(22) 0 94 60.01
49 0 2(72) 0 72 20.00
50 0 245(78) 172(22) 0 100 80.44
51 0 244(50) 243(24) 242(24) 0 98 86.98
52 0 282(78) 66(22) 0 100 80.00
53 0 129(54) 128(32) 0 86 41.74
54 0 93(24) 168(72) 0 96 61.88
55 0 40(50) 39(50) 0 100 20.87
56 0 44(22) 115(78) 0 100 40.07
57 0 266(78) 194(22) 0 100 80.00
58 0 145(22) 218(78) 0 100 80.45
59 0 244(28) 243(54) 0 82 83.48
60 0 193(50) 194(50) 0 100 62.62
61 0 136(78) 64(22) 0 100 39.99
62 0 121(46) 118(54) 0 100 45.22
63 0 149(28) 150(72) 0 100 62.62
64 0 236(78) 164(22) 0 100 80.00
65 0 111(50) 184(50) 0 100 60.23
66 0 212(22) 284(78) 0 100 80.00
(cont.)
437
Table A.135 continued.
No. Route Load Distance
67 0 53(72) 0 72 20.01
68 0 223(78) 0 78 80.00
69 0 6(72) 0 72 20.00
70 0 219(78) 0 78 80.00
71 0 183(72) 111(28) 0 100 59.99
72 0 10(72) 0 72 20.00
73 0 204(22) 277(78) 0 100 80.44
74 0 143(78) 0 78 40.01
75 0 182(72) 0 72 60.01
76 0 231(50) 230(50) 0 100 83.50
77 0 253(78) 181(22) 0 100 80.00
78 0 200(22) 272(78) 0 100 80.00
79 0 239(46) 240(54) 0 100 83.49
80 0 12(72) 0 72 20.00
81 0 159(72) 0 72 60.00
82 0 18(72) 0 72 20.00
83 0 21(72) 0 72 20.01
84 0 48(72) 0 72 20.00
85 0 241(50) 240(24) 238(24) 0 98 90.47
86 0 117(78) 0 78 39.99
87 0 164(50) 163(50) 0 100 62.62
88 0 249(78) 0 78 80.00
89 0 263(78) 0 78 80.01
90 0 203(28) 202(72) 0 100 62.62
91 0 147(72) 0 72 59.99
92 0 222(78) 149(22) 0 100 80.44
93 0 5(22) 220(78) 0 100 80.05
94 0 119(78) 0 78 40.00
95 0 110(78) 38(22) 0 100 39.99
96 0 63(22) 135(78) 0 100 39.99
97 0 88(78) 0 78 40.00
98 0 114(78) 0 78 40.00
99 0 61(22) 133(78) 0 100 40.00
(cont.)
438
Table A.135 continued.
No. Route Load Distance
100 0 61(50) 59(50) 0 100 21.75
101 0 27(28) 171(72) 0 100 59.99
102 0 200(50) 199(50) 0 100 62.62
103 0 191(72) 47(22) 0 94 60.01
104 0 56(72) 0 72 20.00
105 0 173(72) 28(28) 0 100 60.06
106 0 197(72) 125(28) 0 100 59.99
107 0 70(72) 0 72 20.00
108 0 288(78) 216(22) 0 100 80.01
109 0 96(78) 0 78 40.00
110 0 36(72) 0 72 20.00
111 0 138(78) 0 78 39.99
112 0 74(78) 0 78 39.99
113 0 246(78) 0 78 80.00
114 0 232(78) 0 78 80.00
115 0 221(78) 149(22) 0 100 80.00
116 0 257(78) 185(22) 0 100 80.00
117 0 40(22) 112(78) 0 100 40.00
118 0 241(28) 242(54) 0 82 83.48
119 0 5(50) 8(44) 0 94 22.62
120 0 267(78) 195(22) 0 100 80.01
121 0 90(78) 0 78 39.99
122 0 83(78) 0 78 40.00
123 0 105(24) 176(72) 0 96 60.23
124 0 69(72) 0 72 20.01
125 0 15(72) 0 72 20.01
126 0 81(78) 0 78 40.00
127 0 42(72) 0 72 20.00
128 0 145(22) 217(78) 0 100 80.00
129 0 265(78) 193(22) 0 100 80.00
130 0 123(78) 0 78 39.99
131 0 274(78) 203(22) 0 100 80.45
132 0 125(50) 47(50) 0 100 42.40
(cont.)
439
Table A.135 continued.
No. Route Load Distance
133 0 71(72) 0 72 20.01
134 0 102(78) 0 78 39.99
135 0 13(22) 84(78) 0 100 40.07
136 0 216(50) 215(50) 0 100 62.61
137 0 250(78) 0 78 80.01
138 0 210(72) 0 72 60.00
139 0 25(72) 0 72 20.00
140 0 225(78) 153(22) 0 100 80.00
141 0 259(78) 187(22) 0 100 80.00
142 0 254(78) 0 78 80.00
143 0 142(28) 213(72) 0 100 60.23
144 0 252(78) 180(22) 0 100 80.01
145 0 122(78) 0 78 40.00
146 0 152(72) 0 72 60.00
147 0 248(78) 32(22) 0 100 80.00
148 0 87(78) 0 78 39.99
149 0 26(50) 27(44) 0 94 20.87
150 0 207(22) 279(78) 0 100 80.01
151 0 175(50) 172(50) 0 100 67.83
152 0 229(50) 228(50) 0 100 83.48
153 0 285(78) 0 78 80.01
154 0 49(72) 0 72 20.00
155 0 38(50) 37(50) 0 100 20.87
156 0 276(78) 204(22) 0 100 79.99
157 0 34(72) 35(28) 0 100 20.87
158 0 46(72) 0 72 20.00
159 0 189(22) 261(78) 0 100 80.00
160 0 268(78) 195(22) 0 100 80.45
161 0 4(28) 3(72) 0 100 20.87
162 0 269(78) 0 78 80.00
163 0 89(24) 160(72) 0 96 60.23
164 0 211(22) 283(78) 0 100 80.01
165 0 39(22) 255(78) 0 100 79.99
(cont.)
440
Table A.135 continued.
No. Route Load Distance
166 0 227(78) 13(22) 0 100 80.20
167 0 141(78) 0 78 39.99
168 0 55(72) 0 72 20.00
169 0 104(78) 32(22) 0 100 40.00
170 0 185(50) 187(50) 0 100 65.23
171 0 72(72) 0 72 20.00
172 0 281(78) 0 78 80.01
173 0 215(22) 287(78) 0 100 80.00
174 0 85(28) 157(72) 0 100 60.00
175 0 181(50) 180(50) 0 100 62.63
176 0 103(50) 107(50) 0 100 46.95
177 0 214(50) 142(50) 0 100 60.01
178 0 203(22) 275(78) 0 100 80.00
179 0 30(72) 0 72 20.00
180 0 95(78) 23(22) 0 100 39.99
181 0 190(72) 118(24) 0 96 60.01
182 0 80(78) 0 78 39.99
183 0 75(78) 0 78 40.01
184 0 78(24) 151(72) 0 96 60.23
185 0 50(72) 0 72 20.00
186 0 60(72) 0 72 19.99
187 0 145(28) 146(72) 0 100 62.62
188 0 7(72) 0 72 20.00
189 0 209(72) 137(28) 0 100 60.01
190 0 192(72) 120(24) 0 96 60.00
191 0 137(50) 0 50 40.00
192 0 31(72) 32(28) 0 100 20.87
193 0 97(78) 0 78 40.00
194 0 189(50) 188(50) 0 100 62.62
195 0 207(50) 206(50) 0 100 62.62
196 0 108(78) 35(22) 0 100 40.07
197 0 63(50) 64(50) 0 100 20.87
198 0 51(72) 52(28) 0 100 20.87
(cont.)
441
Table A.135 continued.
No. Route Load Distance
199 0 101(78) 29(22) 0 100 40.00
200 0 273(78) 0 78 79.99
201 0 82(78) 0 78 39.99
202 0 65(72) 0 72 20.00
203 0 139(78) 0 78 40.00
204 0 33(72) 0 72 20.01
205 0 228(28) 156(72) 0 100 80.00
206 0 16(72) 0 72 20.00
207 0 29(50) 28(44) 0 94 20.87
208 0 175(22) 247(78) 0 100 80.00
209 0 154(50) 153(50) 0 100 62.61
210 0 166(22) 237(78) 0 100 80.44
211 0 165(72) 166(22) 0 94 62.61
212 0 206(22) 278(78) 0 100 80.00
213 0 45(72) 0 72 20.00
214 0 144(78) 0 78 39.99
215 0 131(78) 58(22) 0 100 40.07
216 0 233(78) 161(22) 0 100 80.00
217 0 174(72) 103(28) 0 100 60.22
218 0 127(54) 128(46) 0 100 41.74
219 0 196(72) 195(28) 0 100 62.61
220 0 264(78) 0 78 80.00
221 0 98(78) 0 78 39.99
222 0 201(72) 129(24) 0 96 59.99
223 0 130(78) 58(22) 0 100 40.00
224 0 256(78) 184(22) 0 100 80.00
225 0 239(32) 238(54) 0 86 83.50
226 0 205(72) 204(28) 0 100 62.62
227 0 286(78) 214(22) 0 100 80.01
228 0 19(28) 20(72) 0 100 20.87
229 0 280(78) 0 78 80.00
230 0 148(72) 77(24) 0 96 60.23
231 0 155(72) 0 72 59.99
(cont.)
442
Table A.135 continued.
No. Route Load Distance
232 0 167(72) 166(28) 0 100 62.62
233 0 140(78) 0 78 40.00
234 0 262(78) 0 78 80.00
235 0 186(72) 0 72 60.00
236 0 100(78) 0 78 39.99
237 0 260(78) 188(22) 0 100 80.00
238 0 68(72) 67(28) 0 100 20.87
239 0 1(50) 4(44) 0 94 22.61
240 0 132(78) 59(22) 0 100 40.08
241 0 14(72) 13(28) 0 100 20.87
242 0 113(78) 0 78 39.99
Total Distance 12652.93
443
Table A.136: EMIP-MDA+ERTR solution to MDA1 with p = .4.
No. Route Load Distance
1 0 2(50) 3(50) 0 100 34.14
2 0 1(50) 4(50) 0 100 34.14
3 0 1(34) 5(66) 0 100 40.00
4 0 2(34) 6(66) 0 100 40.00
5 0 3(34) 7(66) 0 100 40.00
6 0 4(34) 8(66) 0 100 40.00
Total Distance 228.28
Table A.137: EMIP-MDA+ERTR solution to MDA2 with p = .4.
No. Route Load Distance
1 0 9(50) 1(50) 0 100 60.00
2 0 10(50) 2(50) 0 100 60.00
3 0 11(50) 3(50) 0 100 60.00
4 0 12(50) 4(50) 0 100 60.00
5 0 1(34) 5(66) 0 100 40.00
6 0 2(34) 6(66) 0 100 40.00
7 0 3(34) 7(66) 0 100 40.00
8 0 4(34) 8(66) 0 100 40.00
9 0 13(66) 9(34) 0 100 80.00
10 0 15(66) 11(34) 0 100 80.00
11 0 16(66) 12(34) 0 100 80.00
12 0 10(34) 14(66) 0 100 80.00
Total Distance 720.00
444
Table A.138: EMIP-MDA+ERTR solution to MDA3 with p = .4.
No. Route Load Distance
1 0 2(50) 3(50) 0 100 27.65
2 0 5(50) 4(50) 0 100 27.65
3 0 7(50) 6(50) 0 100 27.65
4 0 1(50) 8(50) 0 100 27.65
5 0 1(34) 9(66) 0 100 40.00
6 0 2(34) 10(66) 0 100 39.99
7 0 3(34) 11(66) 0 100 40.00
8 0 4(34) 12(66) 0 100 39.99
9 0 5(34) 13(66) 0 100 40.00
10 0 6(34) 14(66) 0 100 39.99
11 0 7(34) 15(66) 0 100 40.00
12 0 8(34) 16(66) 0 100 39.99
Total Distance 430.58
Table A.139: EMIP-MDA+ERTR solution to MDA4 with p = .4.
No. Route Load Distance
1 0 1(50) 2(50) 0 100 25.18
2 0 3(50) 4(50) 0 100 25.18
3 0 6(50) 5(50) 0 100 25.18
4 0 18(66) 6(34) 0 100 40.00
5 0 19(66) 7(34) 0 100 40.00
6 0 7(50) 8(50) 0 100 25.18
7 0 9(50) 10(50) 0 100 25.18
8 0 12(50) 11(50) 0 100 25.18
9 0 1(34) 13(66) 0 100 40.00
10 0 2(34) 14(66) 0 100 40.00
11 0 3(34) 15(66) 0 100 40.00
12 0 4(34) 16(66) 0 100 40.00
13 0 5(34) 17(66) 0 100 40.00
14 0 8(34) 20(66) 0 100 40.00
15 0 9(34) 21(66) 0 100 40.00
16 0 10(34) 22(66) 0 100 40.00
17 0 11(34) 23(66) 0 100 40.00
18 0 12(34) 24(66) 0 100 40.00
Total Distance 631.05
445
Table A.140: EMIP-MDA+ERTR solution to MDA5 with p = .4.
No. Route Load Distance
1 0 1(84) 0 84 20.00
2 0 3(50) 2(50) 0 100 27.65
3 0 11(66) 3(34) 0 100 40.00
4 0 4(84) 0 84 20.00
5 0 5(84) 0 84 20.00
6 0 7(50) 6(50) 0 100 27.65
7 0 15(66) 7(34) 0 100 40.00
8 0 8(84) 0 84 20.00
9 0 2(34) 10(66) 0 100 39.99
10 0 12(34) 13(66) 0 100 55.30
11 0 6(34) 14(66) 0 100 39.99
12 0 9(34) 16(66) 0 100 55.30
13 0 9(32) 17(50) 0 82 60.00
14 0 26(66) 18(34) 0 100 79.99
15 0 18(50) 19(50) 0 100 82.95
16 0 20(84) 0 84 59.99
17 0 22(50) 21(50) 0 100 82.96
18 0 31(66) 23(34) 0 100 80.00
19 0 23(50) 24(50) 0 100 82.96
20 0 17(34) 25(66) 0 100 80.00
21 0 19(34) 27(66) 0 100 80.00
22 0 12(32) 28(66) 0 98 80.00
23 0 21(34) 29(66) 0 100 80.00
24 0 22(34) 30(66) 0 100 80.00
25 0 24(34) 32(66) 0 100 80.00
Total Distance 1414.75
446
Table A.141: EMIP-MDA+ERTR solution to MDA6 with p = .4.
No. Route Load Distance
1 0 1(50) 16(50) 0 100 23.91
2 0 3(50) 2(50) 0 100 23.90
3 0 4(84) 0 84 20.00
4 0 5(84) 0 84 20.00
5 0 6(84) 0 84 20.00
6 0 7(84) 0 84 20.00
7 0 8(84) 0 84 20.00
8 0 9(84) 0 84 20.00
9 0 10(84) 0 84 20.00
10 0 11(84) 0 84 20.00
11 0 12(84) 0 84 20.00
12 0 13(84) 0 84 20.00
13 0 14(84) 0 84 20.00
14 0 15(84) 0 84 20.00
15 0 18(66) 2(34) 0 100 40.00
16 0 16(34) 32(66) 0 100 40.01
17 0 3(34) 19(66) 0 100 39.99
18 0 21(34) 20(66) 0 100 47.80
19 0 21(32) 22(66) 0 98 47.80
20 0 24(32) 23(66) 0 98 47.80
21 0 24(34) 25(66) 0 100 47.81
22 0 27(32) 26(66) 0 98 47.81
23 0 28(66) 27(34) 0 100 47.80
24 0 30(34) 29(66) 0 100 47.80
25 0 31(66) 30(32) 0 98 47.81
26 0 17(66) 1(34) 0 100 40.00
Total Distance 830.26
447
Table A.142: EMIP-MDA+ERTR solution to MDA7 with p = .4.
No. Route Load Distance
1 0 6(66) 2(34) 0 100 40.00
2 0 2(50) 3(50) 0 100 34.14
3 0 1(50) 4(50) 0 100 34.14
4 0 1(34) 5(66) 0 100 40.00
5 0 3(34) 7(66) 0 100 40.00
6 0 4(34) 8(66) 0 100 40.00
7 0 14(66) 10(34) 0 100 80.00
8 0 19(50) 11(50) 0 100 100.00
9 0 9(34) 13(66) 0 100 80.00
10 0 11(34) 15(66) 0 100 80.00
11 0 12(34) 16(66) 0 100 80.00
12 0 9(50) 17(50) 0 100 100.00
13 0 10(50) 18(50) 0 100 100.00
14 0 12(50) 20(50) 0 100 100.00
15 0 17(34) 21(66) 0 100 120.00
16 0 18(34) 22(66) 0 100 120.00
17 0 19(34) 23(66) 0 100 120.00
18 0 20(34) 24(66) 0 100 120.00
19 0 33(50) 25(50) 0 100 180.00
20 0 34(50) 26(50) 0 100 180.00
21 0 35(50) 27(50) 0 100 180.00
22 0 32(66) 28(34) 0 100 160.00
23 0 25(34) 29(66) 0 100 160.00
24 0 26(34) 30(66) 0 100 160.00
25 0 27(34) 31(66) 0 100 160.00
26 0 28(50) 36(50) 0 100 180.00
27 0 33(34) 37(66) 0 100 200.00
28 0 34(34) 38(66) 0 100 200.00
29 0 35(34) 39(66) 0 100 200.00
30 0 36(34) 40(66) 0 100 200.00
Total Distance 3588.28
448
Table A.143: EMIP-MDA+ERTR solution to MDA8 with p = .4.
No. Route Load Distance
1 0 5(66) 1(34) 0 100 40.00
2 0 33(50) 41(50) 0 100 220.00
3 0 43(50) 35(50) 0 100 220.00
4 0 11(50) 3(50) 0 100 60.00
5 0 2(34) 6(66) 0 100 40.00
6 0 3(34) 7(66) 0 100 40.00
7 0 4(34) 8(66) 0 100 40.00
8 0 4(50) 12(50) 0 100 60.00
9 0 9(34) 13(66) 0 100 80.00
10 0 10(34) 14(66) 0 100 80.00
11 0 11(34) 15(66) 0 100 80.00
12 0 12(34) 16(66) 0 100 80.00
13 0 21(66) 17(34) 0 100 120.00
14 0 42(50) 34(50) 0 100 220.00
15 0 1(50) 9(50) 0 100 60.00
16 0 28(50) 20(50) 0 100 140.00
17 0 34(34) 38(66) 0 100 200.00
18 0 43(34) 47(66) 0 100 240.00
19 0 20(34) 24(66) 0 100 120.00
20 0 10(50) 2(50) 0 100 60.00
21 0 30(66) 26(34) 0 100 160.00
22 0 19(50) 27(50) 0 100 140.00
23 0 32(66) 28(34) 0 100 160.00
24 0 41(34) 45(66) 0 100 240.00
25 0 27(34) 31(66) 0 100 160.00
26 0 39(66) 35(34) 0 100 200.00
27 0 44(50) 36(50) 0 100 220.00
28 0 33(34) 37(66) 0 100 200.00
29 0 18(34) 22(66) 0 100 120.00
30 0 44(34) 48(66) 0 100 240.00
31 0 17(50) 25(50) 0 100 140.00
32 0 18(50) 26(50) 0 100 140.00
33 0 23(66) 19(34) 0 100 120.00
34 0 40(66) 36(34) 0 100 200.00
35 0 25(34) 29(66) 0 100 160.00
36 0 42(34) 46(66) 0 100 240.00
Total Distance 5040.00
449
Table A.144: EMIP-MDA+ERTR solution to MDA9 with p = .4.
No. Route Load Distance
1 0 2(50) 1(50) 0 100 25.18
2 0 4(50) 3(50) 0 100 25.18
3 0 5(84) 0 84 20.00
4 0 6(84) 0 84 20.00
5 0 8(50) 7(50) 0 100 25.18
6 0 9(84) 0 84 20.00
7 0 10(84) 0 84 20.00
8 0 23(66) 11(34) 0 100 40.00
9 0 11(50) 12(50) 0 100 25.18
10 0 1(34) 13(66) 0 100 40.00
11 0 2(34) 14(66) 0 100 40.00
12 0 3(34) 15(66) 0 100 40.00
13 0 4(34) 16(66) 0 100 40.00
14 0 18(66) 17(27) 0 93 50.35
15 0 7(34) 19(66) 0 100 40.00
16 0 8(34) 20(66) 0 100 40.00
17 0 22(27) 21(66) 0 93 50.35
18 0 34(50) 22(39) 0 89 60.00
19 0 12(34) 24(66) 0 100 40.00
20 0 25(50) 26(50) 0 100 75.53
21 0 28(50) 27(50) 0 100 75.53
22 0 17(39) 29(50) 0 89 60.00
23 0 30(50) 31(50) 0 100 75.53
24 0 44(66) 32(34) 0 100 80.00
25 0 32(50) 33(50) 0 100 75.53
26 0 47(66) 35(34) 0 100 79.99
27 0 35(50) 36(50) 0 100 75.53
28 0 25(34) 37(66) 0 100 80.00
29 0 26(34) 38(66) 0 100 80.00
30 0 27(34) 39(66) 0 100 80.00
31 0 28(34) 40(66) 0 100 80.00
32 0 29(34) 41(66) 0 100 80.00
33 0 30(34) 42(66) 0 100 80.00
(cont.)
450
Table A.144 continued.
No. Route Load Distance
34 0 31(34) 43(66) 0 100 80.00
35 0 33(34) 45(66) 0 100 80.00
36 0 34(34) 46(66) 0 100 80.00
37 0 36(34) 48(66) 0 100 80.01
Total Distance 2059.03
451
Table A.145: EMIP-MDA+ERTR solution to MDA10 with p = .4.
No. Route Load Distance
1 0 62(66) 46(34) 0 100 80.00
2 0 16(50) 1(50) 0 100 23.91
3 0 19(66) 3(34) 0 100 39.99
4 0 5(84) 0 84 20.00
5 0 6(84) 0 84 20.00
6 0 27(66) 0 66 39.99
7 0 8(34) 24(66) 0 100 40.01
8 0 10(84) 0 84 20.00
9 0 11(84) 0 84 20.00
10 0 9(84) 0 84 20.00
11 0 14(84) 0 84 20.00
12 0 15(84) 0 84 20.00
13 0 2(50) 3(50) 0 100 23.90
14 0 63(66) 31(34) 0 100 80.00
15 0 4(84) 0 84 20.00
16 0 20(66) 21(32) 0 98 47.80
17 0 22(66) 21(34) 0 100 47.80
18 0 23(66) 7(34) 0 100 39.99
19 0 25(66) 26(27) 0 93 47.80
20 0 13(50) 12(50) 0 100 23.91
21 0 8(50) 7(50) 0 100 23.90
22 0 12(34) 28(66) 0 100 40.01
23 0 13(34) 29(66) 0 100 40.00
24 0 1(34) 17(66) 0 100 40.00
25 0 30(66) 31(32) 0 98 47.81
26 0 32(66) 16(34) 0 100 40.01
27 0 49(66) 33(34) 0 100 80.00
28 0 35(50) 34(50) 0 100 71.71
29 0 36(50) 37(50) 0 100 71.71
30 0 38(50) 39(50) 0 100 71.71
31 0 26(39) 42(50) 0 89 60.01
32 0 41(50) 40(50) 0 100 71.71
33 0 43(50) 44(50) 0 100 71.71
(cont.)
452
Table A.145 continued.
No. Route Load Distance
34 0 46(50) 45(50) 0 100 71.71
35 0 47(84) 0 84 60.01
36 0 33(50) 48(50) 0 100 71.71
37 0 50(66) 34(34) 0 100 80.01
38 0 35(34) 51(66) 0 100 79.99
39 0 52(66) 36(34) 0 100 79.99
40 0 38(34) 54(66) 0 100 80.01
41 0 53(66) 37(34) 0 100 80.00
42 0 56(66) 40(34) 0 100 79.99
43 0 55(66) 39(34) 0 100 80.00
44 0 41(34) 57(66) 0 100 80.00
45 0 59(66) 43(34) 0 100 80.00
46 0 58(66) 42(34) 0 100 80.00
47 0 44(34) 60(66) 0 100 79.99
48 0 61(66) 45(34) 0 100 80.00
49 0 64(66) 48(34) 0 100 79.99
50 0 18(66) 2(34) 0 100 40.00
Total Distance 2708.80
453
Table A.146: EMIP-MDA+ERTR solution to MDA11 with p = .4.
No. Route Load Distance
1 0 57(50) 49(50) 0 100 300.00
2 0 15(66) 11(34) 0 100 80.00
3 0 12(50) 4(50) 0 100 60.00
4 0 1(34) 5(66) 0 100 40.00
5 0 10(34) 14(66) 0 100 80.00
6 0 8(66) 4(34) 0 100 40.00
7 0 10(50) 2(50) 0 100 60.00
8 0 1(50) 9(50) 0 100 60.00
9 0 9(34) 13(66) 0 100 80.00
10 0 2(34) 6(66) 0 100 40.00
11 0 35(34) 39(66) 0 100 200.00
12 0 20(34) 24(66) 0 100 120.00
13 0 74(50) 66(50) 0 100 380.00
14 0 19(50) 27(50) 0 100 140.00
15 0 60(50) 52(50) 0 100 300.00
16 0 17(34) 21(66) 0 100 120.00
17 0 22(66) 18(34) 0 100 120.00
18 0 7(66) 3(34) 0 100 40.00
19 0 12(34) 16(66) 0 100 80.00
20 0 11(50) 3(50) 0 100 60.00
21 0 40(66) 36(34) 0 100 200.00
22 0 41(34) 45(66) 0 100 240.00
23 0 38(66) 34(34) 0 100 200.00
24 0 51(34) 55(66) 0 100 280.00
25 0 37(66) 33(34) 0 100 200.00
26 0 58(50) 50(50) 0 100 300.00
27 0 35(50) 51(50) 0 100 260.00
28 0 36(50) 44(50) 0 100 220.00
29 0 30(66) 26(34) 0 100 160.00
30 0 31(66) 27(34) 0 100 160.00
31 0 48(66) 44(34) 0 100 240.00
32 0 17(50) 25(50) 0 100 140.00
33 0 25(34) 29(66) 0 100 160.00
(cont.)
454
Table A.146 continued.
No. Route Load Distance
34 0 58(34) 62(66) 0 100 320.00
35 0 43(34) 47(66) 0 100 240.00
36 0 32(66) 28(34) 0 100 160.00
37 0 43(50) 59(50) 0 100 300.00
38 0 76(50) 68(50) 0 100 380.00
39 0 65(34) 69(66) 0 100 360.00
40 0 54(66) 50(34) 0 100 280.00
41 0 75(34) 79(66) 0 100 400.00
42 0 68(34) 72(66) 0 100 360.00
43 0 33(50) 41(50) 0 100 220.00
44 0 26(50) 18(50) 0 100 140.00
45 0 23(66) 19(34) 0 100 120.00
46 0 28(50) 20(50) 0 100 140.00
47 0 49(34) 53(66) 0 100 280.00
48 0 46(66) 42(34) 0 100 240.00
49 0 63(66) 59(34) 0 100 320.00
50 0 56(66) 52(34) 0 100 280.00
51 0 42(50) 34(50) 0 100 220.00
52 0 75(50) 67(50) 0 100 380.00
53 0 57(34) 61(66) 0 100 320.00
54 0 66(34) 70(66) 0 100 360.00
55 0 80(66) 76(34) 0 100 400.00
56 0 65(50) 73(50) 0 100 380.00
57 0 71(66) 67(34) 0 100 360.00
58 0 73(34) 77(66) 0 100 400.00
59 0 74(34) 78(66) 0 100 400.00
60 0 64(66) 60(34) 0 100 320.00
Total Distance 13240.00
455
Table A.147: EMIP-MDA+ERTR solution to MDA12 with p = .4.
No. Route Load Distance
1 0 1(50) 8(50) 0 100 27.65
2 0 2(84) 0 84 20.00
3 0 43(66) 35(34) 0 100 120.00
4 0 4(84) 0 84 20.00
5 0 5(84) 0 84 20.00
6 0 65(50) 49(50) 0 100 180.00
7 0 62(66) 54(34) 0 100 160.00
8 0 67(34) 75(66) 0 100 200.00
9 0 38(50) 30(34) 0 84 100.00
10 0 64(66) 56(34) 0 100 160.00
11 0 78(66) 70(34) 0 100 200.00
12 0 18(34) 26(66) 0 100 79.99
13 0 1(34) 9(66) 0 100 40.00
14 0 80(66) 72(34) 0 100 200.00
15 0 53(34) 61(66) 0 100 160.00
16 0 10(66) 0 66 39.99
17 0 6(50) 7(50) 0 100 27.65
18 0 36(34) 28(66) 0 100 100.00
19 0 39(50) 23(50) 0 100 100.00
20 0 22(84) 0 84 60.01
21 0 50(34) 58(66) 0 100 160.00
22 0 42(66) 34(34) 0 100 120.01
23 0 77(66) 69(34) 0 100 200.00
24 0 60(39) 68(50) 0 89 180.00
25 0 71(50) 55(50) 0 100 180.00
26 0 51(34) 59(66) 0 100 160.00
27 0 32(66) 24(34) 0 100 80.00
28 0 33(34) 41(66) 0 100 120.00
29 0 7(34) 15(66) 0 100 40.00
30 0 68(34) 76(66) 0 100 200.01
31 0 17(34) 25(66) 0 100 80.00
32 0 13(66) 6(34) 0 100 44.74
33 0 23(34) 31(66) 0 100 80.00
(cont.)
456
Table A.147 continued.
No. Route Load Distance
34 0 72(50) 56(50) 0 100 180.00
35 0 69(50) 53(50) 0 100 180.00
36 0 66(50) 50(50) 0 100 180.00
37 0 39(34) 47(66) 0 100 120.00
38 0 17(50) 33(50) 0 100 100.00
39 0 65(34) 73(66) 0 100 200.00
40 0 54(50) 70(50) 0 100 180.00
41 0 52(84) 0 84 139.99
42 0 30(32) 14(66) 0 98 80.00
43 0 66(34) 74(66) 0 100 200.00
44 0 67(50) 51(50) 0 100 180.00
45 0 11(66) 0 66 40.00
46 0 19(34) 27(66) 0 100 80.00
47 0 21(50) 37(50) 0 100 100.00
48 0 40(50) 24(50) 0 100 100.00
49 0 45(66) 37(34) 0 100 120.00
50 0 49(34) 57(66) 0 100 160.00
51 0 21(34) 29(66) 0 100 80.00
52 0 20(50) 36(50) 0 100 100.00
53 0 19(50) 35(50) 0 100 100.00
54 0 60(27) 44(66) 0 93 159.99
55 0 18(50) 34(50) 0 100 100.00
56 0 16(66) 8(34) 0 100 39.99
57 0 38(34) 46(66) 0 100 120.00
58 0 55(34) 63(66) 0 100 160.00
59 0 79(66) 71(34) 0 100 200.00
60 0 20(34) 12(66) 0 100 59.99
61 0 3(84) 0 84 20.00
62 0 48(66) 40(34) 0 100 120.00
Total Distance 7260.01
457
Table A.148: EMIP-MDA+ERTR solution to MDA13 with p = .4.
No. Route Load Distance
1 0 18(50) 17(50) 0 100 82.95
2 0 3(84) 0 84 20.00
3 0 4(84) 0 84 20.00
4 0 33(50) 65(50) 0 100 180.00
5 0 6(84) 0 84 20.00
6 0 14(66) 7(34) 0 100 44.73
7 0 56(50) 40(50) 0 100 140.01
8 0 65(34) 73(66) 0 100 200.00
9 0 31(66) 15(27) 0 93 80.00
10 0 2(34) 10(66) 0 100 39.99
11 0 52(34) 60(66) 0 100 159.99
12 0 22(50) 5(50) 0 100 64.00
13 0 18(34) 26(66) 0 100 79.99
14 0 54(50) 38(50) 0 100 139.99
15 0 8(34) 16(66) 0 100 39.99
16 0 19(84) 0 84 60.00
17 0 20(84) 0 84 59.99
18 0 21(84) 0 84 60.00
19 0 95(66) 87(34) 0 100 240.00
20 0 23(84) 0 84 60.00
21 0 24(34) 32(66) 0 100 80.00
22 0 49(34) 57(66) 0 100 160.00
23 0 43(66) 51(34) 0 100 140.00
24 0 12(34) 11(66) 0 100 55.30
25 0 29(34) 61(66) 0 100 160.00
26 0 45(66) 29(32) 0 98 120.00
27 0 1(50) 2(50) 0 100 27.65
28 0 67(84) 0 84 180.00
29 0 69(34) 77(66) 0 100 200.00
30 0 8(50) 7(50) 0 100 27.65
31 0 39(50) 55(50) 0 100 140.00
32 0 86(50) 70(50) 0 100 220.00
33 0 40(34) 48(66) 0 100 120.00
(cont.)
458
Table A.148 continued.
No. Route Load Distance
34 0 34(34) 42(66) 0 100 120.01
35 0 35(50) 51(50) 0 100 140.00
36 0 22(34) 30(66) 0 100 80.00
37 0 70(34) 78(66) 0 100 200.00
38 0 38(34) 46(66) 0 100 120.00
39 0 33(34) 41(66) 0 100 120.00
40 0 39(34) 47(66) 0 100 120.00
41 0 82(50) 66(50) 0 100 220.00
42 0 52(50) 36(50) 0 100 139.99
43 0 53(84) 0 84 140.00
44 0 81(34) 89(66) 0 100 240.00
45 0 72(50) 88(50) 0 100 220.00
46 0 1(34) 9(66) 0 100 40.00
47 0 58(66) 50(34) 0 100 160.00
48 0 27(66) 35(34) 0 100 100.00
49 0 37(84) 0 84 100.00
50 0 86(34) 94(66) 0 100 239.99
51 0 72(34) 80(66) 0 100 200.00
52 0 49(50) 81(50) 0 100 220.00
53 0 50(50) 34(50) 0 100 140.01
54 0 59(32) 75(66) 0 98 200.00
55 0 84(34) 92(66) 0 100 240.01
56 0 85(34) 93(66) 0 100 240.00
57 0 24(50) 15(39) 0 89 71.25
58 0 87(50) 71(50) 0 100 220.00
59 0 17(34) 25(66) 0 100 80.00
60 0 66(34) 74(66) 0 100 200.00
61 0 5(34) 13(66) 0 100 40.00
62 0 54(34) 62(66) 0 100 160.00
63 0 55(34) 63(66) 0 100 160.00
64 0 88(34) 96(66) 0 100 240.01
65 0 83(84) 0 84 220.00
66 0 84(50) 68(50) 0 100 220.01
(cont.)
459
Table A.148 continued.
No. Route Load Distance
67 0 71(34) 79(66) 0 100 200.00
68 0 36(34) 44(66) 0 100 120.00
69 0 82(34) 90(66) 0 100 239.99
70 0 91(66) 59(34) 0 100 240.00
71 0 68(34) 76(66) 0 100 200.01
72 0 28(66) 12(32) 0 98 80.00
73 0 85(50) 69(50) 0 100 220.00
74 0 56(34) 64(66) 0 100 160.00
Total Distance 10233.50
460
Table A.149: EMIP-MDA+ERTR solution to MDA14 with p = .4.
No. Route Load Distance
1 0 2(84) 0 84 20.00
2 0 113(66) 101(34) 0 100 200.00
3 0 94(66) 82(34) 0 100 160.00
4 0 5(84) 0 84 20.00
5 0 6(84) 0 84 20.00
6 0 8(84) 0 84 20.00
7 0 97(34) 109(66) 0 100 200.00
8 0 63(66) 51(34) 0 100 120.00
9 0 81(50) 105(50) 0 100 180.01
10 0 100(34) 112(66) 0 100 200.00
11 0 70(66) 58(34) 0 100 120.00
12 0 84(34) 96(66) 0 100 160.01
13 0 3(50) 4(50) 0 100 25.18
14 0 48(66) 47(32) 0 98 100.70
15 0 16(66) 4(34) 0 100 40.00
16 0 31(50) 55(50) 0 100 100.00
17 0 61(27) 85(66) 0 93 160.00
18 0 52(50) 53(50) 0 100 125.88
19 0 118(66) 106(34) 0 100 200.00
20 0 25(34) 13(66) 0 100 60.00
21 0 98(34) 110(66) 0 100 200.00
22 0 28(84) 0 84 60.00
23 0 29(84) 0 84 60.00
24 0 74(50) 98(50) 0 100 180.00
25 0 117(66) 105(34) 0 100 200.01
26 0 88(66) 76(34) 0 100 160.00
27 0 80(50) 104(50) 0 100 180.00
28 0 75(50) 99(50) 0 100 180.00
29 0 22(66) 11(34) 0 100 42.39
30 0 36(84) 0 84 60.00
31 0 9(50) 7(50) 0 100 30.00
32 0 75(34) 87(66) 0 100 160.00
33 0 11(50) 10(50) 0 100 25.18
(cont.)
461
Table A.149 continued.
No. Route Load Distance
34 0 83(34) 95(66) 0 100 160.00
35 0 39(66) 27(34) 0 100 80.00
36 0 90(66) 78(34) 0 100 160.01
37 0 12(50) 1(50) 0 100 25.18
38 0 119(66) 107(34) 0 100 200.00
39 0 24(66) 12(34) 0 100 40.00
40 0 79(50) 103(50) 0 100 180.00
41 0 81(34) 93(66) 0 100 160.01
42 0 44(66) 32(34) 0 100 80.00
43 0 25(50) 49(50) 0 100 100.00
44 0 41(66) 18(34) 0 100 84.78
45 0 59(84) 0 84 100.01
46 0 92(66) 80(34) 0 100 160.00
47 0 20(66) 9(34) 0 100 42.39
48 0 42(66) 30(34) 0 100 80.00
49 0 43(66) 31(34) 0 100 80.00
50 0 74(34) 86(66) 0 100 160.00
51 0 15(66) 3(34) 0 100 40.00
52 0 58(50) 34(50) 0 100 100.00
53 0 54(34) 66(66) 0 100 120.00
54 0 10(34) 21(66) 0 100 42.39
55 0 116(66) 104(34) 0 100 200.00
56 0 23(66) 35(34) 0 100 60.00
57 0 73(84) 0 84 140.00
58 0 60(50) 35(50) 0 100 108.32
59 0 53(34) 65(66) 0 100 120.00
60 0 37(66) 49(34) 0 100 100.00
61 0 111(66) 99(34) 0 100 200.00
62 0 57(50) 33(50) 0 100 100.01
63 0 51(50) 27(50) 0 100 100.00
64 0 78(50) 102(50) 0 100 180.01
65 0 89(66) 77(34) 0 100 160.00
66 0 62(66) 50(34) 0 100 120.00
(cont.)
462
Table A.149 continued.
No. Route Load Distance
67 0 108(34) 120(66) 0 100 199.99
68 0 97(50) 61(39) 0 89 180.00
69 0 67(66) 55(34) 0 100 120.00
70 0 103(34) 115(66) 0 100 200.00
71 0 79(34) 91(66) 0 100 160.00
72 0 30(50) 54(50) 0 100 100.00
73 0 17(66) 18(32) 0 98 50.35
74 0 56(50) 32(50) 0 100 100.00
75 0 56(34) 68(66) 0 100 119.99
76 0 84(50) 108(50) 0 100 179.99
77 0 69(66) 57(34) 0 100 120.01
78 0 83(50) 107(50) 0 100 180.00
79 0 40(66) 0 66 80.00
80 0 46(66) 34(34) 0 100 80.00
81 0 72(66) 60(34) 0 100 120.01
82 0 77(50) 101(50) 0 100 180.01
83 0 45(66) 33(34) 0 100 80.00
84 0 38(66) 26(34) 0 100 80.00
85 0 64(66) 52(34) 0 100 120.00
86 0 71(66) 47(34) 0 100 120.00
87 0 102(34) 114(66) 0 100 200.01
88 0 19(66) 7(34) 0 100 40.00
89 0 82(50) 106(50) 0 100 180.00
90 0 50(50) 26(50) 0 100 100.00
91 0 100(50) 76(50) 0 100 180.00
92 0 14(66) 1(34) 0 100 42.39
Total Distance 10865.15
463
Table A.150: EMIP-MDA+ERTR solution to MDA15 with p = .4.
No. Route Load Distance
1 0 2(84) 0 84 20.00
2 0 73(50) 49(50) 0 100 140.00
3 0 4(34) 16(66) 0 100 40.00
4 0 60(34) 72(66) 0 100 120.01
5 0 7(84) 0 84 20.00
6 0 8(84) 0 84 20.00
7 0 53(34) 65(66) 0 100 120.00
8 0 9(84) 0 84 20.00
9 0 11(84) 0 84 20.00
10 0 117(66) 105(34) 0 100 200.01
11 0 83(50) 59(50) 0 100 140.00
12 0 59(34) 71(66) 0 100 120.00
13 0 55(34) 67(66) 0 100 120.00
14 0 80(50) 56(50) 0 100 140.00
15 0 82(50) 58(50) 0 100 140.00
16 0 31(84) 0 84 60.00
17 0 32(84) 0 84 60.00
18 0 10(84) 0 84 20.00
19 0 84(50) 60(50) 0 100 140.01
20 0 129(34) 141(66) 0 100 240.00
21 0 77(34) 89(66) 0 100 160.00
22 0 68(66) 56(34) 0 100 119.99
23 0 33(84) 0 84 60.00
24 0 97(34) 109(66) 0 100 200.00
25 0 26(34) 38(66) 0 100 80.00
26 0 57(34) 69(66) 0 100 120.01
27 0 58(34) 70(66) 0 100 120.00
28 0 102(50) 126(50) 0 100 220.01
29 0 22(66) 0 66 40.00
30 0 73(34) 85(66) 0 100 160.00
31 0 135(66) 123(34) 0 100 239.99
32 0 50(34) 62(66) 0 100 120.00
33 0 53(50) 29(50) 0 100 100.00
(cont.)
464
Table A.150 continued.
No. Route Load Distance
34 0 28(84) 0 84 60.00
35 0 12(34) 24(66) 0 100 40.00
36 0 5(34) 17(66) 0 100 40.00
37 0 128(34) 140(66) 0 100 240.00
38 0 104(34) 116(66) 0 100 200.00
39 0 74(50) 50(50) 0 100 140.00
40 0 49(34) 61(66) 0 100 120.00
41 0 121(34) 133(66) 0 100 240.00
42 0 98(50) 122(50) 0 100 220.00
43 0 75(50) 51(50) 0 100 140.00
44 0 6(34) 18(66) 0 100 40.00
45 0 36(34) 48(66) 0 100 80.01
46 0 105(50) 129(50) 0 100 220.01
47 0 19(66) 20(32) 0 98 50.35
48 0 134(66) 122(34) 0 100 239.99
49 0 128(50) 104(50) 0 100 220.00
50 0 1(34) 13(66) 0 100 40.00
51 0 30(34) 42(66) 0 100 80.00
52 0 81(34) 93(66) 0 100 160.01
53 0 83(34) 95(66) 0 100 160.00
54 0 5(50) 6(50) 0 100 25.18
55 0 118(66) 106(34) 0 100 200.00
56 0 107(34) 119(66) 0 100 200.00
57 0 75(34) 87(66) 0 100 160.00
58 0 97(50) 121(50) 0 100 220.00
59 0 76(84) 0 84 140.00
60 0 79(50) 55(50) 0 100 140.00
61 0 79(34) 91(66) 0 100 160.00
62 0 90(66) 78(34) 0 100 160.01
63 0 20(34) 21(66) 0 100 50.35
64 0 81(50) 57(50) 0 100 140.01
65 0 51(34) 63(66) 0 100 120.00
66 0 77(50) 78(50) 0 100 176.23
(cont.)
465
Table A.150 continued.
No. Route Load Distance
67 0 35(34) 47(66) 0 100 79.99
68 0 52(50) 40(39) 0 89 100.00
69 0 26(50) 27(50) 0 100 75.53
70 0 44(32) 45(66) 0 98 100.70
71 0 80(34) 92(66) 0 100 160.00
72 0 29(34) 41(66) 0 100 80.00
73 0 82(34) 94(66) 0 100 160.00
74 0 108(34) 120(66) 0 100 199.99
75 0 36(50) 12(50) 0 100 60.00
76 0 100(84) 0 84 180.00
77 0 101(50) 125(50) 0 100 220.00
78 0 102(34) 114(66) 0 100 200.01
79 0 25(50) 1(50) 0 100 60.00
80 0 23(66) 0 66 40.00
81 0 110(66) 98(34) 0 100 200.00
82 0 137(66) 125(34) 0 100 240.00
83 0 34(34) 46(66) 0 100 80.00
84 0 40(27) 39(66) 0 93 100.70
85 0 139(66) 127(34) 0 100 240.00
86 0 99(50) 123(50) 0 100 220.00
87 0 3(50) 4(50) 0 100 25.18
88 0 64(66) 52(34) 0 100 120.00
89 0 3(34) 14(66) 0 100 42.39
90 0 84(34) 96(66) 0 100 160.01
91 0 27(34) 15(66) 0 100 60.00
92 0 44(34) 43(66) 0 100 100.70
93 0 25(34) 37(66) 0 100 80.00
94 0 112(66) 88(34) 0 100 200.00
95 0 136(66) 88(32) 0 98 240.00
96 0 54(50) 30(50) 0 100 100.00
97 0 115(66) 103(34) 0 100 200.00
98 0 101(34) 113(66) 0 100 200.00
99 0 106(50) 130(50) 0 100 220.00
(cont.)
466
Table A.150 continued.
No. Route Load Distance
100 0 107(50) 131(50) 0 100 220.00
101 0 108(50) 132(50) 0 100 220.00
102 0 74(34) 86(66) 0 100 160.00
103 0 103(50) 127(50) 0 100 220.00
104 0 111(66) 99(34) 0 100 200.00
105 0 124(84) 0 84 220.00
106 0 126(34) 138(66) 0 100 240.00
107 0 34(50) 35(50) 0 100 75.53
108 0 54(34) 66(66) 0 100 120.00
109 0 130(34) 142(66) 0 100 240.00
110 0 131(34) 143(66) 0 100 239.99
111 0 132(34) 144(66) 0 100 240.00
Total Distance 15202.85
467
Table A.151: EMIP-MDA+ERTR solution to MDA16 with p = .4.
No. Route Load Distance
1 0 1(84) 0 84 20.00
2 0 2(84) 0 84 20.00
3 0 3(84) 0 84 20.01
4 0 4(84) 0 84 20.00
5 0 5(84) 0 84 20.01
6 0 6(84) 0 84 20.00
7 0 7(84) 0 84 20.00
8 0 8(84) 0 84 20.00
9 0 9(84) 0 84 20.00
10 0 10(84) 0 84 20.00
11 0 11(84) 0 84 20.00
12 0 12(84) 0 84 20.00
13 0 13(84) 0 84 20.00
14 0 14(84) 0 84 20.00
15 0 15(84) 0 84 20.01
16 0 16(84) 0 84 20.00
17 0 17(84) 0 84 20.01
18 0 18(84) 0 84 20.00
19 0 19(84) 0 84 20.00
20 0 20(84) 0 84 20.00
21 0 21(84) 0 84 20.01
22 0 22(84) 0 84 20.00
23 0 23(84) 0 84 20.01
24 0 24(84) 0 84 20.00
25 0 25(84) 0 84 20.00
26 0 26(84) 0 84 20.00
27 0 27(84) 0 84 20.00
28 0 28(84) 0 84 20.00
29 0 29(84) 0 84 20.00
30 0 30(84) 0 84 20.00
31 0 31(84) 0 84 20.00
32 0 32(84) 0 84 20.00
33 0 34(84) 0 84 20.00
(cont.)
468
Table A.151 continued.
No. Route Load Distance
34 0 103(34) 104(66) 0 100 41.75
35 0 35(84) 0 84 20.01
36 0 36(84) 0 84 20.00
37 0 37(84) 0 84 20.00
38 0 38(84) 0 84 20.00
39 0 39(84) 0 84 20.01
40 0 41(84) 0 84 20.01
41 0 40(84) 0 84 20.00
42 0 43(84) 0 84 20.00
43 0 42(84) 0 84 20.00
44 0 44(84) 0 84 19.99
45 0 45(84) 0 84 20.00
46 0 47(84) 0 84 20.00
47 0 46(84) 0 84 20.00
48 0 48(84) 0 84 20.00
49 0 49(84) 0 84 20.00
50 0 50(84) 0 84 20.00
51 0 51(84) 0 84 20.01
52 0 52(84) 0 84 20.00
53 0 53(84) 0 84 20.01
54 0 54(84) 0 84 20.00
55 0 55(84) 0 84 20.00
56 0 56(84) 0 84 20.00
57 0 57(84) 0 84 20.01
58 0 58(84) 0 84 20.00
59 0 60(84) 0 84 19.99
60 0 59(84) 0 84 20.01
61 0 61(84) 0 84 20.00
62 0 62(84) 0 84 19.99
63 0 63(84) 0 84 20.00
64 0 64(84) 0 84 20.00
65 0 65(84) 0 84 20.00
66 0 66(84) 0 84 20.00
(cont.)
469
Table A.151 continued.
No. Route Load Distance
67 0 68(84) 0 84 20.00
68 0 67(84) 0 84 20.00
69 0 70(84) 0 84 20.00
70 0 69(84) 0 84 20.01
71 0 71(84) 0 84 20.01
72 0 72(84) 0 84 20.00
73 0 81(66) 82(32) 0 98 41.74
74 0 79(34) 78(66) 0 100 41.75
75 0 73(34) 144(66) 0 100 41.75
76 0 83(66) 82(34) 0 100 41.74
77 0 142(34) 143(66) 0 100 41.75
78 0 80(66) 79(32) 0 98 41.74
79 0 76(32) 75(66) 0 98 41.76
80 0 84(66) 85(34) 0 100 41.74
81 0 85(32) 86(66) 0 98 41.75
82 0 88(34) 87(66) 0 100 41.74
83 0 89(66) 88(32) 0 98 41.76
84 0 90(66) 91(34) 0 100 41.74
85 0 91(32) 92(66) 0 98 41.74
86 0 95(32) 93(66) 0 98 43.49
87 0 94(66) 95(34) 0 100 41.74
88 0 96(66) 97(32) 0 98 41.75
89 0 97(34) 98(66) 0 100 41.74
90 0 101(66) 100(32) 0 98 41.74
91 0 102(66) 103(32) 0 98 41.74
92 0 100(34) 99(66) 0 100 41.74
93 0 33(84) 0 84 20.01
94 0 109(34) 108(66) 0 100 41.74
95 0 112(32) 111(66) 0 98 41.75
96 0 106(34) 105(66) 0 100 41.74
97 0 128(66) 127(32) 0 98 41.74
98 0 107(66) 106(32) 0 98 41.76
99 0 125(66) 124(34) 0 100 41.75
(cont.)
470
Table A.151 continued.
No. Route Load Distance
100 0 115(32) 114(66) 0 98 41.75
101 0 109(32) 110(66) 0 98 41.74
102 0 118(34) 119(66) 0 100 41.74
103 0 121(32) 122(66) 0 98 41.75
104 0 133(32) 134(66) 0 98 41.74
105 0 112(34) 113(66) 0 100 41.75
106 0 121(34) 120(66) 0 100 41.74
107 0 115(34) 116(66) 0 100 41.74
108 0 118(32) 117(66) 0 98 41.74
109 0 129(66) 130(32) 0 98 41.75
110 0 127(34) 126(66) 0 100 41.75
111 0 124(32) 123(66) 0 98 41.74
112 0 131(66) 130(34) 0 100 41.75
113 0 136(34) 135(66) 0 100 41.74
114 0 133(34) 132(66) 0 100 41.75
115 0 76(34) 77(66) 0 100 41.74
116 0 136(32) 137(66) 0 98 41.74
117 0 141(66) 142(32) 0 98 41.74
118 0 139(32) 138(66) 0 98 41.74
119 0 140(66) 139(34) 0 100 41.73
120 0 73(32) 74(66) 0 98 41.74
Total Distance 3445.50
471
Table A.152: EMIP-MDA+ERTR solution to MDA17 with p = .4.
No. Route Load Distance
1 0 160(66) 152(34) 0 100 400.00
2 0 10(66) 2(34) 0 100 39.99
3 0 11(66) 0 66 40.00
4 0 4(84) 0 84 20.00
5 0 6(84) 0 84 20.00
6 0 5(84) 0 84 20.00
7 0 7(50) 16(50) 0 100 44.73
8 0 101(34) 109(66) 0 100 280.00
9 0 33(34) 41(66) 0 100 120.00
10 0 28(66) 20(34) 0 100 80.00
11 0 64(27) 80(66) 0 93 200.00
12 0 3(84) 0 84 20.00
13 0 142(66) 134(34) 0 100 359.99
14 0 39(34) 47(66) 0 100 120.00
15 0 24(84) 0 84 60.01
16 0 78(66) 86(34) 0 100 220.00
17 0 125(66) 117(34) 0 100 320.00
18 0 26(66) 18(34) 0 100 79.99
19 0 21(84) 0 84 60.00
20 0 17(34) 25(66) 0 100 80.00
21 0 149(50) 133(50) 0 100 380.00
22 0 68(34) 76(66) 0 100 200.01
23 0 97(50) 113(50) 0 100 300.00
24 0 65(50) 81(50) 0 100 220.00
25 0 77(66) 69(34) 0 100 200.00
26 0 104(34) 112(66) 0 100 280.00
27 0 67(50) 51(50) 0 100 180.00
28 0 65(34) 73(66) 0 100 200.00
29 0 20(50) 12(39) 0 89 59.99
30 0 12(27) 29(66) 0 93 89.47
31 0 1(50) 2(50) 0 100 27.65
32 0 107(27) 123(66) 0 93 320.00
33 0 93(66) 85(34) 0 100 240.00
(cont.)
472
Table A.152 continued.
No. Route Load Distance
34 0 98(34) 106(66) 0 100 280.00
35 0 120(50) 104(50) 0 100 300.00
36 0 74(66) 66(34) 0 100 200.00
37 0 158(66) 150(34) 0 100 400.00
38 0 88(50) 64(39) 0 89 220.00
39 0 39(50) 23(50) 0 100 100.00
40 0 114(50) 98(50) 0 100 300.00
41 0 32(66) 40(34) 0 100 100.00
42 0 103(34) 111(66) 0 100 280.00
43 0 94(66) 110(34) 0 100 280.00
44 0 38(50) 22(50) 0 100 100.00
45 0 52(50) 36(50) 0 100 139.99
46 0 144(66) 136(34) 0 100 360.00
47 0 56(50) 40(50) 0 100 140.01
48 0 68(50) 84(50) 0 100 220.01
49 0 132(50) 148(50) 0 100 380.00
50 0 114(34) 122(66) 0 100 319.99
51 0 137(66) 129(34) 0 100 360.00
52 0 88(34) 96(66) 0 100 240.01
53 0 82(34) 90(66) 0 100 239.99
54 0 16(16) 72(84) 0 100 180.00
55 0 97(34) 105(66) 0 100 280.00
56 0 38(34) 46(66) 0 100 120.00
57 0 37(50) 53(50) 0 100 140.00
58 0 19(34) 27(66) 0 100 80.00
59 0 61(66) 53(34) 0 100 160.00
60 0 84(34) 92(66) 0 100 240.01
61 0 35(34) 43(66) 0 100 120.00
62 0 128(66) 120(34) 0 100 320.01
63 0 70(50) 86(50) 0 100 220.00
64 0 55(84) 0 84 140.00
65 0 7(34) 15(66) 0 100 40.00
66 0 151(34) 159(66) 0 100 400.00
(cont.)
473
Table A.152 continued.
No. Route Load Distance
67 0 42(66) 34(34) 0 100 120.01
68 0 8(84) 0 84 20.00
69 0 118(84) 0 84 300.00
70 0 83(84) 0 84 220.00
71 0 87(50) 103(50) 0 100 260.00
72 0 17(50) 18(50) 0 100 82.95
73 0 35(50) 19(50) 0 100 100.00
74 0 58(66) 50(34) 0 100 160.00
75 0 100(34) 108(66) 0 100 280.00
76 0 34(50) 50(50) 0 100 140.01
77 0 126(66) 110(32) 0 98 319.99
78 0 113(34) 121(66) 0 100 320.00
79 0 152(50) 136(50) 0 100 380.00
80 0 145(50) 129(50) 0 100 380.00
81 0 30(66) 22(34) 0 100 80.00
82 0 115(84) 0 84 300.00
83 0 59(66) 51(34) 0 100 160.00
84 0 13(66) 0 66 40.00
85 0 62(66) 70(34) 0 100 180.00
86 0 95(27) 79(66) 0 93 240.00
87 0 14(66) 0 66 39.99
88 0 66(50) 82(50) 0 100 220.00
89 0 102(84) 0 84 259.99
90 0 99(50) 147(50) 0 100 380.00
91 0 133(34) 141(66) 0 100 360.00
92 0 95(39) 119(50) 0 89 300.00
93 0 89(66) 81(34) 0 100 240.00
94 0 150(50) 134(50) 0 100 380.00
95 0 99(34) 91(66) 0 100 260.00
96 0 156(66) 148(34) 0 100 400.00
97 0 117(50) 101(50) 0 100 300.00
98 0 138(66) 130(34) 0 100 360.00
99 0 31(66) 23(34) 0 100 80.00
(cont.)
474
Table A.152 continued.
No. Route Load Distance
100 0 49(50) 33(50) 0 100 140.00
101 0 71(84) 0 84 180.00
102 0 107(39) 131(50) 0 89 340.00
103 0 85(50) 69(50) 0 100 220.00
104 0 44(66) 36(34) 0 100 120.00
105 0 146(50) 130(50) 0 100 380.00
106 0 54(84) 0 84 139.99
107 0 139(66) 131(34) 0 100 360.00
108 0 153(66) 145(34) 0 100 400.00
109 0 48(66) 56(34) 0 100 140.01
110 0 147(34) 155(66) 0 100 400.00
111 0 124(66) 116(34) 0 100 319.99
112 0 149(34) 157(66) 0 100 400.00
113 0 63(66) 87(34) 0 100 220.00
114 0 135(34) 143(66) 0 100 360.00
115 0 9(66) 1(34) 0 100 40.00
116 0 37(34) 45(66) 0 100 120.00
117 0 140(66) 132(34) 0 100 360.00
118 0 151(50) 135(50) 0 100 380.00
119 0 52(34) 60(66) 0 100 159.99
120 0 146(34) 154(66) 0 100 400.00
121 0 100(50) 116(50) 0 100 300.00
122 0 49(34) 57(66) 0 100 160.00
123 0 127(66) 119(34) 0 100 320.00
124 0 67(34) 75(66) 0 100 200.00
Total Distance 26904.73
475
Table A.153: EMIP-MDA+ERTR solution to MDA18 with p = .4.
No. Route Load Distance
1 0 2(84) 0 84 20.00
2 0 1(84) 0 84 20.00
3 0 4(84) 0 84 20.00
4 0 3(84) 0 84 20.00
5 0 5(84) 0 84 20.00
6 0 41(50) 40(50) 0 100 71.71
7 0 8(84) 0 84 20.00
8 0 100(50) 132(50) 0 100 180.00
9 0 127(66) 111(34) 0 100 160.00
10 0 140(34) 156(66) 0 100 199.99
11 0 56(66) 40(34) 0 100 79.99
12 0 13(84) 0 84 20.00
13 0 142(50) 110(50) 0 100 179.99
14 0 14(84) 0 84 20.00
15 0 18(39) 19(39) 0 78 47.81
16 0 73(34) 89(66) 0 100 120.00
17 0 146(66) 130(34) 0 100 200.01
18 0 112(50) 65(50) 0 100 150.56
19 0 157(66) 141(34) 0 100 200.00
20 0 39(84) 0 84 59.99
21 0 7(50) 6(50) 0 100 23.90
22 0 58(66) 42(34) 0 100 80.00
23 0 76(50) 75(50) 0 100 119.51
24 0 139(34) 155(66) 0 100 200.00
25 0 29(66) 0 66 40.00
26 0 61(66) 30(27) 0 93 82.84
27 0 53(66) 37(34) 0 100 80.00
28 0 42(50) 43(50) 0 100 71.71
29 0 125(66) 109(34) 0 100 160.00
30 0 48(84) 0 84 60.00
31 0 34(84) 0 84 60.01
32 0 150(66) 134(34) 0 100 200.00
33 0 76(34) 92(66) 0 100 120.00
(cont.)
476
Table A.153 continued.
No. Route Load Distance
34 0 99(34) 115(66) 0 100 160.00
35 0 133(50) 101(50) 0 100 180.00
36 0 98(50) 130(50) 0 100 180.00
37 0 97(34) 81(66) 0 100 140.00
38 0 132(34) 148(66) 0 100 200.01
39 0 122(66) 106(34) 0 100 160.00
40 0 85(66) 69(34) 0 100 120.00
41 0 45(84) 0 84 60.00
42 0 109(50) 141(50) 0 100 180.00
43 0 142(34) 158(66) 0 100 199.99
44 0 80(84) 0 84 100.00
45 0 33(84) 0 84 60.00
46 0 71(34) 87(66) 0 100 120.00
47 0 147(66) 131(34) 0 100 200.00
48 0 65(34) 49(66) 0 100 100.00
49 0 72(34) 88(66) 0 100 120.00
50 0 78(50) 77(50) 0 100 119.52
51 0 78(34) 94(66) 0 100 120.00
52 0 90(66) 74(34) 0 100 120.01
53 0 99(50) 131(50) 0 100 180.00
54 0 44(84) 0 84 59.99
55 0 140(50) 108(50) 0 100 179.99
56 0 24(66) 7(34) 0 100 41.43
57 0 11(50) 12(50) 0 100 23.90
58 0 104(34) 120(66) 0 100 160.00
59 0 54(66) 38(34) 0 100 80.01
60 0 137(34) 153(66) 0 100 200.00
61 0 68(84) 0 84 100.00
62 0 67(50) 66(50) 0 100 119.50
63 0 117(66) 101(34) 0 100 160.00
64 0 154(66) 138(34) 0 100 200.00
65 0 12(34) 28(66) 0 100 40.01
66 0 151(66) 135(34) 0 100 200.01
(cont.)
477
Table A.153 continued.
No. Route Load Distance
67 0 35(50) 36(50) 0 100 71.71
68 0 112(34) 96(66) 0 100 140.01
69 0 15(50) 16(50) 0 100 23.90
70 0 16(34) 32(66) 0 100 40.01
71 0 22(32) 21(66) 0 98 47.80
72 0 17(66) 0 66 40.00
73 0 26(66) 10(34) 0 100 40.00
74 0 128(32) 113(66) 0 98 191.24
75 0 100(34) 116(66) 0 100 160.00
76 0 25(66) 9(34) 0 100 40.00
77 0 119(66) 103(34) 0 100 159.99
78 0 23(66) 6(34) 0 100 41.41
79 0 129(34) 145(66) 0 100 200.00
80 0 20(66) 0 66 40.00
81 0 108(34) 124(66) 0 100 160.00
82 0 11(34) 27(66) 0 100 39.99
83 0 64(66) 0 66 79.99
84 0 136(34) 152(66) 0 100 199.99
85 0 82(66) 66(34) 0 100 119.99
86 0 97(50) 129(50) 0 100 180.00
87 0 35(34) 51(66) 0 100 79.99
88 0 114(66) 98(34) 0 100 160.00
89 0 63(66) 47(34) 0 100 80.00
90 0 110(34) 126(66) 0 100 159.99
91 0 36(34) 52(66) 0 100 79.99
92 0 138(50) 106(50) 0 100 179.99
93 0 37(50) 38(50) 0 100 71.71
94 0 83(66) 67(34) 0 100 120.01
95 0 137(50) 105(50) 0 100 180.00
96 0 15(34) 31(66) 0 100 39.99
97 0 59(66) 43(34) 0 100 80.00
98 0 93(66) 77(34) 0 100 120.00
99 0 103(50) 135(50) 0 100 180.00
(cont.)
478
Table A.153 continued.
No. Route Load Distance
100 0 136(50) 104(50) 0 100 180.01
101 0 62(66) 46(34) 0 100 80.00
102 0 160(66) 128(34) 0 100 199.99
103 0 86(66) 70(34) 0 100 119.99
104 0 79(50) 47(50) 0 100 100.00
105 0 111(50) 143(50) 0 100 180.00
106 0 139(50) 107(50) 0 100 180.00
107 0 118(66) 102(34) 0 100 160.00
108 0 105(34) 121(66) 0 100 160.00
109 0 144(84) 0 84 180.00
110 0 102(50) 134(50) 0 100 180.00
111 0 60(66) 0 66 79.99
112 0 70(50) 69(50) 0 100 119.51
113 0 55(66) 22(34) 0 100 82.85
114 0 84(66) 19(27) 0 93 122.22
115 0 79(34) 95(66) 0 100 120.00
116 0 50(66) 18(27) 0 93 80.01
117 0 159(66) 143(34) 0 100 200.00
118 0 149(66) 133(34) 0 100 200.00
119 0 107(34) 123(66) 0 100 160.00
120 0 30(39) 46(50) 0 89 60.01
121 0 71(50) 72(50) 0 100 119.51
122 0 41(34) 57(66) 0 100 80.00
123 0 75(34) 91(66) 0 100 120.00
124 0 74(50) 73(50) 0 100 119.51
125 0 10(50) 9(50) 0 100 23.91
Total Distance 14447.59
479
Table A.154: EMIP-MDA+ERTR solution to MDA19 with p = .4.
No. Route Load Distance
1 0 16(84) 0 84 20.00
2 0 1(84) 0 84 20.00
3 0 2(84) 0 84 20.00
4 0 183(66) 167(34) 0 100 240.01
5 0 3(84) 0 84 20.00
6 0 181(66) 165(34) 0 100 240.00
7 0 6(84) 0 84 20.00
8 0 7(84) 0 84 20.00
9 0 9(84) 0 84 20.00
10 0 10(84) 0 84 20.00
11 0 121(66) 105(34) 0 100 160.00
12 0 167(50) 135(50) 0 100 220.01
13 0 45(34) 61(66) 0 100 80.00
14 0 91(66) 75(34) 0 100 120.00
15 0 14(84) 0 84 20.00
16 0 15(84) 0 84 20.00
17 0 179(66) 163(34) 0 100 239.99
18 0 78(34) 94(66) 0 100 120.00
19 0 35(84) 0 84 59.99
20 0 56(66) 40(34) 0 100 79.99
21 0 99(50) 100(50) 0 100 167.31
22 0 38(84) 0 84 60.01
23 0 161(50) 129(50) 0 100 220.00
24 0 8(84) 0 84 20.00
25 0 74(34) 90(66) 0 100 120.01
26 0 149(66) 133(34) 0 100 200.00
27 0 20(66) 4(34) 0 100 40.00
28 0 190(66) 174(34) 0 100 240.00
29 0 47(84) 0 84 60.01
30 0 191(66) 159(32) 0 98 240.01
31 0 115(66) 99(34) 0 100 160.00
32 0 104(50) 72(50) 0 100 140.00
33 0 22(66) 0 66 40.00
(cont.)
480
Table A.154 continued.
No. Route Load Distance
34 0 68(84) 0 84 100.00
35 0 102(50) 70(50) 0 100 139.99
36 0 39(84) 0 84 59.99
37 0 92(32) 124(66) 0 98 160.00
38 0 41(50) 42(50) 0 100 71.71
39 0 62(66) 46(34) 0 100 80.00
40 0 43(84) 0 84 60.01
41 0 95(66) 111(34) 0 100 140.01
42 0 73(34) 89(66) 0 100 120.00
43 0 79(50) 80(50) 0 100 119.51
44 0 65(84) 0 84 100.00
45 0 55(66) 71(34) 0 100 100.00
46 0 88(66) 72(34) 0 100 120.00
47 0 100(34) 116(66) 0 100 160.00
48 0 157(66) 141(34) 0 100 200.00
49 0 155(66) 139(34) 0 100 200.00
50 0 84(66) 83(27) 0 93 143.41
51 0 174(50) 142(50) 0 100 219.99
52 0 156(66) 140(34) 0 100 199.99
53 0 66(34) 82(66) 0 100 119.99
54 0 105(50) 137(50) 0 100 180.00
55 0 143(50) 111(50) 0 100 180.00
56 0 23(66) 0 66 39.99
57 0 148(66) 132(34) 0 100 200.01
58 0 33(84) 0 84 60.00
59 0 37(50) 36(50) 0 100 71.71
60 0 67(84) 0 84 100.00
61 0 75(50) 107(50) 0 100 139.99
62 0 163(50) 131(50) 0 100 220.00
63 0 162(50) 130(50) 0 100 220.00
64 0 17(66) 0 66 40.00
65 0 134(34) 150(66) 0 100 200.00
66 0 80(34) 81(66) 0 100 133.60
(cont.)
481
Table A.154 continued.
No. Route Load Distance
67 0 87(39) 71(50) 0 89 120.00
68 0 48(84) 0 84 60.00
69 0 63(66) 79(34) 0 100 100.00
70 0 110(34) 126(66) 0 100 159.99
71 0 93(66) 77(34) 0 100 120.00
72 0 4(50) 5(50) 0 100 23.91
73 0 57(66) 41(34) 0 100 80.00
74 0 66(50) 34(50) 0 100 99.99
75 0 120(66) 104(34) 0 100 160.00
76 0 54(66) 0 66 80.01
77 0 30(66) 0 66 40.00
78 0 64(66) 32(32) 0 98 79.99
79 0 164(34) 180(66) 0 100 240.00
80 0 182(66) 166(34) 0 100 240.01
81 0 11(50) 12(50) 0 100 23.90
82 0 18(32) 49(66) 0 98 82.84
83 0 171(34) 187(66) 0 100 239.99
84 0 60(66) 76(34) 0 100 100.00
85 0 24(66) 0 66 40.01
86 0 103(84) 0 84 139.99
87 0 139(50) 171(50) 0 100 220.00
88 0 106(84) 0 84 139.99
89 0 112(34) 96(66) 0 100 140.01
90 0 108(84) 0 84 140.01
91 0 86(66) 70(34) 0 100 119.99
92 0 76(50) 77(50) 0 100 119.50
93 0 101(50) 69(50) 0 100 140.00
94 0 92(34) 123(66) 0 100 173.63
95 0 114(66) 98(34) 0 100 160.00
96 0 192(66) 176(34) 0 100 240.00
97 0 31(66) 32(34) 0 100 47.80
98 0 69(34) 85(66) 0 100 120.00
99 0 160(66) 159(34) 0 100 239.01
(cont.)
482
Table A.154 continued.
No. Route Load Distance
100 0 184(66) 168(34) 0 100 240.00
101 0 144(50) 176(50) 0 100 220.00
102 0 168(50) 136(50) 0 100 219.99
103 0 186(66) 154(27) 0 93 240.00
104 0 109(84) 0 84 140.00
105 0 128(66) 144(34) 0 100 180.00
106 0 152(66) 136(34) 0 100 199.99
107 0 118(66) 102(34) 0 100 160.00
108 0 97(34) 113(66) 0 100 160.00
109 0 18(34) 51(66) 0 100 82.83
110 0 29(66) 13(34) 0 100 40.00
111 0 97(50) 112(50) 0 100 167.33
112 0 138(84) 0 84 179.99
113 0 5(34) 21(66) 0 100 40.00
114 0 166(50) 134(50) 0 100 220.00
115 0 146(66) 130(34) 0 100 200.01
116 0 153(66) 137(34) 0 100 200.00
117 0 42(34) 58(66) 0 100 80.00
118 0 132(50) 164(50) 0 100 220.01
119 0 133(50) 165(50) 0 100 220.00
120 0 44(50) 13(50) 0 100 61.10
121 0 19(66) 0 66 39.99
122 0 59(66) 44(34) 0 100 86.81
123 0 161(34) 177(66) 0 100 240.00
124 0 169(34) 185(66) 0 100 240.00
125 0 147(66) 131(34) 0 100 200.00
126 0 87(27) 119(66) 0 93 159.99
127 0 73(50) 74(50) 0 100 119.51
128 0 46(50) 45(50) 0 100 71.71
129 0 162(34) 178(66) 0 100 240.01
130 0 25(39) 40(50) 0 89 63.84
131 0 129(34) 145(66) 0 100 200.00
132 0 37(34) 53(66) 0 100 80.00
(cont.)
483
Table A.154 continued.
No. Route Load Distance
133 0 26(66) 25(27) 0 93 47.80
134 0 151(66) 135(34) 0 100 200.01
135 0 170(84) 0 84 219.99
136 0 107(34) 122(66) 0 100 180.85
137 0 173(84) 0 84 220.00
138 0 110(50) 78(50) 0 100 140.01
139 0 175(84) 0 84 220.00
140 0 28(66) 12(34) 0 100 40.01
141 0 101(34) 117(66) 0 100 160.00
142 0 172(34) 188(66) 0 100 240.00
143 0 11(34) 27(66) 0 100 39.99
144 0 83(39) 98(50) 0 89 157.19
145 0 50(66) 34(34) 0 100 80.01
146 0 141(50) 125(39) 0 89 180.00
147 0 169(50) 154(39) 0 89 252.13
148 0 158(66) 142(34) 0 100 199.99
149 0 143(34) 127(66) 0 100 180.00
150 0 52(66) 36(34) 0 100 79.99
151 0 172(50) 140(50) 0 100 220.00
152 0 189(66) 125(27) 0 93 240.00
Total Distance 20608.91
484
Table A.155: EMIP-MDA+ERTR solution to MDA20 with p = .4.
No. Route Load Distance
1 0 78(50) 54(50) 0 100 140.00
2 0 130(34) 118(66) 0 100 220.00
3 0 200(50) 224(50) 0 100 380.01
4 0 5(84) 0 84 20.00
5 0 179(34) 191(66) 0 100 320.01
6 0 125(50) 101(50) 0 100 220.00
7 0 142(34) 141(66) 0 100 302.11
8 0 10(84) 0 84 20.00
9 0 34(34) 46(66) 0 100 80.00
10 0 12(84) 0 84 20.00
11 0 50(34) 62(66) 0 100 120.00
12 0 2(84) 0 84 20.00
13 0 124(50) 100(50) 0 100 220.00
14 0 82(50) 58(50) 0 100 140.00
15 0 223(34) 235(66) 0 100 400.00
16 0 30(84) 0 84 60.00
17 0 6(84) 0 84 20.00
18 0 32(84) 0 84 60.00
19 0 9(84) 0 84 20.00
20 0 72(39) 60(50) 0 89 120.01
21 0 217(50) 193(50) 0 100 380.00
22 0 156(34) 192(66) 0 100 320.00
23 0 155(34) 167(66) 0 100 279.99
24 0 44(32) 93(66) 0 98 169.57
25 0 7(50) 8(50) 0 100 25.18
26 0 79(50) 55(50) 0 100 140.00
27 0 49(50) 25(50) 0 100 100.00
28 0 35(84) 0 84 60.00
29 0 36(84) 0 84 60.00
30 0 51(50) 3(50) 0 100 100.00
31 0 27(84) 0 84 60.00
32 0 121(34) 133(66) 0 100 240.00
33 0 142(32) 166(66) 0 98 280.00
(cont.)
485
Table A.155 continued.
No. Route Load Distance
34 0 152(50) 164(39) 0 89 280.00
35 0 33(34) 45(66) 0 100 80.00
36 0 222(50) 174(50) 0 100 380.00
37 0 72(27) 120(66) 0 93 199.99
38 0 203(34) 215(66) 0 100 360.01
39 0 13(32) 14(66) 0 98 50.35
40 0 29(50) 41(39) 0 89 80.00
41 0 56(50) 33(50) 0 100 108.32
42 0 31(84) 0 84 60.00
43 0 164(27) 188(66) 0 93 320.00
44 0 199(50) 223(50) 0 100 380.00
45 0 21(66) 0 66 40.00
46 0 131(34) 143(66) 0 100 239.99
47 0 28(34) 16(66) 0 100 60.00
48 0 84(34) 96(66) 0 100 160.01
49 0 149(34) 161(66) 0 100 280.00
50 0 102(50) 126(50) 0 100 220.01
51 0 26(34) 38(66) 0 100 80.00
52 0 50(50) 26(50) 0 100 100.00
53 0 169(50) 145(50) 0 100 300.00
54 0 11(34) 23(66) 0 100 40.00
55 0 81(84) 0 84 140.01
56 0 97(34) 109(66) 0 100 200.00
57 0 177(50) 153(50) 0 100 300.00
58 0 171(50) 147(50) 0 100 299.99
59 0 225(50) 201(50) 0 100 379.99
60 0 74(84) 0 84 140.00
61 0 41(27) 40(66) 0 93 100.70
62 0 171(34) 183(66) 0 100 319.99
63 0 219(34) 231(66) 0 100 400.00
64 0 104(50) 128(50) 0 100 220.00
65 0 80(84) 0 84 140.00
66 0 147(34) 159(66) 0 100 279.99
(cont.)
486
Table A.155 continued.
No. Route Load Distance
67 0 193(34) 205(66) 0 100 360.00
68 0 1(50) 11(50) 0 100 30.00
69 0 145(34) 157(66) 0 100 280.00
70 0 123(84) 0 84 220.00
71 0 100(34) 112(66) 0 100 200.00
72 0 99(34) 87(66) 0 100 180.00
73 0 173(34) 185(66) 0 100 320.00
74 0 79(34) 91(66) 0 100 160.00
75 0 172(50) 148(50) 0 100 300.00
76 0 146(34) 158(66) 0 100 279.99
77 0 102(34) 90(66) 0 100 180.01
78 0 114(66) 126(34) 0 100 220.01
79 0 177(34) 189(66) 0 100 320.00
80 0 105(50) 57(50) 0 100 180.01
81 0 132(34) 144(66) 0 100 240.00
82 0 175(50) 151(50) 0 100 300.00
83 0 28(50) 4(50) 0 100 60.00
84 0 73(34) 85(66) 0 100 160.00
85 0 200(34) 212(66) 0 100 359.99
86 0 129(84) 0 84 220.01
87 0 106(84) 0 84 180.00
88 0 224(34) 236(66) 0 100 400.01
89 0 108(84) 0 84 179.99
90 0 187(66) 175(34) 0 100 320.00
91 0 7(34) 19(66) 0 100 40.00
92 0 204(34) 216(66) 0 100 360.00
93 0 184(66) 172(34) 0 100 320.00
94 0 209(66) 197(34) 0 100 360.00
95 0 169(34) 181(66) 0 100 320.00
96 0 57(34) 69(66) 0 100 120.01
97 0 8(34) 20(66) 0 100 40.00
98 0 195(34) 207(66) 0 100 359.99
99 0 53(50) 77(50) 0 100 140.00
(cont.)
487
Table A.155 continued.
No. Route Load Distance
100 0 54(34) 42(66) 0 100 100.00
101 0 55(34) 67(66) 0 100 120.00
102 0 115(66) 103(34) 0 100 200.00
103 0 122(50) 98(50) 0 100 220.00
104 0 132(50) 84(50) 0 100 220.00
105 0 210(66) 186(34) 0 100 360.00
106 0 104(34) 92(66) 0 100 180.00
107 0 214(66) 154(34) 0 100 360.00
108 0 197(50) 221(50) 0 100 380.00
109 0 135(32) 111(66) 0 98 239.99
110 0 25(34) 37(66) 0 100 80.00
111 0 196(34) 208(66) 0 100 360.00
112 0 239(66) 227(34) 0 100 400.00
113 0 83(50) 59(50) 0 100 140.00
114 0 127(34) 139(66) 0 100 240.00
115 0 162(66) 150(34) 0 100 280.00
116 0 4(34) 18(66) 0 100 47.32
117 0 226(50) 178(50) 0 100 380.00
118 0 203(50) 227(50) 0 100 380.00
119 0 101(34) 113(66) 0 100 200.00
120 0 131(50) 107(50) 0 100 220.00
121 0 138(34) 186(32) 174(34) 0 100 320.00
122 0 44(34) 43(66) 0 100 100.70
123 0 3(34) 15(66) 0 100 40.00
124 0 156(50) 121(50) 0 100 305.07
125 0 170(34) 182(66) 0 100 320.01
126 0 234(66) 222(34) 0 100 400.00
127 0 225(34) 237(66) 0 100 399.99
128 0 58(34) 70(66) 0 100 120.00
129 0 194(50) 218(50) 0 100 380.01
130 0 59(34) 71(66) 0 100 120.00
131 0 228(34) 240(66) 0 100 400.00
132 0 77(34) 89(66) 0 100 160.00
(cont.)
488
Table A.155 continued.
No. Route Load Distance
133 0 103(50) 127(50) 0 100 220.00
134 0 218(34) 230(66) 0 100 400.01
135 0 198(84) 0 84 340.00
136 0 176(84) 0 84 300.00
137 0 56(34) 68(66) 0 100 119.99
138 0 233(66) 221(34) 0 100 400.00
139 0 180(84) 0 84 300.00
140 0 98(34) 86(66) 0 100 180.00
141 0 170(50) 146(50) 0 100 299.99
142 0 13(34) 48(66) 0 100 84.80
143 0 99(50) 75(50) 0 100 180.00
144 0 217(34) 229(66) 0 100 400.00
145 0 83(34) 95(66) 0 100 160.00
146 0 220(34) 232(66) 0 100 400.00
147 0 194(34) 206(66) 0 100 360.01
148 0 135(34) 110(66) 0 100 280.12
149 0 196(50) 220(50) 0 100 380.00
150 0 105(34) 117(66) 0 100 200.01
151 0 128(34) 116(66) 0 100 220.00
152 0 179(50) 155(50) 0 100 300.01
153 0 238(66) 226(34) 0 100 400.00
154 0 152(34) 140(66) 0 100 260.00
155 0 199(34) 211(66) 0 100 360.00
156 0 34(50) 22(39) 0 89 60.00
157 0 150(50) 138(32) 0 82 260.00
158 0 137(66) 125(34) 0 100 240.00
159 0 76(34) 88(66) 0 100 160.00
160 0 202(84) 0 84 340.00
161 0 213(66) 201(34) 0 100 359.99
162 0 153(34) 165(66) 0 100 279.99
163 0 66(66) 78(34) 0 100 140.00
164 0 148(34) 160(66) 0 100 280.00
165 0 97(50) 73(50) 0 100 180.00
(cont.)
489
Table A.155 continued.
No. Route Load Distance
166 0 163(66) 151(34) 0 100 280.00
167 0 52(34) 64(66) 0 100 120.00
168 0 178(34) 190(66) 0 100 320.00
169 0 154(50) 130(50) 0 100 260.00
170 0 65(66) 53(34) 0 100 120.00
171 0 49(34) 61(66) 0 100 120.00
172 0 60(34) 168(66) 0 100 280.00
173 0 219(50) 195(50) 0 100 380.00
174 0 173(50) 149(50) 0 100 300.00
175 0 122(34) 134(66) 0 100 239.99
176 0 204(50) 228(50) 0 100 380.00
177 0 47(66) 22(27) 0 93 84.77
178 0 76(50) 52(50) 0 100 140.00
179 0 75(34) 63(66) 0 100 140.00
180 0 29(34) 17(66) 0 100 60.00
181 0 107(34) 119(66) 0 100 200.00
182 0 51(34) 39(66) 0 100 100.00
183 0 82(34) 94(66) 0 100 160.00
184 0 1(34) 24(66) 0 100 42.39
185 0 124(34) 136(66) 0 100 240.00
Total Distance 40551.37
490
Table A.156: EMIP-MDA+ERTR solution to MDA21 with p = .4.
No. Route Load Distance
1 0 151(34) 221(66) 0 100 81.69
2 0 2(84) 0 84 20.00
3 0 3(84) 0 84 20.01
4 0 4(84) 0 84 20.00
5 0 5(84) 0 84 20.01
6 0 6(84) 0 84 20.00
7 0 7(84) 0 84 20.00
8 0 8(84) 0 84 20.00
9 0 9(84) 0 84 20.00
10 0 10(84) 0 84 20.00
11 0 238(66) 165(34) 0 100 80.45
12 0 187(34) 115(66) 0 100 60.00
13 0 13(84) 0 84 20.00
14 0 264(66) 192(34) 0 100 80.00
15 0 122(66) 194(34) 0 100 60.00
16 0 16(84) 0 84 20.00
17 0 17(84) 0 84 20.01
18 0 18(84) 0 84 20.00
19 0 19(84) 0 84 20.00
20 0 20(84) 0 84 20.00
21 0 21(84) 0 84 20.01
22 0 22(84) 0 84 20.00
23 0 23(84) 0 84 20.01
24 0 24(84) 0 84 20.00
25 0 25(84) 0 84 20.00
26 0 26(84) 0 84 20.00
27 0 27(84) 0 84 20.00
28 0 28(84) 0 84 20.00
29 0 29(84) 0 84 20.00
30 0 30(84) 0 84 20.00
31 0 277(66) 206(34) 0 100 80.43
32 0 110(34) 111(66) 0 100 41.74
33 0 33(84) 0 84 20.01
(cont.)
491
Table A.156 continued.
No. Route Load Distance
34 0 105(66) 104(32) 0 98 41.74
35 0 245(66) 173(34) 0 100 80.00
36 0 36(84) 0 84 20.00
37 0 37(84) 0 84 20.00
38 0 271(66) 199(34) 0 100 80.00
39 0 128(66) 0 66 39.99
40 0 251(34) 252(66) 0 100 83.49
41 0 170(84) 0 84 60.01
42 0 42(84) 0 84 20.00
43 0 43(84) 0 84 20.00
44 0 44(84) 0 84 19.99
45 0 45(84) 0 84 20.00
46 0 46(84) 0 84 20.00
47 0 47(84) 0 84 20.00
48 0 48(84) 0 84 20.00
49 0 49(84) 0 84 20.00
50 0 50(84) 0 84 20.00
51 0 51(84) 0 84 20.01
52 0 34(34) 35(50) 0 84 20.87
53 0 53(84) 0 84 20.01
54 0 256(66) 184(34) 0 100 80.00
55 0 55(84) 0 84 20.00
56 0 56(84) 0 84 20.00
57 0 201(50) 202(50) 0 100 62.61
58 0 58(84) 0 84 20.00
59 0 172(84) 0 84 59.99
60 0 108(66) 107(32) 0 98 41.74
61 0 61(84) 0 84 20.00
62 0 78(34) 76(66) 0 100 43.48
63 0 149(84) 0 84 60.00
64 0 242(66) 243(32) 0 98 83.49
65 0 157(84) 0 84 60.00
66 0 66(84) 0 84 20.00
(cont.)
492
Table A.156 continued.
No. Route Load Distance
67 0 186(34) 258(66) 0 100 79.99
68 0 176(34) 247(66) 0 100 80.44
69 0 220(66) 150(34) 0 100 81.69
70 0 68(84) 0 84 20.00
71 0 283(66) 284(34) 0 100 83.50
72 0 73(66) 1(34) 0 100 40.00
73 0 32(84) 0 84 20.00
74 0 134(66) 135(32) 0 98 41.73
75 0 191(50) 192(50) 0 100 62.62
76 0 63(84) 0 84 20.00
77 0 62(50) 0 50 19.99
78 0 137(66) 65(34) 0 100 40.00
79 0 154(34) 226(66) 0 100 79.99
80 0 140(66) 213(34) 0 100 60.23
81 0 230(34) 229(66) 0 100 83.48
82 0 284(32) 285(66) 0 98 83.49
83 0 67(50) 0 50 20.00
84 0 85(66) 0 66 40.00
85 0 254(66) 180(34) 0 100 81.69
86 0 67(34) 139(66) 0 100 40.00
87 0 183(34) 112(66) 0 100 60.22
88 0 204(50) 205(50) 0 100 62.62
89 0 167(50) 168(50) 0 100 62.62
90 0 80(34) 81(66) 0 100 41.75
91 0 132(66) 133(32) 0 98 41.75
92 0 199(50) 200(50) 0 100 62.62
93 0 155(34) 227(66) 0 100 80.00
94 0 57(84) 0 84 20.01
95 0 232(66) 233(32) 0 98 83.48
96 0 214(84) 0 84 60.01
97 0 90(34) 89(66) 0 100 41.74
98 0 207(34) 281(66) 0 100 81.69
99 0 177(50) 176(50) 0 100 62.62
(cont.)
493
Table A.156 continued.
No. Route Load Distance
100 0 34(50) 35(34) 0 84 20.87
101 0 237(66) 236(34) 0 100 83.49
102 0 243(34) 244(66) 0 100 83.48
103 0 39(84) 0 84 20.01
104 0 119(66) 120(34) 0 100 41.75
105 0 114(66) 0 66 40.00
106 0 14(84) 0 84 20.00
107 0 145(84) 0 84 60.00
108 0 117(34) 118(66) 0 100 41.74
109 0 272(66) 200(34) 0 100 80.00
110 0 144(66) 216(34) 0 100 60.01
111 0 166(84) 0 84 60.00
112 0 153(50) 154(50) 0 100 62.61
113 0 147(50) 146(50) 0 100 62.62
114 0 257(66) 185(34) 0 100 80.00
115 0 93(66) 0 66 40.01
116 0 260(32) 261(66) 0 98 83.49
117 0 282(66) 210(34) 0 100 80.00
118 0 113(66) 0 66 39.99
119 0 40(84) 0 84 20.00
120 0 84(66) 83(34) 0 100 41.75
121 0 288(34) 217(66) 0 100 83.50
122 0 52(84) 0 84 20.00
123 0 125(66) 196(34) 0 100 60.23
124 0 267(66) 266(34) 0 100 83.49
125 0 15(84) 0 84 20.01
126 0 124(66) 123(27) 0 93 41.74
127 0 210(50) 213(50) 0 100 67.83
128 0 180(50) 182(50) 0 100 65.24
129 0 69(84) 0 84 20.01
130 0 147(34) 219(66) 0 100 80.00
131 0 117(32) 116(66) 0 98 41.73
132 0 129(66) 0 66 40.01
(cont.)
494
Table A.156 continued.
No. Route Load Distance
133 0 148(84) 0 84 60.00
134 0 138(66) 0 66 39.99
135 0 253(66) 179(34) 0 100 81.68
136 0 123(39) 194(50) 0 89 60.23
137 0 72(84) 0 84 20.00
138 0 150(50) 151(50) 0 100 62.62
139 0 38(84) 0 84 20.00
140 0 41(84) 0 84 20.01
141 0 269(66) 197(34) 0 100 80.00
142 0 169(50) 171(50) 0 100 65.22
143 0 158(84) 0 84 60.00
144 0 159(84) 0 84 60.00
145 0 160(84) 0 84 60.01
146 0 80(32) 79(66) 0 98 41.74
147 0 190(84) 0 84 60.01
148 0 163(84) 0 84 60.00
149 0 215(34) 286(66) 0 100 80.46
150 0 188(50) 187(50) 0 100 62.61
151 0 184(50) 183(50) 0 100 62.61
152 0 62(34) 0 34 19.99
153 0 65(50) 0 50 20.00
154 0 189(84) 0 84 59.99
155 0 178(50) 179(50) 0 100 62.62
156 0 152(84) 0 84 60.00
157 0 263(66) 191(34) 0 100 80.01
158 0 234(66) 233(34) 0 100 83.49
159 0 260(34) 259(66) 0 100 83.48
160 0 164(34) 92(66) 0 100 60.01
161 0 278(66) 279(32) 0 98 83.49
162 0 130(66) 0 66 40.00
163 0 248(66) 177(34) 0 100 80.45
164 0 235(66) 236(32) 0 98 83.48
165 0 90(32) 91(66) 0 98 41.74
(cont.)
495
Table A.156 continued.
No. Route Load Distance
166 0 171(34) 99(66) 0 100 59.99
167 0 273(66) 201(34) 0 100 79.99
168 0 188(34) 262(66) 0 100 81.69
169 0 193(84) 0 84 60.00
170 0 195(34) 268(66) 0 100 80.45
171 0 175(84) 0 84 60.00
172 0 82(66) 83(32) 0 98 41.74
173 0 266(32) 265(66) 0 98 83.48
174 0 239(66) 167(34) 0 100 80.00
175 0 203(84) 0 84 60.00
176 0 59(84) 0 84 20.01
177 0 270(66) 198(34) 0 100 80.01
178 0 141(66) 142(32) 0 98 41.74
179 0 276(66) 205(34) 0 100 80.44
180 0 209(84) 0 84 60.01
181 0 78(32) 77(66) 0 98 41.74
182 0 211(84) 0 84 60.00
183 0 212(84) 0 84 60.00
184 0 133(34) 131(66) 0 100 43.48
185 0 54(84) 0 84 20.00
186 0 246(66) 174(34) 0 100 80.00
187 0 106(66) 107(34) 0 100 41.76
188 0 94(66) 0 66 40.00
189 0 100(66) 101(32) 0 98 41.74
190 0 222(66) 224(32) 0 98 86.97
191 0 275(66) 204(34) 0 100 80.45
192 0 251(32) 250(66) 0 98 83.49
193 0 255(66) 182(34) 0 100 80.44
194 0 206(50) 207(50) 0 100 62.62
195 0 136(66) 135(34) 0 100 41.74
196 0 161(84) 0 84 59.99
197 0 88(34) 86(66) 0 100 43.48
198 0 127(66) 0 66 40.00
(cont.)
496
Table A.156 continued.
No. Route Load Distance
199 0 287(66) 288(32) 0 98 83.49
200 0 202(34) 274(66) 0 100 80.00
201 0 98(34) 96(66) 0 100 43.49
202 0 198(50) 197(50) 0 100 62.61
203 0 162(84) 0 84 60.01
204 0 11(84) 0 84 20.00
205 0 70(84) 0 84 20.00
206 0 102(66) 101(34) 0 100 41.75
207 0 208(84) 0 84 60.01
208 0 71(84) 0 84 20.01
209 0 173(50) 174(50) 0 100 62.62
210 0 1(50) 0 50 20.00
211 0 168(34) 240(66) 0 100 79.99
212 0 165(50) 164(50) 0 100 62.62
213 0 12(84) 0 84 20.00
214 0 98(32) 97(66) 0 98 41.74
215 0 185(50) 186(50) 0 100 62.62
216 0 126(66) 0 66 39.99
217 0 215(50) 216(50) 0 100 62.61
218 0 249(66) 178(34) 0 100 80.45
219 0 60(84) 0 84 19.99
220 0 230(32) 231(66) 0 98 83.50
221 0 95(66) 0 66 39.99
222 0 110(32) 109(66) 0 98 41.74
223 0 228(66) 156(34) 0 100 80.00
224 0 225(66) 153(34) 0 100 80.00
225 0 155(50) 156(50) 0 100 62.60
226 0 88(32) 87(66) 0 98 41.74
227 0 223(66) 224(34) 0 100 83.48
228 0 279(34) 280(66) 0 100 83.50
229 0 241(66) 169(34) 0 100 80.00
230 0 74(66) 0 66 39.99
231 0 143(66) 142(34) 0 100 41.75
(cont.)
497
Table A.156 continued.
No. Route Load Distance
232 0 64(84) 0 84 20.00
233 0 103(66) 104(34) 0 100 41.75
234 0 196(50) 195(50) 0 100 62.61
235 0 121(66) 120(32) 0 98 41.74
236 0 31(84) 0 84 20.00
237 0 75(66) 0 66 40.01
238 0 181(84) 0 84 60.00
239 0 218(66) 146(34) 0 100 80.01
Total Distance 11909.12
498
Table A.157: Estimated solution for MDA1.
No. Route Load Distance
1 0 1(50)2(50) 0 100 34.14
2 0 5(q) 1(100 ?q) 0 100 40.00
3 0 6(q) 2(100 ?q) 0 100 40.00
4 0 3(50)4(50) 0 100 34.14
5 0 7(q) 3(100 ?q) 0 100 40.00
6 0 8(q) 4(100 ?q) 0 100 40.00
Total Distance 228.28
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
Table A.158: Estimated solutions for MDA2.
No. Route Load Distance
1 0 13(q) 9(100 ?q) 0 100 80.00
2 0 9(50)1(50) 0 100 60.00
3 0 5(q) 1(100 ?q) 0 100 40.00
4 0 14(q) 10(100 ?q) 0 100 80.00
5 0 10(50)2(50) 0 100 60.00
6 0 6(q) 2(100 ?q) 0 100 40.00
7 0 15(q) 11(100 ?q) 0 100 80.00
8 0 11(50)3(50) 0 100 60.00
9 0 7(q) 3(100 ?q) 0 100 40.00
10 0 16(q) 12(100 ?q) 0 100 80.00
11 0 12(50)4(50) 0 100 60.00
12 0 8(q) 4(100 ?q) 0 100 40.00
Total Distance 720.00
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
499
Table A.159: Estimated solutions for MDA3.
No. Route Load Distance
1 0 1(50)2(50) 0 100 27.65
2 0 9(q) 1(100 ?q) 0 100 40.00
3 0 10(q) 2(100 ?q) 0 100 39.99
4 0 3(50)4(50) 0 100 27.65
5 0 11(q) 3(100 ?q) 0 100 40.00
6 0 12(q) 4(100 ?q) 0 100 39.99
7 0 5(50)6(50) 0 100 27.65
8 0 13(q) 5(100 ?q) 0 100 40.00
9 0 14(q) 6(100 ?q) 0 100 39.99
10 0 7(50)8(50) 0 100 27.65
11 0 15(q) 7(100 ?q) 0 100 40.00
12 0 16(q) 8(100 ?q) 0 100 39.99
Total Distance 430.58
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
500
Table A.160: Estimated solutions for MDA4.
No. Route Load Distance
1 0 1(50)2(50) 0 100 25.18
2 0 13(q) 1(100 ?q) 0 100 40.00
3 0 14(q) 2(100 ?q) 0 100 40.00
4 0 3(50)4(50) 0 100 25.18
5 0 15(q) 3(100 ?q) 0 100 40.00
6 0 16(q) 4(100 ?q) 0 100 40.00
7 0 5(50)6(50) 0 100 25.18
8 0 17(q) 5(100 ?q) 0 100 40.00
9 0 18(q) 6(100 ?q) 0 100 40.00
10 0 7(50)8(50) 0 100 25.18
11 0 19(q) 7(100 ?q) 0 100 40.00
12 0 20(q) 8(100 ?q) 0 100 40.00
13 0 9(50)10(50) 0 100 25.18
14 0 21(q) 9(100 ?q) 0 100 40.00
15 0 22(q) 10(100 ?q) 0 100 40.00
16 0 11(50)12(50) 0 100 25.18
17 0 23(q) 11(100 ?q) 0 100 40.00
18 0 24(q) 12(100 ?q) 0 100 40.00
Total Distance 631.05
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
501
Table A.161: Estimated solutions for MDA5.
No. Route Load Distance
1 0 1(50)2(50) 0 100 27.65
2 0 17(50)18(50) 0 100 82.95
3 0 9(q) 1(100 ?q) 0 100 40.00
4 0 10(q) 2(100 ?q) 0 100 39.99
5 0 25(q) 17(100 ?q) 0 100 80.00
6 0 26(q) 18(100 ?q) 0 100 79.99
7 0 3(50)4(50) 0 100 27.65
8 0 19(50)20(50) 0 100 82.95
9 0 11(q) 3(100 ?q) 0 100 40.00
10 0 12(q) 4(100 ?q) 0 100 39.99
11 0 27(q) 19(100 ?q) 0 100 80.00
12 0 28(q) 20(100 ?q) 0 100 80.00
13 0 5(50)6(50) 0 100 27.65
14 0 21(50)22(50) 0 100 82.96
15 0 13(q) 5(100 ?q) 0 100 40.00
16 0 14(q) 6(100 ?q) 0 100 39.99
17 0 29(q) 21(100 ?q) 0 100 80.00
18 0 30(q) 22(100 ?q) 0 100 80.00
19 0 7(50)8(50) 0 100 27.65
20 0 23(50)24(50) 0 100 82.96
21 0 15(q) 7(100 ?q) 0 100 40.00
22 0 16(q) 8(100 ?q) 0 100 39.99
23 0 31(q) 23(100 ?q) 0 100 80.00
24 0 32(q) 24(100 ?q) 0 100 80.00
Total Distance 1402.40
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
502
Table A.162: Estimated solutions for MDA6.
No. Route Load Distance
1 0 1(50)2(50) 0 100 23.91
2 0 17(q) 1(100 ?q) 0 100 40.00
3 0 18(q) 2(100 ?q) 0 100 40.00
4 0 3(50)4(50) 0 100 23.90
5 0 19(q) 3(100 ?q) 0 100 39.99
6 0 20(q) 4(100 ?q) 0 100 40.00
7 0 5(50)6(50) 0 100 23.91
8 0 21(q) 5(100 ?q) 0 100 40.00
9 0 22(q) 6(100 ?q) 0 100 40.00
10 0 7(50)8(50) 0 100 23.90
11 0 23(q) 7(100 ?q) 0 100 39.99
12 0 24(q) 8(100 ?q) 0 100 40.01
13 0 9(50)10(50) 0 100 23.91
14 0 25(q) 9(100 ?q) 0 100 40.00
15 0 26(q) 10(100 ?q) 0 100 40.00
16 0 11(50)12(50) 0 100 23.90
17 0 27(q) 11(100 ?q) 0 100 39.99
18 0 28(q) 12(100 ?q) 0 100 40.01
19 0 13(50)14(50) 0 100 23.91
20 0 29(q) 13(100 ?q) 0 100 40.00
21 0 30(q) 14(100 ?q) 0 100 40.00
22 0 15(50)16(50) 0 100 23.90
23 0 31(q) 15(100 ?q) 0 100 39.99
24 0 32(q) 16(100 ?q) 0 100 40.01
Total Distance 831.24
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
503
Table A.163: Estimated solutions for MDA7.
No. Route Load Distance
1 0 1(50)2(50) 0 100 34.14
2 0 5(q) 1(100 ?q) 0 100 40.00
3 0 6(q) 2(100 ?q) 0 100 40.00
4 0 3(50)4(50) 0 100 34.14
5 0 7(q) 3(100 ?q) 0 100 40.00
6 0 8(q) 4(100 ?q) 0 100 40.00
7 0 21(q) 17(100 ?q) 0 100 120.00
8 0 17(50)9(50) 0 100 100.00
9 0 13(q) 9(100 ?q) 0 100 80.00
10 0 22(q) 18(100 ?q) 0 100 120.00
11 0 18(50)10(50) 0 100 100.00
12 0 14(q) 10(100 ?q) 0 100 80.00
13 0 23(q) 19(100 ?q) 0 100 120.00
14 0 19(50)11(50) 0 100 100.00
15 0 15(q) 11(100 ?q) 0 100 80.00
16 0 24(q) 20(100 ?q) 0 100 120.00
17 0 20(50)12(50) 0 100 100.00
18 0 16(q) 12(100 ?q) 0 100 80.00
19 0 37(q) 33(100 ?q) 0 100 200.00
20 0 33(50)25(50) 0 100 180.00
21 0 29(q) 25(100 ?q) 0 100 160.00
22 0 38(q) 34(100 ?q) 0 100 200.00
23 0 34(50)26(50) 0 100 180.00
24 0 30(q) 26(100 ?q) 0 100 160.00
25 0 39(q) 35(100 ?q) 0 100 200.00
26 0 35(50)27(50) 0 100 180.00
27 0 31(q) 27(100 ?q) 0 100 160.00
28 0 40(q) 36(100 ?q) 0 100 200.00
29 0 36(50)28(50) 0 100 180.00
30 0 32(q) 28(100 ?q) 0 100 160.00
Total Distance 3588.28
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
504
Table A.164: Estimated solutions for MDA8.
No. Route Load Distance
1 0 13(q) 9(100 ?q) 0 100 80.00
2 0 9(50)1(50) 0 100 60.00
3 0 5(q) 1(100 ?q) 0 100 40.00
4 0 14(q) 10(100 ?q) 0 100 80.00
5 0 10(50)2(50) 0 100 60.00
6 0 6(q) 2(100 ?q) 0 100 40.00
7 0 15(q) 11(100 ?q) 0 100 80.00
8 0 11(50)3(50) 0 100 60.00
9 0 7(q) 3(100 ?q) 0 100 40.00
10 0 16(q) 12(100 ?q) 0 100 80.00
11 0 12(50)4(50) 0 100 60.00
12 0 8(q) 4(100 ?q) 0 100 40.00
13 0 29(q) 25(100 ?q) 0 100 160.00
14 0 25(50)17(50) 0 100 140.00
15 0 21(q) 17(100 ?q) 0 100 120.00
16 0 30(q) 26(100 ?q) 0 100 160.00
17 0 26(50)18(50) 0 100 140.00
18 0 22(q) 18(100 ?q) 0 100 120.00
19 0 31(q) 27(100 ?q) 0 100 160.00
20 0 27(50)19(50) 0 100 140.00
21 0 23(q) 19(100 ?q) 0 100 120.00
22 0 32(q) 28(100 ?q) 0 100 160.00
23 0 28(50)20(50) 0 100 140.00
24 0 24(q) 20(100 ?q) 0 100 120.00
25 0 45(q) 41(100 ?q) 0 100 240.00
26 0 41(50)33(50) 0 100 220.00
27 0 37(q) 33(100 ?q) 0 100 200.00
28 0 46(q) 42(100 ?q) 0 100 240.00
29 0 42(50)34(50) 0 100 220.00
30 0 38(q) 34(100 ?q) 0 100 200.00
31 0 47(q) 43(100 ?q) 0 100 240.00
32 0 43(50)35(50) 0 100 220.00
33 0 39(q) 35(100 ?q) 0 100 200.00
34 0 48(q) 44(100 ?q) 0 100 240.00
35 0 44(50)36(50) 0 100 220.00
36 0 40(q) 36(100 ?q) 0 100 200.00
Total Distance 5040.00
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
505
Table A.165: Estimated solutions for MDA9.
No. Route Load Distance
1 0 1(50)2(50) 0 100 25.18
2 0 25(50)26(50) 0 100 75.53
3 0 13(q) 1(100 ?q) 0 100 40.00
4 0 14(q) 2(100 ?q) 0 100 40.00
5 0 37(q) 25(100 ?q) 0 100 80.00
6 0 38(q) 26(100 ?q) 0 100 80.00
7 0 3(50)4(50) 0 100 25.18
8 0 27(50)28(50) 0 100 75.53
9 0 15(q) 3(100 ?q) 0 100 40.00
10 0 16(q) 4(100 ?q) 0 100 40.00
11 0 39(q) 27(100 ?q) 0 100 80.00
12 0 40(q) 28(100 ?q) 0 100 80.00
13 0 5(50)6(50) 0 100 25.18
14 0 29(50)30(50) 0 100 75.53
15 0 17(q) 5(100 ?q) 0 100 40.00
16 0 18(q) 6(100 ?q) 0 100 40.00
17 0 41(q) 29(100 ?q) 0 100 80.00
18 0 42(q) 30(100 ?q) 0 100 80.00
19 0 7(50)8(50) 0 100 25.18
20 0 31(50)32(50) 0 100 75.53
21 0 19(q) 7(100 ?q) 0 100 40.00
22 0 20(q) 8(100 ?q) 0 100 40.00
23 0 43(q) 31(100 ?q) 0 100 80.00
24 0 44(q) 32(100 ?q) 0 100 80.00
25 0 9(50)10(50) 0 100 25.18
26 0 33(50)34(50) 0 100 75.53
27 0 21(q) 9(100 ?q) 0 100 40.00
28 0 22(q) 10(100 ?q) 0 100 40.00
29 0 45(q) 33(100 ?q) 0 100 80.00
30 0 46(q) 34(100 ?q) 0 100 80.00
31 0 11(50)12(50) 0 100 25.18
32 0 35(50)36(50) 0 100 75.53
33 0 23(q) 11(100 ?q) 0 100 40.00
34 0 24(q) 12(100 ?q) 0 100 40.00
35 0 47(q) 35(100 ?q) 0 100 79.99
36 0 48(q) 36(100 ?q) 0 100 80.01
Total Distance 2044.20
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
506
Table A.166: Estimated solutions for MDA10.
No. Route Load Distance
1 0 1(50)2(50) 0 100 23.91
2 0 33(50)34(50) 0 100 71.71
3 0 17(q) 1(100 ?q) 0 100 40.00
4 0 18(q) 2(100 ?q) 0 100 40.00
5 0 49(q) 33(100 ?q) 0 100 80.00
6 0 50(q) 34(100 ?q) 0 100 80.01
7 0 3(50)4(50) 0 100 23.90
8 0 35(50)36(50) 0 100 71.71
9 0 19(q) 3(100 ?q) 0 100 39.99
10 0 20(q) 4(100 ?q) 0 100 40.00
11 0 51(q) 35(100 ?q) 0 100 79.99
12 0 52(q) 36(100 ?q) 0 100 79.99
13 0 5(50)6(50) 0 100 23.91
14 0 37(50)38(50) 0 100 71.71
15 0 21(q) 5(100 ?q) 0 100 40.00
16 0 22(q) 6(100 ?q) 0 100 40.00
17 0 53(q) 37(100 ?q) 0 100 80.00
18 0 54(q) 38(100 ?q) 0 100 80.01
19 0 7(50)8(50) 0 100 23.90
20 0 39(50)40(50) 0 100 71.71
21 0 23(q) 7(100 ?q) 0 100 39.99
22 0 24(q) 8(100 ?q) 0 100 40.01
23 0 55(q) 39(100 ?q) 0 100 80.00
24 0 56(q) 40(100 ?q) 0 100 79.99
25 0 9(50)10(50) 0 100 23.91
26 0 41(50)42(50) 0 100 71.71
27 0 25(q) 9(100 ?q) 0 100 40.00
28 0 26(q) 10(100 ?q) 0 100 40.00
29 0 57(q) 41(100 ?q) 0 100 80.00
30 0 58(q) 42(100 ?q) 0 100 80.00
31 0 11(50)12(50) 0 100 23.90
32 0 43(50)44(50) 0 100 71.71
33 0 27(q) 11(100 ?q) 0 100 39.99
(cont.)
507
Table A.166 continued.
No. Route Load Distance
34 0 28(q) 12(100 ?q) 0 100 40.01
35 0 59(q) 43(100 ?q) 0 100 80.00
36 0 60(q) 44(100 ?q) 0 100 79.99
37 0 13(50)14(50) 0 100 23.91
38 0 45(50)46(50) 0 100 71.71
39 0 29(q) 13(100 ?q) 0 100 40.00
40 0 30(q) 14(100 ?q) 0 100 40.00
41 0 61(q) 45(100 ?q) 0 100 80.00
42 0 62(q) 46(100 ?q) 0 100 80.00
43 0 15(50)16(50) 0 100 23.90
44 0 47(50)48(50) 0 100 71.70
45 0 31(q) 15(100 ?q) 0 100 39.99
46 0 32(q) 16(100 ?q) 0 100 40.01
47 0 63(q) 47(100 ?q) 0 100 80.00
48 0 64(q) 48(100 ?q) 0 100 79.99
Total Distance 2684.88
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
508
Table A.167: Estimated solutions for MDA11.
No. Route Load Distance
1 0 13(q) 9(100 ?q) 0 100 80.00
2 0 9(50)1(50) 0 100 60.00
3 0 5(q) 1(100 ?q) 0 100 40.00
4 0 14(q) 10(100 ?q) 0 100 80.00
5 0 10(50)2(50) 0 100 60.00
6 0 6(q) 2(100 ?q) 0 100 40.00
7 0 15(q) 11(100 ?q) 0 100 80.00
8 0 11(50)3(50) 0 100 60.00
9 0 7(q) 3(100 ?q) 0 100 40.00
10 0 16(q) 12(100 ?q) 0 100 80.00
11 0 12(50)4(50) 0 100 60.00
12 0 8(q) 4(100 ?q) 0 100 40.00
13 0 29(q) 25(100 ?q) 0 100 160.00
14 0 25(50)17(50) 0 100 140.00
15 0 21(q) 17(100 ?q) 0 100 120.00
16 0 30(q) 26(100 ?q) 0 100 160.00
17 0 26(50)18(50) 0 100 140.00
18 0 22(q) 18(100 ?q) 0 100 120.00
19 0 31(q) 27(100 ?q) 0 100 160.00
20 0 27(50)19(50) 0 100 140.00
21 0 23(q) 19(100 ?q) 0 100 120.00
22 0 32(q) 28(100 ?q) 0 100 160.00
23 0 28(50)20(50) 0 100 140.00
24 0 24(q) 20(100 ?q) 0 100 120.00
25 0 45(q) 41(100 ?q) 0 100 240.00
26 0 41(50)33(50) 0 100 220.00
27 0 37(q) 33(100 ?q) 0 100 200.00
28 0 46(q) 42(100 ?q) 0 100 240.00
29 0 42(50)34(50) 0 100 220.00
30 0 38(q) 34(100 ?q) 0 100 200.00
31 0 47(q) 43(100 ?q) 0 100 240.00
32 0 43(50)35(50) 0 100 220.00
33 0 39(q) 35(100 ?q) 0 100 200.00
(cont.)
509
Table A.167 continued.
No. Route Load Distance
34 0 48(q) 44(100 ?q) 0 100 240.00
35 0 44(50)36(50) 0 100 220.00
36 0 40(q) 36(100 ?q) 0 100 200.00
37 0 61(q) 57(100 ?q) 0 100 320.00
38 0 57(50)49(50) 0 100 300.00
39 0 53(q) 49(100 ?q) 0 100 280.00
40 0 62(q) 58(100 ?q) 0 100 320.00
41 0 58(50)50(50) 0 100 300.00
42 0 54(q) 50(100 ?q) 0 100 280.00
43 0 63(q) 59(100 ?q) 0 100 320.00
44 0 59(50)51(50) 0 100 300.00
45 0 55(q) 51(100 ?q) 0 100 280.00
46 0 64(q) 60(100 ?q) 0 100 320.00
47 0 60(50)52(50) 0 100 300.00
48 0 56(q) 52(100 ?q) 0 100 280.00
49 0 77(q) 73(100 ?q) 0 100 400.00
50 0 73(50)65(50) 0 100 380.00
51 0 69(q) 65(100 ?q) 0 100 360.00
52 0 78(q) 74(100 ?q) 0 100 400.00
53 0 74(50)66(50) 0 100 380.00
54 0 70(q) 66(100 ?q) 0 100 360.00
55 0 79(q) 75(100 ?q) 0 100 400.00
56 0 75(50)67(50) 0 100 380.00
57 0 71(q) 67(100 ?q) 0 100 360.00
58 0 80(q) 76(100 ?q) 0 100 400.00
59 0 76(50)68(50) 0 100 380.00
60 0 72(q) 68(100 ?q) 0 100 360.00
Total Distance 13200.00
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
510
Table A.168: Estimated solutions for MDA12.
No. Route Load Distance
1 0 1(50)2(50) 0 100 27.65
2 0 9(q) 1(100 ?q) 0 100 40.00
3 0 10(q) 2(100 ?q) 0 100 39.99
4 0 3(50)4(50) 0 100 27.65
5 0 11(q) 3(100 ?q) 0 100 40.00
6 0 12(q) 4(100 ?q) 0 100 39.99
7 0 5(50)6(50) 0 100 27.65
8 0 13(q) 5(100 ?q) 0 100 40.00
9 0 14(q) 6(100 ?q) 0 100 39.99
10 0 7(50)8(50) 0 100 27.65
11 0 15(q) 7(100 ?q) 0 100 40.00
12 0 16(q) 8(100 ?q) 0 100 39.99
13 0 41(q) 33(100 ?q) 0 100 120.00
14 0 33(50)17(50) 0 100 100.00
15 0 25(q) 17(100 ?q) 0 100 80.00
16 0 42(q) 34(100 ?q) 0 100 120.01
17 0 34(50)18(50) 0 100 100.00
18 0 26(q) 18(100 ?q) 0 100 79.99
19 0 43(q) 35(100 ?q) 0 100 120.00
20 0 35(50)19(50) 0 100 100.00
21 0 27(q) 19(100 ?q) 0 100 80.00
22 0 44(q) 36(100 ?q) 0 100 120.00
23 0 36(50)20(50) 0 100 100.00
24 0 28(q) 20(100 ?q) 0 100 80.00
25 0 45(q) 37(100 ?q) 0 100 120.00
26 0 37(50)21(50) 0 100 100.00
27 0 29(q) 21(100 ?q) 0 100 80.00
28 0 46(q) 38(100 ?q) 0 100 120.00
29 0 38(50)22(50) 0 100 100.00
30 0 30(q) 22(100 ?q) 0 100 80.00
31 0 47(q) 39(100 ?q) 0 100 120.00
32 0 39(50)23(50) 0 100 100.00
33 0 31(q) 23(100 ?q) 0 100 80.00
(cont.)
511
Table A.168 continued.
No. Route Load Distance
34 0 48(q) 40(100 ?q) 0 100 120.00
35 0 40(50)24(50) 0 100 100.00
36 0 32(q) 24(100 ?q) 0 100 80.00
37 0 73(q) 65(100 ?q) 0 100 200.00
38 0 65(50)49(50) 0 100 180.00
39 0 57(q) 49(100 ?q) 0 100 160.00
40 0 74(q) 66(100 ?q) 0 100 200.00
41 0 66(50)50(50) 0 100 180.00
42 0 58(q) 50(100 ?q) 0 100 160.00
43 0 75(q) 67(100 ?q) 0 100 200.00
44 0 67(50)51(50) 0 100 180.00
45 0 59(q) 51(100 ?q) 0 100 160.00
46 0 76(q) 68(100 ?q) 0 100 200.01
47 0 68(50)52(50) 0 100 180.00
48 0 60(q) 52(100 ?q) 0 100 159.99
49 0 77(q) 69(100 ?q) 0 100 200.00
50 0 69(50)53(50) 0 100 180.00
51 0 61(q) 53(100 ?q) 0 100 160.00
52 0 78(q) 70(100 ?q) 0 100 200.00
53 0 70(50)54(50) 0 100 180.00
54 0 62(q) 54(100 ?q) 0 100 160.00
55 0 79(q) 71(100 ?q) 0 100 200.00
56 0 71(50)55(50) 0 100 180.00
57 0 63(q) 55(100 ?q) 0 100 160.00
58 0 80(q) 72(100 ?q) 0 100 200.00
59 0 72(50)56(50) 0 100 180.00
60 0 64(q) 56(100 ?q) 0 100 160.00
Total Distance 7150.58
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
512
Table A.169: Estimated solutions for MDA13.
No. Route Load Distance
1 0 1(50)2(50) 0 100 27.65
2 0 17(50)18(50) 0 100 82.95
3 0 9(q) 1(100 ?q) 0 100 40.00
4 0 10(q) 2(100 ?q) 0 100 39.99
5 0 25(q) 17(100 ?q) 0 100 80.00
6 0 26(q) 18(100 ?q) 0 100 79.99
7 0 3(50)4(50) 0 100 27.65
8 0 19(50)20(50) 0 100 82.95
9 0 11(q) 3(100 ?q) 0 100 40.00
10 0 12(q) 4(100 ?q) 0 100 39.99
11 0 27(q) 19(100 ?q) 0 100 80.00
12 0 28(q) 20(100 ?q) 0 100 80.00
13 0 5(50)6(50) 0 100 27.65
14 0 21(50)22(50) 0 100 82.96
15 0 13(q) 5(100 ?q) 0 100 40.00
16 0 14(q) 6(100 ?q) 0 100 39.99
17 0 29(q) 21(100 ?q) 0 100 80.00
18 0 30(q) 22(100 ?q) 0 100 80.00
19 0 7(50)8(50) 0 100 27.65
20 0 23(50)24(50) 0 100 82.96
21 0 15(q) 7(100 ?q) 0 100 40.00
22 0 16(q) 8(100 ?q) 0 100 39.99
23 0 31(q) 23(100 ?q) 0 100 80.00
24 0 32(q) 24(100 ?q) 0 100 80.00
25 0 57(q) 49(100 ?q) 0 100 160.00
26 0 49(50)33(50) 0 100 140.00
27 0 41(q) 33(100 ?q) 0 100 120.00
28 0 58(q) 50(100 ?q) 0 100 160.00
29 0 50(50)34(50) 0 100 140.01
30 0 42(q) 34(100 ?q) 0 100 120.01
31 0 59(q) 51(100 ?q) 0 100 160.00
32 0 51(50)35(50) 0 100 140.00
33 0 43(q) 35(100 ?q) 0 100 120.00
(cont.)
513
Table A.169 continued.
No. Route Load Distance
34 0 60(q) 52(100 ?q) 0 100 159.99
35 0 52(50)36(50) 0 100 139.99
36 0 44(q) 36(100 ?q) 0 100 120.00
37 0 61(q) 53(100 ?q) 0 100 160.00
38 0 53(50)37(50) 0 100 140.00
39 0 45(q) 37(100 ?q) 0 100 120.00
40 0 62(q) 54(100 ?q) 0 100 160.00
41 0 54(50)38(50) 0 100 139.99
42 0 46(q) 38(100 ?q) 0 100 120.00
43 0 63(q) 55(100 ?q) 0 100 160.00
44 0 55(50)39(50) 0 100 140.00
45 0 47(q) 39(100 ?q) 0 100 120.00
46 0 64(q) 56(100 ?q) 0 100 160.00
47 0 56(50)40(50) 0 100 140.01
48 0 48(q) 40(100 ?q) 0 100 120.00
49 0 89(q) 81(100 ?q) 0 100 240.00
50 0 81(50)65(50) 0 100 220.00
51 0 73(q) 65(100 ?q) 0 100 200.00
52 0 90(q) 82(100 ?q) 0 100 239.99
53 0 82(50)66(50) 0 100 220.00
54 0 74(q) 66(100 ?q) 0 100 200.00
55 0 91(q) 83(100 ?q) 0 100 240.00
56 0 83(50)67(50) 0 100 220.00
57 0 75(q) 67(100 ?q) 0 100 200.00
58 0 92(q) 84(100 ?q) 0 100 240.01
59 0 84(50)68(50) 0 100 220.01
60 0 76(q) 68(100 ?q) 0 100 200.01
61 0 93(q) 85(100 ?q) 0 100 240.00
62 0 85(50)69(50) 0 100 220.00
63 0 77(q) 69(100 ?q) 0 100 200.00
64 0 94(q) 86(100 ?q) 0 100 239.99
65 0 86(50)70(50) 0 100 220.00
66 0 78(q) 70(100 ?q) 0 100 200.00
(cont.)
514
Table A.169 continued.
No. Route Load Distance
67 0 95(q) 87(100 ?q) 0 100 240.00
68 0 87(50)71(50) 0 100 220.00
69 0 79(q) 71(100 ?q) 0 100 200.00
70 0 96(q) 88(100 ?q) 0 100 240.01
71 0 88(50)72(50) 0 100 220.00
72 0 80(q) 72(100 ?q) 0 100 200.00
Total Distance 10042.40
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
515
Table A.170: Estimated solutions for MDA14.
No. Route Load Distance
1 0 1(50)2(50) 0 100 25.18
2 0 13(q) 1(100 ?q) 0 100 40.00
3 0 14(q) 2(100 ?q) 0 100 40.00
4 0 3(50)4(50) 0 100 25.18
5 0 15(q) 3(100 ?q) 0 100 40.00
6 0 16(q) 4(100 ?q) 0 100 40.00
7 0 5(50)6(50) 0 100 25.18
8 0 17(q) 5(100 ?q) 0 100 40.00
9 0 18(q) 6(100 ?q) 0 100 40.00
10 0 7(50)8(50) 0 100 25.18
11 0 19(q) 7(100 ?q) 0 100 40.00
12 0 20(q) 8(100 ?q) 0 100 40.00
13 0 9(50)10(50) 0 100 25.18
14 0 21(q) 9(100 ?q) 0 100 40.00
15 0 22(q) 10(100 ?q) 0 100 40.00
16 0 11(50)12(50) 0 100 25.18
17 0 23(q) 11(100 ?q) 0 100 40.00
18 0 24(q) 12(100 ?q) 0 100 40.00
19 0 61(q) 49(100 ?q) 0 100 120.00
20 0 49(50)25(50) 0 100 100.00
21 0 37(q) 25(100 ?q) 0 100 80.00
22 0 62(q) 50(100 ?q) 0 100 120.00
23 0 50(50)26(50) 0 100 100.00
24 0 38(q) 26(100 ?q) 0 100 80.00
25 0 63(q) 51(100 ?q) 0 100 120.00
26 0 51(50)27(50) 0 100 100.00
27 0 39(q) 27(100 ?q) 0 100 80.00
28 0 64(q) 52(100 ?q) 0 100 120.00
29 0 52(50)28(50) 0 100 100.00
30 0 40(q) 28(100 ?q) 0 100 80.00
31 0 65(q) 53(100 ?q) 0 100 120.00
32 0 53(50)29(50) 0 100 100.00
33 0 41(q) 29(100 ?q) 0 100 80.00
(cont.)
516
Table A.170 continued.
No. Route Load Distance
34 0 66(q) 54(100 ?q) 0 100 120.00
35 0 54(50)30(50) 0 100 100.00
36 0 42(q) 30(100 ?q) 0 100 80.00
37 0 67(q) 55(100 ?q) 0 100 120.00
38 0 55(50)31(50) 0 100 100.00
39 0 43(q) 31(100 ?q) 0 100 80.00
40 0 68(q) 56(100 ?q) 0 100 119.99
41 0 56(50)32(50) 0 100 100.00
42 0 44(q) 32(100 ?q) 0 100 80.00
43 0 69(q) 57(100 ?q) 0 100 120.01
44 0 57(50)33(50) 0 100 100.01
45 0 45(q) 33(100 ?q) 0 100 80.00
46 0 70(q) 58(100 ?q) 0 100 120.00
47 0 58(50)34(50) 0 100 100.00
48 0 46(q) 34(100 ?q) 0 100 80.00
49 0 71(q) 59(100 ?q) 0 100 120.00
50 0 59(50)35(50) 0 100 100.01
51 0 47(q) 35(100 ?q) 0 100 79.99
52 0 72(q) 60(100 ?q) 0 100 120.01
53 0 60(50)36(50) 0 100 100.01
54 0 48(q) 36(100 ?q) 0 100 80.01
55 0 109(q) 97(100 ?q) 0 100 200.00
56 0 97(50)73(50) 0 100 180.00
57 0 85(q) 73(100 ?q) 0 100 160.00
58 0 110(q) 98(100 ?q) 0 100 200.00
59 0 98(50)74(50) 0 100 180.00
60 0 86(q) 74(100 ?q) 0 100 160.00
61 0 111(q) 99(100 ?q) 0 100 200.00
62 0 99(50)75(50) 0 100 180.00
63 0 87(q) 75(100 ?q) 0 100 160.00
64 0 112(q) 100(100 ?q) 0 100 200.00
65 0 100(50)76(50) 0 100 180.00
66 0 88(q) 76(100 ?q) 0 100 160.00
(cont.)
517
Table A.170 continued.
No. Route Load Distance
67 0 113(q) 101(100 ?q) 0 100 200.00
68 0 101(50)77(50) 0 100 180.01
69 0 89(q) 77(100 ?q) 0 100 160.00
70 0 114(q) 102(100 ?q) 0 100 200.01
71 0 102(50)78(50) 0 100 180.01
72 0 90(q) 78(100 ?q) 0 100 160.01
73 0 115(q) 103(100 ?q) 0 100 200.00
74 0 103(50)79(50) 0 100 180.00
75 0 91(q) 79(100 ?q) 0 100 160.00
76 0 116(q) 104(100 ?q) 0 100 200.00
77 0 104(50)80(50) 0 100 180.00
78 0 92(q) 80(100 ?q) 0 100 160.00
79 0 117(q) 105(100 ?q) 0 100 200.01
80 0 105(50)81(50) 0 100 180.01
81 0 93(q) 81(100 ?q) 0 100 160.01
82 0 118(q) 106(100 ?q) 0 100 200.00
83 0 106(50)82(50) 0 100 180.00
84 0 94(q) 82(100 ?q) 0 100 160.00
85 0 119(q) 107(100 ?q) 0 100 200.00
86 0 107(50)83(50) 0 100 180.00
87 0 95(q) 83(100 ?q) 0 100 160.00
88 0 120(q) 108(100 ?q) 0 100 199.99
89 0 108(50)84(50) 0 100 179.99
90 0 96(q) 84(100 ?q) 0 100 160.01
Total Distance 10711.07
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
518
Table A.171: Estimated solutions for MDA15.
No. Route Load Distance
1 0 1(50)2(50) 0 100 25.18
2 0 25(50)26(50) 0 100 75.53
3 0 13(q) 1(100 ?q) 0 100 40.00
4 0 14(q) 2(100 ?q) 0 100 40.00
5 0 37(q) 25(100 ?q) 0 100 80.00
6 0 38(q) 26(100 ?q) 0 100 80.00
7 0 3(50)4(50) 0 100 25.18
8 0 27(50)28(50) 0 100 75.53
9 0 15(q) 3(100 ?q) 0 100 40.00
10 0 16(q) 4(100 ?q) 0 100 40.00
11 0 39(q) 27(100 ?q) 0 100 80.00
12 0 40(q) 28(100 ?q) 0 100 80.00
13 0 5(50)6(50) 0 100 25.18
14 0 29(50)30(50) 0 100 75.53
15 0 17(q) 5(100 ?q) 0 100 40.00
16 0 18(q) 6(100 ?q) 0 100 40.00
17 0 41(q) 29(100 ?q) 0 100 80.00
18 0 42(q) 30(100 ?q) 0 100 80.00
19 0 7(50)8(50) 0 100 25.18
20 0 31(50)32(50) 0 100 75.53
21 0 19(q) 7(100 ?q) 0 100 40.00
22 0 20(q) 8(100 ?q) 0 100 40.00
23 0 43(q) 31(100 ?q) 0 100 80.00
24 0 44(q) 32(100 ?q) 0 100 80.00
25 0 9(50)10(50) 0 100 25.18
26 0 33(50)34(50) 0 100 75.53
27 0 21(q) 9(100 ?q) 0 100 40.00
28 0 22(q) 10(100 ?q) 0 100 40.00
29 0 45(q) 33(100 ?q) 0 100 80.00
30 0 46(q) 34(100 ?q) 0 100 80.00
31 0 11(50)12(50) 0 100 25.18
32 0 35(50)36(50) 0 100 75.53
33 0 23(q) 11(100 ?q) 0 100 40.00
(cont.)
519
Table A.171 continued.
No. Route Load Distance
34 0 24(q) 12(100 ?q) 0 100 40.00
35 0 47(q) 35(100 ?q) 0 100 79.99
36 0 48(q) 36(100 ?q) 0 100 80.01
37 0 85(q) 73(100 ?q) 0 100 160.00
38 0 73(50)49(50) 0 100 140.00
39 0 61(q) 49(100 ?q) 0 100 120.00
40 0 86(q) 74(100 ?q) 0 100 160.00
41 0 74(50)50(50) 0 100 140.00
42 0 62(q) 50(100 ?q) 0 100 120.00
43 0 87(q) 75(100 ?q) 0 100 160.00
44 0 75(50)51(50) 0 100 140.00
45 0 63(q) 51(100 ?q) 0 100 120.00
46 0 88(q) 76(100 ?q) 0 100 160.00
47 0 76(50)52(50) 0 100 140.00
48 0 64(q) 52(100 ?q) 0 100 120.00
49 0 89(q) 77(100 ?q) 0 100 160.00
50 0 77(50)53(50) 0 100 140.00
51 0 65(q) 53(100 ?q) 0 100 120.00
52 0 90(q) 78(100 ?q) 0 100 160.01
53 0 78(50)54(50) 0 100 140.00
54 0 66(q) 54(100 ?q) 0 100 120.00
55 0 91(q) 79(100 ?q) 0 100 160.00
56 0 79(50)55(50) 0 100 140.00
57 0 67(q) 55(100 ?q) 0 100 120.00
58 0 92(q) 80(100 ?q) 0 100 160.00
59 0 80(50)56(50) 0 100 140.00
60 0 68(q) 56(100 ?q) 0 100 119.99
61 0 93(q) 81(100 ?q) 0 100 160.01
62 0 81(50)57(50) 0 100 140.01
63 0 69(q) 57(100 ?q) 0 100 120.01
64 0 94(q) 82(100 ?q) 0 100 160.00
65 0 82(50)58(50) 0 100 140.00
66 0 70(q) 58(100 ?q) 0 100 120.00
(cont.)
520
Table A.171 continued.
No. Route Load Distance
67 0 95(q) 83(100 ?q) 0 100 160.00
68 0 83(50)59(50) 0 100 140.00
69 0 71(q) 59(100 ?q) 0 100 120.00
70 0 96(q) 84(100 ?q) 0 100 160.01
71 0 84(50)60(50) 0 100 140.01
72 0 72(q) 60(100 ?q) 0 100 120.01
73 0 133(q) 121(100 ?q) 0 100 240.00
74 0 121(50)97(50) 0 100 220.00
75 0 109(q) 97(100 ?q) 0 100 200.00
76 0 134(q) 122(100 ?q) 0 100 239.99
77 0 122(50)98(50) 0 100 220.00
78 0 110(q) 98(100 ?q) 0 100 200.00
79 0 135(q) 123(100 ?q) 0 100 239.99
80 0 123(50)99(50) 0 100 220.00
81 0 111(q) 99(100 ?q) 0 100 200.00
82 0 136(q) 124(100 ?q) 0 100 240.00
83 0 124(50)100(50) 0 100 220.00
84 0 112(q) 100(100 ?q) 0 100 200.00
85 0 137(q) 125(100 ?q) 0 100 240.00
86 0 125(50)101(50) 0 100 220.00
87 0 113(q) 101(100 ?q) 0 100 200.00
88 0 138(q) 126(100 ?q) 0 100 240.00
89 0 126(50)102(50) 0 100 220.01
90 0 114(q) 102(100 ?q) 0 100 200.01
91 0 139(q) 127(100 ?q) 0 100 240.00
92 0 127(50)103(50) 0 100 220.00
93 0 115(q) 103(100 ?q) 0 100 200.00
94 0 140(q) 128(100 ?q) 0 100 240.00
95 0 128(50)104(50) 0 100 220.00
96 0 116(q) 104(100 ?q) 0 100 200.00
97 0 141(q) 129(100 ?q) 0 100 240.00
98 0 129(50)105(50) 0 100 220.01
99 0 117(q) 105(100 ?q) 0 100 200.01
(cont.)
521
Table A.171 continued.
No. Route Load Distance
100 0 142(q) 130(100 ?q) 0 100 240.00
101 0 130(50)106(50) 0 100 220.00
102 0 118(q) 106(100 ?q) 0 100 200.00
103 0 143(q) 131(100 ?q) 0 100 239.99
104 0 131(50)107(50) 0 100 220.00
105 0 119(q) 107(100 ?q) 0 100 200.00
106 0 144(q) 132(100 ?q) 0 100 240.00
107 0 132(50)108(50) 0 100 220.00
108 0 120(q) 108(100 ?q) 0 100 199.99
Total Distance 15004.22
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
522
Table A.172: Estimated solutions for MDA16.
No. Route Load Distance
1 0 1(50)2(50) 0 100 20.87
2 0 73(q) 1(100 ?q) 0 100 40.00
3 0 74(q) 2(100 ?q) 0 100 39.99
4 0 3(50)4(50) 0 100 20.87
5 0 75(q) 3(100 ?q) 0 100 40.01
6 0 76(q) 4(100 ?q) 0 100 40.00
7 0 5(50)6(50) 0 100 20.88
8 0 77(q) 5(100 ?q) 0 100 39.99
9 0 78(q) 6(100 ?q) 0 100 40.00
10 0 7(50)8(50) 0 100 20.88
11 0 79(q) 7(100 ?q) 0 100 40.00
12 0 80(q) 8(100 ?q) 0 100 39.99
13 0 9(50)10(50) 0 100 20.87
14 0 81(q) 9(100 ?q) 0 100 40.00
15 0 82(q) 10(100 ?q) 0 100 39.99
16 0 11(50)12(50) 0 100 20.87
17 0 83(q) 11(100 ?q) 0 100 40.00
18 0 84(q) 12(100 ?q) 0 100 39.99
19 0 13(50)14(50) 0 100 20.87
20 0 85(q) 13(100 ?q) 0 100 40.00
21 0 86(q) 14(100 ?q) 0 100 40.00
22 0 15(50)16(50) 0 100 20.87
23 0 87(q) 15(100 ?q) 0 100 39.99
24 0 88(q) 16(100 ?q) 0 100 40.00
25 0 17(50)18(50) 0 100 20.88
26 0 89(q) 17(100 ?q) 0 100 40.01
27 0 90(q) 18(100 ?q) 0 100 39.99
28 0 19(50)20(50) 0 100 20.87
29 0 91(q) 19(100 ?q) 0 100 40.00
30 0 92(q) 20(100 ?q) 0 100 39.99
31 0 21(50)22(50) 0 100 20.87
32 0 93(q) 21(100 ?q) 0 100 40.01
33 0 94(q) 22(100 ?q) 0 100 40.00
(cont.)
523
Table A.172 continued.
No. Route Load Distance
34 0 23(50)24(50) 0 100 20.88
35 0 95(q) 23(100 ?q) 0 100 39.99
36 0 96(q) 24(100 ?q) 0 100 40.00
37 0 25(50)26(50) 0 100 20.88
38 0 97(q) 25(100 ?q) 0 100 40.00
39 0 98(q) 26(100 ?q) 0 100 39.99
40 0 27(50)28(50) 0 100 20.87
41 0 99(q) 27(100 ?q) 0 100 39.99
42 0 100(q) 28(100 ?q) 0 100 39.99
43 0 29(50)30(50) 0 100 20.87
44 0 101(q) 29(100 ?q) 0 100 40.00
45 0 102(q) 30(100 ?q) 0 100 39.99
46 0 31(50)32(50) 0 100 20.87
47 0 103(q) 31(100 ?q) 0 100 40.00
48 0 104(q) 32(100 ?q) 0 100 40.00
49 0 33(50)34(50) 0 100 20.87
50 0 105(q) 33(100 ?q) 0 100 39.99
51 0 106(q) 34(100 ?q) 0 100 40.00
52 0 35(50)36(50) 0 100 20.88
53 0 107(q) 35(100 ?q) 0 100 40.01
54 0 108(q) 36(100 ?q) 0 100 39.99
55 0 37(50)38(50) 0 100 20.87
56 0 109(q) 37(100 ?q) 0 100 40.00
57 0 110(q) 38(100 ?q) 0 100 39.99
58 0 39(50)40(50) 0 100 20.87
59 0 111(q) 39(100 ?q) 0 100 40.01
60 0 112(q) 40(100 ?q) 0 100 40.00
61 0 41(50)42(50) 0 100 20.88
62 0 113(q) 41(100 ?q) 0 100 39.99
63 0 114(q) 42(100 ?q) 0 100 40.00
64 0 43(50)44(50) 0 100 20.86
65 0 115(q) 43(100 ?q) 0 100 40.00
66 0 116(q) 44(100 ?q) 0 100 39.99
(cont.)
524
Table A.172 continued.
No. Route Load Distance
67 0 45(50)46(50) 0 100 20.87
68 0 117(q) 45(100 ?q) 0 100 39.99
69 0 118(q) 46(100 ?q) 0 100 39.99
70 0 47(50)48(50) 0 100 20.87
71 0 119(q) 47(100 ?q) 0 100 40.00
72 0 120(q) 48(100 ?q) 0 100 39.99
73 0 49(50)50(50) 0 100 20.87
74 0 121(q) 49(100 ?q) 0 100 40.00
75 0 122(q) 50(100 ?q) 0 100 40.00
76 0 51(50)52(50) 0 100 20.87
77 0 123(q) 51(100 ?q) 0 100 39.99
78 0 124(q) 52(100 ?q) 0 100 40.00
79 0 53(50)54(50) 0 100 20.88
80 0 125(q) 53(100 ?q) 0 100 40.01
81 0 126(q) 54(100 ?q) 0 100 39.99
82 0 55(50)56(50) 0 100 20.87
83 0 127(q) 55(100 ?q) 0 100 40.00
84 0 128(q) 56(100 ?q) 0 100 39.99
85 0 57(50)58(50) 0 100 20.87
86 0 129(q) 57(100 ?q) 0 100 40.01
87 0 130(q) 58(100 ?q) 0 100 40.00
88 0 59(50)60(50) 0 100 20.87
89 0 131(q) 59(100 ?q) 0 100 39.99
90 0 132(q) 60(100 ?q) 0 100 40.00
91 0 61(50)62(50) 0 100 20.86
92 0 133(q) 61(100 ?q) 0 100 40.00
93 0 134(q) 62(100 ?q) 0 100 39.99
94 0 63(50)64(50) 0 100 20.87
95 0 135(q) 63(100 ?q) 0 100 39.99
96 0 136(q) 64(100 ?q) 0 100 39.99
97 0 65(50)66(50) 0 100 20.87
98 0 137(q) 65(100 ?q) 0 100 40.00
99 0 138(q) 66(100 ?q) 0 100 39.99
(cont.)
525
Table A.172 continued.
No. Route Load Distance
100 0 67(50)68(50) 0 100 20.87
101 0 139(q) 67(100 ?q) 0 100 40.00
102 0 140(q) 68(100 ?q) 0 100 40.00
103 0 69(50)70(50) 0 100 20.87
104 0 141(q) 69(100 ?q) 0 100 39.99
105 0 142(q) 70(100 ?q) 0 100 40.00
106 0 71(50)72(50) 0 100 20.88
107 0 143(q) 71(100 ?q) 0 100 40.01
108 0 144(q) 72(100 ?q) 0 100 39.99
Total Distance 3631.30
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
526
Table A.173: Estimated solutions for MDA17.
No. Route Load Distance
1 0 1(50)2(50) 0 100 27.65
2 0 17(50)18(50) 0 100 82.95
3 0 9(q) 1(100 ?q) 0 100 40.00
4 0 10(q) 2(100 ?q) 0 100 39.99
5 0 25(q) 17(100 ?q) 0 100 80.00
6 0 26(q) 18(100 ?q) 0 100 79.99
7 0 3(50)4(50) 0 100 27.65
8 0 19(50)20(50) 0 100 82.95
9 0 11(q) 3(100 ?q) 0 100 40.00
10 0 12(q) 4(100 ?q) 0 100 39.99
11 0 27(q) 19(100 ?q) 0 100 80.00
12 0 28(q) 20(100 ?q) 0 100 80.00
13 0 5(50)6(50) 0 100 27.65
14 0 21(50)22(50) 0 100 82.96
15 0 13(q) 5(100 ?q) 0 100 40.00
16 0 14(q) 6(100 ?q) 0 100 39.99
17 0 29(q) 21(100 ?q) 0 100 80.00
18 0 30(q) 22(100 ?q) 0 100 80.00
19 0 7(50)8(50) 0 100 27.65
20 0 23(50)24(50) 0 100 82.96
21 0 15(q) 7(100 ?q) 0 100 40.00
22 0 16(q) 8(100 ?q) 0 100 39.99
23 0 31(q) 23(100 ?q) 0 100 80.00
24 0 32(q) 24(100 ?q) 0 100 80.00
25 0 57(q) 49(100 ?q) 0 100 160.00
26 0 49(50)33(50) 0 100 140.00
27 0 41(q) 33(100 ?q) 0 100 120.00
28 0 58(q) 50(100 ?q) 0 100 160.00
29 0 50(50)34(50) 0 100 140.01
30 0 42(q) 34(100 ?q) 0 100 120.01
31 0 59(q) 51(100 ?q) 0 100 160.00
32 0 51(50)35(50) 0 100 140.00
33 0 43(q) 35(100 ?q) 0 100 120.00
(cont.)
527
Table A.173 continued.
No. Route Load Distance
34 0 60(q) 52(100 ?q) 0 100 159.99
35 0 52(50)36(50) 0 100 139.99
36 0 44(q) 36(100 ?q) 0 100 120.00
37 0 61(q) 53(100 ?q) 0 100 160.00
38 0 53(50)37(50) 0 100 140.00
39 0 45(q) 37(100 ?q) 0 100 120.00
40 0 62(q) 54(100 ?q) 0 100 160.00
41 0 54(50)38(50) 0 100 139.99
42 0 46(q) 38(100 ?q) 0 100 120.00
43 0 63(q) 55(100 ?q) 0 100 160.00
44 0 55(50)39(50) 0 100 140.00
45 0 47(q) 39(100 ?q) 0 100 120.00
46 0 64(q) 56(100 ?q) 0 100 160.00
47 0 56(50)40(50) 0 100 140.01
48 0 48(q) 40(100 ?q) 0 100 120.00
49 0 89(q) 81(100 ?q) 0 100 240.00
50 0 81(50)65(50) 0 100 220.00
51 0 73(q) 65(100 ?q) 0 100 200.00
52 0 90(q) 82(100 ?q) 0 100 239.99
53 0 82(50)66(50) 0 100 220.00
54 0 74(q) 66(100 ?q) 0 100 200.00
55 0 91(q) 83(100 ?q) 0 100 240.00
56 0 83(50)67(50) 0 100 220.00
57 0 75(q) 67(100 ?q) 0 100 200.00
58 0 92(q) 84(100 ?q) 0 100 240.01
59 0 84(50)68(50) 0 100 220.01
60 0 76(q) 68(100 ?q) 0 100 200.01
61 0 93(q) 85(100 ?q) 0 100 240.00
62 0 85(50)69(50) 0 100 220.00
63 0 77(q) 69(100 ?q) 0 100 200.00
64 0 94(q) 86(100 ?q) 0 100 239.99
65 0 86(50)70(50) 0 100 220.00
66 0 78(q) 70(100 ?q) 0 100 200.00
(cont.)
528
Table A.173 continued.
No. Route Load Distance
67 0 95(q) 87(100 ?q) 0 100 240.00
68 0 87(50)71(50) 0 100 220.00
69 0 79(q) 71(100 ?q) 0 100 200.00
70 0 96(q) 88(100 ?q) 0 100 240.01
71 0 88(50)72(50) 0 100 220.00
72 0 80(q) 72(100 ?q) 0 100 200.00
73 0 121(q) 113(100 ?q) 0 100 320.00
74 0 113(50)97(50) 0 100 300.00
75 0 105(q) 97(100 ?q) 0 100 280.00
76 0 122(q) 114(100 ?q) 0 100 319.99
77 0 114(50)98(50) 0 100 300.00
78 0 106(q) 98(100 ?q) 0 100 280.00
79 0 123(q) 115(100 ?q) 0 100 320.00
80 0 115(50)99(50) 0 100 300.00
81 0 107(q) 99(100 ?q) 0 100 280.00
82 0 124(q) 116(100 ?q) 0 100 319.99
83 0 116(50)100(50) 0 100 300.00
84 0 108(q) 100(100 ?q) 0 100 280.00
85 0 125(q) 117(100 ?q) 0 100 320.00
86 0 117(50)101(50) 0 100 300.00
87 0 109(q) 101(100 ?q) 0 100 280.00
88 0 126(q) 118(100 ?q) 0 100 319.99
89 0 118(50)102(50) 0 100 300.00
90 0 110(q) 102(100 ?q) 0 100 280.00
91 0 127(q) 119(100 ?q) 0 100 320.00
92 0 119(50)103(50) 0 100 300.00
93 0 111(q) 103(100 ?q) 0 100 280.00
94 0 128(q) 120(100 ?q) 0 100 320.01
95 0 120(50)104(50) 0 100 300.00
96 0 112(q) 104(100 ?q) 0 100 280.00
97 0 153(q) 145(100 ?q) 0 100 400.00
98 0 145(50)129(50) 0 100 380.00
99 0 137(q) 129(100 ?q) 0 100 360.00
(cont.)
529
Table A.173 continued.
No. Route Load Distance
100 0 154(q) 146(100 ?q) 0 100 400.00
101 0 146(50)130(50) 0 100 380.00
102 0 138(q) 130(100 ?q) 0 100 360.00
103 0 155(q) 147(100 ?q) 0 100 400.00
104 0 147(50)131(50) 0 100 380.00
105 0 139(q) 131(100 ?q) 0 100 360.00
106 0 156(q) 148(100 ?q) 0 100 400.00
107 0 148(50)132(50) 0 100 380.00
108 0 140(q) 132(100 ?q) 0 100 360.00
109 0 157(q) 149(100 ?q) 0 100 400.00
110 0 149(50)133(50) 0 100 380.00
111 0 141(q) 133(100 ?q) 0 100 360.00
112 0 158(q) 150(100 ?q) 0 100 400.00
113 0 150(50)134(50) 0 100 380.00
114 0 142(q) 134(100 ?q) 0 100 359.99
115 0 159(q) 151(100 ?q) 0 100 400.00
116 0 151(50)135(50) 0 100 380.00
117 0 143(q) 135(100 ?q) 0 100 360.00
118 0 160(q) 152(100 ?q) 0 100 400.00
119 0 152(50)136(50) 0 100 380.00
120 0 144(q) 136(100 ?q) 0 100 360.00
Total Distance 26362.36
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
530
Table A.174: Estimated solutions for MDA18.
No. Route Load Distance
1 0 1(50)2(50) 0 100 23.91
2 0 17(q) 1(100 ?q) 0 100 40.00
3 0 18(q) 2(100 ?q) 0 100 40.00
4 0 3(50)4(50) 0 100 23.90
5 0 19(q) 3(100 ?q) 0 100 39.99
6 0 20(q) 4(100 ?q) 0 100 40.00
7 0 5(50)6(50) 0 100 23.91
8 0 21(q) 5(100 ?q) 0 100 40.00
9 0 22(q) 6(100 ?q) 0 100 40.00
10 0 7(50)8(50) 0 100 23.90
11 0 23(q) 7(100 ?q) 0 100 39.99
12 0 24(q) 8(100 ?q) 0 100 40.01
13 0 9(50)10(50) 0 100 23.91
14 0 25(q) 9(100 ?q) 0 100 40.00
15 0 26(q) 10(100 ?q) 0 100 40.00
16 0 11(50)12(50) 0 100 23.90
17 0 27(q) 11(100 ?q) 0 100 39.99
18 0 28(q) 12(100 ?q) 0 100 40.01
19 0 13(50)14(50) 0 100 23.91
20 0 29(q) 13(100 ?q) 0 100 40.00
21 0 30(q) 14(100 ?q) 0 100 40.00
22 0 15(50)16(50) 0 100 23.90
23 0 31(q) 15(100 ?q) 0 100 39.99
24 0 32(q) 16(100 ?q) 0 100 40.01
25 0 33(50)34(50) 0 100 71.71
26 0 65(50)66(50) 0 100 119.50
27 0 49(q) 33(100 ?q) 0 100 80.00
28 0 50(q) 34(100 ?q) 0 100 80.01
29 0 81(q) 65(100 ?q) 0 100 120.00
30 0 82(q) 66(100 ?q) 0 100 119.99
31 0 35(50)36(50) 0 100 71.71
32 0 67(50)68(50) 0 100 119.51
33 0 51(q) 35(100 ?q) 0 100 79.99
(cont.)
531
Table A.174 continued.
No. Route Load Distance
34 0 52(q) 36(100 ?q) 0 100 79.99
35 0 83(q) 67(100 ?q) 0 100 120.01
36 0 84(q) 68(100 ?q) 0 100 119.99
37 0 37(50)38(50) 0 100 71.71
38 0 69(50)70(50) 0 100 119.51
39 0 53(q) 37(100 ?q) 0 100 80.00
40 0 54(q) 38(100 ?q) 0 100 80.01
41 0 85(q) 69(100 ?q) 0 100 120.00
42 0 86(q) 70(100 ?q) 0 100 119.99
43 0 39(50)40(50) 0 100 71.71
44 0 71(50)72(50) 0 100 119.51
45 0 55(q) 39(100 ?q) 0 100 80.00
46 0 56(q) 40(100 ?q) 0 100 79.99
47 0 87(q) 71(100 ?q) 0 100 120.00
48 0 88(q) 72(100 ?q) 0 100 120.00
49 0 41(50)42(50) 0 100 71.71
50 0 73(50)74(50) 0 100 119.51
51 0 57(q) 41(100 ?q) 0 100 80.00
52 0 58(q) 42(100 ?q) 0 100 80.00
53 0 89(q) 73(100 ?q) 0 100 120.00
54 0 90(q) 74(100 ?q) 0 100 120.01
55 0 43(50)44(50) 0 100 71.71
56 0 75(50)76(50) 0 100 119.51
57 0 59(q) 43(100 ?q) 0 100 80.00
58 0 60(q) 44(100 ?q) 0 100 79.99
59 0 91(q) 75(100 ?q) 0 100 120.00
60 0 92(q) 76(100 ?q) 0 100 120.00
61 0 45(50)46(50) 0 100 71.71
62 0 77(50)78(50) 0 100 119.52
63 0 61(q) 45(100 ?q) 0 100 80.00
64 0 62(q) 46(100 ?q) 0 100 80.00
65 0 93(q) 77(100 ?q) 0 100 120.00
66 0 94(q) 78(100 ?q) 0 100 120.00
(cont.)
532
Table A.174 continued.
No. Route Load Distance
67 0 47(50)48(50) 0 100 71.70
68 0 79(50)80(50) 0 100 119.51
69 0 63(q) 47(100 ?q) 0 100 80.00
70 0 64(q) 48(100 ?q) 0 100 79.99
71 0 95(q) 79(100 ?q) 0 100 120.00
72 0 96(q) 80(100 ?q) 0 100 120.00
73 0 145(q) 129(100 ?q) 0 100 200.00
74 0 129(50)97(50) 0 100 180.00
75 0 113(q) 97(100 ?q) 0 100 160.00
76 0 146(q) 130(100 ?q) 0 100 200.01
77 0 130(50)98(50) 0 100 180.00
78 0 114(q) 98(100 ?q) 0 100 160.00
79 0 147(q) 131(100 ?q) 0 100 200.00
80 0 131(50)99(50) 0 100 180.00
81 0 115(q) 99(100 ?q) 0 100 160.00
82 0 148(q) 132(100 ?q) 0 100 200.01
83 0 132(50)100(50) 0 100 180.00
84 0 116(q) 100(100 ?q) 0 100 160.00
85 0 149(q) 133(100 ?q) 0 100 200.00
86 0 133(50)101(50) 0 100 180.00
87 0 117(q) 101(100 ?q) 0 100 160.00
88 0 150(q) 134(100 ?q) 0 100 200.00
89 0 134(50)102(50) 0 100 180.00
90 0 118(q) 102(100 ?q) 0 100 160.00
91 0 151(q) 135(100 ?q) 0 100 200.01
92 0 135(50)103(50) 0 100 180.00
93 0 119(q) 103(100 ?q) 0 100 159.99
94 0 152(q) 136(100 ?q) 0 100 199.99
95 0 136(50)104(50) 0 100 180.01
96 0 120(q) 104(100 ?q) 0 100 160.00
97 0 153(q) 137(100 ?q) 0 100 200.00
98 0 137(50)105(50) 0 100 180.00
99 0 121(q) 105(100 ?q) 0 100 160.00
(cont.)
533
Table A.174 continued.
No. Route Load Distance
100 0 154(q) 138(100 ?q) 0 100 200.00
101 0 138(50)106(50) 0 100 179.99
102 0 122(q) 106(100 ?q) 0 100 160.00
103 0 155(q) 139(100 ?q) 0 100 200.00
104 0 139(50)107(50) 0 100 180.00
105 0 123(q) 107(100 ?q) 0 100 160.00
106 0 156(q) 140(100 ?q) 0 100 199.99
107 0 140(50)108(50) 0 100 179.99
108 0 124(q) 108(100 ?q) 0 100 160.00
109 0 157(q) 141(100 ?q) 0 100 200.00
110 0 141(50)109(50) 0 100 180.00
111 0 125(q) 109(100 ?q) 0 100 160.00
112 0 158(q) 142(100 ?q) 0 100 199.99
113 0 142(50)110(50) 0 100 179.99
114 0 126(q) 110(100 ?q) 0 100 159.99
115 0 159(q) 143(100 ?q) 0 100 200.00
116 0 143(50)111(50) 0 100 180.00
117 0 127(q) 111(100 ?q) 0 100 160.00
118 0 160(q) 144(100 ?q) 0 100 199.99
119 0 144(50)112(50) 0 100 180.00
120 0 128(q) 112(100 ?q) 0 100 160.01
Total Distance 14200.92
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
534
Table A.175: Estimated solutions for MDA19.
No. Route Load Distance
1 0 1(50)2(50) 0 100 23.91
2 0 33(50)34(50) 0 100 71.71
3 0 17(q) 1(100 ?q) 0 100 40.00
4 0 18(q) 2(100 ?q) 0 100 40.00
5 0 49(q) 33(100 ?q) 0 100 80.00
6 0 50(q) 34(100 ?q) 0 100 80.01
7 0 3(50)4(50) 0 100 23.90
8 0 35(50)36(50) 0 100 71.71
9 0 19(q) 3(100 ?q) 0 100 39.99
10 0 20(q) 4(100 ?q) 0 100 40.00
11 0 51(q) 35(100 ?q) 0 100 79.99
12 0 52(q) 36(100 ?q) 0 100 79.99
13 0 5(50)6(50) 0 100 23.91
14 0 37(50)38(50) 0 100 71.71
15 0 21(q) 5(100 ?q) 0 100 40.00
16 0 22(q) 6(100 ?q) 0 100 40.00
17 0 53(q) 37(100 ?q) 0 100 80.00
18 0 54(q) 38(100 ?q) 0 100 80.01
19 0 7(50)8(50) 0 100 23.90
20 0 39(50)40(50) 0 100 71.71
21 0 23(q) 7(100 ?q) 0 100 39.99
22 0 24(q) 8(100 ?q) 0 100 40.01
23 0 55(q) 39(100 ?q) 0 100 80.00
24 0 56(q) 40(100 ?q) 0 100 79.99
25 0 9(50)10(50) 0 100 23.91
26 0 41(50)42(50) 0 100 71.71
27 0 25(q) 9(100 ?q) 0 100 40.00
28 0 26(q) 10(100 ?q) 0 100 40.00
29 0 57(q) 41(100 ?q) 0 100 80.00
30 0 58(q) 42(100 ?q) 0 100 80.00
31 0 11(50)12(50) 0 100 23.90
32 0 43(50)44(50) 0 100 71.71
33 0 27(q) 11(100 ?q) 0 100 39.99
(cont.)
535
Table A.175 continued.
No. Route Load Distance
34 0 28(q) 12(100 ?q) 0 100 40.01
35 0 59(q) 43(100 ?q) 0 100 80.00
36 0 60(q) 44(100 ?q) 0 100 79.99
37 0 13(50)14(50) 0 100 23.91
38 0 45(50)46(50) 0 100 71.71
39 0 29(q) 13(100 ?q) 0 100 40.00
40 0 30(q) 14(100 ?q) 0 100 40.00
41 0 61(q) 45(100 ?q) 0 100 80.00
42 0 62(q) 46(100 ?q) 0 100 80.00
43 0 15(50)16(50) 0 100 23.90
44 0 47(50)48(50) 0 100 71.70
45 0 31(q) 15(100 ?q) 0 100 39.99
46 0 32(q) 16(100 ?q) 0 100 40.01
47 0 63(q) 47(100 ?q) 0 100 80.00
48 0 64(q) 48(100 ?q) 0 100 79.99
49 0 113(q) 97(100 ?q) 0 100 160.00
50 0 97(50)65(50) 0 100 140.00
51 0 81(q) 65(100 ?q) 0 100 120.00
52 0 114(q) 98(100 ?q) 0 100 160.00
53 0 98(50)66(50) 0 100 140.00
54 0 82(q) 66(100 ?q) 0 100 119.99
55 0 115(q) 99(100 ?q) 0 100 160.00
56 0 99(50)67(50) 0 100 140.01
57 0 83(q) 67(100 ?q) 0 100 120.01
58 0 116(q) 100(100 ?q) 0 100 160.00
59 0 100(50)68(50) 0 100 140.00
60 0 84(q) 68(100 ?q) 0 100 119.99
61 0 117(q) 101(100 ?q) 0 100 160.00
62 0 101(50)69(50) 0 100 140.00
63 0 85(q) 69(100 ?q) 0 100 120.00
64 0 118(q) 102(100 ?q) 0 100 160.00
65 0 102(50)70(50) 0 100 139.99
66 0 86(q) 70(100 ?q) 0 100 119.99
(cont.)
536
Table A.175 continued.
No. Route Load Distance
67 0 119(q) 103(100 ?q) 0 100 159.99
68 0 103(50)71(50) 0 100 139.99
69 0 87(q) 71(100 ?q) 0 100 120.00
70 0 120(q) 104(100 ?q) 0 100 160.00
71 0 104(50)72(50) 0 100 140.00
72 0 88(q) 72(100 ?q) 0 100 120.00
73 0 121(q) 105(100 ?q) 0 100 160.00
74 0 105(50)73(50) 0 100 140.00
75 0 89(q) 73(100 ?q) 0 100 120.00
76 0 122(q) 106(100 ?q) 0 100 160.00
77 0 106(50)74(50) 0 100 139.99
78 0 90(q) 74(100 ?q) 0 100 120.01
79 0 123(q) 107(100 ?q) 0 100 160.00
80 0 107(50)75(50) 0 100 139.99
81 0 91(q) 75(100 ?q) 0 100 120.00
82 0 124(q) 108(100 ?q) 0 100 160.00
83 0 108(50)76(50) 0 100 140.01
84 0 92(q) 76(100 ?q) 0 100 120.00
85 0 125(q) 109(100 ?q) 0 100 160.00
86 0 109(50)77(50) 0 100 140.00
87 0 93(q) 77(100 ?q) 0 100 120.00
88 0 126(q) 110(100 ?q) 0 100 159.99
89 0 110(50)78(50) 0 100 140.01
90 0 94(q) 78(100 ?q) 0 100 120.00
91 0 127(q) 111(100 ?q) 0 100 160.00
92 0 111(50)79(50) 0 100 140.01
93 0 95(q) 79(100 ?q) 0 100 120.00
94 0 128(q) 112(100 ?q) 0 100 160.01
95 0 112(50)80(50) 0 100 140.01
96 0 96(q) 80(100 ?q) 0 100 120.00
97 0 177(q) 161(100 ?q) 0 100 240.00
98 0 161(50)129(50) 0 100 220.00
99 0 145(q) 129(100 ?q) 0 100 200.00
(cont.)
537
Table A.175 continued.
No. Route Load Distance
100 0 178(q) 162(100 ?q) 0 100 240.01
101 0 162(50)130(50) 0 100 220.00
102 0 146(q) 130(100 ?q) 0 100 200.01
103 0 179(q) 163(100 ?q) 0 100 239.99
104 0 163(50)131(50) 0 100 220.00
105 0 147(q) 131(100 ?q) 0 100 200.00
106 0 180(q) 164(100 ?q) 0 100 240.00
107 0 164(50)132(50) 0 100 220.01
108 0 148(q) 132(100 ?q) 0 100 200.01
109 0 181(q) 165(100 ?q) 0 100 240.00
110 0 165(50)133(50) 0 100 220.00
111 0 149(q) 133(100 ?q) 0 100 200.00
112 0 182(q) 166(100 ?q) 0 100 240.01
113 0 166(50)134(50) 0 100 220.00
114 0 150(q) 134(100 ?q) 0 100 200.00
115 0 183(q) 167(100 ?q) 0 100 240.01
116 0 167(50)135(50) 0 100 220.01
117 0 151(q) 135(100 ?q) 0 100 200.01
118 0 184(q) 168(100 ?q) 0 100 240.00
119 0 168(50)136(50) 0 100 219.99
120 0 152(q) 136(100 ?q) 0 100 199.99
121 0 185(q) 169(100 ?q) 0 100 240.00
122 0 169(50)137(50) 0 100 220.00
123 0 153(q) 137(100 ?q) 0 100 200.00
124 0 186(q) 170(100 ?q) 0 100 240.00
125 0 170(50)138(50) 0 100 219.99
126 0 154(q) 138(100 ?q) 0 100 200.00
127 0 187(q) 171(100 ?q) 0 100 239.99
128 0 171(50)139(50) 0 100 220.00
129 0 155(q) 139(100 ?q) 0 100 200.00
130 0 188(q) 172(100 ?q) 0 100 240.00
131 0 172(50)140(50) 0 100 220.00
132 0 156(q) 140(100 ?q) 0 100 199.99
(cont.)
538
Table A.175 continued.
No. Route Load Distance
133 0 189(q) 173(100 ?q) 0 100 240.00
134 0 173(50)141(50) 0 100 220.00
135 0 157(q) 141(100 ?q) 0 100 200.00
136 0 190(q) 174(100 ?q) 0 100 240.00
137 0 174(50)142(50) 0 100 219.99
138 0 158(q) 142(100 ?q) 0 100 199.99
139 0 191(q) 175(100 ?q) 0 100 240.01
140 0 175(50)143(50) 0 100 220.00
141 0 159(q) 143(100 ?q) 0 100 200.00
142 0 192(q) 176(100 ?q) 0 100 240.00
143 0 176(50)144(50) 0 100 220.00
144 0 160(q) 144(100 ?q) 0 100 199.99
Total Distance 19964.86
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
539
Table A.176: Estimated solutions for MDA20.
No. Route Load Distance
1 0 1(50)2(50) 0 100 25.18
2 0 25(50)26(50) 0 100 75.53
3 0 13(q) 1(100 ?q) 0 100 40.00
4 0 14(q) 2(100 ?q) 0 100 40.00
5 0 37(q) 25(100 ?q) 0 100 80.00
6 0 38(q) 26(100 ?q) 0 100 80.00
7 0 3(50)4(50) 0 100 25.18
8 0 27(50)28(50) 0 100 75.53
9 0 15(q) 3(100 ?q) 0 100 40.00
10 0 16(q) 4(100 ?q) 0 100 40.00
11 0 39(q) 27(100 ?q) 0 100 80.00
12 0 40(q) 28(100 ?q) 0 100 80.00
13 0 5(50)6(50) 0 100 25.18
14 0 29(50)30(50) 0 100 75.53
15 0 17(q) 5(100 ?q) 0 100 40.00
16 0 18(q) 6(100 ?q) 0 100 40.00
17 0 41(q) 29(100 ?q) 0 100 80.00
18 0 42(q) 30(100 ?q) 0 100 80.00
19 0 7(50)8(50) 0 100 25.18
20 0 31(50)32(50) 0 100 75.53
21 0 19(q) 7(100 ?q) 0 100 40.00
22 0 20(q) 8(100 ?q) 0 100 40.00
23 0 43(q) 31(100 ?q) 0 100 80.00
24 0 44(q) 32(100 ?q) 0 100 80.00
25 0 9(50)10(50) 0 100 25.18
26 0 33(50)34(50) 0 100 75.53
27 0 21(q) 9(100 ?q) 0 100 40.00
28 0 22(q) 10(100 ?q) 0 100 40.00
29 0 45(q) 33(100 ?q) 0 100 80.00
30 0 46(q) 34(100 ?q) 0 100 80.00
31 0 11(50)12(50) 0 100 25.18
32 0 35(50)36(50) 0 100 75.53
33 0 23(q) 11(100 ?q) 0 100 40.00
(cont.)
540
Table A.176 continued.
No. Route Load Distance
34 0 24(q) 12(100 ?q) 0 100 40.00
35 0 47(q) 35(100 ?q) 0 100 79.99
36 0 48(q) 36(100 ?q) 0 100 80.01
37 0 85(q) 73(100 ?q) 0 100 160.00
38 0 73(50)49(50) 0 100 140.00
39 0 61(q) 49(100 ?q) 0 100 120.00
40 0 86(q) 74(100 ?q) 0 100 160.00
41 0 74(50)50(50) 0 100 140.00
42 0 62(q) 50(100 ?q) 0 100 120.00
43 0 87(q) 75(100 ?q) 0 100 160.00
44 0 75(50)51(50) 0 100 140.00
45 0 63(q) 51(100 ?q) 0 100 120.00
46 0 88(q) 76(100 ?q) 0 100 160.00
47 0 76(50)52(50) 0 100 140.00
48 0 64(q) 52(100 ?q) 0 100 120.00
49 0 89(q) 77(100 ?q) 0 100 160.00
50 0 77(50)53(50) 0 100 140.00
51 0 65(q) 53(100 ?q) 0 100 120.00
52 0 90(q) 78(100 ?q) 0 100 160.01
53 0 78(50)54(50) 0 100 140.00
54 0 66(q) 54(100 ?q) 0 100 120.00
55 0 91(q) 79(100 ?q) 0 100 160.00
56 0 79(50)55(50) 0 100 140.00
57 0 67(q) 55(100 ?q) 0 100 120.00
58 0 92(q) 80(100 ?q) 0 100 160.00
59 0 80(50)56(50) 0 100 140.00
60 0 68(q) 56(100 ?q) 0 100 119.99
61 0 93(q) 81(100 ?q) 0 100 160.01
62 0 81(50)57(50) 0 100 140.01
63 0 69(q) 57(100 ?q) 0 100 120.01
64 0 94(q) 82(100 ?q) 0 100 160.00
65 0 82(50)58(50) 0 100 140.00
66 0 70(q) 58(100 ?q) 0 100 120.00
(cont.)
541
Table A.176 continued.
No. Route Load Distance
67 0 95(q) 83(100 ?q) 0 100 160.00
68 0 83(50)59(50) 0 100 140.00
69 0 71(q) 59(100 ?q) 0 100 120.00
70 0 96(q) 84(100 ?q) 0 100 160.01
71 0 84(50)60(50) 0 100 140.01
72 0 72(q) 60(100 ?q) 0 100 120.01
73 0 133(q) 121(100 ?q) 0 100 240.00
74 0 121(50)97(50) 0 100 220.00
75 0 109(q) 97(100 ?q) 0 100 200.00
76 0 134(q) 122(100 ?q) 0 100 239.99
77 0 122(50)98(50) 0 100 220.00
78 0 110(q) 98(100 ?q) 0 100 200.00
79 0 135(q) 123(100 ?q) 0 100 239.99
80 0 123(50)99(50) 0 100 220.00
81 0 111(q) 99(100 ?q) 0 100 200.00
82 0 136(q) 124(100 ?q) 0 100 240.00
83 0 124(50)100(50) 0 100 220.00
84 0 112(q) 100(100 ?q) 0 100 200.00
85 0 137(q) 125(100 ?q) 0 100 240.00
86 0 125(50)101(50) 0 100 220.00
87 0 113(q) 101(100 ?q) 0 100 200.00
88 0 138(q) 126(100 ?q) 0 100 240.00
89 0 126(50)102(50) 0 100 220.01
90 0 114(q) 102(100 ?q) 0 100 200.01
91 0 139(q) 127(100 ?q) 0 100 240.00
92 0 127(50)103(50) 0 100 220.00
93 0 115(q) 103(100 ?q) 0 100 200.00
94 0 140(q) 128(100 ?q) 0 100 240.00
95 0 128(50)104(50) 0 100 220.00
96 0 116(q) 104(100 ?q) 0 100 200.00
97 0 141(q) 129(100 ?q) 0 100 240.00
98 0 129(50)105(50) 0 100 220.01
99 0 117(q) 105(100 ?q) 0 100 200.01
(cont.)
542
Table A.176 continued.
No. Route Load Distance
100 0 142(q) 130(100 ?q) 0 100 240.00
101 0 130(50)106(50) 0 100 220.00
102 0 118(q) 106(100 ?q) 0 100 200.00
103 0 143(q) 131(100 ?q) 0 100 239.99
104 0 131(50)107(50) 0 100 220.00
105 0 119(q) 107(100 ?q) 0 100 200.00
106 0 144(q) 132(100 ?q) 0 100 240.00
107 0 132(50)108(50) 0 100 220.00
108 0 120(q) 108(100 ?q) 0 100 199.99
109 0 181(q) 169(100 ?q) 0 100 320.00
110 0 169(50)145(50) 0 100 300.00
111 0 157(q) 145(100 ?q) 0 100 280.00
112 0 182(q) 170(100 ?q) 0 100 320.01
113 0 170(50)146(50) 0 100 299.99
114 0 158(q) 146(100 ?q) 0 100 279.99
115 0 183(q) 171(100 ?q) 0 100 319.99
116 0 171(50)147(50) 0 100 299.99
117 0 159(q) 147(100 ?q) 0 100 279.99
118 0 184(q) 172(100 ?q) 0 100 320.00
119 0 172(50)148(50) 0 100 300.00
120 0 160(q) 148(100 ?q) 0 100 280.00
121 0 185(q) 173(100 ?q) 0 100 320.00
122 0 173(50)149(50) 0 100 300.00
123 0 161(q) 149(100 ?q) 0 100 280.00
124 0 186(q) 174(100 ?q) 0 100 320.00
125 0 174(50)150(50) 0 100 300.00
126 0 162(q) 150(100 ?q) 0 100 280.00
127 0 187(q) 175(100 ?q) 0 100 320.00
128 0 175(50)151(50) 0 100 300.00
129 0 163(q) 151(100 ?q) 0 100 280.00
130 0 188(q) 176(100 ?q) 0 100 320.00
131 0 176(50)152(50) 0 100 300.00
132 0 164(q) 152(100 ?q) 0 100 280.00
(cont.)
543
Table A.176 continued.
No. Route Load Distance
133 0 189(q) 177(100 ?q) 0 100 320.00
134 0 177(50)153(50) 0 100 300.00
135 0 165(q) 153(100 ?q) 0 100 279.99
136 0 190(q) 178(100 ?q) 0 100 320.00
137 0 178(50)154(50) 0 100 300.00
138 0 166(q) 154(100 ?q) 0 100 280.00
139 0 191(q) 179(100 ?q) 0 100 320.01
140 0 179(50)155(50) 0 100 300.01
141 0 167(q) 155(100 ?q) 0 100 279.99
142 0 192(q) 180(100 ?q) 0 100 320.00
143 0 180(50)156(50) 0 100 300.00
144 0 168(q) 156(100 ?q) 0 100 280.00
145 0 229(q) 217(100 ?q) 0 100 400.00
146 0 217(50)193(50) 0 100 380.00
147 0 205(q) 193(100 ?q) 0 100 360.00
148 0 230(q) 218(100 ?q) 0 100 400.01
149 0 218(50)194(50) 0 100 380.01
150 0 206(q) 194(100 ?q) 0 100 360.01
151 0 231(q) 219(100 ?q) 0 100 400.00
152 0 219(50)195(50) 0 100 380.00
153 0 207(q) 195(100 ?q) 0 100 359.99
154 0 232(q) 220(100 ?q) 0 100 400.00
155 0 220(50)196(50) 0 100 380.00
156 0 208(q) 196(100 ?q) 0 100 360.00
157 0 233(q) 221(100 ?q) 0 100 400.00
158 0 221(50)197(50) 0 100 380.00
159 0 209(q) 197(100 ?q) 0 100 360.00
160 0 234(q) 222(100 ?q) 0 100 400.00
161 0 222(50)198(50) 0 100 380.00
162 0 210(q) 198(100 ?q) 0 100 360.00
163 0 235(q) 223(100 ?q) 0 100 400.00
164 0 223(50)199(50) 0 100 380.00
165 0 211(q) 199(100 ?q) 0 100 360.00
(cont.)
544
Table A.176 continued.
No. Route Load Distance
166 0 236(q) 224(100 ?q) 0 100 400.01
167 0 224(50)200(50) 0 100 380.01
168 0 212(q) 200(100 ?q) 0 100 359.99
169 0 237(q) 225(100 ?q) 0 100 399.99
170 0 225(50)201(50) 0 100 379.99
171 0 213(q) 201(100 ?q) 0 100 359.99
172 0 238(q) 226(100 ?q) 0 100 400.00
173 0 226(50)202(50) 0 100 380.00
174 0 214(q) 202(100 ?q) 0 100 360.00
175 0 239(q) 227(100 ?q) 0 100 400.00
176 0 227(50)203(50) 0 100 380.00
177 0 215(q) 203(100 ?q) 0 100 360.01
178 0 240(q) 228(100 ?q) 0 100 400.00
179 0 228(50)204(50) 0 100 380.00
180 0 216(q) 204(100 ?q) 0 100 360.00
Total Distance 39484.21
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
545
Table A.177: Estimated solutions for MDA21.
No. Route Load Distance
1 0 1(50)2(50) 0 100 20.87
2 0 145(50)146(50) 0 100 62.62
3 0 73(q) 1(100 ?q) 0 100 40.00
4 0 74(q) 2(100 ?q) 0 100 39.99
5 0 217(q) 145(100 ?q) 0 100 80.00
6 0 218(q) 146(100 ?q) 0 100 80.01
7 0 3(50)4(50) 0 100 20.87
8 0 147(50)148(50) 0 100 62.61
9 0 75(q) 3(100 ?q) 0 100 40.01
10 0 76(q) 4(100 ?q) 0 100 40.00
11 0 219(q) 147(100 ?q) 0 100 80.00
12 0 220(q) 148(100 ?q) 0 100 80.00
13 0 5(50)6(50) 0 100 20.88
14 0 149(50)150(50) 0 100 62.62
15 0 77(q) 5(100 ?q) 0 100 39.99
16 0 78(q) 6(100 ?q) 0 100 40.00
17 0 221(q) 149(100 ?q) 0 100 80.00
18 0 222(q) 150(100 ?q) 0 100 79.99
19 0 7(50)8(50) 0 100 20.88
20 0 151(50)152(50) 0 100 62.62
21 0 79(q) 7(100 ?q) 0 100 40.00
22 0 80(q) 8(100 ?q) 0 100 39.99
23 0 223(q) 151(100 ?q) 0 100 80.00
24 0 224(q) 152(100 ?q) 0 100 80.00
25 0 9(50)10(50) 0 100 20.87
26 0 153(50)154(50) 0 100 62.61
27 0 81(q) 9(100 ?q) 0 100 40.00
28 0 82(q) 10(100 ?q) 0 100 39.99
29 0 225(q) 153(100 ?q) 0 100 80.00
30 0 226(q) 154(100 ?q) 0 100 79.99
31 0 11(50)12(50) 0 100 20.87
32 0 155(50)156(50) 0 100 62.60
33 0 83(q) 11(100 ?q) 0 100 40.00
(cont.)
546
Table A.177 continued.
No. Route Load Distance
34 0 84(q) 12(100 ?q) 0 100 39.99
35 0 227(q) 155(100 ?q) 0 100 80.00
36 0 228(q) 156(100 ?q) 0 100 80.00
37 0 13(50)14(50) 0 100 20.87
38 0 157(50)158(50) 0 100 62.62
39 0 85(q) 13(100 ?q) 0 100 40.00
40 0 86(q) 14(100 ?q) 0 100 40.00
41 0 229(q) 157(100 ?q) 0 100 80.00
42 0 230(q) 158(100 ?q) 0 100 80.00
43 0 15(50)16(50) 0 100 20.87
44 0 159(50)160(50) 0 100 62.61
45 0 87(q) 15(100 ?q) 0 100 39.99
46 0 88(q) 16(100 ?q) 0 100 40.00
47 0 231(q) 159(100 ?q) 0 100 80.00
48 0 232(q) 160(100 ?q) 0 100 80.00
49 0 17(50)18(50) 0 100 20.88
50 0 161(50)162(50) 0 100 62.61
51 0 89(q) 17(100 ?q) 0 100 40.01
52 0 90(q) 18(100 ?q) 0 100 39.99
53 0 233(q) 161(100 ?q) 0 100 80.00
54 0 234(q) 162(100 ?q) 0 100 80.01
55 0 19(50)20(50) 0 100 20.87
56 0 163(50)164(50) 0 100 62.62
57 0 91(q) 19(100 ?q) 0 100 40.00
58 0 92(q) 20(100 ?q) 0 100 39.99
59 0 235(q) 163(100 ?q) 0 100 80.00
60 0 236(q) 164(100 ?q) 0 100 80.00
61 0 21(50)22(50) 0 100 20.87
62 0 165(50)166(50) 0 100 62.61
63 0 93(q) 21(100 ?q) 0 100 40.01
64 0 94(q) 22(100 ?q) 0 100 40.00
65 0 237(q) 165(100 ?q) 0 100 79.99
66 0 238(q) 166(100 ?q) 0 100 80.00
(cont.)
547
Table A.177 continued.
No. Route Load Distance
67 0 23(50)24(50) 0 100 20.88
68 0 167(50)168(50) 0 100 62.62
69 0 95(q) 23(100 ?q) 0 100 39.99
70 0 96(q) 24(100 ?q) 0 100 40.00
71 0 239(q) 167(100 ?q) 0 100 80.00
72 0 240(q) 168(100 ?q) 0 100 79.99
73 0 25(50)26(50) 0 100 20.88
74 0 169(50)170(50) 0 100 62.62
75 0 97(q) 25(100 ?q) 0 100 40.00
76 0 98(q) 26(100 ?q) 0 100 39.99
77 0 241(q) 169(100 ?q) 0 100 80.00
78 0 242(q) 170(100 ?q) 0 100 80.00
79 0 27(50)28(50) 0 100 20.87
80 0 171(50)172(50) 0 100 62.61
81 0 99(q) 27(100 ?q) 0 100 39.99
82 0 100(q) 28(100 ?q) 0 100 39.99
83 0 243(q) 171(100 ?q) 0 100 80.00
84 0 244(q) 172(100 ?q) 0 100 80.00
85 0 29(50)30(50) 0 100 20.87
86 0 173(50)174(50) 0 100 62.62
87 0 101(q) 29(100 ?q) 0 100 40.00
88 0 102(q) 30(100 ?q) 0 100 39.99
89 0 245(q) 173(100 ?q) 0 100 80.00
90 0 246(q) 174(100 ?q) 0 100 80.00
91 0 31(50)32(50) 0 100 20.87
92 0 175(50)176(50) 0 100 62.62
93 0 103(q) 31(100 ?q) 0 100 40.00
94 0 104(q) 32(100 ?q) 0 100 40.00
95 0 247(q) 175(100 ?q) 0 100 80.00
96 0 248(q) 176(100 ?q) 0 100 80.00
97 0 33(50)34(50) 0 100 20.87
98 0 177(50)178(50) 0 100 62.61
99 0 105(q) 33(100 ?q) 0 100 39.99
(cont.)
548
Table A.177 continued.
No. Route Load Distance
100 0 106(q) 34(100 ?q) 0 100 40.00
101 0 249(q) 177(100 ?q) 0 100 80.00
102 0 250(q) 178(100 ?q) 0 100 80.01
103 0 35(50)36(50) 0 100 20.88
104 0 179(50)180(50) 0 100 62.61
105 0 107(q) 35(100 ?q) 0 100 40.01
106 0 108(q) 36(100 ?q) 0 100 39.99
107 0 251(q) 179(100 ?q) 0 100 80.00
108 0 252(q) 180(100 ?q) 0 100 80.01
109 0 37(50)38(50) 0 100 20.87
110 0 181(50)182(50) 0 100 62.62
111 0 109(q) 37(100 ?q) 0 100 40.00
112 0 110(q) 38(100 ?q) 0 100 39.99
113 0 253(q) 181(100 ?q) 0 100 80.00
114 0 254(q) 182(100 ?q) 0 100 80.00
115 0 39(50)40(50) 0 100 20.87
116 0 183(50)184(50) 0 100 62.61
117 0 111(q) 39(100 ?q) 0 100 40.01
118 0 112(q) 40(100 ?q) 0 100 40.00
119 0 255(q) 183(100 ?q) 0 100 79.99
120 0 256(q) 184(100 ?q) 0 100 80.00
121 0 41(50)42(50) 0 100 20.88
122 0 185(50)186(50) 0 100 62.62
123 0 113(q) 41(100 ?q) 0 100 39.99
124 0 114(q) 42(100 ?q) 0 100 40.00
125 0 257(q) 185(100 ?q) 0 100 80.00
126 0 258(q) 186(100 ?q) 0 100 79.99
127 0 43(50)44(50) 0 100 20.86
128 0 187(50)188(50) 0 100 62.61
129 0 115(q) 43(100 ?q) 0 100 40.00
130 0 116(q) 44(100 ?q) 0 100 39.99
131 0 259(q) 187(100 ?q) 0 100 80.00
132 0 260(q) 188(100 ?q) 0 100 80.00
(cont.)
549
Table A.177 continued.
No. Route Load Distance
133 0 45(50)46(50) 0 100 20.87
134 0 189(50)190(50) 0 100 62.61
135 0 117(q) 45(100 ?q) 0 100 39.99
136 0 118(q) 46(100 ?q) 0 100 39.99
137 0 261(q) 189(100 ?q) 0 100 80.00
138 0 262(q) 190(100 ?q) 0 100 80.00
139 0 47(50)48(50) 0 100 20.87
140 0 191(50)192(50) 0 100 62.62
141 0 119(q) 47(100 ?q) 0 100 40.00
142 0 120(q) 48(100 ?q) 0 100 39.99
143 0 263(q) 191(100 ?q) 0 100 80.01
144 0 264(q) 192(100 ?q) 0 100 80.00
145 0 49(50)50(50) 0 100 20.87
146 0 193(50)194(50) 0 100 62.62
147 0 121(q) 49(100 ?q) 0 100 40.00
148 0 122(q) 50(100 ?q) 0 100 40.00
149 0 265(q) 193(100 ?q) 0 100 80.00
150 0 266(q) 194(100 ?q) 0 100 80.00
151 0 51(50)52(50) 0 100 20.87
152 0 195(50)196(50) 0 100 62.61
153 0 123(q) 51(100 ?q) 0 100 39.99
154 0 124(q) 52(100 ?q) 0 100 40.00
155 0 267(q) 195(100 ?q) 0 100 80.01
156 0 268(q) 196(100 ?q) 0 100 80.01
157 0 53(50)54(50) 0 100 20.88
158 0 197(50)198(50) 0 100 62.61
159 0 125(q) 53(100 ?q) 0 100 40.01
160 0 126(q) 54(100 ?q) 0 100 39.99
161 0 269(q) 197(100 ?q) 0 100 80.00
162 0 270(q) 198(100 ?q) 0 100 80.01
163 0 55(50)56(50) 0 100 20.87
164 0 199(50)200(50) 0 100 62.62
165 0 127(q) 55(100 ?q) 0 100 40.00
(cont.)
550
Table A.177 continued.
No. Route Load Distance
166 0 128(q) 56(100 ?q) 0 100 39.99
167 0 271(q) 199(100 ?q) 0 100 80.00
168 0 272(q) 200(100 ?q) 0 100 80.00
169 0 57(50)58(50) 0 100 20.87
170 0 201(50)202(50) 0 100 62.61
171 0 129(q) 57(100 ?q) 0 100 40.01
172 0 130(q) 58(100 ?q) 0 100 40.00
173 0 273(q) 201(100 ?q) 0 100 79.99
174 0 274(q) 202(100 ?q) 0 100 80.00
175 0 59(50)60(50) 0 100 20.87
176 0 203(50)204(50) 0 100 62.61
177 0 131(q) 59(100 ?q) 0 100 39.99
178 0 132(q) 60(100 ?q) 0 100 40.00
179 0 275(q) 203(100 ?q) 0 100 80.00
180 0 276(q) 204(100 ?q) 0 100 79.99
181 0 61(50)62(50) 0 100 20.86
182 0 205(50)206(50) 0 100 62.61
183 0 133(q) 61(100 ?q) 0 100 40.00
184 0 134(q) 62(100 ?q) 0 100 39.99
185 0 277(q) 205(100 ?q) 0 100 79.99
186 0 278(q) 206(100 ?q) 0 100 80.00
187 0 63(50)64(50) 0 100 20.87
188 0 207(50)208(50) 0 100 62.61
189 0 135(q) 63(100 ?q) 0 100 39.99
190 0 136(q) 64(100 ?q) 0 100 39.99
191 0 279(q) 207(100 ?q) 0 100 80.01
192 0 280(q) 208(100 ?q) 0 100 80.00
193 0 65(50)66(50) 0 100 20.87
194 0 209(50)210(50) 0 100 62.62
195 0 137(q) 65(100 ?q) 0 100 40.00
196 0 138(q) 66(100 ?q) 0 100 39.99
197 0 281(q) 209(100 ?q) 0 100 80.01
198 0 282(q) 210(100 ?q) 0 100 80.00
(cont.)
551
Table A.177 continued.
No. Route Load Distance
199 0 67(50)68(50) 0 100 20.87
200 0 211(50)212(50) 0 100 62.62
201 0 139(q) 67(100 ?q) 0 100 40.00
202 0 140(q) 68(100 ?q) 0 100 40.00
203 0 283(q) 211(100 ?q) 0 100 80.01
204 0 284(q) 212(100 ?q) 0 100 80.00
205 0 69(50)70(50) 0 100 20.87
206 0 213(50)214(50) 0 100 62.63
207 0 141(q) 69(100 ?q) 0 100 39.99
208 0 142(q) 70(100 ?q) 0 100 40.00
209 0 285(q) 213(100 ?q) 0 100 80.01
210 0 286(q) 214(100 ?q) 0 100 80.01
211 0 71(50)72(50) 0 100 20.88
212 0 215(50)216(50) 0 100 62.61
213 0 143(q) 71(100 ?q) 0 100 40.01
214 0 144(q) 72(100 ?q) 0 100 39.99
215 0 287(q) 215(100 ?q) 0 100 80.00
216 0 288(q) 216(100 ?q) 0 100 80.01
Total Distance 11645.47
Note: q = 94,87,78,66 for p = .1,.2,.3,.4, respectively.
552
Table A.178: EMIP-MDA+ERTR solution to S51D2 with p = .1, .2, .3, .4.
No. Route Load Distance
1 0 8(22) 26(18) 31(37) 28(23) 22(18) 1(33) 0 151 76.62
2 0 32(23) 20(21) 35(45) 36(22) 3(46) 0 157 90.27
3 0 11(46) 16(18) 50(20) 9(24) 49(47) 0 155 61.39
4 0 46(19) 0 19 4.47
5 0 13(37) 41(36) 40(20) 19(32) 42(18) 12(17) 0 160 102.07
6 0 24(23) 43(43) 7(47) 23(20) 48(19) 0 152 80.58
7 0 27(24) 6(21) 14(19) 25(43) 18(18) 47(33) 0 158 62.43
8 0 38(18) 30(18) 34(18) 21(47) 29(33) 2(23) 0 157 84.13
9 0 45(43) 33(19) 39(47) 10(20) 5(21) 0 150 90.60
10 0 4(28) 17(45) 44(17) 15(41) 37(25) 0 156 64.77
Total Distance 717.34
Note: the solution was the same for the four values of p.
553
Table A.179: EMIP-MDA+ERTR solution to S51D3 with p = .1, .2, .3.
No. Route Load Distance
1 0 5(20) 49(51) 38(57) 0 128 45.82
2 0 46(79) 47(76) 0 155 21.57
3 0 6(31) 43(68) 7(31) 23(18) 0 148 74.89
4 0 48(53) 26(52) 8(51) 0 156 58.20
5 0 27(21) 31(32) 28(78) 1(20) 0 151 66.51
6 0 9(20) 30(26) 39(56) 10(56) 0 158 81.93
7 0 24(70) 25(14) 14(74) 0 158 63.61
8 0 25(9) 13(20) 41(37) 40(69) 19(25) 0 160 100.29
9 0 22(72) 32(79) 0 151 42.51
10 0 33(28) 45(43) 15(29) 37(32) 12(25) 0 157 73.03
11 0 18(79) 4(71) 0 150 39.59
12 0 11(31) 16(32) 50(78) 0 141 53.87
13 0 35(43) 36(76) 3(30) 0 149 90.13
14 0 34(33) 21(21) 29(25) 20(54) 2(27) 0 160 91.16
15 0 17(20) 42(72) 44(61) 0 153 66.88
Total Distance 969.99
Note: the solution was the same for the three values of p.
554
Table A.180: EMIP-MDA+ERTR solution to S51D4 with p = .1.
No. Route Load Distance
1 0 22(14) 36(141) 0 155 88.93
2 0 4(143) 47(17) 0 160 34.45
3 0 27(58) 1(43) 0 101 29.95
4 0 8(131) 48(29) 0 160 47.05
5 0 10(65) 49(35) 38(60) 0 160 59.36
6 0 10(57) 39(100) 0 157 76.61
7 0 9(23) 34(92) 50(43) 0 158 64.66
8 0 12(94) 46(52) 0 146 17.37
9 0 17(45) 42(63) 19(32) 47(20) 0 160 72.03
10 0 6(70) 14(90) 0 160 39.81
11 0 38(17) 30(108) 49(35) 0 160 62.76
12 0 29(118) 11(30) 0 148 58.63
13 0 13(25) 40(127) 19(8) 0 160 90.69
14 0 41(136) 47(23) 0 159 61.13
15 0 20(45) 35(84) 3(25) 0 154 82.13
16 0 2(43) 21(69) 16(42) 0 154 67.86
17 0 23(48) 24(93) 6(19) 0 160 56.79
18 0 14(49) 25(94) 0 143 47.60
19 0 26(124) 48(36) 0 160 57.12
20 0 28(127) 22(33) 0 160 60.83
21 0 43(117) 7(27) 48(16) 0 160 73.82
22 0 32(142) 0 142 20.00
23 0 15(24) 33(136) 0 160 70.40
24 0 22(90) 31(70) 0 160 63.64
25 0 47(71) 37(89) 0 160 39.75
26 0 5(35) 45(112) 15(10) 0 157 65.61
27 0 37(54) 44(106) 0 160 50.39
28 0 18(143) 0 143 29.53
Total Distance 1588.91
555
Table A.181: EMIP-MDA+ERTR solution to S51D5 with p = .1.
No. Route Load Distance
1 0 50(106) 9(53) 0 159 54.92
2 0 23(52) 24(93) 6(15) 0 160 56.79
3 0 17(40) 42(111) 47(9) 0 160 63.38
4 0 4(108) 47(52) 0 160 34.45
5 0 38(104) 11(53) 0 157 34.56
6 0 2(47) 29(60) 16(53) 0 160 61.32
7 0 40(79) 19(52) 17(22) 0 153 87.30
8 0 37(49) 44(51) 15(19) 5(41) 0 160 60.18
9 0 25(45) 13(59) 41(55) 0 159 76.15
10 0 12(78) 0 78 16.12
11 0 6(48) 43(58) 7(54) 0 160 73.21
12 0 21(64) 34(91) 0 155 72.90
13 0 3(56) 20(69) 2(22) 0 147 73.43
14 0 6(31) 14(111) 25(18) 0 160 51.19
15 0 15(33) 45(66) 33(56) 0 155 72.45
16 0 48(71) 1(59) 32(30) 0 160 44.26
17 0 10(35) 39(55) 30(70) 0 160 81.23
18 0 18(99) 27(52) 0 151 42.61
19 0 32(81) 22(78) 0 159 42.51
20 0 46(111) 0 111 4.47
21 0 28(108) 31(52) 0 160 66.12
22 0 35(54) 36(100) 0 154 89.42
23 0 5(8) 10(74) 49(78) 0 160 57.60
24 0 26(51) 8(96) 0 147 57.39
Total Distance 1373.98
556
Table A.182: EMIP-MDA+ERTR solution to S51D6 with p = .1.
No. Route Load Distance
1 0 11(50) 1(100) 0 150 38.02
2 0 11(65) 2(95) 0 160 43.70
3 0 20(102) 3(58) 0 160 72.82
4 0 47(30) 4(125) 0 155 34.45
5 0 5(116) 0 116 28.28
6 0 27(24) 6(130) 0 154 28.46
7 0 7(114) 48(46) 0 160 53.54
8 0 27(20) 8(140) 0 160 44.06
9 0 39(133) 9(27) 0 160 80.69
10 0 33(142) 0 142 68.00
11 0 47(110) 12(50) 0 160 23.50
12 0 25(85) 14(73) 0 158 47.60
13 0 42(60) 15(100) 0 160 72.22
14 0 38(70) 16(83) 0 153 47.05
15 0 12(41) 17(119) 0 160 35.17
16 0 18(143) 0 143 29.53
17 0 42(63) 19(97) 0 160 71.77
18 0 20(17) 35(129) 0 146 78.93
19 0 16(35) 21(125) 0 160 64.14
20 0 22(142) 1(18) 0 160 41.77
21 0 14(40) 23(120) 0 160 55.66
22 0 14(29) 24(131) 0 160 53.94
23 0 13(114) 25(46) 0 160 65.39
24 0 26(139) 0 139 56.32
25 0 3(56) 28(104) 0 160 72.01
26 0 2(23) 29(137) 0 160 59.20
27 0 9(15) 30(135) 0 150 62.44
28 0 28(35) 31(125) 0 160 66.12
29 0 32(143) 0 143 20.00
30 0 34(131) 9(29) 0 160 63.87
31 0 36(143) 0 143 87.86
32 0 12(40) 37(120) 0 160 36.22
33 0 49(103) 38(57) 0 160 45.06
(cont.)
557
Table A.182 continued.
No. Route Load Distance
34 0 4(18) 41(142) 0 160 61.14
35 0 19(21) 40(139) 0 160 84.74
36 0 43(137) 0 137 69.31
37 0 15(16) 45(136) 0 152 62.77
38 0 46(121) 0 121 4.47
39 0 37(23) 44(134) 0 157 50.39
40 0 27(78) 48(82) 0 160 32.41
41 0 10(138) 49(22) 0 160 57.57
42 0 9(42) 50(118) 0 160 54.92
Total Distance 2225.51
558
Table A.183: EMIP-MDA+ERTR solution to S76D2 with p = .1.
No. Route Load Distance
1 0 17(22) 3(11) 44(41) 32(29) 40(37) 26(20) 0 160 54.53
2 0 54(16) 19(47) 59(20) 14(18) 53(23) 7(34) 0 158 93.88
3 0 34(46) 46(40) 8(18) 35(35) 67(18) 0 157 40.43
4 0 13(35) 57(20) 15(46) 5(16) 29(43) 0 160 68.56
5 0 6(20) 1(44) 43(27) 63(19) 16(20) 51(23) 0 153 69.58
6 0 68(28) 2(22) 62(40) 73(23) 33(47) 0 160 50.95
7 0 3(11) 24(24) 49(32) 56(47) 23(46) 0 160 92.39
8 0 12(6) 9(44) 25(35) 55(21) 18(23) 50(29) 0 158 93.36
9 0 52(47) 27(43) 45(38) 4(18) 75(14) 0 160 40.12
10 0 74(40) 28(26) 61(16) 21(23) 48(13) 30(41) 0 159 77.42
11 0 48(31) 47(25) 36(33) 37(47) 5(24) 0 160 73.22
12 0 26(15) 58(29) 10(17) 31(39) 39(31) 72(16) 12(13) 0 160 81.69
13 0 41(43) 42(46) 64(38) 22(29) 75(4) 0 160 93.86
14 0 69(22) 71(18) 60(45) 70(46) 20(22) 5(7) 0 160 99.52
15 0 53(3) 11(42) 66(47) 65(19) 38(47) 0 158 77.16
Total Distance 1106.68
559
Table A.184: EMIP-MDA+ERTR solution to S76D3 with p = .1.
No. Route Load Distance
1 0 49(46) 24(61) 44(19) 3(24) 0 150 72.66
2 0 28(76) 74(32) 30(38) 0 146 51.94
3 0 9(21) 39(23) 72(57) 58(59) 0 160 57.72
4 0 6(52) 33(8) 1(27) 63(52) 16(21) 0 160 59.63
5 0 51(33) 17(30) 40(47) 12(46) 0 156 41.34
6 0 8(64) 19(20) 53(59) 26(17) 0 160 58.72
7 0 2(37) 62(51) 73(58) 6(10) 0 156 48.93
8 0 27(20) 13(12) 54(67) 52(61) 0 160 58.52
9 0 13(15) 57(70) 15(20) 29(21) 45(34) 0 160 64.16
10 0 22(46) 61(78) 21(32) 0 156 80.55
11 0 75(75) 68(68) 0 143 14.75
12 0 4(76) 67(61) 0 137 19.46
13 0 35(22) 14(79) 59(45) 7(10) 0 156 77.11
14 0 46(79) 34(59) 0 138 23.42
15 0 23(20) 56(75) 41(23) 43(26) 33(16) 0 160 83.63
16 0 18(67) 55(38) 25(31) 31(20) 0 156 113.69
17 0 10(77) 38(72) 26(2) 0 151 59.96
18 0 64(77) 42(79) 0 156 88.08
19 0 29(7) 20(37) 70(37) 60(79) 0 160 90.62
20 0 32(79) 50(74) 0 153 59.50
21 0 48(39) 47(29) 36(68) 5(17) 0 153 68.39
22 0 65(79) 66(44) 11(21) 7(12) 0 156 76.14
23 0 37(17) 71(69) 69(73) 0 159 88.48
Total Distance 1457.40
560
Table A.185: EMIP-MDA+ERTR solution to S76D4 with p = .1.
No. Route Load Distance
1 0 17(135) 26(24) 0 159 22.39
2 0 3(139) 44(20) 0 159 43.26
3 0 37(21) 71(139) 0 160 81.89
4 0 74(35) 61(121) 0 156 68.79
5 0 2(46) 28(47) 62(60) 0 153 53.37
6 0 4(23) 29(19) 15(118) 0 160 55.87
7 0 39(143) 12(17) 0 160 44.74
8 0 10(33) 38(25) 66(72) 53(30) 0 160 82.47
9 0 65(105) 58(49) 0 154 65.76
10 0 47(29) 36(42) 69(89) 0 160 77.90
11 0 68(138) 0 138 14.56
12 0 49(141) 16(19) 0 160 56.71
13 0 35(30) 14(29) 59(101) 0 160 76.98
14 0 53(19) 11(138) 0 157 59.83
15 0 16(6) 23(35) 56(73) 24(44) 0 158 89.22
16 0 22(25) 64(121) 42(14) 0 160 89.08
17 0 42(13) 41(96) 63(42) 0 151 77.94
18 0 72(143) 12(5) 0 148 41.70
19 0 40(33) 25(124) 0 157 66.49
20 0 7(143) 0 143 28.28
21 0 6(39) 63(89) 51(32) 0 160 46.59
22 0 53(94) 35(66) 0 160 47.70
23 0 29(34) 45(126) 0 160 37.05
24 0 34(7) 46(31) 52(49) 27(31) 4(42) 0 160 38.48
25 0 9(42) 55(55) 18(26) 50(35) 0 158 92.73
26 0 43(126) 33(31) 0 157 63.84
27 0 74(68) 47(57) 48(28) 30(7) 0 160 58.89
28 0 34(17) 54(41) 13(102) 0 160 57.40
29 0 29(31) 5(31) 60(98) 0 160 86.77
30 0 75(124) 0 124 6.00
31 0 21(143) 30(17) 0 160 54.65
32 0 20(37) 70(87) 37(31) 5(5) 0 160 84.06
33 0 67(143) 0 143 10.77
(cont.)
561
Table A.185 continued.
No. Route Load Distance
34 0 57(135) 27(19) 0 154 56.54
35 0 32(47) 9(9) 31(100) 0 156 84.24
36 0 73(74) 1(86) 0 160 51.46
37 0 35(37) 19(82) 8(41) 0 160 48.74
Total Distance 2123.16
Table A.186: EMIP-MDA+ERTR solution to S101D2 with p = .1.
No. Route Load Distance
1 0 89(18) 5(26) 84(32) 17(40) 61(21) 99(17) 0 154 66.25
2 0 87(23) 42(19) 43(47) 15(46) 57(23) 0 158 72.41
3 0 60(20) 83(23) 45(32) 46(35) 8(23) 18(19) 0 152 76.79
4 0 6(18) 94(47) 13(30) 58(46) 0 141 33.95
5 0 82(24) 48(47) 7(41) 52(42) 0 154 57.20
6 0 93(18) 85(18) 91(22) 100(43) 37(40) 97(18) 0 159 54.53
7 0 2(18) 41(36) 22(20) 74(32) 72(45) 0 151 63.25
8 0 47(45) 36(39) 49(28) 64(25) 63(22) 0 159 112.44
9 0 53(26) 40(44) 73(18) 21(45) 0 133 41.31
10 0 95(20) 92(25) 98(43) 59(28) 96(36) 0 152 43.67
11 0 27(18) 69(19) 1(38) 70(41) 31(31) 0 147 49.49
12 0 75(21) 56(33) 23(27) 67(17) 39(46) 4(16) 0 160 95.52
13 0 42(12) 14(18) 44(47) 38(28) 86(37) 16(18) 0 160 99.71
14 0 50(39) 33(44) 79(23) 3(31) 77(18) 0 155 56.57
15 0 76(47) 68(37) 80(43) 12(21) 0 148 46.59
16 0 19(39) 11(47) 62(47) 88(19) 0 152 72.71
17 0 28(27) 24(21) 29(47) 34(25) 78(20) 81(18) 0 158 89.43
18 0 10(18) 90(45) 32(33) 30(23) 51(40) 0 159 83.48
19 0 20(16) 66(46) 65(20) 71(18) 35(41) 9(18) 0 159 112.62
20 0 54(43) 55(34) 25(47) 4(8) 26(21) 0 153 70.22
Total Distance 1398.13
562
Table A.187: EMIP-MDA+ERTR solution to S101D3 with p = .1.
No. Route Load Distance
1 0 73(21) 74(66) 72(61) 0 148 50.23
2 0 6(27) 59(17) 97(74) 95(41) 0 159 41.26
3 0 54(75) 26(74) 0 149 46.03
4 0 4(29) 39(25) 67(20) 23(44) 56(22) 72(15) 0 155 93.30
5 0 32(75) 90(71) 10(13) 0 159 71.04
6 0 46(70) 8(33) 89(52) 0 155 71.79
7 0 18(77) 83(27) 60(48) 0 152 44.79
8 0 61(31) 86(77) 16(44) 0 152 70.97
9 0 6(18) 96(78) 94(64) 0 160 31.46
10 0 45(17) 17(79) 84(24) 5(37) 0 157 68.04
11 0 12(38) 80(35) 77(18) 28(68) 0 159 47.77
12 0 70(48) 30(59) 20(52) 0 159 64.79
13 0 27(38) 31(33) 88(50) 52(35) 0 156 43.02
14 0 55(20) 25(69) 24(60) 0 149 79.07
15 0 51(20) 66(24) 65(30) 71(21) 35(29) 34(36) 0 160 118.78
16 0 53(24) 58(59) 13(74) 0 157 26.83
17 0 85(40) 93(64) 99(48) 0 152 46.17
18 0 75(22) 22(79) 41(22) 2(33) 0 156 66.36
19 0 29(58) 78(76) 79(24) 0 158 71.48
20 0 76(60) 50(79) 1(21) 0 160 42.59
21 0 87(31) 42(11) 43(23) 15(60) 57(31) 0 156 72.41
22 0 48(57) 47(21) 36(79) 0 157 82.82
23 0 21(77) 40(78) 53(5) 0 160 36.28
24 0 19(52) 11(68) 62(34) 0 154 72.64
25 0 82(79) 7(75) 0 154 50.37
26 0 69(26) 9(60) 81(28) 33(45) 0 159 67.96
27 0 92(68) 37(33) 98(55) 0 156 43.89
28 0 91(29) 38(22) 14(69) 42(38) 0 158 88.71
29 0 3(79) 68(79) 0 158 49.82
30 0 59(3) 91(6) 44(71) 100(79) 0 159 64.12
31 0 49(24) 64(69) 63(20) 10(45) 0 158 106.06
Total Distance 1930.86
563
Table A.188: EMIP-MDA+ERTR solution to S101D5 with p = .1.
No. Route Load Distance
1 0 69(111) 27(45) 0 156 24.45
2 0 82(60) 48(85) 7(15) 0 160 57.20
3 0 97(99) 87(46) 13(15) 0 160 39.91
4 0 57(99) 15(61) 0 160 60.89
5 0 33(35) 79(71) 76(54) 0 160 56.07
6 0 52(8) 7(27) 19(57) 11(63) 0 155 73.01
7 0 6(55) 99(77) 96(26) 0 158 35.08
8 0 38(89) 86(63) 5(6) 0 158 92.36
9 0 50(96) 1(52) 0 148 38.53
10 0 28(110) 0 110 12.65
11 0 53(32) 58(91) 13(37) 0 160 26.83
12 0 73(91) 41(69) 0 160 59.18
13 0 77(91) 3(62) 0 153 44.89
14 0 25(55) 67(50) 23(50) 0 155 96.73
15 0 74(6) 75(99) 72(55) 0 160 56.06
16 0 21(53) 4(103) 0 156 53.03
17 0 22(104) 74(42) 73(14) 0 160 54.68
18 0 20(37) 66(67) 71(28) 51(28) 0 160 89.73
19 0 70(56) 31(35) 52(69) 0 160 49.47
20 0 2(59) 43(100) 0 159 70.62
21 0 29(57) 24(102) 0 159 66.90
22 0 47(11) 49(83) 64(61) 0 155 105.62
23 0 31(29) 10(65) 30(58) 27(8) 0 160 61.14
24 0 20(49) 32(111) 0 160 76.39
25 0 79(40) 34(65) 78(55) 0 160 72.25
26 0 65(111) 71(49) 0 160 99.89
27 0 47(52) 36(108) 0 160 82.82
28 0 42(104) 87(48) 0 152 51.09
29 0 84(52) 17(52) 60(51) 0 155 61.09
30 0 56(71) 39(88) 0 159 70.18
31 0 18(79) 89(77) 0 156 32.62
32 0 5(46) 61(106) 6(8) 0 160 52.82
33 0 12(57) 26(84) 0 141 33.25
(cont.)
564
Table A.188 continued.
No. Route Load Distance
34 0 46(111) 47(45) 0 156 79.67
35 0 50(14) 81(63) 51(83) 0 160 61.74
36 0 54(53) 55(107) 0 160 61.75
37 0 98(30) 37(64) 92(52) 95(14) 0 160 43.97
38 0 54(49) 80(53) 68(58) 0 160 54.24
39 0 10(23) 63(72) 90(64) 0 159 71.70
40 0 98(29) 85(50) 91(70) 97(11) 0 160 54.99
41 0 9(52) 35(75) 81(8) 33(25) 0 160 82.64
42 0 8(83) 45(75) 0 158 61.81
43 0 16(64) 44(93) 0 157 67.13
44 0 100(53) 14(106) 0 159 64.60
45 0 40(101) 53(59) 0 160 22.36
46 0 59(34) 93(98) 96(26) 0 158 41.07
47 0 88(52) 62(79) 7(21) 0 152 55.72
48 0 18(32) 83(109) 60(14) 0 155 44.79
49 0 94(62) 59(60) 95(38) 0 160 36.74
Total Distance 2862.34
565
Table A.189: EMIP-MDA+ERTR solution to S51D4 with p = .2.
No. Route Load Distance
1 0 23(48) 24(93) 6(19) 0 160 56.79
2 0 2(20) 29(118) 11(22) 0 160 59.59
3 0 48(61) 8(29) 31(70) 0 160 64.08
4 0 14(66) 25(94) 0 160 47.60
5 0 33(136) 15(24) 0 160 70.40
6 0 47(131) 0 131 18.87
7 0 46(52) 0 52 4.47
8 0 37(38) 15(10) 45(112) 0 160 63.35
9 0 2(23) 20(45) 35(84) 3(8) 0 160 82.74
10 0 1(20) 28(127) 0 147 60.01
11 0 14(73) 6(70) 0 143 39.81
12 0 16(42) 21(69) 50(43) 0 154 66.06
13 0 10(122) 5(35) 0 157 56.67
14 0 43(117) 7(27) 0 144 73.12
15 0 13(25) 40(127) 0 152 90.36
16 0 12(54) 37(105) 0 159 36.22
17 0 1(23) 22(137) 0 160 41.77
18 0 4(143) 0 143 34.41
19 0 17(45) 42(63) 19(40) 0 148 72.03
20 0 26(124) 48(20) 0 144 57.12
21 0 18(143) 0 143 29.53
22 0 30(42) 39(100) 49(18) 0 160 81.57
23 0 34(92) 30(66) 0 158 69.36
24 0 36(141) 3(17) 0 158 88.57
25 0 12(40) 44(106) 0 146 50.09
26 0 41(136) 0 136 60.96
27 0 8(102) 27(58) 0 160 44.06
28 0 32(142) 0 142 20.00
29 0 49(52) 9(23) 38(77) 11(8) 0 160 54.07
Total Distance 1593.69
566
Table A.190: EMIP-MDA+ERTR solution to S51D5 with p = .2.
No. Route Load Distance
1 0 14(50) 24(93) 23(17) 0 160 60.34
2 0 1(47) 32(111) 0 158 29.98
3 0 21(19) 34(91) 30(50) 0 160 78.70
4 0 49(78) 5(35) 12(47) 0 160 47.16
5 0 3(56) 20(69) 0 125 72.82
6 0 48(71) 27(52) 0 123 32.41
7 0 38(104) 11(53) 0 157 34.56
8 0 9(53) 50(106) 0 159 54.92
9 0 36(100) 35(54) 0 154 89.42
10 0 42(111) 17(18) 12(31) 0 160 63.55
11 0 15(52) 44(51) 37(49) 0 152 56.21
12 0 16(53) 21(45) 29(60) 0 158 68.40
13 0 47(61) 18(99) 0 160 32.26
14 0 26(51) 8(96) 0 147 57.39
15 0 19(52) 40(79) 41(29) 0 160 85.10
16 0 7(54) 43(58) 23(35) 0 147 73.52
17 0 5(14) 10(71) 39(55) 30(20) 0 160 81.27
18 0 28(108) 31(52) 0 160 66.12
19 0 25(63) 13(59) 41(26) 0 148 76.15
20 0 2(69) 22(78) 1(12) 0 159 52.62
21 0 10(38) 33(56) 45(66) 0 160 78.72
22 0 14(61) 6(94) 0 155 39.81
23 0 4(108) 17(44) 0 152 42.08
24 0 46(111) 0 111 4.47
Total Distance 1377.99
567
Table A.191: EMIP-MDA+ERTR solution to S51D6 with p = .2.
No. Route Load Distance
1 0 35(129) 36(29) 0 158 89.42
2 0 49(75) 10(85) 0 160 57.57
3 0 50(118) 16(26) 0 144 53.85
4 0 44(134) 0 134 50.00
5 0 36(114) 3(46) 0 160 88.57
6 0 27(122) 0 122 16.00
7 0 42(123) 40(37) 0 160 90.02
8 0 38(127) 12(29) 0 156 38.19
9 0 24(131) 6(26) 0 157 50.39
10 0 2(83) 29(77) 0 160 59.20
11 0 1(118) 0 118 27.78
12 0 46(121) 0 121 4.47
13 0 47(140) 0 140 18.87
14 0 45(136) 0 136 62.64
15 0 14(142) 0 142 36.22
16 0 9(113) 11(47) 0 160 47.93
17 0 18(143) 0 143 29.53
18 0 39(133) 49(25) 0 158 76.95
19 0 21(100) 29(60) 0 160 68.39
20 0 22(142) 0 142 41.62
21 0 8(105) 28(55) 0 160 64.99
22 0 20(119) 2(35) 0 154 65.52
23 0 16(92) 11(68) 0 160 44.06
24 0 26(139) 0 139 56.32
25 0 25(131) 0 131 46.17
26 0 37(102) 12(58) 0 160 36.22
27 0 30(135) 49(25) 0 160 62.55
28 0 32(143) 0 143 20.00
29 0 23(120) 6(40) 0 160 44.60
30 0 19(58) 40(102) 0 160 84.74
31 0 34(131) 21(25) 0 156 72.90
32 0 48(82) 6(64) 0 146 36.16
33 0 7(114) 48(46) 0 160 53.54
(cont.)
568
Table A.191 continued.
No. Route Load Distance
34 0 17(119) 37(41) 0 160 40.47
35 0 3(68) 28(84) 0 152 72.01
36 0 41(96) 19(60) 0 156 67.39
37 0 10(53) 33(101) 0 154 74.40
38 0 31(125) 8(35) 0 160 61.08
39 0 43(137) 0 137 69.31
40 0 13(114) 41(46) 0 160 69.07
41 0 5(116) 12(44) 0 160 31.42
42 0 4(143) 0 143 34.41
43 0 15(116) 33(41) 0 157 70.40
Total Distance 2285.37
Table A.192: EMIP-MDA+ERTR solution to S76D2 with p = .2, .3, and .4.
No. Route Load Distance
1 0 35(35) 14(18) 59(20) 53(26) 7(34) 26(18) 0 151 79.64
2 0 67(18) 46(40) 52(47) 34(46) 0 151 30.86
3 0 48(44) 29(43) 45(38) 4(18) 0 143 45.63
4 0 57(20) 15(46) 37(47) 5(47) 0 160 73.71
5 0 40(37) 32(29) 44(41) 3(22) 17(22) 0 151 50.89
6 0 11(42) 66(47) 65(19) 38(47) 0 155 75.64
7 0 12(8) 9(44) 25(35) 55(21) 18(23) 50(29) 0 160 93.36
8 0 1(44) 42(46) 64(38) 22(29) 0 157 89.10
9 0 75(18) 30(41) 0 59 28.72
10 0 20(22) 70(46) 60(45) 71(18) 47(25) 0 156 92.72
11 0 68(28) 2(22) 62(40) 73(23) 33(47) 0 160 50.95
12 0 6(20) 43(27) 41(43) 56(47) 63(19) 0 156 83.59
13 0 8(18) 19(47) 54(16) 13(35) 27(43) 0 159 63.07
14 0 26(17) 58(29) 10(17) 31(39) 39(31) 72(16) 12(11) 0 160 81.69
15 0 28(26) 61(16) 69(22) 36(33) 21(23) 74(40) 0 160 94.42
16 0 51(23) 16(20) 23(46) 49(32) 24(24) 0 145 82.65
Total Distance 1116.64
Note: the solution was the same for the three values of p.
569
Table A.193: EMIP-MDA+ERTR solution to S76D3 with p = .2.
No. Route Load Distance
1 0 26(19) 58(59) 72(57) 39(23) 0 158 52.48
2 0 8(64) 35(22) 53(59) 7(7) 0 152 50.56
3 0 38(72) 10(77) 0 149 59.93
4 0 12(46) 31(20) 55(38) 25(31) 9(21) 0 156 102.36
5 0 7(15) 14(79) 59(45) 19(20) 0 159 79.96
6 0 16(21) 49(46) 24(61) 3(24) 0 152 69.50
7 0 27(20) 13(12) 54(67) 52(61) 0 160 58.52
8 0 51(33) 6(49) 2(37) 30(38) 0 157 47.31
9 0 64(77) 42(79) 0 156 88.08
10 0 29(7) 20(37) 70(37) 60(79) 0 160 90.62
11 0 33(16) 43(26) 41(23) 56(75) 23(20) 0 160 83.63
12 0 40(47) 32(79) 17(30) 0 156 44.96
13 0 6(13) 33(8) 63(52) 1(27) 73(58) 0 158 58.15
14 0 65(79) 66(44) 11(21) 0 144 75.34
15 0 5(17) 36(68) 47(29) 48(39) 0 153 68.39
16 0 45(34) 29(21) 15(20) 57(70) 13(15) 0 160 64.16
17 0 44(19) 18(67) 50(74) 0 160 70.72
18 0 74(32) 28(76) 62(51) 0 159 55.17
19 0 68(68) 75(75) 0 143 14.75
20 0 34(59) 46(79) 0 138 23.42
21 0 21(32) 61(78) 22(46) 0 156 80.55
22 0 4(76) 67(61) 0 137 19.46
23 0 37(17) 71(69) 69(73) 0 159 88.48
Total Distance 1446.48
570
Table A.194: EMIP-MDA+ERTR solution to S76D4 with p = .2.
No. Route Load Distance
1 0 63(46) 41(96) 42(15) 0 157 77.94
2 0 3(139) 44(20) 0 159 43.26
3 0 6(39) 63(85) 51(32) 0 156 46.59
4 0 43(126) 33(31) 0 157 63.84
5 0 40(33) 25(53) 50(27) 32(47) 0 160 71.31
6 0 34(7) 46(31) 52(49) 27(50) 4(18) 0 155 38.48
7 0 35(37) 19(82) 8(41) 0 160 48.74
8 0 75(124) 0 124 6.00
9 0 65(105) 58(49) 0 154 65.76
10 0 12(17) 72(143) 0 160 41.70
11 0 45(126) 4(34) 0 160 28.28
12 0 29(63) 15(94) 0 157 55.84
13 0 49(141) 16(17) 0 158 56.71
14 0 29(21) 71(139) 0 160 80.40
15 0 39(143) 12(5) 0 148 44.74
16 0 20(37) 70(87) 5(36) 0 160 84.05
17 0 74(68) 21(92) 0 160 55.36
18 0 42(12) 64(121) 22(25) 0 158 89.08
19 0 24(44) 56(73) 23(35) 16(8) 0 160 89.22
20 0 7(143) 26(16) 0 159 30.07
21 0 62(60) 28(47) 2(46) 0 153 53.37
22 0 1(86) 73(74) 0 160 51.46
23 0 47(29) 36(42) 69(89) 0 160 77.90
24 0 13(102) 54(41) 34(17) 0 160 57.40
25 0 53(49) 11(108) 0 157 59.83
26 0 68(138) 4(13) 0 151 21.63
27 0 60(98) 37(52) 0 150 86.99
28 0 67(143) 0 143 10.77
29 0 48(28) 47(57) 21(51) 30(24) 0 160 60.62
30 0 35(66) 53(94) 0 160 47.70
31 0 15(24) 57(135) 0 159 59.62
32 0 50(8) 18(26) 55(55) 25(71) 0 160 92.18
33 0 9(51) 31(100) 26(8) 0 159 79.03
(cont.)
571
Table A.194 continued.
No. Route Load Distance
34 0 17(135) 0 135 16.12
35 0 10(33) 38(25) 66(72) 11(30) 0 160 81.10
36 0 61(121) 74(35) 0 156 68.79
37 0 35(30) 14(29) 59(101) 0 160 76.98
Total Distance 2118.86
Table A.195: EMIP-MDA+ERTR solution to S101D2 with p = .2.
No. Route Load Distance
1 0 50(39) 33(44) 81(18) 9(18) 51(40) 0 159 66.86
2 0 66(46) 65(20) 71(18) 35(41) 34(25) 76(10) 0 160 117.57
3 0 27(18) 69(19) 70(41) 1(38) 0 116 44.57
4 0 31(7) 62(47) 11(47) 19(39) 88(19) 0 159 74.65
5 0 87(23) 42(19) 43(47) 15(46) 57(23) 0 158 72.41
6 0 2(18) 41(36) 22(20) 74(32) 72(45) 0 151 63.25
7 0 58(46) 13(30) 94(47) 6(18) 0 141 33.95
8 0 42(12) 14(18) 44(47) 38(28) 86(37) 16(18) 0 160 99.71
9 0 89(18) 5(26) 84(32) 17(40) 61(21) 99(17) 0 154 66.25
10 0 77(18) 3(31) 79(23) 78(20) 29(47) 24(21) 0 160 79.30
11 0 97(18) 100(43) 91(22) 85(18) 93(18) 96(36) 0 155 54.24
12 0 63(22) 64(25) 49(28) 36(39) 47(45) 0 159 112.44
13 0 28(21) 76(37) 68(37) 80(43) 12(21) 0 159 46.70
14 0 82(24) 48(47) 7(41) 52(42) 0 154 57.20
15 0 26(21) 4(8) 25(47) 55(34) 54(43) 28(6) 0 159 71.63
16 0 59(28) 98(43) 37(40) 92(25) 95(20) 0 156 44.12
17 0 60(20) 83(23) 45(32) 46(35) 8(23) 18(19) 0 152 76.79
18 0 75(21) 56(33) 23(27) 67(17) 39(46) 4(16) 0 160 95.52
19 0 31(24) 10(18) 90(45) 32(33) 20(16) 30(23) 0 159 80.41
20 0 53(26) 40(44) 73(18) 21(45) 0 133 41.31
Total Distance 1398.87
572
Table A.196: EMIP-MDA+ERTR solution to S101D3 with p = .2.
No. Route Load Distance
1 0 85(10) 16(44) 44(71) 91(35) 0 160 67.44
2 0 50(79) 76(60) 0 139 38.01
3 0 48(57) 47(21) 36(79) 0 157 82.82
4 0 100(79) 14(69) 87(11) 0 159 66.23
5 0 28(68) 0 68 12.65
6 0 10(12) 90(71) 32(75) 0 158 71.04
7 0 51(20) 9(60) 81(28) 33(45) 0 153 66.84
8 0 13(74) 58(39) 53(29) 0 142 26.83
9 0 78(76) 34(36) 79(24) 77(18) 0 154 72.80
10 0 56(22) 39(25) 67(20) 25(69) 55(20) 0 156 95.31
11 0 49(24) 64(69) 63(20) 10(46) 0 159 106.06
12 0 82(79) 7(75) 0 154 50.37
13 0 68(79) 3(79) 0 158 49.82
14 0 89(14) 84(24) 17(79) 5(37) 0 154 61.22
15 0 6(45) 93(64) 85(30) 59(20) 0 159 46.42
16 0 73(21) 74(66) 75(22) 23(44) 0 153 72.74
17 0 40(78) 26(74) 0 152 29.43
18 0 72(76) 21(77) 0 153 44.97
19 0 8(33) 46(70) 45(17) 89(38) 0 158 75.68
20 0 58(20) 2(33) 41(22) 22(79) 0 154 61.49
21 0 98(55) 37(33) 92(68) 0 156 43.89
22 0 60(48) 83(27) 18(77) 0 152 44.79
23 0 52(35) 88(50) 31(33) 27(38) 0 156 43.02
24 0 61(31) 86(77) 38(22) 43(23) 0 153 100.82
25 0 69(26) 70(48) 30(59) 1(21) 0 154 52.44
26 0 94(27) 99(48) 96(78) 0 153 35.62
27 0 20(52) 66(24) 65(30) 71(21) 35(29) 0 156 112.21
28 0 94(37) 95(41) 97(74) 0 152 35.41
29 0 62(34) 11(68) 19(52) 0 154 72.64
30 0 12(38) 54(75) 4(29) 0 142 58.44
31 0 80(35) 24(60) 29(58) 0 153 67.22
32 0 87(20) 42(49) 15(60) 57(31) 0 160 65.29
Total Distance 1929.96
573
Table A.197: EMIP-MDA+ERTR solution to S101D5 with p = .2.
No. Route Load Distance
1 0 18(111) 52(43) 0 154 34.74
2 0 24(102) 29(57) 0 159 66.90
3 0 53(23) 40(46) 58(91) 0 160 24.36
4 0 89(77) 6(63) 0 140 25.28
5 0 25(55) 67(50) 23(50) 0 155 96.73
6 0 95(52) 97(56) 13(52) 0 160 35.45
7 0 54(53) 55(107) 0 160 61.75
8 0 88(52) 31(51) 1(52) 0 155 49.91
9 0 53(19) 26(84) 12(57) 0 160 34.61
10 0 69(111) 27(42) 0 153 24.45
11 0 2(59) 57(99) 0 158 47.03
12 0 56(71) 39(88) 0 159 70.18
13 0 43(100) 42(60) 0 160 68.73
14 0 60(14) 46(111) 48(33) 0 158 78.05
15 0 5(52) 17(52) 84(52) 0 156 61.03
16 0 72(31) 74(11) 22(104) 41(14) 0 160 61.90
17 0 42(44) 15(61) 41(55) 0 160 75.74
18 0 50(110) 77(50) 0 160 43.88
19 0 71(77) 35(28) 9(52) 0 157 87.82
20 0 79(111) 33(42) 0 153 55.97
21 0 27(11) 32(111) 70(18) 0 140 68.25
22 0 83(109) 60(51) 0 160 43.37
23 0 53(49) 28(110) 0 159 18.01
24 0 19(41) 36(108) 0 149 86.42
25 0 65(111) 35(47) 0 158 103.01
26 0 78(55) 34(65) 81(22) 33(18) 0 160 73.70
27 0 72(24) 75(99) 74(37) 0 160 56.06
28 0 11(63) 63(72) 10(24) 0 159 76.59
29 0 96(52) 99(77) 94(30) 0 159 35.62
30 0 54(49) 80(53) 68(58) 0 160 54.24
31 0 86(63) 38(89) 0 152 90.82
32 0 59(94) 92(34) 94(32) 0 160 38.49
33 0 85(50) 61(106) 0 156 52.99
(cont.)
574
Table A.197 continued.
No. Route Load Distance
34 0 92(18) 37(64) 91(70) 0 152 51.92
35 0 73(105) 40(55) 0 160 40.25
36 0 82(60) 7(63) 52(34) 0 157 50.37
37 0 21(53) 4(103) 0 156 53.03
38 0 98(59) 93(98) 0 157 44.67
39 0 51(111) 81(49) 0 160 61.72
40 0 77(41) 3(62) 76(54) 0 157 44.89
41 0 19(16) 49(83) 64(61) 0 160 103.30
42 0 48(52) 47(108) 0 160 68.41
43 0 14(106) 100(53) 0 159 64.60
44 0 16(64) 44(93) 0 157 67.13
45 0 90(64) 30(58) 70(38) 0 160 69.75
46 0 45(75) 8(83) 0 158 61.81
47 0 20(86) 66(67) 0 153 81.06
48 0 87(94) 97(54) 0 148 39.83
49 0 62(79) 10(64) 31(13) 0 156 57.35
Total Distance 2862.14
575
Table A.198: EMIP-MDA+ERTR solution to S51D4 with p = .3.
No. Route Load Distance
1 0 16(42) 21(69) 34(49) 0 160 72.91
2 0 13(25) 40(127) 0 152 90.36
3 0 45(112) 15(34) 0 146 62.77
4 0 3(12) 35(84) 20(45) 2(18) 0 159 82.74
5 0 23(32) 24(93) 6(35) 0 160 56.79
6 0 33(136) 0 136 68.00
7 0 47(131) 12(29) 0 160 23.50
8 0 18(143) 0 143 29.53
9 0 32(142) 0 142 20.00
10 0 49(70) 38(77) 11(13) 0 160 48.00
11 0 10(122) 5(35) 0 157 56.67
12 0 2(25) 29(118) 11(17) 0 160 59.59
13 0 14(139) 0 139 36.22
14 0 9(23) 30(34) 39(100) 0 157 81.90
15 0 23(16) 43(117) 7(27) 0 160 73.52
16 0 37(89) 12(65) 0 154 36.22
17 0 30(74) 34(43) 50(43) 0 160 70.15
18 0 41(136) 0 136 60.96
19 0 48(50) 8(40) 31(70) 0 160 64.08
20 0 1(30) 28(127) 0 157 60.01
21 0 36(141) 3(13) 0 154 88.57
22 0 4(143) 0 143 34.41
23 0 6(54) 25(94) 0 148 51.13
24 0 26(124) 48(31) 0 155 57.12
25 0 1(13) 22(137) 0 150 41.77
26 0 44(106) 37(54) 0 160 50.39
27 0 27(58) 8(91) 0 149 44.06
28 0 46(52) 0 52 4.47
29 0 17(45) 42(63) 19(40) 0 148 72.03
Total Distance 1597.89
576
Table A.199: EMIP-MDA+ERTR solution to S51D5 with p = .3.
No. Route Load Distance
1 0 26(51) 8(96) 0 147 57.39
2 0 48(71) 27(52) 0 123 32.41
3 0 14(50) 24(93) 23(16) 0 159 60.34
4 0 50(106) 16(53) 0 159 53.85
5 0 10(35) 39(55) 30(70) 0 160 81.23
6 0 17(19) 4(108) 0 127 42.08
7 0 23(36) 43(58) 7(54) 0 148 73.52
8 0 31(52) 28(108) 0 160 66.12
9 0 41(26) 40(79) 19(52) 0 157 85.10
10 0 22(24) 3(56) 20(69) 0 149 73.28
11 0 46(62) 12(78) 0 140 17.37
12 0 14(61) 6(94) 0 155 39.81
13 0 34(91) 9(53) 0 144 63.87
14 0 38(104) 11(53) 0 157 34.56
15 0 1(37) 22(54) 2(69) 0 160 52.62
16 0 17(43) 44(51) 15(16) 5(49) 0 159 60.59
17 0 41(29) 13(59) 25(63) 0 151 76.15
18 0 32(111) 46(49) 0 160 21.46
19 0 1(22) 29(60) 21(64) 0 146 74.54
20 0 42(111) 37(49) 0 160 65.71
21 0 47(61) 18(99) 0 160 32.26
22 0 10(74) 49(78) 0 152 57.57
23 0 15(36) 45(66) 33(56) 0 158 72.45
24 0 36(100) 35(54) 0 154 89.42
Total Distance 1383.71
577
Table A.200: EMIP-MDA+ERTR solution to S51D6 with p = .3.
No. Route Load Distance
1 0 1(118) 0 118 27.78
2 0 11(38) 2(118) 0 156 43.70
3 0 28(46) 3(114) 0 160 72.01
4 0 4(143) 0 143 34.41
5 0 14(70) 6(90) 0 160 39.81
6 0 26(46) 7(114) 0 160 65.76
7 0 8(140) 0 140 44.05
8 0 49(125) 9(34) 0 159 51.12
9 0 10(138) 0 138 56.64
10 0 38(83) 11(77) 0 160 34.56
11 0 12(131) 0 131 16.12
12 0 25(46) 13(114) 0 160 65.39
13 0 37(43) 15(116) 0 159 50.06
14 0 21(38) 16(118) 0 156 64.14
15 0 17(119) 0 119 34.53
16 0 18(143) 0 143 29.53
17 0 19(118) 42(42) 0 160 71.77
18 0 36(83) 35(41) 20(36) 0 160 89.54
19 0 22(142) 0 142 41.62
20 0 6(40) 23(120) 0 160 44.60
21 0 24(131) 0 131 50.12
22 0 14(72) 25(85) 0 157 47.60
23 0 31(67) 26(93) 0 160 68.04
24 0 27(122) 0 122 16.00
25 0 21(87) 29(65) 0 152 68.39
26 0 28(93) 31(58) 0 151 66.12
27 0 32(143) 0 143 20.00
28 0 33(142) 0 142 68.00
29 0 30(62) 34(89) 0 151 69.36
30 0 20(83) 29(72) 0 155 71.62
31 0 35(88) 36(60) 0 148 89.42
32 0 44(55) 37(100) 0 155 50.39
33 0 5(116) 38(44) 0 160 37.02
(cont.)
578
Table A.200 continued.
No. Route Load Distance
34 0 39(133) 0 133 76.58
35 0 40(139) 0 139 84.40
36 0 41(142) 0 142 60.96
37 0 43(137) 0 137 69.31
38 0 42(81) 44(79) 0 160 66.62
39 0 45(136) 0 136 62.64
40 0 46(121) 0 121 4.47
41 0 47(140) 0 140 18.87
42 0 48(128) 0 128 31.62
43 0 9(79) 30(73) 0 152 62.44
44 0 34(42) 50(118) 0 160 64.36
Total Distance 2301.51
579
Table A.201: EMIP-MDA+ERTR solution to S76D3 with p = .3.
No. Route Load Distance
1 0 7(15) 14(79) 59(45) 19(20) 0 159 79.96
2 0 20(37) 70(37) 60(79) 5(6) 0 159 90.60
3 0 21(32) 61(78) 22(46) 0 156 80.55
4 0 10(77) 38(72) 0 149 59.93
5 0 34(59) 46(79) 0 138 23.42
6 0 33(16) 43(26) 41(23) 56(75) 23(20) 0 160 83.63
7 0 48(39) 47(29) 36(68) 5(11) 29(10) 0 157 68.54
8 0 52(61) 54(67) 13(9) 27(20) 0 157 58.52
9 0 12(46) 31(20) 55(38) 25(31) 9(21) 0 156 102.36
10 0 65(79) 66(44) 11(21) 0 144 75.34
11 0 73(58) 1(27) 63(52) 33(8) 0 145 58.13
12 0 4(76) 30(38) 2(37) 0 151 37.85
13 0 42(79) 64(77) 0 156 88.08
14 0 75(75) 67(61) 0 136 15.46
15 0 68(68) 6(62) 17(30) 0 160 30.44
16 0 3(24) 24(61) 49(46) 16(21) 0 152 69.50
17 0 50(74) 18(67) 44(19) 0 160 70.72
18 0 69(73) 71(69) 37(17) 0 159 88.48
19 0 13(18) 57(70) 15(20) 29(18) 45(34) 0 160 64.16
20 0 51(33) 32(79) 40(47) 0 159 49.38
21 0 8(64) 35(22) 53(59) 7(7) 0 152 50.56
22 0 39(23) 72(57) 58(59) 26(19) 0 158 52.48
23 0 74(32) 28(76) 62(51) 0 159 55.17
Total Distance 1453.25
580
Table A.202: EMIP-MDA+ERTR solution to S76D4 with p = .3.
No. Route Load Distance
1 0 21(143) 0 143 54.59
2 0 62(60) 28(47) 2(46) 0 153 53.37
3 0 71(60) 60(98) 0 158 88.19
4 0 47(29) 36(42) 69(89) 0 160 77.90
5 0 75(124) 0 124 6.00
6 0 3(139) 44(20) 0 159 43.26
7 0 17(135) 0 135 16.12
8 0 35(133) 0 133 36.06
9 0 40(33) 25(80) 32(47) 0 160 67.53
10 0 10(33) 38(25) 66(72) 14(29) 0 159 88.28
11 0 57(93) 27(50) 0 143 56.54
12 0 68(138) 0 138 14.56
13 0 5(36) 70(87) 20(37) 0 160 84.05
14 0 1(86) 73(74) 0 160 51.46
15 0 7(143) 0 143 28.28
16 0 61(121) 30(24) 0 145 69.74
17 0 59(101) 54(41) 34(16) 0 158 88.64
18 0 8(41) 19(82) 46(31) 0 154 47.14
19 0 72(93) 39(63) 0 156 47.98
20 0 74(103) 47(57) 0 160 58.11
21 0 63(42) 41(96) 42(13) 0 151 77.94
22 0 49(141) 16(17) 0 158 56.71
23 0 13(102) 52(49) 34(8) 0 159 45.58
24 0 26(16) 11(138) 0 154 58.84
25 0 51(32) 63(89) 6(39) 0 160 46.59
26 0 48(28) 71(79) 37(52) 0 159 82.10
27 0 67(143) 0 143 10.77
28 0 29(84) 4(31) 0 115 36.91
29 0 22(25) 64(121) 42(14) 0 160 89.08
30 0 4(34) 45(126) 0 160 28.28
31 0 25(44) 55(55) 18(26) 50(35) 0 160 92.18
32 0 53(143) 0 143 45.34
33 0 16(8) 23(35) 56(73) 24(44) 0 160 89.22
(cont.)
581
Table A.202 continued.
No. Route Load Distance
34 0 58(49) 65(105) 0 154 65.76
35 0 57(42) 15(118) 0 160 59.62
36 0 26(8) 31(100) 72(50) 0 158 74.81
37 0 33(31) 43(126) 0 157 63.84
38 0 12(22) 39(80) 9(51) 0 153 50.10
Total Distance 2151.49
Table A.203: EMIP-MDA+ERTR solution to S101D2 with p = .3.
No. Route Load Distance
1 0 21(45) 73(18) 40(44) 53(26) 0 133 41.31
2 0 51(40) 9(18) 81(18) 33(44) 50(39) 0 159 66.86
3 0 75(21) 56(33) 23(27) 67(17) 39(46) 4(16) 0 160 95.52
4 0 82(24) 48(47) 7(41) 52(42) 0 154 57.20
5 0 54(43) 55(34) 25(47) 4(8) 26(21) 0 153 70.22
6 0 47(45) 36(39) 49(28) 64(25) 63(22) 0 159 112.44
7 0 72(45) 74(32) 22(20) 41(36) 2(18) 0 151 63.25
8 0 18(19) 8(23) 46(35) 45(32) 83(23) 60(20) 0 152 76.79
9 0 96(36) 93(18) 85(18) 91(22) 100(43) 97(18) 0 155 54.24
10 0 10(18) 90(45) 32(33) 20(16) 30(23) 69(19) 0 154 80.39
11 0 99(17) 61(21) 17(40) 84(32) 5(26) 89(18) 0 154 66.25
12 0 12(21) 80(43) 68(37) 76(47) 0 148 46.59
13 0 95(20) 92(25) 37(40) 98(43) 59(28) 0 156 44.12
14 0 58(46) 13(30) 94(47) 6(18) 0 141 33.95
15 0 88(19) 62(47) 11(47) 19(39) 0 152 72.71
16 0 16(18) 86(37) 38(28) 44(47) 14(18) 42(12) 0 160 99.71
17 0 28(27) 1(38) 70(41) 31(31) 27(18) 0 155 51.25
18 0 34(25) 35(41) 71(18) 65(20) 66(46) 0 150 117.36
19 0 87(23) 42(19) 43(47) 15(46) 57(23) 0 158 72.41
20 0 24(21) 29(47) 78(20) 79(23) 3(31) 77(18) 0 160 79.30
Total Distance 1401.85
582
Table A.204: EMIP-MDA+ERTR solution to S101D3 with p = .3.
No. Route Load Distance
1 0 95(41) 59(6) 93(64) 99(48) 0 159 42.19
2 0 43(23) 38(22) 86(77) 5(37) 0 159 102.22
3 0 85(40) 91(35) 100(79) 0 154 53.39
4 0 54(75) 26(74) 0 149 46.03
5 0 19(52) 49(24) 36(79) 0 155 94.40
6 0 35(29) 71(21) 65(30) 66(24) 20(52) 0 156 112.21
7 0 1(21) 30(59) 70(48) 69(26) 0 154 52.44
8 0 17(79) 16(44) 61(31) 0 154 71.56
9 0 82(79) 47(21) 48(57) 0 157 68.93
10 0 14(69) 44(71) 59(14) 0 154 69.62
11 0 32(75) 90(71) 31(14) 0 160 70.94
12 0 72(76) 21(77) 0 153 44.97
13 0 76(60) 50(79) 0 139 38.01
14 0 63(20) 64(69) 11(68) 0 157 95.89
15 0 41(22) 15(60) 57(31) 2(33) 0 146 72.14
16 0 89(16) 84(24) 45(17) 46(70) 8(33) 0 160 79.58
17 0 89(36) 96(78) 6(45) 0 159 33.37
18 0 18(77) 83(27) 60(48) 0 152 44.79
19 0 22(79) 74(66) 0 145 54.68
20 0 56(22) 39(25) 67(20) 23(44) 75(22) 73(21) 0 154 94.53
21 0 92(68) 37(33) 98(55) 0 156 43.89
22 0 68(79) 3(79) 0 158 49.82
23 0 94(64) 13(74) 0 138 27.69
24 0 88(50) 7(75) 52(35) 0 160 46.77
25 0 58(59) 40(78) 0 137 24.36
26 0 29(58) 24(60) 80(35) 0 153 67.22
27 0 53(29) 28(68) 0 97 18.01
28 0 51(20) 9(60) 81(28) 33(45) 0 153 66.84
29 0 97(74) 42(49) 87(31) 0 154 51.86
30 0 77(18) 79(24) 34(36) 78(76) 0 154 72.80
31 0 4(29) 25(69) 55(20) 12(38) 0 156 71.30
32 0 27(38) 31(19) 10(58) 62(34) 0 149 57.53
Total Distance 1939.96
583
Table A.205: EMIP-MDA+ERTR solution to S101D5 with p = .3.
No. Route Load Distance
1 0 20(86) 30(58) 27(16) 0 160 64.31
2 0 59(94) 94(62) 0 156 35.68
3 0 66(46) 65(111) 0 157 104.03
4 0 53(91) 0 91 8.94
5 0 13(32) 57(69) 2(59) 0 160 48.16
6 0 85(50) 91(70) 98(40) 0 160 51.92
7 0 35(75) 71(77) 0 152 87.41
8 0 10(27) 32(111) 66(21) 0 159 90.85
9 0 82(26) 46(111) 45(23) 0 160 76.29
10 0 44(93) 16(64) 0 157 67.13
11 0 52(47) 69(111) 0 158 34.25
12 0 87(94) 42(60) 0 154 51.09
13 0 73(105) 40(55) 0 160 40.25
14 0 61(106) 99(53) 0 159 51.23
15 0 57(30) 15(61) 41(69) 0 160 71.50
16 0 68(58) 80(53) 54(49) 0 160 54.24
17 0 75(99) 72(55) 0 154 55.64
18 0 70(56) 10(61) 31(41) 0 158 54.68
19 0 52(30) 82(34) 8(83) 0 147 56.61
20 0 9(52) 81(71) 33(33) 0 156 65.60
21 0 93(98) 99(24) 96(36) 0 158 40.58
22 0 51(111) 50(49) 0 160 55.08
23 0 48(36) 47(108) 0 144 68.41
24 0 50(61) 1(52) 27(37) 0 150 39.11
25 0 33(27) 79(71) 3(62) 0 160 56.38
26 0 76(54) 77(91) 0 145 39.47
27 0 40(46) 58(91) 13(20) 0 157 32.57
28 0 49(83) 64(61) 0 144 103.18
29 0 90(64) 63(72) 31(23) 0 159 71.65
30 0 4(103) 21(53) 0 156 53.03
31 0 95(16) 42(44) 43(100) 0 160 70.14
32 0 36(108) 48(49) 0 157 82.80
33 0 79(40) 34(65) 78(55) 0 160 72.25
(cont.)
584
Table A.205 continued.
No. Route Load Distance
34 0 24(102) 29(57) 0 159 66.90
35 0 54(53) 55(107) 0 160 61.75
36 0 95(36) 97(110) 0 146 35.07
37 0 100(53) 14(106) 0 159 64.60
38 0 18(111) 89(49) 0 160 32.62
39 0 28(110) 0 110 12.65
40 0 84(52) 17(52) 45(52) 0 156 67.63
41 0 6(63) 5(52) 60(45) 0 160 43.68
42 0 25(55) 67(50) 23(50) 0 155 96.73
43 0 7(38) 19(57) 11(63) 0 158 73.01
44 0 7(25) 62(79) 88(52) 0 156 55.72
45 0 26(84) 12(57) 0 141 33.25
46 0 83(109) 60(20) 89(28) 0 157 43.39
47 0 22(104) 74(48) 0 152 54.68
48 0 38(89) 86(63) 0 152 90.82
49 0 39(88) 56(71) 0 159 70.18
50 0 96(16) 98(19) 37(64) 92(52) 0 151 44.60
Total Distance 2901.76
585
Table A.206: EMIP-MDA+ERTR solution to S51D3 with p = .4.
No. Route Load Distance
1 0 27(21) 31(32) 28(78) 1(20) 0 151 66.51
2 0 8(51) 26(52) 48(53) 0 156 58.20
3 0 7(31) 43(68) 23(18) 6(31) 0 148 74.08
4 0 46(47) 18(79) 25(23) 0 149 52.66
5 0 46(32) 38(57) 49(51) 5(20) 0 160 45.84
6 0 10(56) 39(56) 30(26) 9(20) 0 158 81.93
7 0 24(70) 14(74) 0 144 53.94
8 0 19(25) 40(69) 41(37) 13(20) 0 151 93.21
9 0 4(71) 47(76) 0 147 34.45
10 0 22(72) 32(79) 0 151 42.51
11 0 2(27) 20(54) 29(25) 21(21) 34(33) 0 160 91.16
12 0 44(61) 42(72) 17(20) 0 153 66.88
13 0 3(30) 36(76) 35(43) 0 149 90.13
14 0 50(78) 16(32) 11(31) 0 141 53.87
15 0 33(28) 45(43) 15(29) 37(32) 12(25) 0 157 73.03
Total Distance 978.41
586
Table A.207: EMIP-MDA+ERTR solution to S51D4 with p = .4.
No. Route Load Distance
1 0 26(124) 0 124 56.32
2 0 30(108) 38(46) 0 154 61.95
3 0 47(131) 0 131 18.87
4 0 18(143) 0 143 29.53
5 0 45(112) 15(34) 0 146 62.77
6 0 14(139) 0 139 36.22
7 0 44(106) 17(45) 0 151 50.81
8 0 43(117) 7(27) 0 144 73.12
9 0 40(127) 13(25) 0 152 90.36
10 0 8(131) 0 131 44.05
11 0 48(81) 31(70) 0 151 64.08
12 0 10(122) 49(38) 0 160 57.57
13 0 33(136) 5(17) 0 153 69.02
14 0 41(57) 19(40) 42(63) 0 160 75.34
15 0 22(137) 1(23) 0 160 41.77
16 0 46(52) 12(94) 0 146 17.37
17 0 36(141) 20(19) 0 160 88.91
18 0 37(143) 0 143 36.22
19 0 3(25) 35(84) 20(26) 2(25) 0 160 82.74
20 0 27(58) 6(89) 0 147 28.46
21 0 49(32) 39(100) 5(18) 0 150 77.01
22 0 32(142) 0 142 20.00
23 0 50(43) 34(92) 9(23) 0 158 64.66
24 0 2(18) 21(69) 16(42) 38(31) 0 160 70.87
25 0 29(118) 11(30) 0 148 58.63
26 0 28(127) 1(20) 0 147 60.01
27 0 4(81) 41(79) 0 160 61.14
28 0 24(93) 23(48) 0 141 56.52
29 0 4(62) 25(94) 0 156 57.98
Total Distance 1612.30
587
Table A.208: EMIP-MDA+ERTR solution to S51D5 with p = .4.
No. Route Load Distance
1 0 9(53) 50(106) 0 159 54.92
2 0 42(111) 19(31) 0 142 71.77
3 0 20(69) 3(56) 1(35) 0 160 73.36
4 0 28(108) 31(52) 0 160 66.12
5 0 6(45) 43(58) 7(54) 0 157 73.21
6 0 30(42) 34(91) 16(26) 0 159 71.64
7 0 47(36) 4(108) 0 144 34.45
8 0 29(60) 21(64) 16(27) 0 151 68.40
9 0 37(49) 44(51) 15(52) 0 152 56.21
10 0 10(109) 39(22) 30(28) 0 159 81.23
11 0 35(54) 36(100) 0 154 89.42
12 0 47(25) 17(62) 12(45) 0 132 36.56
13 0 27(21) 1(24) 32(111) 0 156 32.15
14 0 18(99) 13(59) 0 158 58.34
15 0 46(111) 0 111 4.47
16 0 49(78) 5(49) 12(33) 0 160 47.16
17 0 41(55) 40(79) 19(21) 0 155 85.10
18 0 25(63) 24(93) 0 156 62.18
19 0 38(104) 11(53) 0 157 34.56
20 0 22(78) 2(69) 0 147 52.46
21 0 8(96) 26(51) 0 147 57.39
22 0 14(111) 6(49) 0 160 39.81
23 0 39(33) 33(56) 45(66) 0 155 90.54
24 0 23(52) 48(71) 27(31) 0 154 47.84
Total Distance 1389.32
588
Table A.209: EMIP-MDA+ERTR solution to S51D6 with p = .4.
No. Route Load Distance
1 0 1(118) 0 118 27.78
2 0 2(118) 0 118 42.05
3 0 3(114) 0 114 65.12
4 0 4(143) 0 143 34.41
5 0 5(116) 0 116 28.28
6 0 6(130) 0 130 22.80
7 0 7(114) 0 114 52.84
8 0 8(140) 0 140 44.05
9 0 9(113) 0 113 46.17
10 0 10(138) 0 138 56.64
11 0 11(115) 0 115 24.08
12 0 12(131) 0 131 16.12
13 0 13(114) 0 114 58.31
14 0 14(142) 0 142 36.22
15 0 15(116) 0 116 49.48
16 0 16(118) 0 118 44.05
17 0 17(119) 0 119 34.53
18 0 18(143) 0 143 29.53
19 0 19(118) 0 118 63.81
20 0 20(119) 0 119 64.90
21 0 21(125) 0 125 64.12
22 0 22(142) 0 142 41.62
23 0 23(120) 0 120 44.05
24 0 24(131) 0 131 50.12
25 0 25(131) 0 131 46.17
26 0 26(139) 0 139 56.32
27 0 27(122) 0 122 16.00
28 0 28(139) 0 139 59.93
29 0 29(137) 0 137 58.24
30 0 30(135) 0 135 61.74
31 0 31(125) 0 125 59.67
32 0 32(143) 0 143 20.00
33 0 33(142) 0 142 68.00
(cont.)
589
Table A.209 continued.
No. Route Load Distance
34 0 34(131) 0 131 63.56
35 0 35(129) 0 129 78.82
36 0 36(143) 0 143 87.86
37 0 37(143) 0 143 36.22
38 0 38(127) 0 127 31.62
39 0 39(133) 0 133 76.58
40 0 40(139) 0 139 84.40
41 0 41(142) 0 142 60.96
42 0 42(123) 0 123 62.64
43 0 43(137) 0 137 69.31
44 0 44(134) 0 134 50.00
45 0 45(136) 0 136 62.64
46 0 46(121) 0 121 4.47
47 0 47(140) 0 140 18.87
48 0 48(128) 0 128 31.62
49 0 49(125) 0 125 43.27
50 0 50(118) 0 118 52.35
Total Distance 2402.35
590
Table A.210: EMIP-MDA+ERTR solution to S76D3 with p = .4.
No. Route Load Distance
1 0 58(59) 72(57) 39(23) 9(21) 0 160 57.72
2 0 50(74) 32(79) 0 153 59.50
3 0 45(34) 29(14) 15(20) 57(70) 27(20) 0 158 61.42
4 0 33(14) 43(26) 41(23) 56(75) 23(20) 0 158 83.63
5 0 16(21) 63(52) 1(27) 73(58) 0 158 59.75
6 0 10(77) 38(72) 0 149 59.93
7 0 31(20) 25(31) 55(38) 18(67) 0 156 113.69
8 0 12(46) 40(47) 17(30) 51(33) 0 156 41.34
9 0 29(14) 5(10) 36(68) 47(29) 48(39) 0 160 68.54
10 0 22(46) 61(78) 21(32) 0 156 80.55
11 0 19(20) 59(45) 14(79) 7(9) 0 153 79.96
12 0 54(67) 13(27) 52(61) 0 155 57.51
13 0 30(38) 2(37) 6(62) 0 137 39.08
14 0 3(24) 44(19) 24(61) 49(46) 33(10) 0 160 79.03
15 0 7(13) 53(59) 35(22) 8(64) 0 158 50.56
16 0 34(59) 46(79) 26(19) 0 157 29.09
17 0 67(61) 4(76) 0 137 19.46
18 0 68(68) 75(75) 0 143 14.75
19 0 65(79) 66(44) 11(21) 0 144 75.34
20 0 42(79) 64(77) 0 156 88.08
21 0 5(7) 60(79) 70(37) 20(37) 0 160 90.60
22 0 74(32) 28(76) 62(51) 0 159 55.17
23 0 37(17) 71(69) 69(73) 0 159 88.48
Total Distance 1453.17
591
Table A.211: EMIP-MDA+ERTR solution to S76D4 with p = .4.
No. Route Load Distance
1 0 61(121) 0 121 68.47
2 0 53(143) 0 143 45.34
3 0 35(133) 0 133 36.06
4 0 49(141) 0 141 56.14
5 0 46(31) 19(82) 8(41) 0 154 47.14
6 0 13(102) 54(41) 0 143 57.39
7 0 21(143) 0 143 54.59
8 0 48(28) 47(86) 29(42) 0 156 56.56
9 0 3(139) 44(20) 0 159 43.26
10 0 73(74) 1(86) 0 160 51.46
11 0 11(138) 0 138 58.31
12 0 15(118) 29(42) 0 160 55.84
13 0 28(47) 62(60) 6(39) 0 146 54.46
14 0 5(36) 70(87) 20(37) 0 160 84.05
15 0 7(143) 0 143 28.28
16 0 67(143) 0 143 10.77
17 0 25(124) 50(35) 0 159 71.17
18 0 64(121) 22(25) 0 146 87.03
19 0 72(143) 12(13) 0 156 41.70
20 0 17(135) 0 135 16.12
21 0 74(103) 2(46) 0 149 41.77
22 0 36(42) 69(89) 30(24) 0 155 77.72
23 0 39(143) 12(9) 0 152 44.74
24 0 57(135) 0 135 56.36
25 0 24(44) 56(73) 23(35) 0 152 88.38
26 0 71(139) 0 139 79.65
27 0 66(72) 10(33) 58(49) 0 154 80.26
28 0 45(126) 4(31) 0 157 28.28
29 0 34(24) 52(49) 27(50) 4(34) 0 157 35.72
30 0 51(32) 41(96) 42(27) 0 155 79.16
31 0 26(24) 38(25) 65(105) 0 154 63.59
32 0 37(52) 60(98) 0 150 86.99
33 0 43(126) 33(31) 0 157 63.84
(cont.)
592
Table A.211 continued.
No. Route Load Distance
34 0 75(124) 0 124 6.00
35 0 68(138) 0 138 14.56
36 0 16(25) 63(131) 0 156 47.86
37 0 59(101) 14(29) 0 130 76.85
38 0 9(24) 55(55) 18(26) 32(47) 0 152 92.60
39 0 31(100) 9(27) 40(33) 0 160 78.82
Total Distance 2167.27
Table A.212: EMIP-MDA+ERTR solution to S101D2 with p = .4.
No. Route Load Distance
1 0 60(20) 83(23) 45(32) 46(35) 8(23) 18(19) 0 152 76.79
2 0 97(18) 37(40) 100(43) 91(22) 85(18) 93(18) 0 159 54.53
3 0 76(47) 68(37) 80(43) 12(21) 0 148 46.59
4 0 2(18) 41(36) 22(20) 75(21) 72(45) 73(18) 0 158 67.24
5 0 20(16) 66(46) 65(20) 71(18) 35(41) 9(18) 0 159 112.62
6 0 16(18) 86(37) 38(28) 44(47) 14(18) 87(10) 0 158 98.64
7 0 58(46) 13(30) 94(47) 6(18) 0 141 33.95
8 0 52(42) 7(41) 48(47) 82(24) 0 154 57.20
9 0 89(18) 5(26) 84(32) 17(40) 61(21) 99(17) 0 154 66.25
10 0 19(39) 11(47) 62(47) 88(19) 0 152 72.71
11 0 4(24) 25(47) 55(34) 54(43) 0 148 69.89
12 0 31(31) 70(41) 1(38) 69(19) 27(18) 0 147 49.49
13 0 10(18) 90(45) 32(33) 30(23) 51(40) 0 159 83.48
14 0 56(33) 39(46) 67(17) 23(27) 74(32) 0 155 94.74
15 0 26(21) 21(45) 40(44) 53(26) 0 136 39.43
16 0 24(21) 29(47) 34(25) 78(20) 77(18) 28(27) 0 158 86.89
17 0 63(22) 64(25) 49(28) 36(39) 47(45) 0 159 112.44
18 0 3(31) 79(23) 81(18) 33(44) 50(39) 0 155 59.90
19 0 87(13) 42(31) 43(47) 15(46) 57(23) 0 160 72.41
20 0 95(20) 92(25) 98(43) 59(28) 96(36) 0 152 43.67
Total Distance 1398.88
593
Table A.213: EMIP-MDA+ERTR solution to S101D3 with p = .4.
No. Route Load Distance
1 0 54(75) 26(74) 0 149 46.03
2 0 76(60) 50(79) 0 139 38.01
3 0 10(58) 11(68) 62(34) 0 160 70.23
4 0 82(79) 18(77) 0 156 47.74
5 0 22(79) 74(66) 0 145 54.68
6 0 88(50) 7(75) 52(35) 0 160 46.77
7 0 94(64) 96(78) 0 142 31.31
8 0 97(74) 92(68) 0 142 38.75
9 0 12(38) 55(20) 25(69) 4(29) 0 156 71.30
10 0 3(79) 68(79) 0 158 49.82
11 0 77(18) 79(24) 34(36) 78(76) 0 154 72.80
12 0 80(35) 24(60) 29(58) 0 153 67.22
13 0 58(59) 13(74) 0 133 26.32
14 0 89(52) 60(48) 6(45) 0 145 38.18
15 0 5(37) 84(24) 17(79) 45(17) 0 157 68.04
16 0 40(78) 21(77) 0 155 36.28
17 0 31(14) 90(71) 32(75) 0 160 70.94
18 0 48(57) 46(70) 8(33) 0 160 75.19
19 0 43(23) 38(22) 86(77) 61(31) 0 153 100.82
20 0 19(52) 64(69) 63(20) 31(19) 0 160 98.37
21 0 49(24) 36(79) 47(21) 83(27) 0 151 101.11
22 0 35(29) 71(21) 65(30) 66(24) 20(52) 0 156 112.21
23 0 51(20) 9(60) 81(28) 33(45) 0 153 66.84
24 0 44(71) 14(69) 87(13) 0 153 71.20
25 0 28(68) 27(38) 0 106 18.03
26 0 57(31) 15(60) 42(49) 87(18) 0 158 65.29
27 0 2(33) 73(21) 72(76) 53(29) 0 159 52.66
28 0 99(48) 93(64) 95(41) 0 153 42.19
29 0 37(33) 91(35) 16(44) 85(40) 0 152 60.76
30 0 41(22) 23(44) 67(20) 39(25) 56(22) 75(22) 0 155 102.82
31 0 59(20) 98(55) 100(79) 0 154 48.61
32 0 1(21) 30(59) 70(48) 69(26) 0 154 52.44
Total Distance 1942.94
594
Table A.214: EMIP-MDA+ERTR solution to S101D5 with p = .4.
No. Route Load Distance
1 0 24(102) 29(57) 0 159 66.90
2 0 25(55) 67(50) 23(50) 0 155 96.73
3 0 58(91) 40(60) 0 151 24.36
4 0 96(52) 99(77) 95(30) 0 159 37.75
5 0 79(111) 3(37) 0 148 51.52
6 0 46(111) 47(49) 0 160 79.67
7 0 92(52) 37(64) 98(24) 0 140 43.89
8 0 98(35) 91(70) 100(53) 0 158 52.94
9 0 66(27) 65(111) 9(21) 0 159 104.50
10 0 28(110) 0 110 12.65
11 0 11(63) 64(61) 49(34) 0 158 103.20
12 0 56(71) 39(88) 0 159 70.18
13 0 5(52) 17(52) 84(52) 0 156 61.03
14 0 4(103) 12(57) 0 160 55.81
15 0 95(22) 97(110) 0 132 35.07
16 0 42(60) 43(100) 0 160 68.73
17 0 10(88) 31(64) 0 152 51.02
18 0 50(110) 1(31) 0 141 38.53
19 0 14(106) 42(44) 0 150 66.73
20 0 88(52) 62(79) 7(29) 0 160 55.72
21 0 52(77) 89(77) 0 154 28.38
22 0 87(94) 13(52) 0 146 36.85
23 0 94(62) 93(98) 0 160 40.83
24 0 75(99) 72(55) 0 154 55.64
25 0 83(109) 60(39) 0 148 43.37
26 0 53(91) 0 91 8.94
27 0 41(69) 15(61) 0 130 71.44
28 0 59(94) 6(63) 0 157 36.20
29 0 78(55) 34(65) 9(31) 0 151 79.26
30 0 45(75) 8(83) 0 158 61.81
31 0 61(106) 85(50) 0 156 52.99
32 0 22(104) 74(48) 0 152 54.68
33 0 54(49) 80(53) 68(58) 0 160 54.24
(cont.)
595
Table A.214 continued.
No. Route Load Distance
34 0 30(34) 66(40) 20(86) 0 160 81.87
35 0 26(84) 40(41) 0 125 29.43
36 0 71(77) 35(75) 0 152 87.41
37 0 16(64) 44(93) 0 157 67.13
38 0 1(21) 51(111) 30(24) 0 156 61.99
39 0 38(89) 86(63) 0 152 90.82
40 0 33(60) 81(71) 3(25) 0 156 58.95
41 0 7(34) 19(57) 47(59) 0 150 74.66
42 0 77(91) 76(54) 0 145 39.47
43 0 32(111) 70(32) 0 143 68.25
44 0 36(108) 49(49) 0 157 94.28
45 0 48(85) 82(60) 0 145 56.51
46 0 69(111) 27(31) 0 142 24.45
47 0 73(105) 21(53) 0 158 41.31
48 0 70(24) 90(64) 63(72) 0 160 73.03
49 0 60(26) 18(111) 27(22) 0 159 44.74
50 0 55(107) 54(53) 0 160 61.75
51 0 57(99) 2(59) 0 158 47.03
Total Distance 2904.61
596
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.1: Estimated and EMIP-MDA + ERTR solutions to MDA1 with p = .1,
.2, .3, and .4.
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.2: Estimated and EMIP-MDA + ERTR solutions to MDA2 with p = .1,
.2, .3, and .4.
597
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.3: Estimated and EMIP-MDA + ERTR solutions to MDA3 with p = .1,
.2, .3, and .4.
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.4: Estimated and EMIP-MDA + ERTR solutions to MDA4 with p = .1,
.2, .3, and .4.
598
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.5: EMIP-MDA + ERTR solution to MDA5 with p = .1.
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.6: Estimated and EMIP-MDA + ERTR solutions to MDA5 with p = .2
and .3.
599
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.7: EMIP-MDA + ERTR solution to MDA5 with p = .4.
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.8: Estimated and EMIP-MDA + ERTR solutions to MDA6 with p = .1,
.2, and .3.
600
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.9: EMIP-MDA + ERTR solution to MDA6 with p = .4.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.10: Estimated and EMIP-MDA + ERTR solutions to MDA7 with p = .1,
.2, .3, and .4.
601
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.11: EMIP-MDA + ERTR solution to MDA8 with p = .1 and .2.
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.12: Estimated and EMIP-MDA + ERTR solutions to MDA8 with p = .3
and .4.
602
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.13: EMIP-MDA + ERTR solution to MDA9 with p = .1.
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.14: EMIP-MDA + ERTR solution to MDA9 with p = .2 and .3.
603
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.15: EMIP-MDA + ERTR solution to MDA9 with p = .4.
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.16: Estimated solution to MDA9.
604
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.17: EMIP-MDA + ERTR solution to MDA10 with p = .1.
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.18: EMIP-MDA + ERTR solution to MDA10 with p = .2.
605
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.19: EMIP-MDA + ERTR solution to MDA10 with p = .3.
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.20: EMIP-MDA + ERTR solution to MDA10 with p = .4.
606
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.21: Estimated solution to MDA10.
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.22: EMIP-MDA + ERTR solution to MDA11 with p = .1.
607
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.23: EMIP-MDA + ERTR solution to MDA11 with p = .2.
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.24: EMIP-MDA + ERTR solution to MDA11 with p = .3.
608
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.25: EMIP-MDA + ERTR solution to MDA11 with p = .4.
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.26: Estimated solution to MDA11.
609
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.27: EMIP-MDA + ERTR solution to MDA12 with p = .1 and .2.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.28: EMIP-MDA + ERTR solution to MDA12 with p = .3.
610
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.29: EMIP-MDA + ERTR solution to MDA12 with p = .4.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.30: Estimated solution to MDA12.
611
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.31: EMIP-MDA + ERTR solution to MDA13 with p = .1.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.32: EMIP-MDA + ERTR solution to MDA13 with p = .2.
612
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.33: EMIP-MDA + ERTR solution to MDA13 with p = .3.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.34: EMIP-MDA + ERTR solution to MDA13 with p = .4.
613
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.35: Estimated solution to MDA13.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.36: EMIP-MDA + ERTR solution to MDA14 with p = .1.
614
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.37: EMIP-MDA + ERTR solution to MDA14 with p = .2.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.38: EMIP-MDA + ERTR solution to MDA14 with p = .3.
615
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.39: EMIP-MDA + ERTR solution to MDA14 with p = .4.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.40: Estimated solution to MDA14.
616
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.41: EMIP-MDA + ERTR solution to MDA15 with p = .1.
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.42: EMIP-MDA + ERTR solution to MDA15 with p = .2.
617
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.43: EMIP-MDA + ERTR solution to MDA15 with p = .3.
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.44: EMIP-MDA + ERTR solution to MDA15 with p = .4.
618
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.45: Estimated solution to MDA15.
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.46: EMIP-MDA + ERTR solution to MDA16 with p = .1.
619
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.47: EMIP-MDA + ERTR solution to MDA16 with p = .2.
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.48: EMIP-MDA + ERTR solution to MDA16 with p = .3.
620
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.49: EMIP-MDA + ERTR solution to MDA16 with p = .4.
?20 ?15 ?10 ?5 0 5 10 15 20
?20
?15
?10
?5
0
5
10
15
20
Figure A.50: Estimated solution to MDA16.
621
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.51: EMIP-MDA + ERTR solution to MDA17 with p = .1.
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.52: EMIP-MDA + ERTR solution to MDA17 with p = .2.
622
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.53: EMIP-MDA + ERTR solution to MDA17 with p = .3.
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.54: EMIP-MDA + ERTR solution to MDA17 with p = .4.
623
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.55: Estimated solution to MDA17.
624
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.56: EMIP-MDA + ERTR solution to MDA18 with p = .1.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.57: EMIP-MDA + ERTR solution to MDA18 with p = .2.
625
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.58: EMIP-MDA + ERTR solution to MDA18 with p = .3.
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.59: EMIP-MDA + ERTR solution to MDA18 with p = .4.
626
?100 ?80 ?60 ?40 ?20 0 20 40 60 80 100
?100
?80
?60
?40
?20
0
20
40
60
80
100
Figure A.60: Estimated solution to MDA18.
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.61: EMIP-MDA + ERTR solution to MDA19 with p = .1.
627
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.62: EMIP-MDA + ERTR solution to MDA19 with p = .2.
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.63: EMIP-MDA + ERTR solution to MDA19 with p = .3.
628
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.64: EMIP-MDA + ERTR solution to MDA19 with p = .4.
?100 ?50 0 50 100
?100
?50
0
50
100
Figure A.65: Estimated solution to MDA19.
629
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.66: EMIP-MDA + ERTR solution to MDA20 with p = .1.
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.67: EMIP-MDA + ERTR solution to MDA20 with p = .2.
630
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.68: EMIP-MDA + ERTR solution to MDA20 with p = .3.
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.69: EMIP-MDA + ERTR solution to MDA20 with p = .4.
631
?200 ?150 ?100 ?50 0 50 100 150 200
?200
?150
?100
?50
0
50
100
150
200
Figure A.70: Estimated solution to MDA20.
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.71: EMIP-MDA + ERTR solution to MDA21 with p = .1.
632
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.72: EMIP-MDA + ERTR solution to MDA21 with p = .2.
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.73: EMIP-MDA + ERTR solution to MDA21 with p = .3.
633
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.74: EMIP-MDA + ERTR solution to MDA21 with p = .4.
?40 ?30 ?20 ?10 0 10 20 30 40
?40
?30
?20
?10
0
10
20
30
40
Figure A.75: Estimated solution to MDA21.
634
Appendix B
MDSDVRP: Problems and Solutions
Table B.1: Symbol key.
N Number of customers in a problem
M Number of depots
Q Vehicle capacity
No. Customer or route number
x x-coordinate of a node?s location
y y-coordinate of a node?s location
D Customer demand
Note: nodes 0 and N + 1, ..., N +M ?1 are depots.
Table B.2: Dimensions for 10 MDSDVRPs.
Problem N M Q
MDSD1 50 4 80
MDSD2 75 5 140
MDSD3 100 2 100
MDSD4 100 2 200
MDSD5 100 3 100
MDSD6 100 4 100
MDSD7 249 2 500
MDSD8 249 3 500
MDSD9 249 4 500
MDSD10 249 5 500
635
Table B.3: Dimensions for 12 MDSDVRPs.
Problem N N Q
SQ1 32 2 100
SQ2 48 3 100
SQ3 64 4 100
SQ4 80 5 100
SQ5 64 2 100
SQ6 96 3 100
SQ7 128 4 100
SQ8 160 5 100
SQ9 96 2 100
SQ10 144 3 100
SQ11 192 4 100
SQ12 240 5 100
636
Table B.4: Node locations and demands for MDSD1 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 20 20 0 0 0 27 30 48 54 50 70
1 37 52 56 42 65 28 43 67 42 26 66
2 49 49 49 51 62 29 58 48 66 32 63
3 52 64 55 31 63 30 58 27 25 33 69
4 20 26 70 36 69 31 37 69 43 47 60
5 40 30 66 27 63 32 38 46 62 48 67
6 21 47 20 24 56 33 46 10 41 42 68
7 17 63 33 42 59 34 61 33 26 50 58
8 31 62 34 48 59 35 62 63 43 35 64
9 52 33 56 34 70 36 63 69 57 53 59
10 51 21 66 50 66 37 32 22 34 25 57
11 42 41 13 53 69 38 45 35 18 37 64
12 31 32 54 49 69 39 59 15 59 42 71
13 5 25 57 41 56 40 5 6 66 40 59
14 12 42 64 29 68 41 10 17 71 42 58
15 36 16 60 55 63 42 21 10 34 49 65
16 52 41 62 28 57 43 5 64 9 25 66
17 27 23 45 32 58 44 30 15 43 43 57
18 17 33 23 47 60 45 39 10 43 35 58
19 13 13 28 37 61 46 32 39 34 39 59
20 57 58 49 46 70 47 25 32 62 26 65
21 62 42 16 55 70 48 25 55 13 36 59
22 42 57 15 45 67 49 48 28 31 26 69
23 16 57 9 38 59 50 56 37 23 36 57
24 8 52 65 48 62 51 30 40 0 0 0
25 7 38 29 31 68 52 50 30 0 0 0
26 27 68 45 49 64 53 60 50 0 0 0
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
637
Table B.5: Node locations and demands for MDSD2 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 40 40 0 0 0 35 55 50 57 86 107
1 22 22 82 76 115 36 54 10 77 51 102
2 36 26 17 59 112 37 60 15 90 59 122
3 21 45 60 90 111 38 47 66 96 93 107
4 45 35 96 46 110 39 30 60 107 55 118
5 55 20 75 80 113 40 30 50 118 80 113
6 33 34 92 92 122 41 12 17 65 53 114
7 50 50 45 54 114 42 15 14 15 52 100
8 55 45 87 84 112 43 16 19 83 73 124
9 26 59 117 95 113 44 21 48 52 49 115
10 40 66 26 55 113 45 50 30 122 82 100
11 55 65 85 75 111 46 51 42 122 48 125
12 35 51 34 52 104 47 50 15 35 46 107
13 62 35 57 50 99 48 48 21 93 73 118
14 62 57 21 48 118 49 12 38 56 80 110
15 62 24 46 45 125 50 15 56 117 87 98
16 21 36 104 47 107 51 29 39 70 96 116
17 33 44 41 66 123 52 54 38 121 65 100
18 9 56 95 61 109 53 55 57 124 53 119
19 62 48 26 79 99 54 67 41 48 52 122
20 66 14 61 75 113 55 10 70 115 74 105
21 44 13 112 62 100 56 6 25 79 95 122
22 26 13 60 49 124 57 65 27 37 47 107
23 11 28 36 85 104 58 40 60 91 68 110
24 7 43 116 44 109 59 70 64 95 65 115
25 17 64 65 93 99 60 64 4 123 60 104
26 41 46 84 42 110 61 36 6 34 52 118
27 55 34 76 45 106 62 30 20 27 82 105
28 35 16 55 64 125 63 20 30 112 66 120
29 52 26 121 42 115 64 15 5 99 97 113
30 43 26 24 59 122 65 50 70 67 95 116
31 31 76 65 62 116 66 57 72 34 87 108
32 22 53 17 68 115 67 45 42 43 75 123
33 26 29 17 57 123 68 38 33 93 94 112
34 50 40 55 54 121 69 50 4 110 43 110
(cont.)
638
Table B.5 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 66 8 97 47 111 75 40 37 111 78 114
71 59 5 39 58 111 76 50 22 0 0 0
72 35 60 68 82 120 77 55 55 0 0 0
73 27 24 100 52 118 78 25 45 0 0 0
74 40 20 93 79 99 79 20 20 0 0 0
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
639
Table B.6: Node locations and demands for MDSD3 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 35 20 0 0 0 35 63 65 31 45 78
1 41 49 59 54 82 36 2 60 69 34 80
2 35 17 89 31 78 37 20 20 15 50 86
3 55 45 56 56 83 38 5 5 87 38 82
4 55 20 21 51 79 39 60 12 59 44 86
5 15 30 56 59 75 40 40 25 27 59 84
6 25 30 16 30 83 41 42 7 65 66 73
7 20 50 84 33 70 42 24 12 24 51 87
8 10 43 42 38 73 43 23 3 29 45 77
9 55 60 25 56 72 44 11 14 84 50 76
10 30 60 88 56 84 45 6 38 27 31 84
11 20 65 36 44 78 46 2 48 87 43 83
12 50 35 31 40 74 47 8 56 46 55 83
13 30 25 64 54 73 48 13 52 67 35 70
14 15 10 43 64 76 49 6 68 53 64 88
15 30 5 66 54 73 50 47 47 21 67 77
16 10 20 77 33 75 51 49 58 72 64 86
17 5 30 53 36 73 52 27 43 25 57 75
18 20 40 17 31 86 53 37 31 52 67 71
19 15 60 11 50 88 54 57 29 44 35 83
20 45 65 64 38 76 55 63 23 58 62 75
21 45 20 31 35 76 56 53 12 23 63 78
22 45 10 48 39 70 57 32 12 50 49 84
23 55 5 31 36 72 58 36 26 23 48 82
24 65 35 81 68 82 59 21 24 54 55 73
25 65 20 62 55 84 60 17 34 49 52 85
26 45 30 30 38 80 61 12 24 29 67 74
27 35 40 16 39 71 62 24 58 42 48 73
28 41 37 55 31 80 63 27 69 70 32 83
29 64 42 34 52 74 64 15 77 37 35 87
30 40 60 61 31 74 65 62 77 76 58 87
31 31 52 79 31 70 66 49 73 53 53 75
32 35 69 24 45 75 67 67 5 56 61 88
33 53 52 73 68 75 68 56 39 34 50 87
34 65 55 34 39 82 69 37 47 14 41 84
(cont.)
640
Table B.6 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 37 56 26 61 80 86 4 18 58 50 88
71 57 68 69 32 81 87 28 18 43 63 72
72 47 16 18 38 82 88 26 52 53 48 84
73 44 17 67 55 87 89 26 35 46 48 86
74 46 13 42 35 79 90 31 67 49 34 85
75 49 11 36 63 85 91 15 19 60 54 86
76 49 42 52 57 87 92 22 22 23 35 78
77 53 43 62 41 73 93 18 24 31 66 70
78 61 52 66 57 78 94 26 27 85 30 71
79 57 48 87 37 84 95 25 24 32 65 85
80 56 37 31 39 71 96 22 27 65 54 71
81 55 54 61 63 86 97 25 21 12 61 81
82 15 47 57 69 86 98 19 21 18 48 72
83 14 37 37 69 87 99 20 26 53 62 77
84 11 31 34 41 79 100 18 18 17 33 86
85 16 22 12 67 84 101 35 35 0 0 0
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
641
Table B.7: Node locations and demands for MDSD4 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 15 35 0 0 0 35 63 65 154 73 163
1 41 49 118 109 164 36 2 60 48 128 157
2 35 17 113 76 159 37 20 20 172 96 143
3 55 45 53 105 140 38 5 5 149 71 153
4 55 20 88 84 165 39 60 12 111 115 143
5 15 30 178 100 166 40 40 25 31 81 141
6 25 30 142 117 176 41 42 7 73 70 175
7 20 50 61 61 178 42 24 12 87 104 168
8 10 43 44 95 161 43 23 3 111 86 150
9 55 60 59 82 152 44 11 14 60 83 143
10 30 60 75 127 178 45 6 38 63 129 164
11 20 65 62 78 147 46 2 48 45 81 156
12 50 35 66 84 152 47 8 56 132 93 152
13 30 25 42 103 152 48 13 52 135 60 174
14 15 10 97 101 162 49 6 68 80 94 169
15 30 5 49 108 154 50 47 47 145 83 147
16 10 20 61 99 171 51 49 58 90 125 151
17 5 30 179 103 169 52 27 43 91 61 159
18 20 40 173 96 143 53 37 31 58 77 157
19 15 60 148 79 172 54 57 29 125 88 149
20 45 65 136 97 166 55 63 23 140 115 154
21 45 20 43 134 156 56 53 12 129 138 154
22 45 10 36 130 164 57 32 12 174 66 179
23 55 5 130 88 177 58 36 26 63 131 167
24 65 35 163 108 169 59 21 24 71 97 146
25 65 20 163 96 176 60 17 34 114 66 157
26 45 30 176 114 142 61 12 24 30 113 167
27 35 40 49 90 175 62 24 58 125 136 162
28 41 37 116 110 166 63 27 69 137 106 145
29 64 42 112 61 142 64 15 77 125 127 142
30 40 60 76 86 162 65 62 77 133 99 178
31 31 52 44 130 171 66 49 73 150 69 169
32 35 69 54 89 173 67 67 5 28 85 165
33 53 52 138 71 155 68 56 39 56 108 173
34 65 55 67 106 157 69 37 47 162 78 155
(cont.)
642
Table B.7 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 37 56 68 122 145 86 4 18 161 120 143
71 57 68 90 116 171 87 28 18 75 130 161
72 47 16 121 77 158 88 26 52 73 65 159
73 44 17 100 79 166 89 26 35 39 122 144
74 46 13 43 116 166 90 31 67 71 77 143
75 49 11 55 95 149 91 15 19 35 77 145
76 49 42 63 70 177 92 22 22 161 106 177
77 53 43 163 130 165 93 18 24 170 63 166
78 61 52 67 76 153 94 26 27 153 121 167
79 57 48 28 136 163 95 25 24 107 104 152
80 56 37 34 105 146 96 22 27 169 122 143
81 55 54 164 110 161 97 25 21 125 95 146
82 15 47 122 136 173 98 19 21 176 120 149
83 14 37 114 106 153 99 20 26 109 93 140
84 11 31 147 134 173 100 18 18 129 106 168
85 16 22 171 97 144 101 55 35 0 0 0
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
643
Table B.8: Node locations and demands for MDSD5 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 15 20 0 0 0 35 63 65 68 42 89
1 41 49 59 54 82 36 2 60 35 58 70
2 35 17 63 45 85 37 20 20 77 38 84
3 55 45 32 63 79 38 5 5 11 63 80
4 55 20 26 64 89 39 60 12 10 54 79
5 15 30 47 42 86 40 40 25 69 69 85
6 25 30 32 33 72 41 42 7 23 46 82
7 20 50 60 57 88 42 24 12 25 30 87
8 10 43 13 67 83 43 23 3 83 69 74
9 55 60 44 45 77 44 11 14 67 67 87
10 30 60 67 53 71 45 6 38 68 69 77
11 20 65 14 34 72 46 2 48 75 56 81
12 50 35 38 43 76 47 8 56 75 66 74
13 30 25 27 48 71 48 13 52 80 30 84
14 15 10 66 56 82 49 6 68 42 33 70
15 30 5 36 52 72 50 47 47 47 53 71
16 10 20 57 42 71 51 49 58 57 35 85
17 5 30 61 48 88 52 27 43 88 50 88
18 20 40 76 38 84 53 37 31 78 55 83
19 15 60 39 62 77 54 57 29 64 62 72
20 45 65 70 53 86 55 63 23 61 68 70
21 45 20 23 57 88 56 53 12 40 30 84
22 45 10 76 34 76 57 32 12 82 30 87
23 55 5 71 37 80 58 36 26 79 33 79
24 65 35 69 54 87 59 21 24 65 30 87
25 65 20 41 67 77 60 17 34 61 41 85
26 45 30 50 35 78 61 12 24 34 41 83
27 35 40 17 53 77 62 24 58 16 48 73
28 41 37 68 58 83 63 27 69 16 51 83
29 64 42 58 52 72 64 15 77 65 48 75
30 40 60 87 60 85 65 62 77 67 39 79
31 31 52 39 47 84 66 49 73 32 56 77
32 35 69 80 47 75 67 67 5 56 39 89
33 53 52 33 31 82 68 56 39 63 47 71
34 65 55 42 52 75 69 37 47 16 66 81
(cont.)
644
Table B.8 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 37 56 35 68 79 87 28 18 40 58 73
71 57 68 24 34 86 88 26 52 15 55 88
72 47 16 50 40 83 89 26 35 44 34 78
73 44 17 28 62 71 90 31 67 69 64 89
74 46 13 21 37 82 91 15 19 14 36 70
75 49 11 11 39 70 92 22 22 41 30 76
76 49 42 45 54 85 93 18 24 11 45 75
77 53 43 18 44 77 94 26 27 48 52 82
78 61 52 52 45 79 95 25 24 77 33 71
79 57 48 71 35 74 96 22 27 55 40 78
80 56 37 74 38 84 97 25 21 42 57 87
81 55 54 14 36 78 98 19 21 88 50 84
82 15 47 84 31 84 99 20 26 13 48 81
83 14 37 74 32 71 100 18 18 81 60 87
84 11 31 74 65 85 101 50 20 0 0 0
85 16 22 85 41 85 102 35 55 0 0 0
86 4 18 60 41 78
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
645
Table B.9: Node locations and demands for MDSD6 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 15 35 0 0 0 35 63 65 14 45 85
1 41 49 59 54 82 36 2 60 89 56 75
2 35 17 33 66 74 37 20 20 37 63 79
3 55 45 61 30 79 38 5 5 38 57 87
4 55 20 16 68 75 39 60 12 19 39 82
5 15 30 88 50 83 40 40 25 85 35 88
6 25 30 28 37 77 41 42 7 87 60 80
7 20 50 41 35 71 42 24 12 35 48 82
8 10 43 36 54 84 43 23 3 64 47 77
9 55 60 46 49 80 44 11 14 71 62 81
10 30 60 27 58 86 45 6 38 36 67 83
11 20 65 11 69 88 46 2 48 84 31 73
12 50 35 39 45 77 47 8 56 52 39 72
13 30 25 60 31 85 48 13 52 23 47 76
14 15 10 70 61 86 49 6 68 45 49 86
15 30 5 70 36 88 50 47 47 88 49 77
16 10 20 76 32 77 51 49 58 87 43 86
17 5 30 25 59 88 52 27 43 53 34 81
18 20 40 35 62 78 53 37 31 76 62 70
19 15 60 75 40 86 54 57 29 40 33 89
20 45 65 49 39 78 55 63 23 56 50 73
21 45 20 86 59 74 56 53 12 64 68 76
22 45 10 59 45 72 57 32 12 11 35 70
23 55 5 44 33 83 58 36 26 49 34 88
24 65 35 46 36 76 59 21 24 77 69 83
25 65 20 86 51 89 60 17 34 20 54 89
26 45 30 26 66 75 61 12 24 83 50 80
27 35 40 33 50 70 62 24 58 39 56 75
28 41 37 70 61 86 63 27 69 84 60 76
29 64 42 13 49 80 64 15 77 80 32 75
30 40 60 85 67 72 65 62 77 50 41 85
31 31 52 17 63 84 66 49 73 56 65 79
32 35 69 13 38 83 67 67 5 77 34 78
33 53 52 65 33 77 68 56 39 14 47 83
34 65 55 64 68 86 69 37 47 42 59 88
(cont.)
646
Table B.9 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 37 56 74 41 82 87 28 18 82 47 71
71 57 68 45 58 85 88 26 52 74 51 89
72 47 16 17 57 88 89 26 35 17 60 71
73 44 17 87 58 72 90 31 67 61 51 78
74 46 13 66 40 74 91 15 19 24 42 74
75 49 11 29 48 74 92 22 22 16 61 73
76 49 42 33 36 89 93 18 24 19 39 87
77 53 43 17 33 86 94 26 27 43 44 75
78 61 52 45 43 79 95 25 24 78 64 82
79 57 48 64 53 74 96 22 27 43 40 81
80 56 37 31 59 76 97 25 21 25 68 84
81 55 54 72 49 77 98 19 21 71 51 70
82 15 47 29 52 79 99 20 26 82 61 77
83 14 37 74 61 80 100 18 18 73 58 86
84 11 31 85 33 89 101 55 35 0 0 0
85 16 22 46 69 82 102 35 20 0 0 0
86 4 18 49 44 84 103 35 50 0 0 0
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
647
Table B.10: Node locations and demands for MDSD7 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 -33 33 0 0 0 35 37 -90 365 192 389
1 -99 -97 303 276 412 36 -83 49 381 229 370
2 -59 50 83 248 443 37 35 -1 370 334 416
3 0 14 370 183 376 38 7 59 193 252 366
4 -17 -66 337 237 425 39 12 48 254 261 426
5 -69 -19 213 150 420 40 57 95 178 242 445
6 31 12 281 330 400 41 92 28 194 293 372
7 5 -41 119 318 444 42 -3 97 269 213 448
8 -12 10 101 225 366 43 -7 52 219 169 370
9 -64 70 194 211 372 44 42 -15 404 263 447
10 -12 85 406 253 377 45 77 -43 274 251 350
11 -18 64 271 273 420 46 59 -49 403 287 390
12 -77 -16 251 247 395 47 25 91 346 247 420
13 -53 88 136 301 374 48 69 -19 293 271 438
14 83 -24 354 288 409 49 -82 -14 224 270 448
15 24 41 254 155 398 50 74 -70 418 205 400
16 17 21 181 334 383 51 69 59 166 277 419
17 42 96 245 156 416 52 29 33 56 303 434
18 -65 0 146 223 362 53 -97 9 411 188 425
19 -47 -26 279 308 417 54 -58 9 409 284 442
20 85 36 227 228 353 55 28 93 412 303 392
21 -35 -54 386 342 449 56 7 73 243 343 372
22 54 -21 159 282 371 57 -28 73 326 196 393
23 64 -17 301 192 355 58 -76 55 274 243 440
24 55 89 251 251 372 59 41 42 69 206 440
25 17 -25 395 274 421 60 92 40 56 333 369
26 -61 66 434 197 398 61 -84 -29 95 209 378
27 -61 26 160 184 366 62 -12 42 238 192 449
28 17 -72 267 250 394 63 51 -45 63 161 444
29 79 38 233 187 359 64 -37 46 131 327 393
30 -62 -2 59 213 437 65 -97 35 189 245 401
31 -90 -68 261 199 391 66 14 89 367 254 377
32 52 66 244 241 405 67 60 58 354 209 413
33 -54 -50 244 257 353 68 -63 -75 291 287 372
34 8 -84 260 257 434 69 -18 34 197 256 368
(cont.)
648
Table B.10 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 -46 -82 99 156 382 105 64 20 249 244 364
71 -86 -79 210 289 404 106 -96 85 323 236 357
72 -43 -30 203 321 389 107 93 -29 63 247 420
73 -44 7 130 232 407 108 -40 -84 70 241 439
74 -3 -20 191 273 420 109 86 35 446 316 410
75 36 41 400 346 392 110 91 36 93 205 401
76 -30 -94 225 288 355 111 62 -8 322 239 403
77 79 -62 302 228 441 112 -24 4 238 218 366
78 51 70 109 261 378 113 11 96 132 195 446
79 -61 -26 290 252 374 114 -53 62 177 336 416
80 6 94 382 151 433 115 -28 -71 306 152 375
81 -19 -62 77 310 350 116 7 -4 199 328 427
82 -20 51 57 344 369 117 95 -9 252 189 425
83 -81 37 191 172 412 118 -3 17 184 162 403
84 7 31 364 210 396 119 53 -90 53 311 416
85 52 12 315 300 395 120 58 -19 241 345 403
86 83 -91 272 207 411 121 -83 84 131 238 399
87 -7 -92 333 306 396 122 -1 49 166 178 371
88 82 -74 63 198 390 123 -4 17 335 195 432
89 -70 85 203 294 356 124 -82 -3 252 240 416
90 -83 -30 391 155 378 125 -43 47 92 296 441
91 71 -61 410 236 412 126 6 -6 202 211 355
92 85 11 372 167 384 127 70 99 364 152 426
93 66 -48 120 250 374 128 68 -29 57 168 370
94 78 -87 302 297 439 129 -94 -30 84 206 420
95 9 -79 283 213 429 130 -94 -20 378 321 426
96 -36 4 144 150 387 131 -21 77 299 334 385
97 66 39 407 204 431 132 64 37 140 188 378
98 92 -17 91 196 377 133 -70 -19 364 151 353
99 -46 -79 179 211 363 134 88 65 173 179 427
100 -30 -63 234 325 411 135 2 29 325 177 371
101 -42 63 92 223 366 136 33 57 259 340 421
102 20 42 103 163 404 137 -70 6 116 251 435
103 15 98 168 283 440 138 -38 -56 78 186 413
104 1 -17 125 273 444 139 -80 -95 267 271 419
(cont.)
649
Table B.10 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
140 -5 -39 61 177 435 175 31 85 59 312 443
141 8 -22 444 207 379 176 25 58 228 248 376
142 -61 -76 439 293 427 177 -16 36 322 294 443
143 76 -22 291 331 427 178 91 15 243 280 396
144 49 -71 415 348 403 179 60 -39 67 172 371
145 -30 -68 429 346 367 180 49 -47 259 172 416
146 1 34 359 162 382 181 42 33 409 178 399
147 77 79 273 329 416 182 16 -81 416 338 361
148 -58 64 373 168 428 183 -78 53 111 237 390
149 82 -97 291 173 435 184 53 -80 415 173 362
150 -80 55 445 247 384 185 -46 -26 329 271 397
151 81 -86 374 281 379 186 -25 -54 132 331 411
152 39 -49 73 340 358 187 69 -46 217 164 350
153 -67 72 330 203 415 188 0 -78 78 309 419
154 -25 -89 244 234 369 189 -84 74 167 194 418
155 -44 -95 411 160 376 190 -16 16 238 310 363
156 32 -68 100 171 358 191 -63 -14 343 160 371
157 -17 49 105 344 423 192 51 -77 77 189 359
158 93 49 155 200 387 193 -39 61 310 150 400
159 99 81 162 231 395 194 5 97 347 281 403
160 10 -49 402 274 389 195 -55 39 309 264 353
161 63 -41 115 227 449 196 70 -14 371 226 357
162 38 39 239 349 410 197 0 95 449 180 430
163 -28 39 181 269 448 198 -45 7 97 161 361
164 -2 -47 100 253 385 199 38 -24 81 294 357
165 38 8 438 161 424 200 50 -37 221 150 417
166 -42 -6 140 289 387 201 59 71 301 271 393
167 -67 88 89 165 411 202 -73 -96 421 188 449
168 19 93 78 198 398 203 -29 72 401 264 420
169 40 27 204 282 413 204 -47 12 174 260 383
170 -61 56 131 288 432 205 -88 -61 123 197 352
171 43 33 284 172 379 206 -88 36 264 308 365
172 -18 -39 81 278 394 207 -46 -3 299 217 427
173 -69 19 348 199 418 208 26 -37 155 254 382
174 75 -18 293 281 365 209 -39 -67 75 276 409
(cont.)
650
Table B.10 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
210 92 27 333 233 378 231 -72 -87 134 270 379
211 -80 -31 276 307 403 232 -57 -84 87 333 388
212 93 -50 193 312 425 233 23 52 306 259 377
213 -20 -5 100 334 441 234 -56 -62 150 213 390
214 -22 73 122 291 381 235 -19 59 313 213 389
215 -4 -7 91 254 432 236 63 -14 149 171 383
216 54 -48 84 265 392 237 -13 38 443 309 360
217 -70 39 173 229 445 238 -19 87 423 292 418
218 54 -82 200 153 428 239 44 -84 99 340 435
219 29 41 343 197 388 240 98 -17 238 337 381
220 -87 51 114 335 424 241 -16 62 66 234 404
221 -96 -36 197 253 380 242 3 66 397 243 439
222 49 8 390 171 354 243 26 22 102 316 405
223 -5 54 389 302 371 244 -38 -81 274 294 402
224 -26 43 342 266 358 245 70 -80 366 177 442
225 -11 60 191 164 360 246 17 -35 250 348 433
226 40 61 237 198 370 247 96 -83 354 265 367
227 82 35 176 323 429 248 -77 80 263 269 390
228 -92 12 168 347 433 249 -14 44 418 171 359
229 -93 -86 445 344 373 250 33 -33 0 0 0
230 -66 63 399 244 368
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
651
Table B.11: Node locations and demands for MDSD8 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 70 0 0 0 0 35 37 -90 365 192 389
1 -99 -97 303 276 412 36 -83 49 381 229 370
2 -59 50 83 248 443 37 35 -1 370 334 416
3 0 14 370 183 376 38 7 59 193 252 366
4 -17 -66 337 237 425 39 12 48 254 261 426
5 -69 -19 213 150 420 40 57 95 178 242 445
6 31 12 281 330 400 41 92 28 194 293 372
7 5 -41 119 318 444 42 -3 97 269 213 448
8 -12 10 101 225 366 43 -7 52 219 169 370
9 -64 70 194 211 372 44 42 -15 404 263 447
10 -12 85 406 253 377 45 77 -43 274 251 350
11 -18 64 271 273 420 46 59 -49 403 287 390
12 -77 -16 251 247 395 47 25 91 346 247 420
13 -53 88 136 301 374 48 69 -19 293 271 438
14 83 -24 354 288 409 49 -82 -14 224 270 448
15 24 41 254 155 398 50 74 -70 418 205 400
16 17 21 181 334 383 51 69 59 166 277 419
17 42 96 245 156 416 52 29 33 56 303 434
18 -65 0 146 223 362 53 -97 9 411 188 425
19 -47 -26 279 308 417 54 -58 9 409 284 442
20 85 36 227 228 353 55 28 93 412 303 392
21 -35 -54 386 342 449 56 7 73 243 343 372
22 54 -21 159 282 371 57 -28 73 326 196 393
23 64 -17 301 192 355 58 -76 55 274 243 440
24 55 89 251 251 372 59 41 42 69 206 440
25 17 -25 395 274 421 60 92 40 56 333 369
26 -61 66 434 197 398 61 -84 -29 95 209 378
27 -61 26 160 184 366 62 -12 42 238 192 449
28 17 -72 267 250 394 63 51 -45 63 161 444
29 79 38 233 187 359 64 -37 46 131 327 393
30 -62 -2 59 213 437 65 -97 35 189 245 401
31 -90 -68 261 199 391 66 14 89 367 254 377
32 52 66 244 241 405 67 60 58 354 209 413
33 -54 -50 244 257 353 68 -63 -75 291 287 372
34 8 -84 260 257 434 69 -18 34 197 256 368
(cont.)
652
Table B.11 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 -46 -82 99 156 382 105 64 20 249 244 364
71 -86 -79 210 289 404 106 -96 85 323 236 357
72 -43 -30 203 321 389 107 93 -29 63 247 420
73 -44 7 130 232 407 108 -40 -84 70 241 439
74 -3 -20 191 273 420 109 86 35 446 316 410
75 36 41 400 346 392 110 91 36 93 205 401
76 -30 -94 225 288 355 111 62 -8 322 239 403
77 79 -62 302 228 441 112 -24 4 238 218 366
78 51 70 109 261 378 113 11 96 132 195 446
79 -61 -26 290 252 374 114 -53 62 177 336 416
80 6 94 382 151 433 115 -28 -71 306 152 375
81 -19 -62 77 310 350 116 7 -4 199 328 427
82 -20 51 57 344 369 117 95 -9 252 189 425
83 -81 37 191 172 412 118 -3 17 184 162 403
84 7 31 364 210 396 119 53 -90 53 311 416
85 52 12 315 300 395 120 58 -19 241 345 403
86 83 -91 272 207 411 121 -83 84 131 238 399
87 -7 -92 333 306 396 122 -1 49 166 178 371
88 82 -74 63 198 390 123 -4 17 335 195 432
89 -70 85 203 294 356 124 -82 -3 252 240 416
90 -83 -30 391 155 378 125 -43 47 92 296 441
91 71 -61 410 236 412 126 6 -6 202 211 355
92 85 11 372 167 384 127 70 99 364 152 426
93 66 -48 120 250 374 128 68 -29 57 168 370
94 78 -87 302 297 439 129 -94 -30 84 206 420
95 9 -79 283 213 429 130 -94 -20 378 321 426
96 -36 4 144 150 387 131 -21 77 299 334 385
97 66 39 407 204 431 132 64 37 140 188 378
98 92 -17 91 196 377 133 -70 -19 364 151 353
99 -46 -79 179 211 363 134 88 65 173 179 427
100 -30 -63 234 325 411 135 2 29 325 177 371
101 -42 63 92 223 366 136 33 57 259 340 421
102 20 42 103 163 404 137 -70 6 116 251 435
103 15 98 168 283 440 138 -38 -56 78 186 413
104 1 -17 125 273 444 139 -80 -95 267 271 419
(cont.)
653
Table B.11 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
140 -5 -39 61 177 435 175 31 85 59 312 443
141 8 -22 444 207 379 176 25 58 228 248 376
142 -61 -76 439 293 427 177 -16 36 322 294 443
143 76 -22 291 331 427 178 91 15 243 280 396
144 49 -71 415 348 403 179 60 -39 67 172 371
145 -30 -68 429 346 367 180 49 -47 259 172 416
146 1 34 359 162 382 181 42 33 409 178 399
147 77 79 273 329 416 182 16 -81 416 338 361
148 -58 64 373 168 428 183 -78 53 111 237 390
149 82 -97 291 173 435 184 53 -80 415 173 362
150 -80 55 445 247 384 185 -46 -26 329 271 397
151 81 -86 374 281 379 186 -25 -54 132 331 411
152 39 -49 73 340 358 187 69 -46 217 164 350
153 -67 72 330 203 415 188 0 -78 78 309 419
154 -25 -89 244 234 369 189 -84 74 167 194 418
155 -44 -95 411 160 376 190 -16 16 238 310 363
156 32 -68 100 171 358 191 -63 -14 343 160 371
157 -17 49 105 344 423 192 51 -77 77 189 359
158 93 49 155 200 387 193 -39 61 310 150 400
159 99 81 162 231 395 194 5 97 347 281 403
160 10 -49 402 274 389 195 -55 39 309 264 353
161 63 -41 115 227 449 196 70 -14 371 226 357
162 38 39 239 349 410 197 0 95 449 180 430
163 -28 39 181 269 448 198 -45 7 97 161 361
164 -2 -47 100 253 385 199 38 -24 81 294 357
165 38 8 438 161 424 200 50 -37 221 150 417
166 -42 -6 140 289 387 201 59 71 301 271 393
167 -67 88 89 165 411 202 -73 -96 421 188 449
168 19 93 78 198 398 203 -29 72 401 264 420
169 40 27 204 282 413 204 -47 12 174 260 383
170 -61 56 131 288 432 205 -88 -61 123 197 352
171 43 33 284 172 379 206 -88 36 264 308 365
172 -18 -39 81 278 394 207 -46 -3 299 217 427
173 -69 19 348 199 418 208 26 -37 155 254 382
174 75 -18 293 281 365 209 -39 -67 75 276 409
(cont.)
654
Table B.11 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
210 92 27 333 233 378 231 -72 -87 134 270 379
211 -80 -31 276 307 403 232 -57 -84 87 333 388
212 93 -50 193 312 425 233 23 52 306 259 377
213 -20 -5 100 334 441 234 -56 -62 150 213 390
214 -22 73 122 291 381 235 -19 59 313 213 389
215 -4 -7 91 254 432 236 63 -14 149 171 383
216 54 -48 84 265 392 237 -13 38 443 309 360
217 -70 39 173 229 445 238 -19 87 423 292 418
218 54 -82 200 153 428 239 44 -84 99 340 435
219 29 41 343 197 388 240 98 -17 238 337 381
220 -87 51 114 335 424 241 -16 62 66 234 404
221 -96 -36 197 253 380 242 3 66 397 243 439
222 49 8 390 171 354 243 26 22 102 316 405
223 -5 54 389 302 371 244 -38 -81 274 294 402
224 -26 43 342 266 358 245 70 -80 366 177 442
225 -11 60 191 164 360 246 17 -35 250 348 433
226 40 61 237 198 370 247 96 -83 354 265 367
227 82 35 176 323 429 248 -77 80 263 269 390
228 -92 12 168 347 433 249 -14 44 418 171 359
229 -93 -86 445 344 373 250 -50 60 0 0 0
230 -66 63 399 244 368 251 -50 -60 0 0 0
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
655
Table B.12: Node locations and demands for MDSD9 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 75 0 0 0 0 35 37 -90 365 192 389
1 -99 -97 303 276 412 36 -83 49 381 229 370
2 -59 50 83 248 443 37 35 -1 370 334 416
3 0 14 370 183 376 38 7 59 193 252 366
4 -17 -66 337 237 425 39 12 48 254 261 426
5 -69 -19 213 150 420 40 57 95 178 242 445
6 31 12 281 330 400 41 92 28 194 293 372
7 5 -41 119 318 444 42 -3 97 269 213 448
8 -12 10 101 225 366 43 -7 52 219 169 370
9 -64 70 194 211 372 44 42 -15 404 263 447
10 -12 85 406 253 377 45 77 -43 274 251 350
11 -18 64 271 273 420 46 59 -49 403 287 390
12 -77 -16 251 247 395 47 25 91 346 247 420
13 -53 88 136 301 374 48 69 -19 293 271 438
14 83 -24 354 288 409 49 -82 -14 224 270 448
15 24 41 254 155 398 50 74 -70 418 205 400
16 17 21 181 334 383 51 69 59 166 277 419
17 42 96 245 156 416 52 29 33 56 303 434
18 -65 0 146 223 362 53 -97 9 411 188 425
19 -47 -26 279 308 417 54 -58 9 409 284 442
20 85 36 227 228 353 55 28 93 412 303 392
21 -35 -54 386 342 449 56 7 73 243 343 372
22 54 -21 159 282 371 57 -28 73 326 196 393
23 64 -17 301 192 355 58 -76 55 274 243 440
24 55 89 251 251 372 59 41 42 69 206 440
25 17 -25 395 274 421 60 92 40 56 333 369
26 -61 66 434 197 398 61 -84 -29 95 209 378
27 -61 26 160 184 366 62 -12 42 238 192 449
28 17 -72 267 250 394 63 51 -45 63 161 444
29 79 38 233 187 359 64 -37 46 131 327 393
30 -62 -2 59 213 437 65 -97 35 189 245 401
31 -90 -68 261 199 391 66 14 89 367 254 377
32 52 66 244 241 405 67 60 58 354 209 413
33 -54 -50 244 257 353 68 -63 -75 291 287 372
34 8 -84 260 257 434 69 -18 34 197 256 368
(cont.)
656
Table B.12 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 -46 -82 99 156 382 105 64 20 249 244 364
71 -86 -79 210 289 404 106 -96 85 323 236 357
72 -43 -30 203 321 389 107 93 -29 63 247 420
73 -44 7 130 232 407 108 -40 -84 70 241 439
74 -3 -20 191 273 420 109 86 35 446 316 410
75 36 41 400 346 392 110 91 36 93 205 401
76 -30 -94 225 288 355 111 62 -8 322 239 403
77 79 -62 302 228 441 112 -24 4 238 218 366
78 51 70 109 261 378 113 11 96 132 195 446
79 -61 -26 290 252 374 114 -53 62 177 336 416
80 6 94 382 151 433 115 -28 -71 306 152 375
81 -19 -62 77 310 350 116 7 -4 199 328 427
82 -20 51 57 344 369 117 95 -9 252 189 425
83 -81 37 191 172 412 118 -3 17 184 162 403
84 7 31 364 210 396 119 53 -90 53 311 416
85 52 12 315 300 395 120 58 -19 241 345 403
86 83 -91 272 207 411 121 -83 84 131 238 399
87 -7 -92 333 306 396 122 -1 49 166 178 371
88 82 -74 63 198 390 123 -4 17 335 195 432
89 -70 85 203 294 356 124 -82 -3 252 240 416
90 -83 -30 391 155 378 125 -43 47 92 296 441
91 71 -61 410 236 412 126 6 -6 202 211 355
92 85 11 372 167 384 127 70 99 364 152 426
93 66 -48 120 250 374 128 68 -29 57 168 370
94 78 -87 302 297 439 129 -94 -30 84 206 420
95 9 -79 283 213 429 130 -94 -20 378 321 426
96 -36 4 144 150 387 131 -21 77 299 334 385
97 66 39 407 204 431 132 64 37 140 188 378
98 92 -17 91 196 377 133 -70 -19 364 151 353
99 -46 -79 179 211 363 134 88 65 173 179 427
100 -30 -63 234 325 411 135 2 29 325 177 371
101 -42 63 92 223 366 136 33 57 259 340 421
102 20 42 103 163 404 137 -70 6 116 251 435
103 15 98 168 283 440 138 -38 -56 78 186 413
104 1 -17 125 273 444 139 -80 -95 267 271 419
(cont.)
657
Table B.12 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
140 -5 -39 61 177 435 175 31 85 59 312 443
141 8 -22 444 207 379 176 25 58 228 248 376
142 -61 -76 439 293 427 177 -16 36 322 294 443
143 76 -22 291 331 427 178 91 15 243 280 396
144 49 -71 415 348 403 179 60 -39 67 172 371
145 -30 -68 429 346 367 180 49 -47 259 172 416
146 1 34 359 162 382 181 42 33 409 178 399
147 77 79 273 329 416 182 16 -81 416 338 361
148 -58 64 373 168 428 183 -78 53 111 237 390
149 82 -97 291 173 435 184 53 -80 415 173 362
150 -80 55 445 247 384 185 -46 -26 329 271 397
151 81 -86 374 281 379 186 -25 -54 132 331 411
152 39 -49 73 340 358 187 69 -46 217 164 350
153 -67 72 330 203 415 188 0 -78 78 309 419
154 -25 -89 244 234 369 189 -84 74 167 194 418
155 -44 -95 411 160 376 190 -16 16 238 310 363
156 32 -68 100 171 358 191 -63 -14 343 160 371
157 -17 49 105 344 423 192 51 -77 77 189 359
158 93 49 155 200 387 193 -39 61 310 150 400
159 99 81 162 231 395 194 5 97 347 281 403
160 10 -49 402 274 389 195 -55 39 309 264 353
161 63 -41 115 227 449 196 70 -14 371 226 357
162 38 39 239 349 410 197 0 95 449 180 430
163 -28 39 181 269 448 198 -45 7 97 161 361
164 -2 -47 100 253 385 199 38 -24 81 294 357
165 38 8 438 161 424 200 50 -37 221 150 417
166 -42 -6 140 289 387 201 59 71 301 271 393
167 -67 88 89 165 411 202 -73 -96 421 188 449
168 19 93 78 198 398 203 -29 72 401 264 420
169 40 27 204 282 413 204 -47 12 174 260 383
170 -61 56 131 288 432 205 -88 -61 123 197 352
171 43 33 284 172 379 206 -88 36 264 308 365
172 -18 -39 81 278 394 207 -46 -3 299 217 427
173 -69 19 348 199 418 208 26 -37 155 254 382
174 75 -18 293 281 365 209 -39 -67 75 276 409
(cont.)
658
Table B.12 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
210 92 27 333 233 378 232 -57 -84 87 333 388
211 -80 -31 276 307 403 233 23 52 306 259 377
212 93 -50 193 312 425 234 -56 -62 150 213 390
213 -20 -5 100 334 441 235 -19 59 313 213 389
214 -22 73 122 291 381 236 63 -14 149 171 383
215 -4 -7 91 254 432 237 -13 38 443 309 360
216 54 -48 84 265 392 238 -19 87 423 292 418
217 -70 39 173 229 445 239 44 -84 99 340 435
218 54 -82 200 153 428 240 98 -17 238 337 381
219 29 41 343 197 388 241 -16 62 66 234 404
220 -87 51 114 335 424 242 3 66 397 243 439
221 -96 -36 197 253 380 243 26 22 102 316 405
222 49 8 390 171 354 244 -38 -81 274 294 402
223 -5 54 389 302 371 245 70 -80 366 177 442
224 -26 43 342 266 358 246 17 -35 250 348 433
225 -11 60 191 164 360 247 96 -83 354 265 367
226 40 61 237 198 370 248 -77 80 263 269 390
227 82 35 176 323 429 249 -14 44 418 171 359
228 -92 12 168 347 433 250 0 75 0 0 0
229 -93 -86 445 344 373 251 -75 0 0 0 0
230 -66 63 399 244 368 252 0 -75 0 0 0
231 -72 -87 134 270 379
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
659
Table B.13: Node locations and demands for MDSD10 with three demand ranges.
No. x y D1 D2 D3 No. x y D1 D2 D3
0 70 0 0 0 0 35 37 -90 365 192 389
1 -99 -97 303 276 412 36 -83 49 381 229 370
2 -59 50 83 248 443 37 35 -1 370 334 416
3 0 14 370 183 376 38 7 59 193 252 366
4 -17 -66 337 237 425 39 12 48 254 261 426
5 -69 -19 213 150 420 40 57 95 178 242 445
6 31 12 281 330 400 41 92 28 194 293 372
7 5 -41 119 318 444 42 -3 97 269 213 448
8 -12 10 101 225 366 43 -7 52 219 169 370
9 -64 70 194 211 372 44 42 -15 404 263 447
10 -12 85 406 253 377 45 77 -43 274 251 350
11 -18 64 271 273 420 46 59 -49 403 287 390
12 -77 -16 251 247 395 47 25 91 346 247 420
13 -53 88 136 301 374 48 69 -19 293 271 438
14 83 -24 354 288 409 49 -82 -14 224 270 448
15 24 41 254 155 398 50 74 -70 418 205 400
16 17 21 181 334 383 51 69 59 166 277 419
17 42 96 245 156 416 52 29 33 56 303 434
18 -65 0 146 223 362 53 -97 9 411 188 425
19 -47 -26 279 308 417 54 -58 9 409 284 442
20 85 36 227 228 353 55 28 93 412 303 392
21 -35 -54 386 342 449 56 7 73 243 343 372
22 54 -21 159 282 371 57 -28 73 326 196 393
23 64 -17 301 192 355 58 -76 55 274 243 440
24 55 89 251 251 372 59 41 42 69 206 440
25 17 -25 395 274 421 60 92 40 56 333 369
26 -61 66 434 197 398 61 -84 -29 95 209 378
27 -61 26 160 184 366 62 -12 42 238 192 449
28 17 -72 267 250 394 63 51 -45 63 161 444
29 79 38 233 187 359 64 -37 46 131 327 393
30 -62 -2 59 213 437 65 -97 35 189 245 401
31 -90 -68 261 199 391 66 14 89 367 254 377
32 52 66 244 241 405 67 60 58 354 209 413
33 -54 -50 244 257 353 68 -63 -75 291 287 372
34 8 -84 260 257 434 69 -18 34 197 256 368
(cont.)
660
Table B.13 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
70 -46 -82 99 156 382 105 64 20 249 244 364
71 -86 -79 210 289 404 106 -96 85 323 236 357
72 -43 -30 203 321 389 107 93 -29 63 247 420
73 -44 7 130 232 407 108 -40 -84 70 241 439
74 -3 -20 191 273 420 109 86 35 446 316 410
75 36 41 400 346 392 110 91 36 93 205 401
76 -30 -94 225 288 355 111 62 -8 322 239 403
77 79 -62 302 228 441 112 -24 4 238 218 366
78 51 70 109 261 378 113 11 96 132 195 446
79 -61 -26 290 252 374 114 -53 62 177 336 416
80 6 94 382 151 433 115 -28 -71 306 152 375
81 -19 -62 77 310 350 116 7 -4 199 328 427
82 -20 51 57 344 369 117 95 -9 252 189 425
83 -81 37 191 172 412 118 -3 17 184 162 403
84 7 31 364 210 396 119 53 -90 53 311 416
85 52 12 315 300 395 120 58 -19 241 345 403
86 83 -91 272 207 411 121 -83 84 131 238 399
87 -7 -92 333 306 396 122 -1 49 166 178 371
88 82 -74 63 198 390 123 -4 17 335 195 432
89 -70 85 203 294 356 124 -82 -3 252 240 416
90 -83 -30 391 155 378 125 -43 47 92 296 441
91 71 -61 410 236 412 126 6 -6 202 211 355
92 85 11 372 167 384 127 70 99 364 152 426
93 66 -48 120 250 374 128 68 -29 57 168 370
94 78 -87 302 297 439 129 -94 -30 84 206 420
95 9 -79 283 213 429 130 -94 -20 378 321 426
96 -36 4 144 150 387 131 -21 77 299 334 385
97 66 39 407 204 431 132 64 37 140 188 378
98 92 -17 91 196 377 133 -70 -19 364 151 353
99 -46 -79 179 211 363 134 88 65 173 179 427
100 -30 -63 234 325 411 135 2 29 325 177 371
101 -42 63 92 223 366 136 33 57 259 340 421
102 20 42 103 163 404 137 -70 6 116 251 435
103 15 98 168 283 440 138 -38 -56 78 186 413
104 1 -17 125 273 444 139 -80 -95 267 271 419
(cont.)
661
Table B.13 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
140 -5 -39 61 177 435 175 31 85 59 312 443
141 8 -22 444 207 379 176 25 58 228 248 376
142 -61 -76 439 293 427 177 -16 36 322 294 443
143 76 -22 291 331 427 178 91 15 243 280 396
144 49 -71 415 348 403 179 60 -39 67 172 371
145 -30 -68 429 346 367 180 49 -47 259 172 416
146 1 34 359 162 382 181 42 33 409 178 399
147 77 79 273 329 416 182 16 -81 416 338 361
148 -58 64 373 168 428 183 -78 53 111 237 390
149 82 -97 291 173 435 184 53 -80 415 173 362
150 -80 55 445 247 384 185 -46 -26 329 271 397
151 81 -86 374 281 379 186 -25 -54 132 331 411
152 39 -49 73 340 358 187 69 -46 217 164 350
153 -67 72 330 203 415 188 0 -78 78 309 419
154 -25 -89 244 234 369 189 -84 74 167 194 418
155 -44 -95 411 160 376 190 -16 16 238 310 363
156 32 -68 100 171 358 191 -63 -14 343 160 371
157 -17 49 105 344 423 192 51 -77 77 189 359
158 93 49 155 200 387 193 -39 61 310 150 400
159 99 81 162 231 395 194 5 97 347 281 403
160 10 -49 402 274 389 195 -55 39 309 264 353
161 63 -41 115 227 449 196 70 -14 371 226 357
162 38 39 239 349 410 197 0 95 449 180 430
163 -28 39 181 269 448 198 -45 7 97 161 361
164 -2 -47 100 253 385 199 38 -24 81 294 357
165 38 8 438 161 424 200 50 -37 221 150 417
166 -42 -6 140 289 387 201 59 71 301 271 393
167 -67 88 89 165 411 202 -73 -96 421 188 449
168 19 93 78 198 398 203 -29 72 401 264 420
169 40 27 204 282 413 204 -47 12 174 260 383
170 -61 56 131 288 432 205 -88 -61 123 197 352
171 43 33 284 172 379 206 -88 36 264 308 365
172 -18 -39 81 278 394 207 -46 -3 299 217 427
173 -69 19 348 199 418 208 26 -37 155 254 382
174 75 -18 293 281 365 209 -39 -67 75 276 409
(cont.)
662
Table B.13 continued.
No. x y D1 D2 D3 No. x y D1 D2 D3
210 92 27 333 233 378 232 -57 -84 87 333 388
211 -80 -31 276 307 403 233 23 52 306 259 377
212 93 -50 193 312 425 234 -56 -62 150 213 390
213 -20 -5 100 334 441 235 -19 59 313 213 389
214 -22 73 122 291 381 236 63 -14 149 171 383
215 -4 -7 91 254 432 237 -13 38 443 309 360
216 54 -48 84 265 392 238 -19 87 423 292 418
217 -70 39 173 229 445 239 44 -84 99 340 435
218 54 -82 200 153 428 240 98 -17 238 337 381
219 29 41 343 197 388 241 -16 62 66 234 404
220 -87 51 114 335 424 242 3 66 397 243 439
221 -96 -36 197 253 380 243 26 22 102 316 405
222 49 8 390 171 354 244 -38 -81 274 294 402
223 -5 54 389 302 371 245 70 -80 366 177 442
224 -26 43 342 266 358 246 17 -35 250 348 433
225 -11 60 191 164 360 247 96 -83 354 265 367
226 40 61 237 198 370 248 -77 80 263 269 390
227 82 35 176 323 429 249 -14 44 418 171 359
228 -92 12 168 347 433 250 40 80 0 0 0
229 -93 -86 445 344 373 251 40 -80 0 0 0
230 -66 63 399 244 368 252 -60 20 0 0 0
231 -72 -87 134 270 379 253 -60 -20 0 0 0
Note: D1, D2, and D3 are demands for ranges [.1, .9], [.3, .7], and [.7, .9], respectively.
Table B.14: Node locations and demands for SQ1.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 9 -20 -20 90 18 32 0 60 27 22 20 95
1 -10 -10 90 10 -20 0 60 19 32 10 90 28 42 -20 60
2 -10 0 60 11 -20 20 90 20 42 -10 60 29 42 20 60
3 -10 10 90 12 0 -20 60 21 42 10 60 30 62 -20 90
4 0 -10 60 13 0 20 60 22 52 -10 90 31 62 0 60
5 0 10 60 14 20 -20 85 23 52 0 60 32 62 20 90
6 10 -10 90 15 20 0 55 24 52 10 90 33 42 0 0
7 10 0 60 16 20 20 85 25 22 -20 95
8 10 10 90 17 32 -10 90 26 22 0 65
663
Table B.15: Node locations and demands for Problem SQ2.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 13 0 20 60 26 22 0 65 39 52 42 60
1 -10 -10 90 14 20 -20 85 27 22 20 95 40 52 52 90
2 -10 0 60 15 20 0 55 28 42 -20 60 41 22 22 90
3 -10 10 90 16 20 20 85 29 42 20 65 42 22 42 60
4 0 -10 60 17 32 -10 90 30 62 -20 90 43 22 62 90
5 0 10 60 18 32 0 60 31 62 0 60 44 42 22 55
6 10 -10 90 19 32 10 90 32 62 20 95 45 42 62 60
7 10 0 60 20 42 -10 60 33 32 32 90 46 62 22 85
8 10 10 90 21 42 10 60 34 32 42 60 47 62 42 60
9 -20 -20 90 22 52 -10 90 35 32 52 90 48 62 62 90
10 -20 0 60 23 52 0 60 36 42 32 60 49 42 0 0
11 -20 20 90 24 52 10 90 37 42 52 60 50 42 42 0
12 0 -20 60 25 22 -20 95 38 52 32 90
Table B.16: Node locations and demands for Problem SQ3.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 17 32 -10 90 34 32 42 60 51 -10 52 90
1 -10 -10 90 18 32 0 60 35 32 52 90 52 0 32 60
2 -10 0 60 19 32 10 90 36 42 32 60 53 0 52 60
3 -10 10 90 20 42 -10 60 37 42 52 60 54 10 32 90
4 0 -10 60 21 42 10 60 38 52 32 90 55 10 42 60
5 0 10 60 22 52 -10 90 39 52 42 60 56 10 52 90
6 10 -10 90 23 52 0 60 40 52 52 90 57 -20 22 95
7 10 0 60 24 52 10 90 41 22 22 85 58 -20 42 60
8 10 10 90 25 22 -20 95 42 22 42 55 59 -20 62 90
9 -20 -20 90 26 22 0 65 43 22 62 85 60 0 22 65
10 -20 0 60 27 22 20 95 44 42 22 55 61 0 62 60
11 -20 20 85 28 42 -20 60 45 42 62 60 62 20 22 95
12 0 -20 60 29 42 20 65 46 62 22 85 63 20 42 65
13 0 20 55 30 62 -20 90 47 62 42 60 64 20 62 95
14 20 -20 85 31 62 0 60 48 62 62 90 65 42 0 0
15 20 0 55 32 62 20 95 49 -10 32 90 66 42 42 0
16 20 20 85 33 32 32 90 50 -10 42 60 67 0 42 0
664
Table B.17: Node locations and demands for Problem SQ4.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 22 52 -10 90 44 42 22 55 66 74 0 60
1 -10 -10 90 23 52 0 60 45 42 62 60 67 74 10 90
2 -10 0 60 24 52 10 90 46 62 22 90 68 84 -10 60
3 -10 10 90 25 22 -20 95 47 62 42 60 69 84 10 60
4 0 -10 60 26 22 0 65 48 62 62 90 70 94 -10 90
5 0 10 60 27 22 20 95 49 -10 32 90 71 94 0 60
6 10 -10 90 28 42 -20 60 50 -10 42 60 72 94 10 90
7 10 0 60 29 42 20 65 51 -10 52 90 73 64 -20 85
8 10 10 90 30 62 -20 95 52 0 32 60 74 64 0 55
9 -20 -20 90 31 62 0 65 53 0 52 60 75 64 20 85
10 -20 0 60 32 62 20 95 54 10 32 90 76 84 -20 60
11 -20 20 85 33 32 32 90 55 10 42 60 77 84 20 60
12 0 -20 60 34 32 42 60 56 10 52 90 78 104 -20 90
13 0 20 55 35 32 52 90 57 -20 22 95 79 104 0 60
14 20 -20 85 36 42 32 60 58 -20 42 60 80 104 20 90
15 20 0 55 37 42 52 60 59 -20 62 90 81 42 0 0
16 20 20 85 38 52 32 90 60 0 22 65 82 42 42 0
17 32 -10 90 39 52 42 60 61 0 62 60 83 0 42 0
18 32 0 60 40 52 52 90 62 20 22 95 84 84 0 0
19 32 10 90 41 22 22 85 63 20 42 65
20 42 -10 60 42 22 42 55 64 20 62 95
21 42 10 60 43 22 62 85 65 74 -10 90
665
Table B.18: Node locations and demands for Problem SQ5.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 17 -30 -30 90 34 72 0 60 51 52 30 90
1 -10 -10 90 18 -30 0 60 35 72 10 90 52 82 -30 60
2 -10 0 60 19 -30 30 90 36 82 -10 60 53 82 30 60
3 -10 10 90 20 0 -30 60 37 82 10 60 54 112 -30 90
4 0 -10 60 21 0 30 60 38 92 -10 90 55 112 0 60
5 0 10 60 22 30 -30 90 39 92 0 60 56 112 30 90
6 10 -10 90 23 30 0 60 40 92 10 90 57 42 -40 95
7 10 0 60 24 30 30 90 41 62 -20 90 58 42 0 65
8 10 10 90 25 -40 -40 90 42 62 0 60 59 42 40 95
9 -20 -20 90 26 -40 0 60 43 62 20 90 60 82 -40 60
10 -20 0 60 27 -40 40 90 44 82 -20 60 61 82 40 60
11 -20 20 90 28 0 -40 60 45 82 20 60 62 122 -40 90
12 0 -20 60 29 0 40 60 46 102 -20 90 63 122 0 60
13 0 20 60 30 40 -40 85 47 102 0 60 64 122 40 90
14 20 -20 90 31 40 0 55 48 102 20 90 65 82 0 0
15 20 0 60 32 40 40 85 49 52 -30 90
16 20 20 90 33 72 -10 90 50 52 0 60
666
Table B.19: Node locations and demands for Problem SQ6.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 25 -40 -40 90 50 52 0 60 75 62 102 90
1 -10 -10 90 26 -40 0 60 51 52 30 90 76 82 62 60
2 -10 0 60 27 -40 40 90 52 82 -30 60 77 82 102 60
3 -10 10 90 28 0 -40 60 53 82 30 60 78 102 62 90
4 0 -10 60 29 0 40 60 54 112 -30 90 79 102 82 60
5 0 10 60 30 40 -40 85 55 112 0 60 80 102 102 90
6 10 -10 90 31 40 0 55 56 112 30 90 81 52 52 90
7 10 0 60 32 40 40 85 57 42 -40 95 82 52 82 60
8 10 10 90 33 72 -10 90 58 42 0 65 83 52 112 90
9 -20 -20 90 34 72 0 60 59 42 40 95 84 82 52 60
10 -20 0 60 35 72 10 90 60 82 -40 60 85 82 112 60
11 -20 20 90 36 82 -10 60 61 82 40 65 86 112 52 90
12 0 -20 60 37 82 10 60 62 122 -40 90 87 112 82 60
13 0 20 60 38 92 -10 90 63 122 0 60 88 112 112 90
14 20 -20 90 39 92 0 60 64 122 40 95 89 42 42 90
15 20 0 60 40 92 10 90 65 72 72 90 90 42 82 60
16 20 20 90 41 62 -20 90 66 72 82 60 91 42 122 90
17 -30 -30 90 42 62 0 60 67 72 92 90 92 82 42 55
18 -30 0 60 43 62 20 90 68 82 72 60 93 82 122 60
19 -30 30 90 44 82 -20 60 69 82 92 60 94 122 42 85
20 0 -30 60 45 82 20 60 70 92 72 90 95 122 82 60
21 0 30 60 46 102 -20 90 71 92 82 60 96 122 122 90
22 30 -30 90 47 102 0 60 72 92 92 90 97 82 0 0
23 30 0 60 48 102 20 90 73 62 62 90 98 82 82 0
24 30 30 90 49 52 -30 90 74 62 82 60
667
Table B.20: Node locations and demands for Problem SQ7.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 33 72 -10 90 66 72 82 60 99 -10 92 90
1 -10 -10 90 34 72 0 60 67 72 92 90 100 0 72 60
2 -10 0 60 35 72 10 90 68 82 72 60 101 0 92 60
3 -10 10 90 36 82 -10 60 69 82 92 60 102 10 72 90
4 0 -10 60 37 82 10 60 70 92 72 90 103 10 82 60
5 0 10 60 38 92 -10 90 71 92 82 60 104 10 92 90
6 10 -10 90 39 92 0 60 72 92 92 90 105 -20 62 90
7 10 0 60 40 92 10 90 73 62 62 90 106 -20 82 60
8 10 10 90 41 62 -20 90 74 62 82 60 107 -20 102 90
9 -20 -20 90 42 62 0 60 75 62 102 90 108 0 62 60
10 -20 0 60 43 62 20 90 76 82 62 60 109 0 102 60
11 -20 20 90 44 82 -20 60 77 82 102 60 110 20 62 90
12 0 -20 60 45 82 20 60 78 102 62 90 111 20 82 60
13 0 20 60 46 102 -20 90 79 102 82 60 112 20 102 90
14 20 -20 90 47 102 0 60 80 102 102 90 113 -30 52 90
15 20 0 60 48 102 20 90 81 52 52 90 114 -30 82 60
16 20 20 90 49 52 -30 90 82 52 82 60 115 -30 112 90
17 -30 -30 90 50 52 0 60 83 52 112 90 116 0 52 60
18 -30 0 60 51 52 30 90 84 82 52 60 117 0 112 60
19 -30 30 90 52 82 -30 60 85 82 112 60 118 30 52 90
20 0 -30 60 53 82 30 60 86 112 52 90 119 30 82 60
21 0 30 60 54 112 -30 90 87 112 82 60 120 30 112 90
22 30 -30 90 55 112 0 60 88 112 112 90 121 -40 42 95
23 30 0 60 56 112 30 90 89 42 42 85 122 -40 82 60
24 30 30 90 57 42 -40 95 90 42 82 55 123 -40 122 90
25 -40 -40 90 58 42 0 65 91 42 122 85 124 0 42 65
26 -40 0 60 59 42 40 95 92 82 42 55 125 0 122 60
27 -40 40 85 60 82 -40 60 93 82 122 60 126 40 42 95
28 0 -40 60 61 82 40 65 94 122 42 85 127 40 82 65
29 0 40 55 62 122 -40 90 95 122 82 60 128 40 122 95
30 40 -40 85 63 122 0 60 96 122 122 90 129 82 0 0
31 40 0 55 64 122 40 95 97 -10 72 90 130 82 82 0
32 40 40 85 65 72 72 90 98 -10 82 60 131 0 82 0
668
Table B.21: Node locations and demands for Problem SQ8.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 35 72 10 90 70 92 72 90 105 -20 62 90
1 -10 -10 90 36 82 -10 60 71 92 82 60 106 -20 82 60
2 -10 0 60 37 82 10 60 72 92 92 90 107 -20 102 90
3 -10 10 90 38 92 -10 90 73 62 62 90 108 0 62 60
4 0 -10 60 39 92 0 60 74 62 82 60 109 0 102 60
5 0 10 60 40 92 10 90 75 62 102 90 110 20 62 90
6 10 -10 90 41 62 -20 90 76 82 62 60 111 20 82 60
7 10 0 60 42 62 0 60 77 82 102 60 112 20 102 90
8 10 10 90 43 62 20 90 78 102 62 90 113 -30 52 90
9 -20 -20 90 44 82 -20 60 79 102 82 60 114 -30 82 60
10 -20 0 60 45 82 20 60 80 102 102 90 115 -30 112 90
11 -20 20 90 46 102 -20 90 81 52 52 90 116 0 52 60
12 0 -20 60 47 102 0 60 82 52 82 60 117 0 112 60
13 0 20 60 48 102 20 90 83 52 112 90 118 30 52 90
14 20 -20 90 49 52 -30 90 84 82 52 60 119 30 82 60
15 20 0 60 50 52 0 60 85 82 112 60 120 30 112 90
16 20 20 90 51 52 30 90 86 112 52 90 121 -40 42 95
17 -30 -30 90 52 82 -30 60 87 112 82 60 122 -40 82 60
18 -30 0 60 53 82 30 60 88 112 112 90 123 -40 122 90
19 -30 30 90 54 112 -30 90 89 42 42 85 124 0 42 65
20 0 -30 60 55 112 0 60 90 42 82 55 125 0 122 60
21 0 30 60 56 112 30 90 91 42 122 85 126 40 42 95
22 30 -30 90 57 42 -40 95 92 82 42 55 127 40 82 65
23 30 0 60 58 42 0 65 93 82 122 60 128 40 122 95
24 30 30 90 59 42 40 95 94 122 42 90 129 154 -10 90
25 -40 -40 90 60 82 -40 60 95 122 82 60 130 154 0 60
26 -40 0 60 61 82 40 65 96 122 122 90 131 154 10 90
27 -40 40 85 62 122 -40 95 97 -10 72 90 132 164 -10 60
28 0 -40 60 63 122 0 65 98 -10 82 60 133 164 10 60
29 0 40 55 64 122 40 95 99 -10 92 90 134 174 -10 90
30 40 -40 85 65 72 72 90 100 0 72 60 135 174 0 60
31 40 0 55 66 72 82 60 101 0 92 60 136 174 10 90
32 40 40 85 67 72 92 90 102 10 72 90 137 144 -20 90
33 72 -10 90 68 82 72 60 103 10 82 60 138 144 0 60
34 72 0 60 69 82 92 60 104 10 92 90 139 144 20 90
(cont.)
669
Table B.21 continued.
No. x y D No. x y D No. x y D No. x y D
140 164 -20 60 147 134 30 90 154 124 0 55 161 82 0 0
141 164 20 60 148 164 -30 60 155 124 40 85 162 82 82 0
142 184 -20 90 149 164 30 60 156 164 -40 60 163 0 82 0
143 184 0 60 150 194 -30 90 157 164 40 60 164 164 0 0
144 184 20 90 151 194 0 60 158 204 -40 90
145 134 -30 90 152 194 30 90 159 204 0 60
146 134 0 60 153 124 -40 85 160 204 40 90
Table B.22: Node locations and demands for Problem SQ9.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 25 -40 -40 90 50 112 0 60 75 82 40 90
1 -10 -10 90 26 -40 0 60 51 112 10 90 76 122 -40 60
2 -10 0 60 27 -40 40 90 52 122 -10 60 77 122 40 60
3 -10 10 90 28 0 -40 60 53 122 10 60 78 162 -40 90
4 0 -10 60 29 0 40 60 54 132 -10 90 79 162 0 60
5 0 10 60 30 40 -40 90 55 132 0 60 80 162 40 90
6 10 -10 90 31 40 0 60 56 132 10 90 81 72 -50 90
7 10 0 60 32 40 40 90 57 102 -20 90 82 72 0 60
8 10 10 90 33 -50 -50 90 58 102 0 60 83 72 50 90
9 -20 -20 90 34 -50 0 60 59 102 20 90 84 122 -50 60
10 -20 0 60 35 -50 50 90 60 122 -20 60 85 122 50 60
11 -20 20 90 36 0 -50 60 61 122 20 60 86 172 -50 90
12 0 -20 60 37 0 50 60 62 142 -20 90 87 172 0 60
13 0 20 60 38 50 -50 90 63 142 0 60 88 172 50 90
14 20 -20 90 39 50 0 60 64 142 20 90 89 62 -60 95
15 20 0 60 40 50 50 90 65 92 -30 90 90 62 0 65
16 20 20 90 41 -60 -60 90 66 92 0 60 91 62 60 95
17 -30 -30 90 42 -60 0 60 67 92 30 90 92 122 -60 60
18 -30 0 60 43 -60 60 90 68 122 -30 60 93 122 60 60
19 -30 30 90 44 0 -60 60 69 122 30 60 94 182 -60 90
20 0 -30 60 45 0 60 60 70 152 -30 90 95 182 0 60
21 0 30 60 46 60 -60 85 71 152 0 60 96 182 60 90
22 30 -30 90 47 60 0 55 72 152 30 90 97 122 0 0
23 30 0 60 48 60 60 85 73 82 -40 90
24 30 30 90 49 112 -10 90 74 82 0 60
670
Table B.23: Node locations and demands for Problem SQ10.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 37 0 50 60 74 82 0 60 111 142 122 60
1 -10 -10 90 38 50 -50 90 75 82 40 90 112 142 142 90
2 -10 0 60 39 50 0 60 76 122 -40 60 113 92 92 90
3 -10 10 90 40 50 50 90 77 122 40 60 114 92 122 60
4 0 -10 60 41 -60 -60 90 78 162 -40 90 115 92 152 90
5 0 10 60 42 -60 0 60 79 162 0 60 116 122 92 60
6 10 -10 90 43 -60 60 90 80 162 40 90 117 122 152 60
7 10 0 60 44 0 -60 60 81 72 -50 90 118 152 92 90
8 10 10 90 45 0 60 60 82 72 0 60 119 152 122 60
9 -20 -20 90 46 60 -60 85 83 72 50 90 120 152 152 90
10 -20 0 60 47 60 0 55 84 122 -50 60 121 82 82 90
11 -20 20 90 48 60 60 85 85 122 50 60 122 82 122 60
12 0 -20 60 49 112 -10 90 86 172 -50 90 123 82 162 90
13 0 20 60 50 112 0 60 87 172 0 60 124 122 82 60
14 20 -20 90 51 112 10 90 88 172 50 90 125 122 162 60
15 20 0 60 52 122 -10 60 89 62 -60 95 126 162 82 90
16 20 20 90 53 122 10 60 90 62 0 65 127 162 122 60
17 -30 -30 90 54 132 -10 90 91 62 60 95 128 162 162 90
18 -30 0 60 55 132 0 60 92 122 -60 60 129 72 72 90
19 -30 30 90 56 132 10 90 93 122 60 65 130 72 122 60
20 0 -30 60 57 102 -20 90 94 182 -60 90 131 72 172 90
21 0 30 60 58 102 0 60 95 182 0 60 132 122 72 60
22 30 -30 90 59 102 20 90 96 182 60 95 133 122 172 60
23 30 0 60 60 122 -20 60 97 112 112 90 134 172 72 90
24 30 30 90 61 122 20 60 98 112 122 60 135 172 122 60
25 -40 -40 90 62 142 -20 90 99 112 132 90 136 172 172 90
26 -40 0 60 63 142 0 60 100 122 112 60 137 62 62 90
27 -40 40 90 64 142 20 90 101 122 132 60 138 62 122 60
28 0 -40 60 65 92 -30 90 102 132 112 90 139 62 182 90
29 0 40 60 66 92 0 60 103 132 122 60 140 122 62 55
30 40 -40 90 67 92 30 90 104 132 132 90 141 122 182 60
31 40 0 60 68 122 -30 60 105 102 102 90 142 182 62 85
32 40 40 90 69 122 30 60 106 102 122 60 143 182 122 60
33 -50 -50 90 70 152 -30 90 107 102 142 90 144 182 182 90
34 -50 0 60 71 152 0 60 108 122 102 60 145 122 0 0
35 -50 50 90 72 152 30 90 109 122 142 60 146 122 122 0
36 0 -50 60 73 82 -40 90 110 142 102 90
671
Table B.24: Node locations and demands for Problem SQ11.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 35 -50 50 90 70 152 -30 90 105 102 102 90
1 -10 -10 90 36 0 -50 60 71 152 0 60 106 102 122 60
2 -10 0 60 37 0 50 60 72 152 30 90 107 102 142 90
3 -10 10 90 38 50 -50 90 73 82 -40 90 108 122 102 60
4 0 -10 60 39 50 0 60 74 82 0 60 109 122 142 60
5 0 10 60 40 50 50 90 75 82 40 90 110 142 102 90
6 10 -10 90 41 -60 -60 90 76 122 -40 60 111 142 122 60
7 10 0 60 42 -60 0 60 77 122 40 60 112 142 142 90
8 10 10 90 43 -60 60 85 78 162 -40 90 113 92 92 90
9 -20 -20 90 44 0 -60 60 79 162 0 60 114 92 122 60
10 -20 0 60 45 0 60 55 80 162 40 90 115 92 152 90
11 -20 20 90 46 60 -60 85 81 72 -50 90 116 122 92 60
12 0 -20 60 47 60 0 55 82 72 0 60 117 122 152 60
13 0 20 60 48 60 60 85 83 72 50 90 118 152 92 90
14 20 -20 90 49 112 -10 90 84 122 -50 60 119 152 122 60
15 20 0 60 50 112 0 60 85 122 50 60 120 152 152 90
16 20 20 90 51 112 10 90 86 172 -50 90 121 82 82 90
17 -30 -30 90 52 122 -10 60 87 172 0 60 122 82 122 60
18 -30 0 60 53 122 10 60 88 172 50 90 123 82 162 90
19 -30 30 90 54 132 -10 90 89 62 -60 95 124 122 82 60
20 0 -30 60 55 132 0 60 90 62 0 65 125 122 162 60
21 0 30 60 56 132 10 90 91 62 60 95 126 162 82 90
22 30 -30 90 57 102 -20 90 92 122 -60 60 127 162 122 60
23 30 0 60 58 102 0 60 93 122 60 65 128 162 162 90
24 30 30 90 59 102 20 90 94 182 -60 90 129 72 72 90
25 -40 -40 90 60 122 -20 60 95 182 0 60 130 72 122 60
26 -40 0 60 61 122 20 60 96 182 60 95 131 72 172 90
27 -40 40 90 62 142 -20 90 97 112 112 90 132 122 72 60
28 0 -40 60 63 142 0 60 98 112 122 60 133 122 172 60
29 0 40 60 64 142 20 90 99 112 132 90 134 172 72 90
30 40 -40 90 65 92 -30 90 100 122 112 60 135 172 122 60
31 40 0 60 66 92 0 60 101 122 132 60 136 172 172 90
32 40 40 90 67 92 30 90 102 132 112 90 137 62 62 85
33 -50 -50 90 68 122 -30 60 103 132 122 60 138 62 122 55
34 -50 0 60 69 122 30 60 104 132 132 90 139 62 182 85
(cont.)
672
Table B.24 continued.
No. x y D No. x y D No. x y D No. x y D
140 122 62 55 154 -20 122 60 168 30 152 90 182 50 72 90
141 122 182 60 155 -20 142 90 169 -40 82 90 183 50 122 60
142 182 62 85 156 0 102 60 170 -40 122 60 184 50 172 90
143 182 122 60 157 0 142 60 171 -40 162 90 185 -60 62 95
144 182 182 90 158 20 102 90 172 0 82 60 186 -60 122 60
145 -10 112 90 159 20 122 60 173 0 162 60 187 -60 182 90
146 -10 122 60 160 20 142 90 174 40 82 90 188 0 62 65
147 -10 132 90 161 -30 92 90 175 40 122 60 189 0 182 60
148 0 112 60 162 -30 122 60 176 40 162 90 190 60 62 95
149 0 132 60 163 -30 152 90 177 -50 72 90 191 60 122 65
150 10 112 90 164 0 92 60 178 -50 122 60 192 60 182 95
151 10 122 60 165 0 152 60 179 -50 172 90 193 122 0 0
152 10 132 90 166 30 92 90 180 0 72 60 194 122 122 0
153 -20 102 90 167 30 122 60 181 0 172 60 195 0 122 0
673
Table B.25: Node locations and demands for Problem SQ12.
No. x y D No. x y D No. x y D No. x y D
0 0 0 0 35 -50 50 90 70 152 -30 90 105 102 102 90
1 -10 -10 90 36 0 -50 60 71 152 0 60 106 102 122 60
2 -10 0 60 37 0 50 60 72 152 30 90 107 102 142 90
3 -10 10 90 38 50 -50 90 73 82 -40 90 108 122 102 60
4 0 -10 60 39 50 0 60 74 82 0 60 109 122 142 60
5 0 10 60 40 50 50 90 75 82 40 90 110 142 102 90
6 10 -10 90 41 -60 -60 90 76 122 -40 60 111 142 122 60
7 10 0 60 42 -60 0 60 77 122 40 60 112 142 142 90
8 10 10 90 43 -60 60 85 78 162 -40 90 113 92 92 90
9 -20 -20 90 44 0 -60 60 79 162 0 60 114 92 122 60
10 -20 0 60 45 0 60 55 80 162 40 90 115 92 152 90
11 -20 20 90 46 60 -60 85 81 72 -50 90 116 122 92 60
12 0 -20 60 47 60 0 55 82 72 0 60 117 122 152 60
13 0 20 60 48 60 60 85 83 72 50 90 118 152 92 90
14 20 -20 90 49 112 -10 90 84 122 -50 60 119 152 122 60
15 20 0 60 50 112 0 60 85 122 50 60 120 152 152 90
16 20 20 90 51 112 10 90 86 172 -50 90 121 82 82 90
17 -30 -30 90 52 122 -10 60 87 172 0 60 122 82 122 60
18 -30 0 60 53 122 10 60 88 172 50 90 123 82 162 90
19 -30 30 90 54 132 -10 90 89 62 -60 95 124 122 82 60
20 0 -30 60 55 132 0 60 90 62 0 65 125 122 162 60
21 0 30 60 56 132 10 90 91 62 60 95 126 162 82 90
22 30 -30 90 57 102 -20 90 92 122 -60 60 127 162 122 60
23 30 0 60 58 102 0 60 93 122 60 65 128 162 162 90
24 30 30 90 59 102 20 90 94 182 -60 95 129 72 72 90
25 -40 -40 90 60 122 -20 60 95 182 0 65 130 72 122 60
26 -40 0 60 61 122 20 60 96 182 60 95 131 72 172 90
27 -40 40 90 62 142 -20 90 97 112 112 90 132 122 72 60
28 0 -40 60 63 142 0 60 98 112 122 60 133 122 172 60
29 0 40 60 64 142 20 90 99 112 132 90 134 172 72 90
30 40 -40 90 65 92 -30 90 100 122 112 60 135 172 122 60
31 40 0 60 66 92 0 60 101 122 132 60 136 172 172 90
32 40 40 90 67 92 30 90 102 132 112 90 137 62 62 85
33 -50 -50 90 68 122 -30 60 103 132 122 60 138 62 122 55
34 -50 0 60 69 122 30 60 104 132 132 90 139 62 182 85
(cont.)
674
Table B.25 continued.
No. x y D No. x y D No. x y D No. x y D
140 122 62 55 167 30 122 60 194 234 0 60 221 244 40 60
141 122 182 60 168 30 152 90 195 234 10 90 222 284 -40 90
142 182 62 90 169 -40 82 90 196 244 -10 60 223 284 0 60
143 182 122 60 170 -40 122 60 197 244 10 60 224 284 40 90
144 182 182 90 171 -40 162 90 198 254 -10 90 225 194 -50 90
145 -10 112 90 172 0 82 60 199 254 0 60 226 194 0 60
146 -10 122 60 173 0 162 60 200 254 10 90 227 194 50 90
147 -10 132 90 174 40 82 90 201 224 -20 90 228 244 -50 60
148 0 112 60 175 40 122 60 202 224 0 60 229 244 50 60
149 0 132 60 176 40 162 90 203 224 20 90 230 294 -50 90
150 10 112 90 177 -50 72 90 204 244 -20 60 231 294 0 60
151 10 122 60 178 -50 122 60 205 244 20 60 232 294 50 90
152 10 132 90 179 -50 172 90 206 264 -20 90 233 184 -60 85
153 -20 102 90 180 0 72 60 207 264 0 60 234 184 0 55
154 -20 122 60 181 0 172 60 208 264 20 90 235 184 60 85
155 -20 142 90 182 50 72 90 209 214 -30 90 236 244 -60 60
156 0 102 60 183 50 122 60 210 214 0 60 237 244 60 60
157 0 142 60 184 50 172 90 211 214 30 90 238 304 -60 90
158 20 102 90 185 -60 62 95 212 244 -30 60 239 304 0 60
159 20 122 60 186 -60 122 60 213 244 30 60 240 304 60 90
160 20 142 90 187 -60 182 90 214 274 -30 90 241 122 0 0
161 -30 92 90 188 0 62 65 215 274 0 60 242 122 122 0
162 -30 122 60 189 0 182 60 216 274 30 90 243 0 122 0
163 -30 152 90 190 60 62 95 217 204 -40 90 244 244 0 0
164 0 92 60 191 60 122 65 218 204 0 60
165 0 152 60 192 60 182 95 219 204 40 90
166 30 92 90 193 234 -10 90 220 244 -40 60
675
Table B.26: IDH solution to MDSD1 with demand range [.1, .9].
Route Load Distance
1 0 4(70) 0 70 12.00
2 0 19(23) 13(57) 0 80 40.13
3 0 37(34) 17(45) 0 79 24.88
4 0 40(66) 19(5) 0 71 41.05
5 0 42(34) 44(43) 0 77 31.53
6 0 41(71) 0 71 20.88
7 51(0) 27(33) 1(47) 51(0) 80 29.95
8 51(0) 14(7) 24(65) 51(0) 72 53.94
9 51(0) 23(9) 7(33) 43(9) 25(29) 51(0) 80 89.31
10 51(0) 14(57) 18(23) 51(0) 80 43.17
11 51(0) 31(43) 8(34) 27(3) 51(0) 80 61.09
12 51(0) 1(9) 28(42) 22(15) 11(13) 51(0) 79 68.14
13 51(0) 26(45) 48(13) 6(20) 51(0) 78 61.66
14 51(0) 27(18) 32(62) 51(0) 80 26.25
15 51(0) 12(54) 46(16) 51(0) 70 17.37
16 51(0) 47(62) 46(18) 51(0) 80 21.57
17 52(0) 5(66) 52(0) 66 20.00
18 52(0) 9(56) 52(0) 56 7.21
19 52(0) 10(66) 52(0) 66 18.11
20 52(0) 45(20) 15(60) 52(0) 80 49.33
21 52(0) 16(62) 38(18) 52(0) 80 27.47
22 52(0) 33(41) 45(23) 49(16) 52(0) 80 50.35
23 52(0) 30(25) 34(26) 50(23) 52(0) 74 30.87
24 52(0) 49(15) 39(59) 52(0) 74 37.35
25 53(0) 2(49) 21(16) 53(0) 65 34.06
26 53(0) 35(25) 3(55) 53(0) 80 39.33
27 53(0) 20(49) 53(0) 49 17.09
28 53(0) 29(66) 53(0) 66 5.66
29 53(0) 36(57) 35(18) 53(0) 75 38.47
Total Distance 1018.22
676
Table B.27: IDH solution to MDSD2 with demand range [.1, .9].
Route Load Distance
1 0 4(3) 52(57) 34(37) 67(43) 0 140 31.80
2 0 68(48) 6(92) 0 140 21.60
3 0 75(111) 0 111 6.00
4 0 46(122) 34(18) 0 140 23.42
5 0 26(84) 0 84 12.17
6 0 68(45) 4(93) 0 138 21.63
7 76(0) 36(77) 47(5) 48(47) 76(0) 129 27.61
8 76(0) 15(46) 57(37) 13(57) 76(0) 140 42.64
9 76(0) 20(61) 37(79) 76(0) 140 36.18
10 76(0) 30(24) 2(17) 28(55) 61(34) 76(0) 130 56.42
11 76(0) 60(123) 37(11) 76(0) 134 46.71
12 76(0) 29(121) 76(0) 121 8.94
13 76(0) 21(112) 76(0) 112 21.63
14 76(0) 45(122) 76(0) 122 16.00
15 76(0) 5(75) 76(0) 75 10.77
16 76(0) 27(76) 52(64) 76(0) 140 33.62
17 76(0) 47(30) 69(110) 76(0) 140 36.00
18 76(0) 70(97) 71(39) 76(0) 136 48.11
19 76(0) 48(46) 74(93) 76(0) 139 20.50
20 77(0) 8(87) 7(45) 77(0) 132 24.14
21 77(0) 38(23) 10(26) 58(91) 77(0) 140 42.41
22 77(0) 66(34) 11(85) 77(0) 119 34.40
23 77(0) 35(57) 54(48) 19(26) 77(0) 131 38.50
24 77(0) 65(67) 38(73) 77(0) 140 34.41
25 77(0) 53(124) 77(0) 124 4.00
26 77(0) 14(21) 59(95) 77(0) 116 35.40
27 78(0) 32(17) 50(117) 78(0) 134 31.03
28 78(0) 44(52) 3(60) 78(0) 112 12.00
29 78(0) 12(34) 72(68) 39(38) 78(0) 140 41.47
30 78(0) 49(36) 16(104) 78(0) 140 33.83
31 78(0) 51(70) 17(41) 78(0) 111 21.68
32 78(0) 25(45) 18(95) 78(0) 140 51.35
33 78(0) 49(20) 24(116) 78(0) 136 39.95
(cont.)
677
Table B.27 continued.
Route Load Distance
34 78(0) 40(118) 78(0) 118 14.14
35 78(0) 55(115) 25(20) 78(0) 135 58.99
36 78(0) 31(65) 39(69) 78(0) 134 63.42
37 78(0) 9(117) 78(0) 117 28.07
38 79(0) 22(60) 1(80) 79(0) 140 21.90
39 79(0) 64(99) 42(15) 79(0) 114 32.62
40 79(0) 1(2) 33(17) 63(112) 79(0) 131 26.97
41 79(0) 23(36) 56(79) 41(8) 79(0) 123 36.42
42 79(0) 41(57) 43(83) 79(0) 140 17.14
43 79(0) 62(27) 73(100) 79(0) 127 23.06
Total Distance 1289.06
678
Table B.28: IDH solution to MDSD3 with demand range [.1, .9].
Route Load Distance
1 0 2(89) 0 89 6.00
2 0 22(48) 74(42) 0 90 30.34
3 0 57(34) 41(65) 0 99 34.49
4 0 100(17) 91(52) 85(12) 98(18) 0 99 42.64
5 0 37(15) 16(77) 91(8) 0 100 50.12
6 0 87(29) 44(71) 0 100 49.48
7 0 73(67) 21(31) 0 98 22.65
8 0 75(28) 55(58) 54(14) 0 100 67.34
9 0 40(13) 58(23) 13(64) 0 100 24.35
10 0 44(13) 38(87) 0 100 69.10
11 0 67(56) 23(31) 75(8) 0 95 72.47
12 0 56(23) 39(59) 72(18) 0 100 52.95
13 0 86(58) 61(29) 93(13) 0 100 64.53
14 0 87(14) 15(66) 57(16) 0 96 36.26
15 0 92(23) 93(18) 99(53) 0 94 36.61
16 0 97(12) 59(54) 95(32) 0 98 29.82
17 0 43(29) 14(43) 42(24) 0 96 54.26
18 0 40(14) 25(62) 4(21) 0 97 62.57
19 101(0) 88(53) 62(38) 52(9) 101(0) 100 52.17
20 101(0) 81(41) 9(6) 66(53) 101(0) 100 88.40
21 101(0) 62(4) 11(6) 64(37) 49(53) 101(0) 100 103.22
22 101(0) 82(57) 8(42) 101(0) 99 55.98
23 101(0) 47(46) 48(51) 101(0) 97 68.41
24 101(0) 90(49) 32(24) 70(26) 101(0) 99 70.97
25 101(0) 77(14) 50(8) 1(59) 69(14) 101(0) 95 49.87
26 101(0) 51(39) 30(61) 101(0) 100 61.64
27 101(0) 48(16) 36(69) 19(11) 101(0) 96 86.42
28 101(0) 31(79) 27(16) 101(0) 95 35.11
29 101(0) 9(19) 65(76) 101(0) 95 100.33
30 101(0) 10(88) 101(0) 88 50.99
31 101(0) 80(15) 29(34) 3(49) 101(0) 98 62.38
32 101(0) 83(37) 60(49) 89(14) 101(0) 100 43.39
33 101(0) 50(7) 81(20) 33(73) 101(0) 100 55.19
(cont.)
679
Table B.28 continued.
Route Load Distance
34 101(0) 51(33) 20(64) 101(0) 97 66.61
35 101(0) 5(56) 84(34) 101(0) 90 49.07
36 101(0) 46(87) 18(13) 101(0) 100 70.98
37 101(0) 3(7) 79(87) 50(6) 101(0) 100 52.99
38 101(0) 54(30) 68(34) 12(31) 101(0) 95 55.06
39 101(0) 53(52) 101(0) 52 8.94
40 101(0) 96(65) 89(32) 101(0) 97 33.21
41 101(0) 63(70) 11(30) 101(0) 100 76.53
42 101(0) 34(34) 78(66) 101(0) 100 72.12
43 101(0) 94(85) 101(0) 85 24.08
44 101(0) 6(16) 17(53) 45(27) 18(4) 101(0) 100 69.20
45 101(0) 71(69) 35(31) 101(0) 100 87.41
46 101(0) 52(16) 7(84) 101(0) 100 42.43
47 101(0) 77(48) 76(52) 101(0) 100 39.47
48 101(0) 26(30) 28(55) 101(0) 85 25.57
49 101(0) 80(16) 24(81) 101(0) 97 60.31
Total Distance 2624.41
680
Table B.29: IDH solution to MDSD4 with demand range [.1, .9].
Route Load Distance
1 0 84(21) 17(179) 0 200 22.92
2 0 94(153) 6(33) 0 186 27.94
3 0 100(129) 44(60) 16(11) 0 200 47.22
4 0 61(30) 86(161) 0 191 41.65
5 0 83(114) 0 114 4.47
6 0 90(71) 64(125) 0 196 96.65
7 0 14(97) 42(87) 0 184 58.92
8 0 60(114) 0 114 4.47
9 0 93(128) 59(32) 99(40) 0 200 26.93
10 0 8(44) 19(148) 0 192 52.15
11 0 85(171) 0 171 26.08
12 0 99(69) 96(131) 0 200 23.16
13 0 57(174) 95(26) 0 200 57.36
14 0 11(62) 63(137) 0 199 74.53
15 0 45(63) 84(126) 0 189 23.75
16 0 52(91) 6(109) 0 200 38.76
17 0 16(50) 38(149) 0 199 63.25
18 0 31(44) 10(75) 88(73) 0 192 60.60
19 0 93(18) 37(172) 0 190 31.69
20 0 62(125) 7(61) 0 186 49.45
21 0 89(39) 13(42) 95(81) 96(38) 0 200 41.74
22 0 18(173) 0 173 14.14
23 0 93(24) 98(176) 0 200 29.12
24 0 48(135) 82(65) 0 200 34.50
25 0 49(80) 36(48) 46(45) 0 173 73.53
26 0 82(57) 47(132) 0 189 45.54
27 0 59(39) 92(161) 0 200 29.53
28 0 5(178) 0 178 10.00
29 0 97(125) 87(75) 0 200 42.85
30 0 91(35) 43(111) 15(49) 0 195 74.71
31 101(0) 55(28) 25(163) 101(0) 191 36.06
32 101(0) 21(43) 73(29) 2(113) 101(0) 185 57.10
33 101(0) 53(58) 58(63) 40(31) 101(0) 152 45.69
(cont.)
681
Table B.29 continued.
Route Load Distance
34 101(0) 55(112) 4(88) 101(0) 200 37.97
35 101(0) 34(21) 65(133) 71(46) 101(0) 200 87.92
36 101(0) 26(176) 101(0) 176 22.36
37 101(0) 30(10) 32(54) 20(136) 101(0) 200 81.84
38 101(0) 66(150) 71(44) 9(6) 101(0) 200 81.15
39 101(0) 72(121) 74(7) 73(71) 101(0) 199 49.34
40 101(0) 67(28) 23(130) 56(40) 101(0) 198 74.68
41 101(0) 50(7) 51(90) 9(53) 78(50) 101(0) 200 59.95
42 101(0) 74(36) 22(36) 41(73) 75(55) 101(0) 200 63.98
43 101(0) 79(28) 81(164) 3(8) 101(0) 200 38.48
44 101(0) 30(66) 70(68) 1(66) 101(0) 200 62.02
45 101(0) 69(15) 27(49) 28(116) 101(0) 180 49.76
46 101(0) 80(34) 77(163) 101(0) 197 17.19
47 101(0) 24(163) 101(0) 163 20.00
48 101(0) 34(46) 35(154) 101(0) 200 63.61
49 101(0) 76(1) 1(52) 69(147) 101(0) 200 45.96
50 101(0) 54(125) 12(66) 101(0) 191 20.54
51 101(0) 29(112) 68(56) 101(0) 168 24.07
52 101(0) 39(111) 56(89) 101(0) 200 53.62
53 101(0) 76(62) 50(138) 101(0) 200 29.03
54 101(0) 78(17) 33(138) 3(45) 101(0) 200 43.31
Total Distance 2393.23
682
Table B.30: IDH solution to MDSD5 with demand range [.1, .9].
Route Load Distance
1 0 94(48) 13(27) 95(19) 92(6) 0 100 33.50
2 0 93(11) 83(74) 84(13) 0 98 37.01
3 0 92(35) 59(65) 0 100 16.73
4 0 37(77) 0 77 10.00
5 0 17(61) 84(39) 0 100 31.93
6 0 84(22) 45(68) 5(8) 0 98 42.35
7 0 14(66) 44(34) 0 100 22.87
8 0 44(33) 86(60) 0 93 26.45
9 0 97(42) 95(58) 0 100 23.82
10 0 100(81) 0 81 7.21
11 0 60(61) 5(39) 0 100 28.61
12 0 98(88) 0 88 8.25
13 0 16(57) 61(34) 0 91 14.47
14 0 57(57) 87(40) 0 97 39.15
15 0 96(55) 6(32) 99(13) 0 100 28.36
16 0 85(85) 0 85 4.47
17 0 57(25) 15(36) 42(25) 91(14) 0 100 47.69
18 0 38(11) 43(83) 0 94 54.93
19 101(0) 41(23) 22(76) 101(0) 99 30.69
20 101(0) 24(69) 55(31) 101(0) 100 46.72
21 101(0) 29(58) 68(37) 12(2) 101(0) 97 56.83
22 101(0) 56(29) 67(56) 39(10) 101(0) 95 46.90
23 101(0) 74(21) 72(50) 101(0) 71 16.22
24 101(0) 26(18) 53(78) 101(0) 96 36.27
25 101(0) 4(26) 25(41) 55(30) 101(0) 97 31.95
26 101(0) 56(11) 23(71) 75(11) 101(0) 93 33.36
27 101(0) 26(32) 28(68) 101(0) 100 38.48
28 101(0) 40(69) 101(0) 69 22.36
29 101(0) 12(36) 54(64) 101(0) 100 35.62
30 101(0) 21(9) 2(63) 73(28) 101(0) 100 31.15
31 101(0) 21(14) 58(79) 101(0) 93 31.05
32 101(0) 68(26) 80(74) 101(0) 100 39.95
33 102(0) 52(88) 102(0) 88 28.84
(cont.)
683
Table B.30 continued.
Route Load Distance
34 102(0) 48(12) 46(75) 8(13) 102(0) 100 71.07
35 102(0) 70(35) 30(57) 102(0) 92 14.31
36 102(0) 31(39) 7(60) 102(0) 99 31.99
37 102(0) 90(52) 10(48) 102(0) 100 26.79
38 102(0) 62(16) 19(39) 48(43) 102(0) 98 51.07
39 102(0) 66(32) 65(67) 102(0) 99 71.23
40 102(0) 10(19) 64(65) 63(16) 102(0) 100 60.29
41 102(0) 51(57) 9(38) 102(0) 95 41.26
42 102(0) 11(14) 49(42) 36(35) 102(0) 91 74.67
43 102(0) 50(47) 76(45) 102(0) 92 38.91
44 102(0) 18(76) 102(0) 76 42.43
45 102(0) 32(80) 90(17) 102(0) 97 31.12
46 102(0) 71(24) 35(68) 9(6) 102(0) 98 62.31
47 102(0) 1(23) 69(16) 27(17) 89(44) 102(0) 100 52.46
48 102(0) 20(70) 30(30) 102(0) 100 28.28
49 102(0) 88(15) 82(84) 102(0) 99 43.11
50 102(0) 48(25) 47(75) 102(0) 100 55.63
51 102(0) 33(4) 78(52) 34(42) 102(0) 98 61.25
52 102(0) 81(14) 3(32) 77(18) 1(36) 102(0) 100 53.76
53 102(0) 79(71) 33(29) 102(0) 100 46.99
Total Distance 1963.13
684
Table B.31: IDH solution to MDSD6 with demand range [.1, .9].
Route Load Distance
1 0 5(88) 0 88 10.00
2 0 83(74) 0 74 4.47
3 0 84(85) 0 85 11.31
4 0 18(35) 89(17) 60(20) 0 72 26.17
5 0 91(24) 16(76) 0 100 36.91
6 0 99(23) 59(77) 0 100 25.06
7 0 61(83) 0 83 22.80
8 0 19(5) 49(45) 47(41) 0 91 71.34
9 0 45(26) 17(25) 86(49) 0 100 49.84
10 0 85(46) 93(19) 99(30) 0 95 28.99
11 0 47(11) 36(89) 0 100 57.53
12 0 8(36) 48(23) 82(29) 0 88 36.31
13 0 45(10) 46(84) 0 94 38.64
14 0 99(29) 96(43) 6(28) 0 100 27.95
15 101(0) 77(14) 79(64) 78(22) 101(0) 100 38.33
16 101(0) 29(13) 34(64) 78(23) 101(0) 100 47.47
17 101(0) 81(72) 33(28) 101(0) 100 38.95
18 101(0) 3(61) 12(39) 101(0) 100 26.18
19 101(0) 4(16) 55(42) 54(40) 101(0) 98 38.35
20 101(0) 26(26) 28(70) 101(0) 96 33.38
21 101(0) 55(14) 25(86) 101(0) 100 36.06
22 101(0) 24(46) 68(14) 80(31) 101(0) 91 24.08
23 101(0) 76(33) 50(22) 33(37) 77(3) 101(0) 95 39.66
24 102(0) 23(44) 22(52) 102(0) 96 50.32
25 102(0) 13(3) 98(60) 37(37) 102(0) 100 35.19
26 102(0) 41(87) 102(0) 87 29.53
27 102(0) 94(43) 13(57) 102(0) 100 22.94
28 102(0) 97(3) 38(38) 14(41) 102(0) 82 69.20
29 102(0) 2(17) 74(66) 72(17) 102(0) 100 30.52
30 102(0) 40(71) 58(29) 102(0) 100 17.28
31 102(0) 58(20) 53(76) 102(0) 96 22.36
32 102(0) 42(35) 43(64) 102(0) 99 43.47
33 102(0) 14(29) 44(71) 102(0) 100 52.76
(cont.)
685
Table B.31 continued.
Route Load Distance
34 102(0) 73(87) 102(0) 87 18.97
35 102(0) 2(16) 15(70) 57(11) 102(0) 97 31.82
36 102(0) 97(22) 95(78) 102(0) 100 23.82
37 102(0) 92(16) 98(11) 100(73) 102(0) 100 36.59
38 102(0) 21(86) 40(14) 102(0) 100 24.14
39 102(0) 39(19) 67(77) 102(0) 96 71.49
40 102(0) 87(82) 102(0) 82 14.56
41 102(0) 56(64) 75(29) 22(7) 102(0) 100 42.09
42 103(0) 30(34) 70(62) 103(0) 96 22.50
43 103(0) 19(70) 62(30) 103(0) 100 45.18
44 103(0) 66(56) 71(22) 9(20) 103(0) 98 66.97
45 103(0) 10(27) 90(61) 70(12) 103(0) 100 37.11
46 103(0) 64(80) 11(11) 62(9) 103(0) 100 68.26
47 103(0) 31(17) 88(74) 103(0) 91 18.69
48 103(0) 7(41) 52(53) 103(0) 94 35.53
49 103(0) 20(49) 30(51) 103(0) 100 36.28
50 103(0) 71(23) 65(50) 35(14) 9(13) 103(0) 100 82.56
51 103(0) 32(13) 63(84) 103(0) 97 47.62
52 103(0) 50(66) 27(33) 69(1) 103(0) 100 37.15
53 103(0) 69(41) 1(59) 103(0) 100 14.16
54 103(0) 51(87) 9(13) 103(0) 100 44.81
Total Distance 1963.68
686
Table B.32: IDH solution to MDSD7 with demand range [.1, .9].
Route Load Distance
1 0 65(189) 206(264) 83(47) 0 500 128.32
2 0 47(10) 55(412) 168(78) 0 500 174.03
3 0 118(184) 123(306) 0 490 68.12
4 0 211(276) 90(224) 0 500 163.00
5 0 66(164) 47(336) 0 500 166.31
6 0 194(347) 10(123) 214(30) 0 500 152.35
7 0 163(82) 157(105) 235(313) 0 500 62.40
8 0 214(92) 131(125) 10(283) 0 500 113.73
9 0 224(342) 163(99) 0 441 24.49
10 0 225(160) 241(66) 11(271) 0 497 77.48
11 0 170(114) 189(121) 248(263) 0 498 139.04
12 0 195(309) 217(31) 27(160) 0 500 82.48
13 0 30(59) 12(251) 5(77) 191(105) 0 492 138.08
14 0 147(273) 40(178) 24(49) 0 500 255.48
15 0 146(359) 135(141) 0 500 74.34
16 0 8(101) 3(370) 123(29) 0 500 81.91
17 0 121(131) 106(323) 189(46) 0 500 166.18
18 0 79(290) 19(208) 0 498 139.95
19 0 78(109) 127(364) 223(7) 0 480 248.92
20 0 213(100) 185(329) 19(71) 0 500 135.22
21 0 228(79) 130(378) 61(43) 0 500 188.42
22 0 249(418) 0 418 43.91
23 0 122(166) 62(238) 0 404 71.66
24 0 66(10) 103(168) 113(132) 80(182) 0 492 164.42
25 0 203(77) 238(423) 0 500 113.02
26 0 69(20) 75(400) 219(80) 0 500 139.00
27 0 58(219) 183(111) 83(144) 0 474 115.57
28 0 43(103) 242(397) 0 500 98.24
29 0 64(131) 193(135) 101(92) 114(142) 0 500 78.61
30 0 217(142) 173(348) 0 490 96.13
31 0 207(299) 166(140) 0 439 83.30
32 0 82(57) 56(243) 38(193) 0 493 118.74
33 0 220(114) 36(381) 0 495 113.89
(cont.)
687
Table B.32 continued.
Route Load Distance
34 0 43(116) 223(382) 0 498 70.03
35 0 150(445) 58(55) 0 500 104.20
36 0 175(53) 17(245) 24(202) 0 500 217.09
37 0 9(72) 89(203) 167(89) 13(136) 0 500 141.19
38 0 201(301) 175(6) 66(193) 0 500 221.42
39 0 26(434) 0 434 86.56
40 0 176(228) 136(259) 0 487 141.45
41 0 225(31) 80(200) 42(269) 0 500 153.01
42 0 133(364) 5(136) 0 500 128.07
43 0 69(177) 177(322) 0 499 35.12
44 0 193(175) 203(324) 0 499 82.71
45 0 131(174) 57(326) 0 500 93.98
46 0 96(144) 73(130) 198(97) 204(83) 0 454 69.32
47 0 135(48) 15(254) 102(103) 39(87) 0 492 121.85
48 0 129(84) 221(197) 61(52) 90(167) 0 500 189.75
49 0 135(136) 84(364) 0 500 80.66
50 0 114(35) 9(122) 153(330) 0 487 104.17
51 0 237(443) 0 443 41.23
52 0 16(181) 52(56) 219(263) 0 500 138.90
53 0 53(411) 228(89) 0 500 136.81
54 0 125(92) 148(373) 0 465 79.70
55 0 32(244) 226(237) 0 481 182.37
56 0 197(449) 0 449 140.47
57 0 2(83) 170(17) 230(399) 0 499 90.59
58 0 204(91) 54(409) 0 500 71.30
59 0 124(252) 49(224) 0 476 139.70
60 0 233(306) 39(167) 0 473 118.27
61 0 137(116) 18(146) 191(238) 0 500 123.51
62 0 190(238) 112(238) 0 476 68.83
63 250(0) 67(354) 132(140) 250(0) 494 192.86
64 250(0) 246(250) 25(250) 250(0) 500 44.01
65 250(0) 46(403) 216(84) 250(0) 487 61.43
66 250(0) 179(67) 107(63) 240(238) 98(91) 250(0) 459 142.27
(cont.)
688
Table B.32 continued.
Route Load Distance
67 250(0) 99(179) 70(99) 244(222) 250(0) 500 188.18
68 250(0) 140(61) 142(439) 250(0) 500 208.96
69 250(0) 212(193) 77(302) 250(0) 495 135.18
70 250(0) 97(407) 250(0) 407 158.40
71 250(0) 172(81) 81(77) 4(337) 250(0) 495 138.75
72 250(0) 186(30) 71(155) 1(303) 250(0) 488 296.51
73 250(0) 196(371) 23(94) 250(0) 465 83.19
74 250(0) 76(225) 154(244) 250(0) 469 175.39
75 250(0) 100(62) 145(429) 250(0) 491 146.85
76 250(0) 208(98) 160(402) 250(0) 500 56.08
77 250(0) 20(227) 29(233) 250(0) 460 177.32
78 250(0) 164(22) 100(172) 115(306) 250(0) 500 150.06
79 250(0) 171(284) 181(113) 243(102) 250(0) 499 142.61
80 250(0) 25(145) 104(125) 74(191) 250(0) 461 79.05
81 250(0) 218(115) 245(366) 250(0) 481 129.25
82 250(0) 151(83) 86(272) 119(53) 218(85) 250(0) 493 168.28
83 250(0) 141(444) 250(0) 444 54.63
84 250(0) 232(87) 139(267) 231(134) 250(0) 488 258.33
85 250(0) 222(205) 6(281) 250(0) 486 107.49
86 250(0) 169(204) 181(296) 250(0) 500 133.34
87 250(0) 23(207) 48(293) 250(0) 500 78.90
88 250(0) 34(260) 28(183) 250(0) 443 113.95
89 250(0) 134(173) 159(162) 158(155) 250(0) 490 265.96
90 250(0) 117(252) 178(243) 250(0) 495 166.10
91 250(0) 71(55) 229(445) 250(0) 500 274.17
92 250(0) 94(94) 149(291) 239(99) 250(0) 484 173.40
93 250(0) 165(438) 250(0) 438 82.61
94 250(0) 28(84) 182(416) 250(0) 500 102.13
95 250(0) 187(217) 45(274) 250(0) 491 91.94
96 250(0) 41(194) 110(93) 60(56) 109(130) 250(0) 473 191.08
97 250(0) 186(102) 21(386) 250(0) 488 142.85
98 250(0) 35(365) 156(100) 250(0) 465 114.72
99 250(0) 199(81) 44(404) 250(0) 485 40.27
(cont.)
689
Table B.32 continued.
Route Load Distance
100 250(0) 88(63) 247(354) 91(83) 250(0) 500 161.04
101 250(0) 105(249) 92(215) 250(0) 464 152.37
102 250(0) 128(57) 14(354) 143(84) 250(0) 495 102.70
103 250(0) 92(157) 210(333) 250(0) 490 169.73
104 250(0) 227(176) 109(316) 250(0) 492 174.03
105 250(0) 91(82) 50(418) 250(0) 500 111.92
106 250(0) 144(415) 152(73) 250(0) 488 82.49
107 250(0) 184(415) 192(77) 250(0) 492 102.22
108 250(0) 155(411) 108(70) 250(0) 481 199.61
109 250(0) 234(105) 31(261) 205(123) 250(0) 489 259.61
110 250(0) 143(207) 174(293) 250(0) 500 93.11
111 250(0) 215(91) 126(202) 116(199) 250(0) 492 96.46
112 250(0) 37(370) 250(0) 370 64.12
113 250(0) 22(159) 120(241) 63(63) 250(0) 463 77.22
114 250(0) 209(75) 68(291) 234(45) 138(78) 250(0) 489 213.29
115 250(0) 222(185) 85(315) 250(0) 500 97.86
116 250(0) 151(291) 94(208) 250(0) 499 144.96
117 250(0) 162(239) 59(69) 51(166) 250(0) 474 207.97
118 250(0) 208(57) 188(78) 87(333) 250(0) 468 143.54
119 250(0) 95(283) 164(78) 7(119) 250(0) 480 124.06
120 250(0) 91(245) 93(120) 161(115) 250(0) 480 99.79
121 250(0) 180(259) 200(221) 250(0) 480 48.77
122 250(0) 236(149) 111(322) 250(0) 471 79.88
123 250(0) 72(203) 33(244) 250(0) 447 187.53
124 250(0) 202(421) 244(52) 250(0) 473 247.09
Total Distance 16096.91
690
Table B.33: IDH solution to MDSD8 with demand range [.1, .9].
Route Load Distance
1 0 179(67) 46(403) 0 470 100.53
2 0 201(6) 40(178) 17(245) 175(59) 0 488 220.04
3 0 174(55) 14(354) 98(91) 0 500 67.89
4 0 144(415) 216(84) 0 499 148.17
5 0 171(91) 181(409) 0 500 86.92
6 0 184(134) 245(366) 0 500 178.79
7 0 78(90) 24(251) 201(159) 0 500 182.24
8 0 32(244) 78(19) 226(237) 0 500 154.72
9 0 109(446) 0 446 76.97
10 0 165(219) 37(281) 0 500 77.49
11 0 25(68) 104(125) 74(191) 215(91) 0 475 168.86
12 0 236(100) 120(241) 22(159) 0 500 53.60
13 0 187(217) 45(274) 0 491 98.12
14 0 151(374) 94(126) 0 500 177.23
15 0 48(47) 128(57) 91(30) 50(366) 0 500 140.82
16 0 107(63) 247(354) 88(63) 0 480 182.71
17 0 117(252) 240(238) 0 490 67.87
18 0 111(322) 0 322 22.63
19 0 23(184) 196(316) 0 500 38.74
20 0 210(76) 41(194) 110(93) 227(137) 0 500 89.95
21 0 92(372) 0 372 37.20
22 0 25(46) 141(444) 0 490 133.87
23 0 212(193) 77(302) 0 495 136.13
24 0 67(354) 132(140) 0 494 117.72
25 0 44(404) 0 404 63.53
26 0 91(380) 93(120) 0 500 123.10
27 0 15(2) 176(228) 136(259) 0 489 154.67
28 0 236(49) 23(117) 48(246) 174(84) 0 496 48.96
29 0 199(17) 246(250) 152(73) 63(63) 200(97) 0 500 152.55
30 0 178(243) 210(257) 0 500 72.68
31 0 52(56) 233(306) 102(103) 243(35) 0 500 153.07
32 0 85(315) 105(156) 0 471 56.94
33 0 156(100) 35(365) 192(22) 0 487 198.87
(cont.)
691
Table B.33 continued.
Route Load Distance
34 0 20(227) 227(39) 29(233) 0 499 85.46
35 0 222(390) 0 390 44.94
36 0 184(281) 218(200) 0 481 167.57
37 0 127(364) 201(136) 0 500 200.93
38 0 169(47) 162(239) 171(193) 0 479 102.97
39 0 59(69) 75(400) 0 469 109.40
40 0 15(252) 16(181) 243(67) 0 500 141.06
41 0 192(55) 239(99) 119(53) 149(291) 0 498 227.60
42 0 200(124) 180(259) 161(115) 0 498 108.93
43 0 196(55) 143(291) 174(154) 0 500 46.80
44 0 6(281) 165(219) 0 500 81.85
45 0 126(202) 116(199) 37(89) 0 490 129.69
46 0 60(56) 147(273) 51(166) 0 495 167.99
47 0 158(155) 159(162) 134(173) 0 490 173.55
48 0 105(93) 97(407) 0 500 79.19
49 0 50(52) 94(176) 86(272) 0 500 185.91
50 0 169(157) 219(343) 0 500 116.15
51 0 199(64) 208(155) 25(281) 0 500 131.29
52 250(0) 146(328) 122(166) 250(0) 494 122.60
53 250(0) 190(190) 8(101) 213(100) 112(109) 250(0) 500 151.41
54 250(0) 114(66) 26(434) 250(0) 500 25.08
55 250(0) 9(70) 248(263) 189(167) 250(0) 500 79.59
56 250(0) 224(342) 64(131) 250(0) 473 59.92
57 250(0) 27(91) 54(409) 250(0) 500 104.62
58 250(0) 101(92) 10(406) 250(0) 498 91.23
59 250(0) 183(111) 36(381) 250(0) 492 70.05
60 250(0) 206(175) 65(189) 220(114) 250(0) 478 110.95
61 250(0) 38(193) 39(254) 250(0) 447 132.24
62 250(0) 170(101) 230(399) 250(0) 500 36.59
63 250(0) 146(31) 84(364) 157(105) 250(0) 500 128.74
64 250(0) 249(213) 43(219) 241(66) 250(0) 498 97.54
65 250(0) 11(94) 242(397) 250(0) 491 106.68
66 250(0) 193(310) 250(0) 310 22.09
(cont.)
692
Table B.33 continued.
Route Load Distance
67 250(0) 53(411) 206(89) 250(0) 500 142.76
68 250(0) 42(266) 197(234) 250(0) 500 124.45
69 250(0) 57(201) 131(299) 250(0) 500 67.23
70 250(0) 69(178) 177(322) 250(0) 500 85.68
71 250(0) 80(97) 194(347) 42(3) 250(0) 447 136.49
72 250(0) 83(191) 58(274) 170(30) 250(0) 495 84.02
73 250(0) 2(83) 195(309) 125(92) 250(0) 484 54.35
74 250(0) 114(111) 148(373) 250(0) 484 17.93
75 250(0) 69(19) 118(102) 123(335) 250(0) 456 127.87
76 250(0) 11(177) 235(313) 250(0) 490 68.36
77 250(0) 89(203) 167(89) 13(136) 250(0) 428 78.42
78 250(0) 150(445) 250(0) 445 60.83
79 250(0) 47(258) 168(78) 113(132) 57(26) 250(0) 494 166.85
80 250(0) 225(103) 223(389) 250(0) 492 92.88
81 250(0) 118(82) 3(370) 190(48) 250(0) 500 139.68
82 250(0) 103(168) 56(243) 225(88) 250(0) 499 162.75
83 250(0) 9(124) 153(330) 250(0) 454 41.62
84 250(0) 57(99) 203(401) 250(0) 500 51.15
85 250(0) 214(122) 66(367) 250(0) 489 140.53
86 250(0) 124(252) 228(168) 217(75) 250(0) 495 152.52
87 250(0) 238(423) 250(0) 423 82.22
88 250(0) 112(129) 96(144) 73(130) 198(97) 250(0) 500 136.52
89 250(0) 106(323) 121(131) 250(0) 454 106.20
90 250(0) 27(47) 173(348) 217(98) 250(0) 493 95.39
91 250(0) 249(34) 62(238) 163(181) 250(0) 453 88.92
92 250(0) 204(157) 30(59) 18(146) 137(116) 27(22) 250(0) 500 137.69
93 250(0) 249(171) 135(325) 250(0) 496 121.87
94 250(0) 237(443) 82(57) 250(0) 500 89.13
95 250(0) 197(215) 80(285) 250(0) 500 132.63
96 250(0) 204(17) 207(299) 166(140) 250(0) 456 134.61
97 250(0) 55(412) 47(88) 250(0) 500 169.45
98 251(0) 71(210) 31(261) 251(0) 471 93.20
99 251(0) 68(74) 202(421) 251(0) 495 85.83
(cont.)
693
Table B.33 continued.
Route Load Distance
100 251(0) 79(101) 191(343) 5(56) 251(0) 500 100.90
101 251(0) 28(267) 34(233) 251(0) 500 145.84
102 251(0) 221(197) 129(84) 211(219) 251(0) 500 113.97
103 251(0) 142(439) 251(0) 439 38.83
104 251(0) 70(99) 108(70) 76(225) 154(97) 251(0) 491 88.19
105 251(0) 145(429) 251(0) 429 43.08
106 251(0) 211(57) 90(391) 251(0) 448 89.49
107 251(0) 100(163) 4(337) 251(0) 500 67.11
108 251(0) 231(129) 229(371) 251(0) 500 106.10
109 251(0) 155(411) 232(87) 251(0) 498 77.54
110 251(0) 133(343) 5(157) 251(0) 500 91.81
111 251(0) 188(54) 95(283) 81(77) 100(71) 251(0) 485 126.22
112 251(0) 234(150) 33(244) 251(0) 394 29.26
113 251(0) 188(24) 182(416) 34(27) 251(0) 467 140.73
114 251(0) 231(5) 139(267) 68(217) 251(0) 489 92.24
115 251(0) 79(189) 19(108) 72(203) 251(0) 500 86.20
116 251(0) 133(21) 12(251) 49(224) 251(0) 496 114.65
117 251(0) 1(303) 229(74) 205(123) 251(0) 500 137.44
118 251(0) 172(81) 140(61) 7(119) 164(100) 186(132) 251(0) 493 120.44
119 251(0) 99(179) 244(274) 251(0) 453 51.85
120 251(0) 87(333) 154(147) 251(0) 480 110.14
121 251(0) 209(75) 115(306) 251(0) 381 49.34
122 251(0) 160(402) 251(0) 402 122.00
123 251(0) 19(171) 185(329) 251(0) 500 69.37
124 251(0) 138(78) 21(386) 251(0) 464 32.41
125 251(0) 130(378) 61(95) 251(0) 473 118.93
Total Distance 13258.26
694
Table B.34: IDH solution to MDSD9 with demand range [.1, .9].
Route Load Distance
1 0 169(204) 171(284) 0 488 96.88
2 0 161(97) 93(30) 245(366) 0 493 162.74
3 0 110(93) 60(56) 20(227) 109(88) 0 464 89.68
4 0 236(89) 120(241) 22(159) 0 489 59.68
5 0 227(75) 97(407) 0 482 92.21
6 0 51(166) 29(233) 227(101) 0 500 122.50
7 0 222(62) 165(438) 0 500 76.06
8 0 45(274) 187(217) 0 491 97.98
9 0 77(302) 212(193) 0 495 133.71
10 0 105(64) 181(409) 0 473 95.05
11 0 132(140) 67(354) 0 494 119.89
12 0 111(322) 0 322 30.53
13 0 151(198) 94(302) 0 500 176.42
14 0 178(128) 92(372) 0 500 44.01
15 0 48(25) 128(57) 50(418) 0 500 141.42
16 0 93(90) 91(410) 0 500 123.90
17 0 151(176) 86(272) 0 448 182.95
18 0 85(315) 105(185) 0 500 63.19
19 0 98(8) 240(238) 117(252) 0 498 60.52
20 0 109(358) 210(142) 0 500 78.59
21 0 200(221) 180(259) 63(1) 0 481 108.53
22 0 63(62) 216(84) 149(291) 88(63) 0 500 209.01
23 0 134(173) 159(162) 158(155) 0 490 170.46
24 0 44(404) 199(81) 0 485 90.20
25 0 179(67) 46(403) 161(18) 0 488 103.50
26 0 196(232) 48(268) 0 500 39.89
27 0 143(291) 174(147) 0 438 44.15
28 0 14(354) 174(146) 0 500 53.30
29 0 98(83) 107(63) 247(354) 0 500 175.78
30 0 222(198) 6(281) 0 479 91.25
31 0 236(60) 23(301) 196(139) 0 500 43.18
32 0 41(194) 210(191) 178(115) 0 500 67.73
33 0 37(370) 222(130) 0 500 83.86
(cont.)
695
Table B.34 continued.
Route Load Distance
34 250(0) 131(70) 89(203) 167(89) 13(136) 250(0) 498 143.56
35 250(0) 56(243) 38(193) 250(0) 436 38.74
36 250(0) 47(285) 66(215) 250(0) 500 60.66
37 250(0) 52(56) 75(400) 250(0) 456 111.19
38 250(0) 26(337) 114(163) 250(0) 500 125.18
39 250(0) 39(254) 102(103) 15(104) 250(0) 461 85.29
40 250(0) 153(330) 26(97) 148(73) 250(0) 500 138.19
41 250(0) 249(175) 177(322) 250(0) 497 84.42
42 250(0) 157(105) 249(214) 62(181) 250(0) 500 74.84
43 250(0) 11(271) 57(171) 131(58) 250(0) 500 63.71
44 250(0) 242(397) 250(0) 397 18.97
45 250(0) 42(269) 80(229) 250(0) 498 51.62
46 250(0) 176(194) 233(306) 250(0) 500 69.08
47 250(0) 225(64) 82(57) 235(313) 241(66) 250(0) 500 64.25
48 250(0) 43(111) 223(389) 250(0) 500 48.46
49 250(0) 69(82) 163(181) 64(131) 125(92) 250(0) 486 124.75
50 250(0) 32(154) 226(237) 136(109) 250(0) 500 111.43
51 250(0) 131(171) 10(329) 250(0) 500 48.76
52 250(0) 118(54) 123(335) 43(108) 250(0) 497 118.25
53 250(0) 193(310) 203(178) 250(0) 488 85.46
54 250(0) 225(127) 224(342) 250(0) 469 82.50
55 250(0) 47(61) 17(245) 40(178) 250(0) 484 122.84
56 250(0) 249(29) 69(115) 190(238) 8(101) 250(0) 483 136.21
57 250(0) 215(91) 126(202) 116(199) 250(0) 492 173.69
58 250(0) 84(214) 16(181) 243(102) 250(0) 497 126.78
59 250(0) 122(141) 146(359) 250(0) 500 82.16
60 250(0) 9(194) 148(300) 250(0) 494 131.71
61 250(0) 162(239) 59(69) 136(150) 176(34) 250(0) 492 111.88
62 250(0) 118(130) 3(370) 250(0) 500 123.32
63 250(0) 197(449) 250(0) 449 40.00
64 250(0) 237(443) 62(57) 250(0) 500 78.45
65 250(0) 168(78) 55(412) 250(0) 490 68.46
66 250(0) 66(152) 103(168) 113(132) 250(0) 452 57.03
(cont.)
696
Table B.34 continued.
Route Load Distance
67 250(0) 57(155) 203(223) 214(122) 250(0) 500 58.65
68 250(0) 189(167) 106(323) 250(0) 490 196.80
69 250(0) 230(399) 170(99) 250(0) 498 139.57
70 250(0) 219(343) 15(150) 250(0) 493 91.31
71 250(0) 175(59) 24(168) 147(273) 250(0) 500 158.17
72 250(0) 127(364) 24(83) 250(0) 447 148.78
73 250(0) 84(150) 135(325) 122(25) 250(0) 500 96.18
74 250(0) 101(92) 114(14) 248(263) 121(131) 250(0) 500 175.42
75 250(0) 194(347) 80(153) 250(0) 500 45.65
76 250(0) 32(90) 201(301) 78(109) 250(0) 500 120.68
77 250(0) 10(77) 238(423) 250(0) 500 45.37
78 251(0) 36(326) 220(114) 206(32) 251(0) 472 107.43
79 251(0) 211(276) 221(197) 251(0) 473 89.84
80 251(0) 191(160) 79(290) 5(50) 251(0) 500 61.16
81 251(0) 185(18) 72(203) 19(279) 251(0) 500 87.82
82 251(0) 133(337) 5(163) 251(0) 500 40.57
83 251(0) 133(27) 205(123) 31(261) 129(84) 251(0) 495 146.34
84 251(0) 36(55) 150(445) 251(0) 500 111.58
85 251(0) 124(252) 251(0) 252 15.23
86 251(0) 49(224) 12(251) 251(0) 475 37.16
87 251(0) 207(299) 166(140) 30(59) 251(0) 498 67.70
88 251(0) 61(95) 90(391) 251(0) 486 62.83
89 251(0) 2(83) 170(32) 58(274) 183(111) 251(0) 500 129.77
90 251(0) 206(232) 65(189) 228(79) 251(0) 500 91.68
91 251(0) 191(183) 185(311) 251(0) 494 78.20
92 251(0) 213(100) 112(238) 96(144) 251(0) 482 116.28
93 251(0) 18(99) 198(97) 73(130) 204(174) 251(0) 500 68.48
94 251(0) 130(378) 251(0) 378 55.17
95 251(0) 173(348) 137(116) 251(0) 464 40.77
96 251(0) 83(191) 217(173) 251(0) 364 87.98
97 251(0) 18(47) 54(409) 251(0) 456 40.64
98 251(0) 53(411) 228(89) 251(0) 500 50.41
99 251(0) 27(160) 195(309) 251(0) 469 87.68
(cont.)
697
Table B.34 continued.
Route Load Distance
100 252(0) 70(99) 142(401) 252(0) 500 123.69
101 252(0) 4(337) 252(0) 337 38.47
102 252(0) 68(291) 142(38) 99(124) 252(0) 453 126.71
103 252(0) 209(75) 234(150) 33(244) 252(0) 469 129.20
104 252(0) 138(78) 21(386) 252(0) 464 86.91
105 252(0) 34(260) 95(199) 252(0) 459 26.99
106 252(0) 229(445) 99(55) 252(0) 500 187.34
107 252(0) 100(234) 186(132) 81(77) 252(0) 443 75.63
108 252(0) 232(72) 202(421) 252(0) 493 153.67
109 252(0) 28(135) 35(365) 252(0) 500 84.09
110 252(0) 76(225) 154(244) 252(0) 469 71.23
111 252(0) 192(77) 184(415) 252(0) 492 107.88
112 252(0) 164(100) 25(395) 252(0) 495 109.95
113 252(0) 115(48) 145(429) 252(0) 477 62.70
114 252(0) 239(99) 119(53) 218(200) 156(100) 28(34) 252(0) 486 122.65
115 252(0) 7(56) 141(444) 252(0) 500 107.20
116 252(0) 140(61) 104(125) 74(191) 172(81) 252(0) 458 128.61
117 252(0) 139(267) 71(210) 252(0) 477 185.64
118 252(0) 1(303) 231(134) 232(15) 244(32) 252(0) 484 203.21
119 252(0) 152(73) 144(415) 252(0) 488 120.20
120 252(0) 108(70) 155(411) 252(0) 481 101.04
121 252(0) 160(402) 28(98) 252(0) 500 69.16
122 252(0) 7(63) 246(250) 208(155) 252(0) 468 103.05
123 252(0) 244(242) 115(258) 252(0) 500 80.90
124 252(0) 95(84) 182(416) 252(0) 500 34.22
125 252(0) 188(78) 87(333) 252(0) 411 37.04
Total Distance 11959.27
698
Table B.35: IDH solution to MDSD10 with demand range [.1, .9].
Route Load Distance
1 0 222(219) 6(281) 0 500 81.72
2 0 236(15) 199(81) 44(404) 0 500 84.19
3 0 174(293) 143(207) 0 500 45.61
4 0 132(90) 181(409) 0 499 103.12
5 0 222(130) 37(370) 0 500 74.13
6 0 22(159) 120(241) 236(100) 0 500 53.60
7 0 111(322) 0 322 22.63
8 0 20(227) 227(40) 29(233) 0 500 85.46
9 0 97(407) 132(50) 105(43) 0 500 79.91
10 0 109(446) 0 446 76.97
11 0 222(41) 165(438) 85(21) 0 500 69.67
12 0 171(284) 162(167) 169(43) 0 494 102.97
13 0 210(27) 110(93) 60(56) 158(155) 227(136) 0 467 111.87
14 0 41(194) 210(306) 0 500 71.44
15 0 169(161) 52(56) 16(181) 243(102) 0 500 128.11
16 0 98(91) 240(238) 107(63) 0 392 83.82
17 0 48(293) 196(206) 0 499 38.13
18 0 196(165) 23(301) 236(34) 0 500 39.52
19 0 105(206) 85(294) 0 500 56.94
20 0 117(252) 178(243) 0 495 76.71
21 0 14(354) 143(84) 128(57) 0 495 74.27
22 0 92(372) 0 372 37.20
23 250(0) 238(423) 10(77) 250(0) 500 118.93
24 250(0) 242(140) 241(66) 11(271) 250(0) 477 121.97
25 250(0) 136(143) 15(254) 102(103) 250(0) 500 89.46
26 250(0) 226(237) 32(244) 250(0) 481 50.44
27 250(0) 17(71) 40(178) 24(251) 250(0) 500 54.98
28 250(0) 78(109) 67(354) 250(0) 463 59.60
29 250(0) 56(243) 242(257) 250(0) 500 81.36
30 250(0) 223(299) 225(191) 250(0) 490 115.24
31 250(0) 113(118) 80(382) 250(0) 500 75.28
32 250(0) 223(90) 43(219) 122(166) 250(0) 475 112.91
33 250(0) 55(86) 47(346) 175(59) 250(0) 491 40.08
(cont.)
699
Table B.35 continued.
Route Load Distance
34 250(0) 127(364) 147(136) 250(0) 500 93.71
35 250(0) 17(174) 55(326) 250(0) 500 48.13
36 250(0) 59(69) 162(72) 75(359) 250(0) 500 84.29
37 250(0) 10(250) 197(247) 250(0) 497 110.58
38 250(0) 103(29) 42(269) 197(202) 250(0) 500 95.16
39 250(0) 66(367) 168(78) 250(0) 445 58.61
40 250(0) 214(122) 131(299) 10(79) 250(0) 500 130.80
41 250(0) 147(137) 159(162) 134(173) 250(0) 472 128.81
42 250(0) 75(41) 219(343) 136(116) 250(0) 500 86.74
43 250(0) 103(139) 194(347) 113(14) 250(0) 500 80.06
44 250(0) 51(166) 201(301) 250(0) 467 72.45
45 250(0) 176(187) 233(306) 250(0) 493 65.71
46 250(0) 38(193) 39(254) 176(41) 250(0) 488 94.23
47 251(0) 91(410) 192(77) 251(0) 487 73.37
48 251(0) 50(198) 77(302) 251(0) 500 87.83
49 251(0) 179(67) 161(115) 187(184) 93(120) 251(0) 486 101.87
50 251(0) 144(415) 251(0) 415 25.46
51 251(0) 28(137) 4(337) 251(0) 474 117.57
52 251(0) 119(53) 149(291) 218(151) 251(0) 495 92.14
53 251(0) 245(280) 50(220) 251(0) 500 76.21
54 251(0) 160(400) 156(100) 251(0) 500 86.63
55 251(0) 141(444) 208(52) 251(0) 496 134.89
56 251(0) 215(91) 116(199) 126(202) 251(0) 492 180.31
57 251(0) 25(395) 208(103) 251(0) 498 119.84
58 251(0) 160(2) 7(119) 246(250) 152(73) 180(53) 251(0) 497 136.47
59 251(0) 245(77) 151(374) 218(49) 251(0) 500 83.97
60 251(0) 34(260) 95(240) 251(0) 500 68.36
61 251(0) 94(228) 86(272) 251(0) 500 89.43
62 251(0) 184(415) 251(0) 415 26.00
63 251(0) 187(33) 45(274) 212(193) 251(0) 500 131.60
64 251(0) 216(84) 46(403) 251(0) 487 76.39
65 251(0) 245(9) 88(63) 247(354) 94(74) 251(0) 500 117.14
66 251(0) 104(125) 74(191) 140(61) 164(100) 251(0) 477 160.16
(cont.)
700
Table B.35 continued.
Route Load Distance
67 251(0) 180(206) 200(221) 63(63) 251(0) 490 89.01
68 251(0) 182(370) 28(130) 251(0) 500 57.43
69 251(0) 35(365) 239(99) 251(0) 464 25.32
70 251(0) 87(333) 188(78) 95(43) 182(46) 251(0) 500 104.52
71 252(0) 228(132) 124(252) 137(116) 252(0) 500 83.22
72 252(0) 69(178) 177(322) 252(0) 500 93.92
73 252(0) 207(299) 73(130) 252(0) 429 57.74
74 252(0) 157(105) 82(57) 57(326) 252(0) 488 140.79
75 252(0) 54(409) 252(0) 409 22.36
76 252(0) 53(411) 228(36) 252(0) 447 77.42
77 252(0) 224(342) 64(131) 252(0) 473 87.16
78 252(0) 13(136) 167(89) 89(203) 153(72) 252(0) 500 152.41
79 252(0) 114(98) 101(92) 193(310) 252(0) 500 103.30
80 252(0) 195(268) 217(72) 27(160) 252(0) 500 56.54
81 252(0) 135(325) 62(156) 252(0) 481 134.56
82 252(0) 96(144) 213(100) 112(238) 252(0) 482 96.45
83 252(0) 36(381) 217(101) 252(0) 482 74.89
84 252(0) 69(19) 237(443) 252(0) 462 101.00
85 252(0) 18(146) 30(59) 198(97) 204(174) 252(0) 476 64.11
86 252(0) 146(136) 84(364) 252(0) 500 137.19
87 252(0) 170(48) 9(194) 153(258) 252(0) 500 106.41
88 252(0) 83(144) 183(82) 58(274) 252(0) 500 84.61
89 252(0) 123(92) 118(184) 146(223) 252(0) 499 137.13
90 252(0) 65(189) 206(264) 83(47) 252(0) 500 83.07
91 252(0) 249(418) 62(82) 252(0) 500 107.51
92 252(0) 121(131) 106(323) 189(44) 252(0) 498 156.42
93 252(0) 195(41) 170(60) 230(399) 252(0) 500 89.69
94 252(0) 173(348) 252(0) 348 18.11
95 252(0) 170(23) 26(212) 148(182) 2(83) 252(0) 500 93.67
96 252(0) 220(114) 189(123) 248(263) 252(0) 500 135.89
97 252(0) 3(370) 8(101) 252(0) 471 121.98
98 252(0) 123(243) 190(238) 252(0) 481 112.30
99 252(0) 114(79) 148(191) 26(222) 252(0) 492 97.58
(cont.)
701
Table B.35 continued.
Route Load Distance
100 252(0) 125(92) 203(401) 252(0) 493 121.10
101 252(0) 163(181) 235(313) 252(0) 494 115.73
102 252(0) 150(445) 183(29) 252(0) 474 80.73
103 253(0) 1(303) 31(74) 205(123) 253(0) 500 173.61
104 253(0) 5(25) 130(378) 61(95) 253(0) 498 73.16
105 253(0) 191(343) 253(0) 343 13.42
106 253(0) 166(140) 72(203) 19(157) 253(0) 500 66.80
107 253(0) 138(42) 100(234) 186(132) 172(81) 253(0) 489 125.77
108 253(0) 71(32) 229(445) 31(8) 253(0) 485 149.23
109 253(0) 33(41) 234(150) 21(309) 253(0) 500 107.43
110 253(0) 12(251) 49(224) 253(0) 475 45.65
111 253(0) 31(179) 68(230) 99(91) 253(0) 500 162.60
112 253(0) 244(31) 76(225) 154(244) 253(0) 500 164.55
113 253(0) 19(122) 185(329) 253(0) 451 30.55
114 253(0) 21(35) 145(429) 138(36) 253(0) 500 113.68
115 253(0) 21(42) 81(77) 115(306) 209(75) 253(0) 500 136.00
116 253(0) 244(243) 108(70) 70(99) 99(88) 253(0) 500 138.41
117 253(0) 90(219) 221(197) 129(84) 253(0) 500 81.16
118 253(0) 5(136) 133(364) 253(0) 500 20.11
119 253(0) 71(178) 139(267) 231(55) 253(0) 500 160.94
120 253(0) 68(61) 142(439) 253(0) 500 113.33
121 253(0) 232(87) 155(411) 253(0) 498 157.79
122 253(0) 33(203) 79(290) 253(0) 493 61.68
123 253(0) 5(52) 90(172) 211(276) 253(0) 500 52.85
124 253(0) 231(79) 202(421) 253(0) 500 154.23
Total Distance 11377.30
702
Table B.36: IDH solution to MDSD1 with demand range [.3, .7].
Route Load Distance
1 0 41(39) 13(41) 0 80 35.69
2 0 4(36) 17(32) 37(12) 0 80 30.88
3 0 41(3) 40(40) 19(37) 0 80 43.05
4 0 44(12) 15(55) 37(13) 0 80 36.64
5 0 44(31) 42(49) 0 80 31.53
6 51(0) 22(45) 1(35) 51(0) 80 41.77
7 51(0) 27(50) 6(24) 51(0) 74 28.46
8 51(0) 23(13) 43(25) 7(42) 51(0) 80 73.52
9 51(0) 46(27) 11(53) 51(0) 80 24.48
10 51(0) 12(49) 47(26) 51(0) 75 23.50
11 51(0) 8(29) 26(49) 51(0) 78 57.39
12 51(0) 25(31) 18(47) 51(0) 78 49.03
13 51(0) 8(19) 48(36) 23(25) 51(0) 80 62.48
14 51(0) 14(29) 24(48) 51(0) 77 53.94
15 51(0) 31(47) 28(26) 1(7) 51(0) 80 66.21
16 51(0) 32(48) 46(12) 51(0) 60 21.46
17 52(0) 9(18) 34(50) 52(0) 68 24.01
18 52(0) 49(26) 10(50) 52(0) 76 19.50
19 52(0) 39(42) 30(33) 52(0) 75 38.08
20 52(0) 16(28) 50(36) 9(16) 52(0) 80 26.10
21 52(0) 45(35) 33(42) 52(0) 77 50.22
22 52(0) 5(27) 38(37) 52(0) 64 24.14
23 53(0) 20(24) 3(31) 35(25) 53(0) 80 39.56
24 53(0) 20(22) 2(51) 29(7) 53(0) 80 32.47
25 53(0) 29(25) 21(55) 53(0) 80 18.29
26 53(0) 35(10) 36(53) 53(0) 63 38.47
Total Distance 990.85
703
Table B.37: IDH solution to MDSD2 with demand range [.3, .7].
Route Load Distance
1 0 68(94) 4(46) 0 140 21.63
2 0 26(42) 67(75) 0 117 17.12
3 0 75(38) 34(54) 46(48) 0 140 26.86
4 0 6(92) 75(40) 0 132 19.84
5 76(0) 48(73) 30(59) 76(0) 132 17.37
6 76(0) 13(50) 52(65) 76(0) 115 42.73
7 76(0) 15(45) 57(47) 27(45) 76(0) 137 41.61
8 76(0) 5(6) 20(75) 37(59) 76(0) 140 36.20
9 76(0) 2(59) 74(79) 76(0) 138 31.97
10 76(0) 21(24) 61(52) 28(64) 76(0) 140 47.65
11 76(0) 45(82) 29(42) 76(0) 124 16.94
12 76(0) 21(38) 47(28) 5(74) 76(0) 140 29.60
13 76(0) 36(30) 60(60) 70(47) 76(0) 137 50.04
14 76(0) 47(18) 69(43) 71(58) 36(21) 76(0) 140 46.78
15 77(0) 35(86) 77(0) 86 10.00
16 77(0) 53(6) 11(22) 65(95) 77(0) 123 32.88
17 77(0) 53(47) 38(93) 77(0) 140 27.64
18 77(0) 7(54) 8(84) 77(0) 138 24.14
19 77(0) 54(52) 19(79) 77(0) 131 36.94
20 77(0) 58(68) 10(55) 77(0) 123 40.41
21 77(0) 11(53) 66(87) 77(0) 140 34.40
22 77(0) 59(65) 14(48) 77(0) 113 35.40
23 78(0) 16(47) 17(66) 78(0) 113 32.33
24 78(0) 44(49) 3(90) 78(0) 139 12.00
25 78(0) 24(44) 49(80) 78(0) 124 39.95
26 78(0) 12(52) 40(80) 78(0) 132 23.83
27 78(0) 32(39) 50(40) 18(61) 78(0) 140 41.58
28 78(0) 9(95) 32(29) 78(0) 124 29.79
29 78(0) 50(47) 25(93) 78(0) 140 43.73
30 78(0) 31(62) 55(74) 78(0) 136 82.57
31 78(0) 39(55) 72(82) 78(0) 137 38.84
32 78(0) 51(96) 78(0) 96 14.42
33 79(0) 43(28) 41(53) 42(52) 79(0) 133 20.65
(cont.)
704
Table B.37 continued.
Route Load Distance
34 79(0) 22(49) 62(82) 79(0) 131 27.28
35 79(0) 63(55) 23(85) 79(0) 140 31.26
36 79(0) 73(52) 33(57) 63(11) 79(0) 120 29.24
37 79(0) 64(97) 79(0) 97 31.62
38 79(0) 43(45) 56(95) 79(0) 140 30.65
39 79(0) 1(76) 79(0) 76 5.66
Total Distance 1223.57
705
Table B.38: IDH solution to MDSD3 with demand range [.3, .7].
Route Load Distance
1 0 43(45) 15(54) 0 99 43.90
2 0 93(30) 61(56) 98(14) 0 100 47.11
3 0 13(54) 0 54 14.14
4 0 56(63) 74(35) 0 98 39.81
5 0 73(4) 72(38) 4(51) 40(7) 0 100 44.48
6 0 14(52) 91(48) 0 100 51.39
7 0 87(63) 0 63 14.56
8 0 55(62) 54(35) 0 97 60.42
9 0 59(55) 92(35) 97(10) 0 100 30.01
10 0 39(44) 25(55) 0 99 65.68
11 0 57(49) 42(51) 0 100 30.15
12 0 96(2) 99(62) 93(36) 0 100 37.29
13 0 97(16) 98(34) 37(50) 0 100 32.46
14 0 21(35) 73(51) 0 86 22.65
15 0 44(50) 38(38) 14(12) 0 100 69.10
16 0 100(33) 85(67) 0 100 40.69
17 0 22(39) 75(60) 0 99 34.91
18 0 2(31) 41(66) 0 97 29.97
19 0 58(48) 40(52) 0 100 17.28
20 0 97(35) 95(65) 0 100 23.82
21 0 67(61) 23(36) 75(3) 0 100 72.47
22 0 61(11) 86(50) 16(33) 91(6) 0 100 64.79
23 101(0) 70(61) 31(31) 101(0) 92 45.77
24 101(0) 33(28) 81(59) 3(13) 101(0) 100 58.95
25 101(0) 5(23) 17(36) 84(41) 101(0) 100 61.03
26 101(0) 96(12) 5(36) 60(52) 101(0) 100 45.38
27 101(0) 88(40) 10(56) 101(0) 96 53.67
28 101(0) 78(57) 34(39) 81(4) 101(0) 100 73.70
29 101(0) 76(57) 77(41) 101(0) 98 39.47
30 101(0) 52(5) 7(33) 19(50) 48(12) 101(0) 100 68.44
31 101(0) 49(64) 64(35) 101(0) 99 103.18
32 101(0) 33(7) 9(56) 51(37) 101(0) 100 66.26
33 101(0) 53(67) 101(0) 67 8.94
(cont.)
706
Table B.38 continued.
Route Load Distance
34 101(0) 45(31) 83(69) 101(0) 100 58.31
35 101(0) 33(33) 50(67) 101(0) 100 49.54
36 101(0) 6(30) 96(40) 94(30) 101(0) 100 31.46
37 101(0) 3(43) 79(37) 29(20) 101(0) 100 65.02
38 101(0) 24(68) 29(32) 101(0) 100 66.90
39 101(0) 36(34) 47(55) 48(4) 101(0) 93 82.82
40 101(0) 8(38) 46(43) 48(19) 101(0) 100 75.19
41 101(0) 66(53) 35(45) 101(0) 98 97.66
42 101(0) 30(31) 90(34) 63(32) 101(0) 97 76.30
43 101(0) 82(69) 18(31) 101(0) 100 47.74
44 101(0) 27(39) 101(0) 39 10.00
45 101(0) 1(54) 69(41) 101(0) 95 31.87
46 101(0) 52(52) 89(48) 101(0) 100 28.38
47 101(0) 71(32) 65(58) 51(10) 101(0) 100 99.90
48 101(0) 51(17) 20(38) 32(45) 101(0) 100 79.76
49 101(0) 88(8) 11(44) 62(48) 101(0) 100 67.11
50 101(0) 68(50) 80(39) 12(9) 101(0) 98 44.70
51 101(0) 28(31) 12(31) 26(38) 101(0) 100 33.80
Total Distance 2558.33
707
Table B.39: IDH solution to MDSD4 with demand range [.3, .7].
Route Load Distance
1 0 7(61) 82(136) 0 197 33.64
2 0 43(86) 15(108) 0 194 73.81
3 0 16(87) 61(113) 0 200 31.69
4 0 11(78) 62(122) 0 200 63.17
5 0 99(78) 96(122) 0 200 23.16
6 0 52(61) 31(130) 18(9) 0 200 47.62
7 0 91(77) 100(106) 0 183 36.42
8 0 60(66) 5(100) 0 166 11.71
9 0 18(87) 83(106) 0 193 16.02
10 0 42(104) 57(66) 87(26) 0 196 61.31
11 0 90(77) 63(106) 62(14) 0 197 76.35
12 0 98(120) 93(63) 0 183 29.12
13 0 10(127) 88(65) 0 192 58.35
14 0 6(78) 89(122) 0 200 27.28
15 0 17(103) 45(97) 0 200 28.73
16 0 6(39) 94(24) 95(104) 59(17) 99(15) 0 199 34.04
17 0 97(95) 87(104) 0 199 42.85
18 0 92(106) 59(80) 0 186 29.53
19 0 64(127) 49(73) 0 200 88.93
20 0 16(12) 44(83) 14(101) 0 196 52.55
21 0 84(134) 0 134 11.31
22 0 8(19) 36(128) 49(21) 48(32) 0 200 71.75
23 0 38(71) 86(120) 0 191 64.91
24 0 37(96) 85(97) 0 193 33.32
25 0 48(28) 19(79) 47(93) 0 200 55.56
26 0 94(97) 13(103) 0 200 36.10
27 0 8(76) 46(81) 45(32) 0 189 39.13
28 101(0) 79(136) 29(61) 101(0) 197 33.77
29 101(0) 74(22) 73(13) 2(76) 58(89) 101(0) 200 67.32
30 101(0) 55(11) 67(85) 23(88) 56(15) 101(0) 199 75.23
31 101(0) 9(32) 65(99) 66(69) 101(0) 200 95.46
32 101(0) 3(105) 77(95) 101(0) 200 21.07
33 101(0) 20(97) 32(89) 30(8) 101(0) 194 81.84
(cont.)
708
Table B.39 continued.
Route Load Distance
34 101(0) 73(66) 21(134) 101(0) 200 42.29
35 101(0) 41(70) 22(130) 101(0) 200 62.04
36 101(0) 75(95) 74(94) 101(0) 189 52.11
37 101(0) 27(90) 28(110) 101(0) 200 41.47
38 101(0) 55(104) 25(96) 101(0) 200 36.06
39 101(0) 54(88) 24(108) 101(0) 196 26.32
40 101(0) 78(76) 34(106) 80(13) 101(0) 195 45.39
41 101(0) 68(108) 80(92) 101(0) 200 8.36
42 101(0) 71(116) 35(73) 101(0) 189 70.82
43 101(0) 77(35) 33(71) 81(85) 101(0) 191 39.07
44 101(0) 53(77) 58(42) 40(81) 101(0) 200 45.69
45 101(0) 1(109) 69(78) 101(0) 187 45.90
46 101(0) 72(77) 56(123) 101(0) 200 50.91
47 101(0) 26(114) 12(84) 101(0) 198 23.25
48 101(0) 51(125) 9(50) 81(25) 101(0) 200 55.09
49 101(0) 50(83) 76(70) 101(0) 153 29.03
50 101(0) 39(115) 4(84) 101(0) 199 47.97
51 101(0) 30(78) 70(122) 101(0) 200 61.81
Total Distance 2336.65
709
Table B.40: IDH solution to MDSD5 with demand range [.3, .7].
Route Load Distance
1 0 97(19) 13(48) 95(33) 0 100 32.32
2 0 86(41) 16(42) 0 83 22.50
3 0 44(67) 0 67 14.42
4 0 100(60) 91(36) 0 96 7.77
5 0 42(18) 15(52) 57(30) 0 100 47.33
6 0 38(63) 14(37) 0 100 39.21
7 0 93(45) 99(48) 0 93 15.64
8 0 85(41) 61(41) 0 82 11.71
9 0 6(33) 94(52) 0 85 30.34
10 0 98(50) 37(38) 0 88 10.54
11 0 97(38) 87(58) 0 96 27.45
12 0 5(27) 83(32) 60(41) 0 100 35.46
13 0 45(69) 84(31) 0 100 40.43
14 0 42(12) 43(69) 14(19) 0 100 41.73
15 0 92(30) 59(30) 96(40) 0 100 22.58
16 0 17(48) 84(34) 5(15) 0 97 34.35
17 101(0) 53(55) 58(33) 40(12) 101(0) 100 37.43
18 101(0) 72(2) 41(46) 22(34) 74(17) 101(0) 99 30.76
19 101(0) 4(64) 101(0) 64 10.00
20 101(0) 56(30) 75(39) 74(20) 101(0) 89 24.33
21 101(0) 39(24) 67(39) 23(37) 101(0) 100 50.52
22 101(0) 54(46) 24(54) 101(0) 100 42.61
23 101(0) 72(38) 73(62) 101(0) 100 14.87
24 101(0) 29(52) 68(47) 101(0) 99 54.55
25 101(0) 40(2) 28(58) 26(35) 101(0) 95 42.46
26 101(0) 39(30) 25(67) 101(0) 97 37.24
27 101(0) 55(68) 101(0) 68 26.68
28 101(0) 54(16) 80(38) 12(43) 101(0) 97 40.79
29 101(0) 2(45) 40(55) 101(0) 100 35.91
30 101(0) 21(57) 101(0) 57 10.00
31 102(0) 69(46) 1(54) 102(0) 100 21.20
32 102(0) 47(66) 48(30) 102(0) 96 55.63
33 102(0) 79(35) 3(63) 102(0) 98 49.05
(cont.)
710
Table B.40 continued.
Route Load Distance
34 102(0) 52(50) 89(34) 102(0) 84 44.42
35 102(0) 90(49) 63(51) 102(0) 100 33.25
36 102(0) 90(15) 32(47) 20(38) 102(0) 100 42.03
37 102(0) 20(15) 71(34) 35(42) 9(9) 102(0) 100 63.27
38 102(0) 50(2) 77(44) 76(54) 102(0) 100 44.86
39 102(0) 82(31) 8(67) 102(0) 98 55.67
40 102(0) 66(56) 65(39) 102(0) 95 71.23
41 102(0) 64(48) 49(33) 36(14) 102(0) 95 84.78
42 102(0) 9(36) 81(36) 33(28) 102(0) 100 47.69
43 102(0) 30(60) 102(0) 60 14.14
44 102(0) 51(35) 50(51) 102(0) 86 39.92
45 102(0) 31(47) 88(50) 102(0) 97 19.49
46 102(0) 33(3) 78(45) 34(52) 102(0) 100 61.25
47 102(0) 69(20) 27(53) 102(0) 73 30.53
48 102(0) 70(68) 102(0) 68 4.47
49 102(0) 62(47) 10(53) 102(0) 100 24.80
50 102(0) 88(5) 7(57) 18(38) 102(0) 100 47.02
51 102(0) 11(34) 19(62) 62(1) 102(0) 97 45.72
52 102(0) 36(44) 46(56) 102(0) 100 79.11
Total Distance 1871.47
711
Table B.41: IDH solution to MDSD6 with demand range [.3, .7].
Route Load Distance
1 0 99(50) 5(50) 0 100 21.70
2 0 89(60) 6(37) 0 97 27.28
3 0 61(20) 16(32) 86(44) 0 96 42.45
4 0 17(59) 84(33) 0 92 22.92
5 0 18(62) 0 62 14.14
6 0 8(13) 36(56) 46(31) 0 100 58.61
7 0 8(29) 45(67) 0 96 25.32
8 0 8(12) 47(39) 49(49) 0 100 68.96
9 0 82(52) 48(47) 0 99 34.50
10 0 96(40) 59(60) 0 100 26.32
11 0 60(54) 0 54 4.47
12 0 61(30) 91(42) 85(28) 0 100 33.43
13 0 83(61) 0 61 4.47
14 0 99(11) 59(9) 93(39) 85(41) 0 100 31.40
15 101(0) 78(43) 79(53) 101(0) 96 36.84
16 101(0) 24(36) 29(49) 101(0) 85 28.47
17 101(0) 55(16) 25(51) 54(33) 101(0) 100 36.39
18 101(0) 34(68) 3(30) 101(0) 98 46.50
19 101(0) 77(18) 33(33) 50(49) 101(0) 100 39.48
20 101(0) 26(66) 12(6) 101(0) 72 23.25
21 101(0) 80(59) 101(0) 59 4.47
22 101(0) 68(47) 77(15) 76(36) 101(0) 98 22.47
23 101(0) 4(66) 55(34) 101(0) 100 37.97
24 101(0) 28(61) 12(39) 101(0) 100 28.36
25 102(0) 13(31) 94(44) 102(0) 75 22.94
26 102(0) 23(33) 56(67) 102(0) 100 51.98
27 102(0) 40(35) 21(59) 102(0) 94 24.14
28 102(0) 37(14) 100(24) 44(62) 102(0) 100 50.63
29 102(0) 43(47) 14(52) 102(0) 99 53.80
30 102(0) 2(66) 102(0) 66 6.00
31 102(0) 22(33) 41(60) 102(0) 93 33.15
32 102(0) 72(57) 73(43) 102(0) 100 25.30
33 102(0) 57(35) 15(36) 102(0) 71 31.64
(cont.)
712
Table B.41 continued.
Route Load Distance
34 102(0) 58(34) 53(62) 102(0) 96 22.36
35 102(0) 98(51) 37(49) 102(0) 100 32.45
36 102(0) 42(48) 87(47) 102(0) 95 28.09
37 102(0) 100(34) 38(57) 14(9) 102(0) 100 69.04
38 102(0) 95(64) 97(36) 102(0) 100 23.82
39 102(0) 22(12) 75(48) 74(40) 102(0) 100 34.91
40 102(0) 4(2) 39(39) 67(34) 56(1) 73(15) 102(0) 91 74.77
41 102(0) 92(61) 97(32) 102(0) 93 26.37
42 103(0) 69(46) 1(54) 103(0) 100 14.16
43 103(0) 31(63) 103(0) 63 8.94
44 103(0) 9(49) 81(49) 103(0) 98 48.76
45 103(0) 11(69) 10(25) 103(0) 94 43.57
46 103(0) 88(7) 7(35) 19(40) 10(14) 103(0) 96 52.90
47 103(0) 51(14) 35(45) 65(41) 103(0) 100 82.00
48 103(0) 69(13) 27(50) 52(34) 103(0) 97 30.06
49 103(0) 70(41) 30(59) 103(0) 100 22.50
50 103(0) 62(56) 88(44) 103(0) 100 29.15
51 103(0) 32(38) 90(51) 10(11) 103(0) 100 41.72
52 103(0) 51(29) 71(58) 20(4) 30(8) 103(0) 99 59.55
53 103(0) 10(8) 63(60) 64(32) 103(0) 100 68.69
54 103(0) 20(35) 66(65) 103(0) 100 53.90
Total Distance 1887.48
713
Table B.42: IDH solution to MDSD7 with demand range [.3, .7].
Route Load Distance
1 0 207(168) 166(289) 96(43) 0 500 84.09
2 0 30(213) 18(223) 54(44) 0 480 95.12
3 0 228(98) 53(188) 173(199) 0 485 136.82
4 0 24(251) 40(242) 0 493 219.92
5 0 190(188) 8(225) 112(87) 0 500 75.03
6 0 112(131) 213(334) 0 465 80.38
7 0 177(191) 69(256) 0 447 35.12
8 0 123(195) 3(183) 190(122) 0 500 78.29
9 0 39(261) 84(210) 0 471 105.20
10 0 16(334) 118(162) 0 496 105.82
11 0 175(312) 17(156) 0 468 195.97
12 0 15(147) 75(346) 0 493 139.02
13 0 157(344) 224(156) 0 500 45.65
14 0 73(232) 198(161) 0 393 57.87
15 0 219(197) 52(303) 0 500 132.51
16 0 176(248) 233(252) 0 500 128.62
17 0 177(103) 146(162) 135(177) 0 442 74.71
18 0 230(127) 153(203) 9(166) 0 496 105.53
19 0 54(240) 204(260) 0 500 71.30
20 0 61(168) 130(321) 0 489 174.54
21 0 131(306) 214(194) 0 500 91.22
22 0 206(308) 83(172) 0 480 110.32
23 0 58(243) 183(237) 0 480 100.37
24 0 237(1) 233(7) 136(11) 32(210) 201(271) 0 500 199.59
25 0 129(206) 221(253) 61(41) 0 500 188.19
26 0 193(150) 101(223) 64(127) 0 500 63.56
27 0 55(303) 47(197) 0 500 171.19
28 0 13(301) 26(197) 0 498 125.21
29 0 43(34) 223(302) 225(164) 0 500 78.34
30 0 27(184) 125(296) 0 480 73.73
31 0 47(50) 168(198) 66(252) 0 500 167.86
32 0 185(271) 19(180) 207(49) 0 500 122.71
33 0 127(152) 147(329) 0 481 262.75
(cont.)
714
Table B.42 continued.
Route Load Distance
34 0 214(97) 10(60) 56(343) 0 500 136.15
35 0 241(220) 57(16) 203(264) 0 500 90.51
36 0 114(332) 148(168) 0 500 80.44
37 0 80(20) 113(195) 103(283) 66(2) 0 500 164.42
38 0 38(252) 242(243) 0 495 104.61
39 0 195(264) 217(229) 0 493 75.29
40 0 49(239) 12(247) 0 486 139.14
41 0 2(248) 170(252) 0 500 73.62
42 0 9(45) 248(261) 189(194) 0 500 139.33
43 0 124(240) 137(251) 0 491 121.61
44 0 220(335) 230(117) 170(36) 0 488 125.95
45 0 191(160) 5(150) 133(151) 0 461 128.39
46 0 96(107) 19(128) 79(252) 0 487 140.41
47 0 167(165) 89(294) 114(4) 0 463 132.73
48 0 102(163) 15(8) 136(329) 0 500 146.47
49 0 235(213) 241(14) 11(273) 0 500 71.04
50 0 197(92) 42(213) 10(193) 0 498 144.92
51 0 57(180) 238(292) 131(28) 0 500 112.76
52 0 163(269) 64(200) 0 469 32.81
53 0 249(171) 122(178) 43(135) 0 484 74.79
54 0 65(245) 228(249) 0 494 150.19
55 0 36(229) 150(247) 0 476 111.10
56 0 49(31) 90(155) 211(307) 0 493 166.49
57 0 80(131) 194(281) 197(88) 0 500 151.18
58 0 237(308) 62(192) 0 500 47.59
59 0 78(261) 32(31) 226(198) 0 490 187.10
60 0 106(236) 121(238) 248(8) 0 482 166.32
61 0 224(110) 82(344) 0 454 44.41
62 250(0) 212(312) 77(184) 250(0) 496 135.18
63 250(0) 50(205) 77(44) 91(236) 250(0) 485 119.92
64 250(0) 126(44) 215(254) 104(23) 141(179) 250(0) 500 95.33
65 250(0) 164(38) 209(276) 138(186) 250(0) 500 165.43
66 250(0) 181(178) 59(206) 171(116) 250(0) 500 151.64
(cont.)
715
Table B.42 continued.
Route Load Distance
67 250(0) 25(23) 104(250) 74(227) 250(0) 500 79.05
68 250(0) 110(184) 109(316) 250(0) 500 181.45
69 250(0) 169(184) 243(316) 250(0) 500 130.72
70 250(0) 239(11) 35(192) 34(257) 95(40) 250(0) 500 147.99
71 250(0) 111(239) 236(171) 22(90) 250(0) 500 79.96
72 250(0) 182(338) 28(162) 250(0) 500 102.13
73 250(0) 162(349) 169(63) 165(88) 250(0) 500 144.75
74 250(0) 37(97) 165(73) 6(330) 250(0) 500 94.66
75 250(0) 94(92) 86(207) 149(173) 245(14) 250(0) 486 163.40
76 250(0) 22(192) 120(308) 250(0) 500 57.31
77 250(0) 68(80) 71(24) 31(199) 205(197) 250(0) 500 271.31
78 250(0) 178(280) 92(167) 250(0) 447 150.61
79 250(0) 4(237) 81(263) 250(0) 500 123.92
80 250(0) 88(198) 247(265) 250(0) 463 160.96
81 250(0) 208(160) 152(340) 250(0) 500 42.84
82 250(0) 94(205) 151(281) 250(0) 486 144.96
83 250(0) 199(294) 250(0) 294 20.59
84 250(0) 186(175) 100(325) 250(0) 500 141.76
85 250(0) 246(249) 25(251) 250(0) 500 44.01
86 250(0) 144(348) 250(0) 348 82.46
87 250(0) 244(122) 232(333) 115(45) 250(0) 500 208.59
88 250(0) 105(177) 227(323) 250(0) 500 168.65
89 250(0) 244(70) 155(160) 231(270) 250(0) 500 248.13
90 250(0) 200(150) 63(161) 180(172) 250(0) 483 49.62
91 250(0) 117(189) 240(311) 250(0) 500 141.97
92 250(0) 99(211) 70(48) 108(241) 250(0) 500 189.79
93 250(0) 51(277) 67(209) 250(0) 486 202.77
94 250(0) 202(188) 139(271) 250(0) 459 259.27
95 250(0) 210(233) 41(267) 250(0) 500 170.01
96 250(0) 71(265) 229(127) 70(108) 250(0) 500 277.61
97 250(0) 132(188) 97(204) 171(56) 169(35) 250(0) 483 170.27
98 250(0) 1(276) 229(217) 250(0) 493 295.92
99 250(0) 244(102) 76(288) 154(110) 250(0) 500 188.66
(cont.)
716
Table B.42 continued.
Route Load Distance
100 250(0) 222(171) 85(300) 250(0) 471 97.86
101 250(0) 33(257) 234(213) 250(0) 470 194.42
102 250(0) 208(94) 7(318) 250(0) 412 58.56
103 250(0) 216(265) 46(235) 250(0) 500 61.43
104 250(0) 160(274) 164(215) 250(0) 489 77.88
105 250(0) 179(23) 45(251) 187(164) 46(52) 250(0) 490 94.64
106 250(0) 179(149) 14(288) 174(63) 250(0) 500 109.72
107 250(0) 161(227) 93(250) 250(0) 477 74.91
108 250(0) 245(163) 218(153) 184(173) 250(0) 489 129.26
109 250(0) 246(99) 72(321) 74(46) 141(28) 250(0) 494 156.06
110 250(0) 115(107) 145(346) 81(47) 250(0) 500 147.54
111 250(0) 172(278) 140(177) 250(0) 455 102.82
112 250(0) 120(37) 196(226) 174(218) 250(0) 481 92.65
113 250(0) 37(237) 44(263) 250(0) 500 67.84
114 250(0) 158(80) 159(231) 134(179) 250(0) 490 265.96
115 250(0) 186(156) 21(342) 250(0) 498 142.85
116 250(0) 107(247) 240(26) 98(196) 250(0) 469 140.26
117 250(0) 95(70) 87(306) 154(124) 250(0) 500 171.37
118 250(0) 105(67) 29(187) 20(228) 250(0) 482 177.56
119 250(0) 48(271) 23(192) 250(0) 463 78.90
120 250(0) 128(168) 143(331) 250(0) 499 90.24
121 250(0) 28(88) 95(103) 188(309) 250(0) 500 117.64
122 250(0) 156(171) 239(329) 250(0) 500 107.19
123 250(0) 41(26) 110(21) 60(333) 158(120) 250(0) 500 207.71
124 250(0) 142(293) 68(207) 250(0) 500 210.39
125 250(0) 126(167) 116(328) 250(0) 495 79.37
126 250(0) 192(189) 119(311) 250(0) 500 121.10
Total Distance 16136.07
717
Table B.43: IDH solution to MDSD8 with demand range [.3, .7].
Route Load Distance
1 0 176(170) 136(132) 226(198) 0 500 157.51
2 0 144(19) 239(188) 35(192) 152(94) 0 493 196.22
3 0 169(282) 181(178) 171(40) 0 500 90.32
4 0 29(177) 227(323) 0 500 80.29
5 0 218(153) 184(136) 192(189) 0 478 168.70
6 0 179(172) 46(287) 0 459 100.53
7 0 240(253) 107(247) 0 500 82.77
8 0 59(206) 162(162) 171(132) 0 500 105.73
9 0 147(329) 127(152) 0 481 199.50
10 0 60(333) 158(123) 109(44) 0 500 108.84
11 0 110(205) 41(293) 0 498 85.35
12 0 98(196) 240(84) 117(189) 0 469 68.92
13 0 14(288) 174(169) 0 457 55.98
14 0 20(228) 109(272) 0 500 78.90
15 0 215(254) 126(211) 0 465 148.66
16 0 37(162) 116(328) 0 490 126.30
17 0 196(226) 48(271) 0 497 38.13
18 0 144(329) 156(171) 0 500 169.20
19 0 78(2) 17(156) 175(312) 0 470 209.12
20 0 45(148) 88(124) 50(205) 0 477 154.03
21 0 132(188) 210(233) 0 421 102.04
22 0 51(277) 97(204) 0 481 118.44
23 0 111(239) 236(171) 0 410 33.05
24 0 243(166) 16(334) 0 500 115.26
25 0 151(281) 86(145) 88(74) 0 500 184.08
26 0 247(265) 149(173) 86(62) 0 500 204.78
27 0 219(164) 15(155) 102(163) 0 482 132.41
28 0 239(152) 119(311) 184(37) 0 500 190.53
29 0 23(192) 120(301) 0 493 46.82
30 0 67(209) 201(271) 0 480 143.74
31 0 165(161) 6(330) 0 491 81.85
32 0 105(244) 0 244 41.76
33 0 32(241) 78(259) 0 500 145.07
(cont.)
718
Table B.43 continued.
Route Load Distance
34 0 77(228) 91(236) 0 464 131.72
35 0 158(77) 159(231) 134(179) 29(10) 0 497 173.62
36 0 22(282) 44(218) 0 500 71.58
37 0 128(85) 93(250) 187(164) 0 499 97.79
38 0 174(112) 143(331) 0 443 45.61
39 0 200(150) 180(172) 63(161) 0 483 103.78
40 0 25(227) 104(273) 0 500 147.55
41 0 208(52) 246(348) 25(47) 44(45) 0 492 135.40
42 0 136(208) 233(259) 219(33) 0 500 149.65
43 0 85(300) 222(171) 0 471 49.11
44 0 94(297) 245(177) 0 474 178.00
45 0 92(167) 178(280) 0 447 51.62
46 0 243(150) 52(303) 162(33) 0 486 121.86
47 0 120(44) 152(246) 208(202) 0 492 133.16
48 0 74(273) 141(207) 0 480 152.66
49 0 212(312) 45(103) 128(83) 0 498 118.21
50 0 161(227) 216(265) 0 492 103.59
51 0 162(154) 75(346) 0 500 106.54
52 0 37(172) 199(294) 0 466 98.21
53 0 24(251) 40(242) 0 493 192.47
54 250(0) 224(231) 163(269) 250(0) 500 64.30
55 250(0) 82(121) 157(344) 224(35) 250(0) 500 75.15
56 250(0) 113(195) 103(283) 66(2) 250(0) 480 154.62
57 250(0) 203(264) 57(196) 250(0) 460 51.15
58 250(0) 43(169) 223(302) 250(0) 471 91.96
59 250(0) 131(208) 214(291) 250(0) 499 68.61
60 250(0) 42(213) 197(180) 10(101) 250(0) 494 124.53
61 250(0) 249(171) 237(309) 250(0) 480 88.52
62 250(0) 248(269) 189(194) 250(0) 463 79.59
63 250(0) 150(165) 220(335) 250(0) 500 76.55
64 250(0) 38(252) 176(78) 242(170) 250(0) 500 151.78
65 250(0) 206(225) 228(275) 250(0) 500 133.06
66 250(0) 27(32) 137(251) 173(199) 250(0) 482 115.89
(cont.)
719
Table B.43 continued.
Route Load Distance
67 250(0) 69(256) 177(217) 250(0) 473 85.68
68 250(0) 47(197) 55(303) 250(0) 500 169.45
69 250(0) 106(236) 121(238) 250(0) 474 106.20
70 250(0) 84(210) 39(261) 250(0) 471 144.82
71 250(0) 195(29) 18(223) 30(213) 54(35) 250(0) 500 128.78
72 250(0) 146(162) 135(177) 118(155) 250(0) 494 139.05
73 250(0) 235(124) 122(178) 62(192) 250(0) 494 106.69
74 250(0) 148(168) 170(288) 250(0) 456 29.19
75 250(0) 230(55) 153(203) 9(211) 250(0) 469 46.14
76 250(0) 230(189) 150(82) 36(229) 250(0) 500 73.90
77 250(0) 89(294) 167(165) 250(0) 459 69.01
78 250(0) 242(73) 56(343) 10(84) 250(0) 500 129.36
79 250(0) 235(89) 241(234) 11(160) 250(0) 483 70.34
80 250(0) 183(237) 58(243) 250(0) 480 58.17
81 250(0) 54(130) 207(217) 73(153) 250(0) 500 132.13
82 250(0) 112(16) 213(334) 96(150) 250(0) 500 147.67
83 250(0) 195(235) 2(248) 250(0) 483 46.75
84 250(0) 101(27) 131(126) 238(292) 250(0) 445 85.09
85 250(0) 11(113) 225(164) 82(223) 250(0) 500 84.36
86 250(0) 54(119) 27(152) 217(229) 250(0) 500 113.70
87 250(0) 64(327) 193(150) 250(0) 477 45.28
88 250(0) 118(7) 3(183) 190(310) 250(0) 500 139.68
89 250(0) 228(72) 53(188) 124(240) 250(0) 500 159.48
90 250(0) 66(252) 168(198) 47(50) 250(0) 500 164.15
91 250(0) 83(172) 206(83) 65(245) 250(0) 500 107.96
92 250(0) 101(196) 125(296) 250(0) 492 39.34
93 250(0) 177(77) 123(195) 8(225) 250(0) 497 137.52
94 250(0) 73(79) 198(161) 204(260) 250(0) 500 107.82
95 250(0) 10(68) 194(281) 80(151) 250(0) 500 134.97
96 250(0) 114(336) 250(0) 336 7.21
97 250(0) 166(289) 112(202) 250(0) 491 148.82
98 250(0) 26(197) 13(301) 250(0) 498 64.10
99 251(0) 160(274) 164(226) 251(0) 500 122.89
(cont.)
720
Table B.43 continued.
Route Load Distance
100 251(0) 79(159) 5(150) 133(151) 251(0) 460 92.98
101 251(0) 129(206) 49(270) 251(0) 476 129.29
102 251(0) 95(213) 28(250) 164(27) 251(0) 490 153.74
103 251(0) 12(247) 191(160) 79(93) 251(0) 500 113.67
104 251(0) 61(16) 130(321) 90(155) 251(0) 492 118.93
105 251(0) 34(191) 188(309) 251(0) 500 125.91
106 251(0) 231(270) 202(188) 251(0) 458 86.60
107 251(0) 234(213) 33(257) 251(0) 470 29.26
108 251(0) 186(198) 172(278) 251(0) 476 80.54
109 251(0) 209(101) 154(76) 76(288) 244(35) 251(0) 500 85.64
110 251(0) 154(158) 87(306) 251(0) 464 110.14
111 251(0) 185(179) 19(308) 251(0) 487 69.37
112 251(0) 205(197) 221(253) 251(0) 450 116.15
113 251(0) 140(177) 7(318) 251(0) 495 118.05
114 251(0) 4(47) 182(338) 34(66) 209(42) 251(0) 493 141.35
115 251(0) 232(333) 155(160) 251(0) 493 77.54
116 251(0) 1(276) 229(224) 251(0) 500 124.18
117 251(0) 185(92) 72(321) 251(0) 413 70.04
118 251(0) 100(325) 186(133) 138(28) 251(0) 486 56.32
119 251(0) 142(293) 68(178) 251(0) 471 41.50
120 251(0) 81(310) 4(190) 251(0) 500 69.08
121 251(0) 209(133) 70(156) 99(211) 251(0) 500 52.01
122 251(0) 108(241) 244(259) 251(0) 500 53.79
123 251(0) 61(193) 211(307) 251(0) 500 92.21
124 251(0) 145(346) 115(152) 251(0) 498 49.74
125 251(0) 138(158) 21(342) 251(0) 500 32.41
126 251(0) 31(199) 71(289) 251(0) 488 93.20
127 251(0) 229(120) 139(271) 68(109) 251(0) 500 112.16
Total Distance 13444.18
721
Table B.44: IDH solution to MDSD9 with demand range [.3, .7].
Route Load Distance
1 0 178(280) 92(167) 0 447 44.01
2 0 44(97) 199(294) 22(74) 0 465 92.08
3 0 109(316) 110(184) 0 500 81.18
4 0 105(244) 85(253) 0 497 63.19
5 0 20(228) 227(85) 29(187) 0 500 82.98
6 0 6(330) 165(161) 0 491 91.52
7 0 91(236) 77(228) 45(35) 0 499 131.34
8 0 212(312) 45(180) 0 492 113.65
9 0 158(200) 60(243) 110(21) 41(36) 0 500 106.20
10 0 98(196) 14(288) 0 484 60.74
11 0 51(277) 67(209) 0 486 128.27
12 0 88(198) 247(265) 240(26) 0 489 185.60
13 0 120(53) 22(208) 111(239) 0 500 60.50
14 0 44(166) 37(334) 0 500 91.91
15 0 86(207) 149(173) 151(120) 0 500 194.69
16 0 216(213) 46(287) 0 500 109.04
17 0 151(161) 94(297) 45(36) 0 494 176.43
18 0 132(58) 97(204) 227(238) 0 500 93.61
19 0 200(115) 245(177) 50(205) 0 497 172.86
20 0 210(233) 41(257) 0 490 65.66
21 0 117(189) 240(311) 0 500 59.08
22 0 174(281) 196(219) 0 500 39.27
23 0 143(331) 128(168) 0 499 62.49
24 0 60(90) 159(231) 134(179) 0 500 170.76
25 0 236(171) 120(292) 0 463 51.01
26 0 222(171) 169(282) 85(47) 0 500 93.38
27 0 132(130) 171(172) 181(178) 0 480 107.65
28 0 196(7) 179(172) 161(148) 187(164) 0 491 99.60
29 0 48(271) 23(192) 0 463 45.56
30 0 161(79) 216(52) 180(172) 63(161) 200(35) 0 499 114.77
31 0 107(247) 93(250) 0 497 115.98
32 250(0) 3(13) 215(254) 126(211) 250(0) 478 173.65
33 250(0) 121(238) 106(236) 248(26) 250(0) 500 193.33
(cont.)
722
Table B.44 continued.
Route Load Distance
34 250(0) 43(169) 223(302) 250(0) 471 48.46
35 250(0) 24(251) 40(242) 250(0) 493 123.49
36 250(0) 78(32) 32(241) 226(198) 250(0) 471 110.75
37 250(0) 102(163) 16(334) 250(0) 497 116.41
38 250(0) 47(1) 55(303) 168(176) 250(0) 480 68.46
39 250(0) 80(151) 194(281) 197(68) 250(0) 500 48.47
40 250(0) 9(116) 230(244) 26(134) 250(0) 494 138.97
41 250(0) 168(22) 17(156) 175(312) 250(0) 490 97.50
42 250(0) 103(283) 113(195) 250(0) 478 55.64
43 250(0) 248(243) 189(194) 153(63) 250(0) 500 170.57
44 250(0) 235(154) 82(344) 250(0) 498 64.14
45 250(0) 11(273) 241(227) 250(0) 500 44.54
46 250(0) 56(343) 250(0) 343 14.56
47 250(0) 62(68) 177(66) 190(310) 118(37) 250(0) 481 133.44
48 250(0) 47(246) 66(254) 250(0) 500 60.66
49 250(0) 241(7) 235(59) 224(142) 163(269) 225(16) 250(0) 493 92.41
50 250(0) 147(329) 127(152) 250(0) 481 172.29
51 250(0) 249(171) 237(309) 250(0) 480 79.31
52 250(0) 122(178) 39(261) 250(0) 439 68.60
53 250(0) 136(340) 176(7) 250(0) 347 75.88
54 250(0) 59(206) 75(294) 250(0) 500 107.25
55 250(0) 131(125) 238(292) 10(78) 250(0) 495 54.19
56 250(0) 233(259) 176(241) 250(0) 500 69.08
57 250(0) 57(196) 203(264) 250(0) 460 58.64
58 250(0) 193(24) 114(241) 148(168) 26(63) 250(0) 496 126.12
59 250(0) 3(170) 116(328) 250(0) 498 159.62
60 250(0) 13(41) 167(165) 89(294) 250(0) 500 143.52
61 250(0) 38(252) 242(243) 250(0) 495 35.01
62 250(0) 193(32) 64(327) 224(124) 250(0) 483 109.20
63 250(0) 157(344) 225(148) 250(0) 492 62.20
64 250(0) 69(256) 177(228) 250(0) 484 89.76
65 250(0) 75(52) 162(349) 250(0) 401 104.69
66 250(0) 243(316) 15(155) 250(0) 471 119.76
(cont.)
723
Table B.44 continued.
Route Load Distance
67 250(0) 84(210) 146(162) 62(124) 250(0) 496 101.64
68 250(0) 9(95) 153(140) 13(260) 250(0) 495 143.63
69 250(0) 123(195) 118(125) 135(177) 250(0) 497 118.18
70 250(0) 131(209) 214(291) 250(0) 500 47.31
71 250(0) 197(112) 42(213) 10(175) 250(0) 500 54.23
72 250(0) 114(95) 170(288) 101(113) 250(0) 496 128.50
73 250(0) 52(303) 219(197) 250(0) 500 103.73
74 250(0) 193(94) 101(110) 125(296) 250(0) 500 112.39
75 250(0) 78(229) 201(271) 250(0) 500 118.44
76 251(0) 183(237) 150(247) 251(0) 484 111.14
77 251(0) 204(57) 8(225) 112(218) 251(0) 500 130.09
78 251(0) 173(199) 27(184) 137(98) 251(0) 481 60.30
79 251(0) 49(260) 124(240) 251(0) 500 34.27
80 251(0) 228(347) 137(153) 251(0) 500 51.42
81 251(0) 18(223) 30(213) 251(0) 436 26.76
82 251(0) 96(150) 213(334) 207(16) 251(0) 500 112.79
83 251(0) 205(197) 31(199) 71(92) 251(0) 488 161.12
84 251(0) 207(201) 166(289) 251(0) 490 67.70
85 251(0) 12(247) 133(151) 251(0) 398 43.39
86 251(0) 204(203) 54(284) 251(0) 487 61.10
87 251(0) 83(172) 36(64) 65(245) 251(0) 481 110.79
88 251(0) 191(100) 72(321) 19(79) 251(0) 500 87.92
89 251(0) 49(10) 221(253) 129(206) 130(31) 251(0) 500 85.64
90 251(0) 220(335) 36(165) 251(0) 500 106.51
91 251(0) 191(60) 79(252) 5(150) 251(0) 462 61.16
92 251(0) 130(290) 61(209) 251(0) 499 71.40
93 251(0) 217(229) 195(264) 251(0) 493 98.15
94 251(0) 58(243) 2(248) 251(0) 491 125.23
95 251(0) 19(229) 185(271) 251(0) 500 78.16
96 251(0) 53(188) 206(308) 251(0) 496 90.51
97 251(0) 73(232) 198(161) 251(0) 393 63.59
98 251(0) 211(307) 90(155) 251(0) 462 65.61
99 252(0) 232(150) 231(270) 142(80) 252(0) 500 149.57
(cont.)
724
Table B.44 continued.
Route Load Distance
100 252(0) 218(153) 119(311) 239(32) 252(0) 496 118.24
101 252(0) 144(348) 156(64) 28(88) 252(0) 500 99.21
102 252(0) 7(20) 141(207) 104(273) 252(0) 500 120.21
103 252(0) 186(203) 172(278) 252(0) 481 89.45
104 252(0) 188(309) 252(0) 309 6.00
105 252(0) 244(70) 70(156) 99(211) 252(0) 437 95.71
106 252(0) 34(257) 95(213) 252(0) 470 26.99
107 252(0) 184(173) 192(189) 156(107) 252(0) 469 110.62
108 252(0) 154(205) 76(288) 252(0) 493 71.23
109 252(0) 208(254) 246(123) 160(114) 252(0) 491 98.77
110 252(0) 209(276) 244(224) 252(0) 500 92.32
111 252(0) 81(175) 100(325) 252(0) 500 66.38
112 252(0) 140(177) 74(273) 164(50) 252(0) 500 110.54
113 252(0) 182(338) 28(162) 252(0) 500 43.41
114 252(0) 164(203) 7(297) 252(0) 500 71.66
115 252(0) 139(271) 202(188) 252(0) 459 165.49
116 252(0) 1(276) 229(41) 232(183) 252(0) 500 207.71
117 252(0) 68(287) 142(213) 252(0) 500 126.24
118 252(0) 108(241) 155(160) 154(29) 252(0) 430 101.28
119 252(0) 186(128) 81(135) 4(237) 252(0) 500 66.36
120 252(0) 152(340) 160(160) 252(0) 500 103.73
121 252(0) 87(306) 252(0) 306 36.77
122 252(0) 239(308) 35(192) 252(0) 500 94.06
123 252(0) 138(30) 33(257) 234(213) 252(0) 500 129.23
124 252(0) 71(197) 229(303) 252(0) 500 189.64
125 252(0) 7(1) 25(274) 246(225) 252(0) 500 107.83
126 252(0) 115(152) 145(346) 252(0) 498 62.70
127 252(0) 138(156) 21(342) 252(0) 498 86.91
Total Distance 12176.61
725
Table B.45: IDH solution to MDSD10 with demand range [.3, .7].
Route Load Distance
1 0 109(95) 158(200) 110(205) 0 500 108.97
2 0 171(21) 181(178) 169(282) 0 481 90.32
3 0 105(103) 132(188) 97(204) 0 495 79.91
4 0 236(171) 111(239) 0 410 33.05
5 0 227(238) 109(221) 0 459 79.48
6 0 240(337) 98(163) 0 500 66.56
7 0 105(141) 60(333) 210(26) 0 500 103.12
8 0 117(189) 98(33) 107(247) 0 469 84.17
9 0 222(171) 85(300) 0 471 49.11
10 0 52(303) 243(176) 0 479 113.23
11 0 20(228) 227(85) 29(187) 0 500 85.46
12 0 174(212) 14(288) 0 500 55.98
13 0 128(168) 120(319) 0 487 65.68
14 0 23(192) 120(26) 22(282) 0 500 55.23
15 0 165(161) 6(330) 0 491 81.85
16 0 92(167) 178(280) 0 447 51.62
17 0 174(69) 143(331) 0 400 45.61
18 0 44(57) 37(334) 0 391 82.43
19 0 196(226) 48(271) 0 497 38.13
20 0 44(206) 199(294) 0 500 81.61
21 0 16(334) 243(140) 0 474 115.26
22 0 210(207) 41(293) 0 500 71.44
23 0 171(151) 162(349) 0 500 100.90
24 250(0) 226(198) 136(298) 250(0) 496 51.10
25 250(0) 51(277) 67(209) 250(0) 486 74.59
26 250(0) 24(251) 40(242) 250(0) 493 46.49
27 250(0) 42(213) 10(253) 250(0) 466 113.48
28 250(0) 75(164) 15(155) 102(163) 233(7) 250(0) 489 98.52
29 250(0) 201(259) 32(241) 250(0) 500 48.07
30 250(0) 75(182) 59(206) 250(0) 388 82.32
31 250(0) 242(243) 38(252) 250(0) 495 86.74
32 250(0) 197(180) 238(292) 250(0) 472 122.75
33 250(0) 233(252) 176(248) 250(0) 500 65.71
(cont.)
726
Table B.45 continued.
Route Load Distance
34 250(0) 55(50) 194(281) 80(151) 250(0) 482 80.97
35 250(0) 113(195) 103(283) 250(0) 478 68.40
36 250(0) 201(12) 134(179) 159(231) 250(0) 422 129.06
37 250(0) 168(198) 66(254) 250(0) 452 58.61
38 250(0) 11(273) 241(58) 225(164) 250(0) 495 123.16
39 250(0) 47(247) 55(253) 250(0) 500 39.90
40 250(0) 78(261) 250(0) 261 29.73
41 250(0) 17(156) 175(312) 250(0) 468 41.98
42 250(0) 43(169) 241(176) 214(131) 250(0) 476 143.09
43 250(0) 147(329) 127(152) 250(0) 481 93.71
44 250(0) 122(178) 223(302) 250(0) 480 109.77
45 250(0) 131(334) 214(160) 250(0) 494 127.59
46 250(0) 56(343) 250(0) 343 67.47
47 250(0) 136(42) 219(197) 39(261) 250(0) 500 101.44
48 251(0) 4(237) 164(253) 251(0) 490 136.32
49 251(0) 180(172) 200(150) 63(161) 251(0) 483 89.01
50 251(0) 156(11) 104(273) 141(207) 251(0) 491 148.95
51 251(0) 34(66) 87(306) 95(71) 28(57) 251(0) 500 104.85
52 251(0) 239(304) 35(192) 251(0) 496 25.32
53 251(0) 25(151) 116(328) 251(0) 479 165.73
54 251(0) 187(164) 212(312) 77(11) 251(0) 487 130.41
55 251(0) 95(142) 182(338) 251(0) 480 62.32
56 251(0) 161(227) 216(265) 251(0) 492 91.61
57 251(0) 179(172) 45(251) 93(37) 251(0) 460 116.40
58 251(0) 126(211) 215(254) 251(0) 465 176.72
59 251(0) 94(235) 245(92) 184(173) 251(0) 500 79.27
60 251(0) 93(213) 46(287) 251(0) 500 84.66
61 251(0) 7(50) 74(273) 140(177) 251(0) 500 154.86
62 251(0) 218(153) 119(311) 239(36) 251(0) 500 38.68
63 251(0) 28(193) 7(268) 160(28) 251(0) 489 110.17
64 251(0) 192(152) 144(348) 251(0) 500 30.45
65 251(0) 149(173) 247(265) 94(62) 251(0) 500 122.19
66 251(0) 91(236) 77(217) 192(37) 251(0) 490 87.59
(cont.)
727
Table B.45 continued.
Route Load Distance
67 251(0) 156(160) 152(340) 251(0) 500 65.69
68 251(0) 246(348) 25(123) 251(0) 471 120.15
69 251(0) 50(205) 88(198) 245(85) 251(0) 488 87.80
70 251(0) 160(246) 208(254) 251(0) 500 108.36
71 251(0) 34(191) 188(309) 251(0) 500 82.30
72 251(0) 151(281) 86(207) 251(0) 488 91.21
73 252(0) 36(64) 150(199) 183(237) 252(0) 500 84.14
74 252(0) 73(232) 204(260) 252(0) 492 41.71
75 252(0) 96(57) 112(218) 8(225) 252(0) 500 103.29
76 252(0) 83(172) 206(308) 252(0) 480 66.34
77 252(0) 13(301) 26(197) 252(0) 498 137.78
78 252(0) 65(245) 53(188) 228(67) 252(0) 500 104.74
79 252(0) 228(280) 173(199) 252(0) 479 66.08
80 252(0) 124(240) 137(251) 252(0) 491 64.03
81 252(0) 248(269) 189(183) 150(48) 252(0) 500 131.31
82 252(0) 54(284) 27(184) 252(0) 468 34.53
83 252(0) 69(256) 135(49) 123(195) 252(0) 500 134.38
84 252(0) 237(309) 177(191) 252(0) 500 100.75
85 252(0) 121(238) 106(236) 189(11) 252(0) 485 156.42
86 252(0) 153(203) 9(170) 170(124) 252(0) 497 106.41
87 252(0) 177(103) 62(192) 249(171) 252(0) 466 108.74
88 252(0) 18(223) 30(213) 252(0) 436 46.31
89 252(0) 125(132) 64(327) 252(0) 459 72.70
90 252(0) 135(128) 84(210) 146(162) 252(0) 500 137.33
91 252(0) 235(213) 82(188) 224(35) 252(0) 436 115.70
92 252(0) 114(336) 170(164) 252(0) 500 88.59
93 252(0) 195(264) 2(160) 252(0) 424 61.37
94 252(0) 58(243) 217(229) 252(0) 472 77.04
95 252(0) 220(335) 36(165) 252(0) 500 82.60
96 252(0) 163(269) 224(231) 252(0) 500 82.74
97 252(0) 193(40) 203(264) 57(196) 252(0) 500 124.26
98 252(0) 157(344) 82(156) 252(0) 500 106.08
99 252(0) 101(223) 193(110) 125(164) 252(0) 497 96.69
(cont.)
728
Table B.45 continued.
Route Load Distance
100 252(0) 89(294) 167(165) 9(41) 252(0) 500 138.42
101 252(0) 3(183) 190(310) 252(0) 493 120.61
102 252(0) 213(334) 118(162) 252(0) 496 132.05
103 252(0) 230(244) 148(168) 2(88) 252(0) 500 95.53
104 252(0) 207(217) 96(93) 198(161) 252(0) 471 68.47
105 253(0) 244(52) 76(288) 155(160) 253(0) 500 170.83
106 253(0) 191(160) 133(151) 5(150) 253(0) 461 25.37
107 253(0) 139(271) 202(188) 231(41) 253(0) 500 161.81
108 253(0) 33(9) 232(333) 142(158) 253(0) 500 129.68
109 253(0) 211(307) 61(179) 253(0) 486 52.93
110 253(0) 19(229) 185(271) 253(0) 500 30.55
111 253(0) 12(17) 130(321) 90(155) 253(0) 493 74.87
112 253(0) 129(206) 221(253) 61(30) 253(0) 489 81.29
113 253(0) 19(79) 72(321) 253(0) 400 39.70
114 253(0) 115(152) 145(346) 253(0) 498 120.42
115 253(0) 209(276) 100(224) 253(0) 500 113.76
116 253(0) 138(158) 21(342) 253(0) 500 88.00
117 253(0) 142(135) 231(229) 99(136) 253(0) 500 159.41
118 253(0) 172(278) 186(222) 253(0) 500 111.45
119 253(0) 49(270) 12(230) 253(0) 500 45.65
120 253(0) 71(163) 1(276) 253(0) 439 172.99
121 253(0) 229(344) 71(126) 253(0) 470 148.16
122 253(0) 186(109) 81(310) 100(53) 138(28) 253(0) 500 122.66
123 253(0) 33(248) 79(252) 253(0) 500 61.68
124 253(0) 68(287) 234(213) 253(0) 500 112.04
125 253(0) 99(75) 70(156) 108(220) 100(48) 253(0) 499 145.65
126 253(0) 166(289) 253(0) 289 45.61
127 253(0) 244(242) 108(21) 154(234) 253(0) 497 161.63
128 253(0) 31(199) 205(197) 253(0) 396 113.53
Total Distance 11831.52
729
Table B.46: IDH solution to MDSD1 with demand range [.7, .9].
Route Load Distance
1 0 4(69) 0 69 12.00
2 0 41(24) 13(56) 0 80 35.69
3 0 44(17) 15(63) 0 80 33.76
4 0 37(57) 17(18) 0 75 24.88
5 0 41(34) 19(46) 0 80 25.34
6 0 19(15) 40(59) 0 74 41.05
7 0 42(65) 0 65 20.10
8 0 17(40) 44(40) 0 80 27.34
9 51(0) 11(69) 51(0) 69 24.08
10 51(0) 7(45) 8(35) 51(0) 80 62.48
11 51(0) 6(21) 23(59) 51(0) 80 44.60
12 51(0) 32(67) 51(0) 67 20.00
13 51(0) 8(20) 31(60) 51(0) 80 61.08
14 51(0) 18(60) 51(0) 60 29.53
15 51(0) 12(69) 51(0) 69 16.12
16 51(0) 7(14) 43(66) 51(0) 80 73.12
17 51(0) 6(18) 48(59) 51(0) 77 36.16
18 51(0) 46(59) 51(0) 59 4.47
19 51(0) 1(65) 51(0) 65 27.78
20 51(0) 8(4) 26(64) 51(0) 68 57.39
21 51(0) 6(17) 24(62) 51(0) 79 50.39
22 51(0) 25(68) 51(0) 68 46.17
23 51(0) 14(68) 51(0) 68 36.22
24 51(0) 27(70) 51(0) 70 16.00
25 51(0) 47(65) 51(0) 65 18.87
26 52(0) 49(12) 5(63) 52(0) 75 21.07
27 52(0) 16(57) 9(23) 52(0) 80 22.79
28 52(0) 49(23) 10(57) 52(0) 80 19.50
29 52(0) 9(11) 30(69) 52(0) 80 20.63
30 52(0) 49(12) 33(68) 52(0) 80 41.34
31 52(0) 9(13) 34(58) 52(0) 71 24.01
32 52(0) 38(64) 52(0) 64 14.14
33 52(0) 10(9) 39(71) 52(0) 80 36.55
(cont.)
730
Table B.46 continued.
Route Load Distance
34 52(0) 45(58) 49(22) 52(0) 80 45.78
35 52(0) 9(23) 50(57) 52(0) 80 18.48
36 53(0) 2(62) 53(0) 62 22.09
37 53(0) 3(63) 20(17) 53(0) 80 32.48
38 53(0) 21(70) 53(0) 70 16.49
39 53(0) 20(13) 22(67) 53(0) 80 42.89
40 53(0) 20(14) 28(66) 53(0) 80 49.23
41 53(0) 29(63) 53(0) 63 5.66
42 53(0) 20(26) 35(54) 53(0) 80 28.77
43 53(0) 35(10) 36(59) 53(0) 69 38.47
Total Distance 1344.99
731
Table B.47: IDH solution to MDSD2 with demand range [.7, .9].
Route Load Distance
1 0 75(30) 4(110) 0 140 15.46
2 0 6(122) 0 122 18.44
3 0 26(110) 0 110 12.17
4 0 75(59) 34(81) 0 140 23.44
5 0 46(125) 0 125 22.36
6 0 34(40) 52(100) 0 140 28.61
7 0 67(123) 0 123 10.77
8 0 75(25) 68(112) 0 137 14.75
9 76(0) 48(118) 76(0) 118 4.47
10 76(0) 29(41) 13(99) 76(0) 140 35.62
11 76(0) 5(48) 15(92) 76(0) 140 25.61
12 76(0) 36(29) 71(111) 76(0) 140 38.96
13 76(0) 74(62) 21(78) 76(0) 140 29.08
14 76(0) 27(106) 29(34) 76(0) 140 26.02
15 76(0) 36(7) 70(111) 37(20) 76(0) 138 46.24
16 76(0) 47(107) 76(0) 107 14.00
17 76(0) 5(38) 37(102) 76(0) 140 24.66
18 76(0) 29(40) 45(100) 76(0) 140 16.94
19 76(0) 21(22) 61(118) 76(0) 140 42.71
20 76(0) 74(9) 28(125) 76(0) 134 32.76
21 76(0) 15(33) 57(107) 76(0) 140 32.22
22 76(0) 36(36) 60(104) 76(0) 140 47.11
23 76(0) 30(122) 76(0) 122 16.12
24 76(0) 36(30) 69(110) 76(0) 140 37.86
25 76(0) 5(27) 20(113) 76(0) 140 35.80
26 76(0) 74(28) 2(112) 76(0) 140 31.97
27 77(0) 35(28) 8(112) 77(0) 140 20.00
28 77(0) 38(27) 10(113) 77(0) 140 39.20
29 77(0) 65(116) 11(24) 77(0) 140 32.88
30 77(0) 14(118) 77(0) 118 14.56
31 77(0) 35(53) 19(87) 77(0) 140 22.18
32 77(0) 7(114) 35(26) 77(0) 140 17.07
33 77(0) 11(60) 38(80) 77(0) 140 31.66
(cont.)
732
Table B.47 continued.
Route Load Distance
34 77(0) 53(119) 77(0) 119 4.00
35 77(0) 19(12) 54(122) 77(0) 134 36.94
36 77(0) 58(110) 77(0) 110 31.62
37 77(0) 59(115) 77(0) 115 34.99
38 77(0) 11(27) 66(108) 77(0) 135 34.40
39 78(0) 44(90) 3(50) 78(0) 140 12.00
40 78(0) 40(35) 9(105) 78(0) 140 30.96
41 78(0) 16(107) 78(0) 107 19.70
42 78(0) 17(123) 78(0) 123 16.12
43 78(0) 50(31) 18(109) 78(0) 140 40.28
44 78(0) 3(31) 24(109) 78(0) 140 36.25
45 78(0) 9(8) 31(116) 78(0) 124 63.33
46 78(0) 40(22) 39(118) 78(0) 140 32.88
47 78(0) 12(104) 40(36) 78(0) 140 23.83
48 78(0) 32(115) 44(25) 78(0) 140 18.64
49 78(0) 3(30) 49(110) 78(0) 140 30.17
50 78(0) 25(99) 50(32) 78(0) 131 43.73
51 78(0) 51(116) 78(0) 116 14.42
52 78(0) 50(35) 55(105) 78(0) 140 58.89
53 78(0) 40(20) 72(120) 78(0) 140 36.28
54 79(0) 1(115) 79(0) 115 5.66
55 79(0) 22(124) 79(0) 124 18.44
56 79(0) 33(123) 79(0) 123 21.63
57 79(0) 43(26) 41(114) 79(0) 140 17.14
58 79(0) 43(67) 42(73) 79(0) 140 17.03
59 79(0) 23(104) 43(31) 79(0) 135 26.46
60 79(0) 56(122) 79(0) 122 29.73
61 79(0) 62(105) 79(0) 105 20.00
62 79(0) 63(120) 79(0) 120 20.00
63 79(0) 42(27) 64(113) 79(0) 140 32.62
64 79(0) 73(118) 79(0) 118 16.12
Total Distance 1705.98
733
Table B.48: IDH solution to MDSD3 with demand range [.7, .9].
Route Load Distance
1 0 87(72) 0 72 14.56
2 0 56(52) 4(48) 0 100 47.94
3 0 61(74) 91(26) 0 100 49.20
4 0 55(75) 4(15) 21(10) 0 100 56.70
5 0 16(75) 91(25) 0 100 50.12
6 0 85(84) 92(16) 0 100 38.26
7 0 75(57) 22(43) 0 100 34.91
8 0 13(73) 0 73 14.14
9 0 2(78) 0 78 6.00
10 0 99(77) 59(20) 0 97 32.95
11 0 56(12) 67(88) 0 100 70.69
12 0 22(27) 41(73) 0 100 33.15
13 0 73(21) 74(79) 0 100 27.00
14 0 21(18) 72(82) 0 100 27.12
15 0 14(63) 42(37) 0 100 45.18
16 0 75(28) 23(72) 0 100 50.13
17 0 97(15) 95(85) 0 100 23.82
18 0 4(16) 25(84) 0 100 60.00
19 0 21(14) 40(84) 0 98 24.14
20 0 57(84) 0 84 17.09
21 0 58(82) 0 82 12.17
22 0 59(23) 98(72) 0 95 34.20
23 0 21(34) 73(66) 0 100 22.65
24 0 42(27) 15(73) 0 100 38.63
25 0 44(76) 91(24) 0 100 51.17
26 0 86(88) 91(11) 0 99 62.13
27 0 97(38) 92(62) 0 100 26.37
28 0 59(30) 93(70) 0 100 35.02
29 0 42(23) 43(77) 0 100 43.47
30 0 56(14) 39(86) 0 100 52.95
31 0 97(14) 100(86) 0 100 34.78
32 0 97(14) 37(86) 0 100 30.15
33 0 38(82) 14(13) 0 95 67.08
(cont.)
734
Table B.48 continued.
Route Load Distance
34 101(0) 70(61) 30(39) 101(0) 100 51.59
35 101(0) 26(80) 101(0) 80 22.36
36 101(0) 84(26) 17(73) 101(0) 99 60.83
37 101(0) 19(53) 7(47) 101(0) 100 64.41
38 101(0) 82(60) 8(40) 101(0) 100 55.98
39 101(0) 51(28) 9(72) 101(0) 100 65.27
40 101(0) 19(35) 11(65) 101(0) 100 72.63
41 101(0) 89(14) 18(86) 101(0) 100 32.62
42 101(0) 51(39) 20(61) 101(0) 100 66.61
43 101(0) 24(82) 80(18) 101(0) 100 60.31
44 101(0) 60(13) 83(87) 101(0) 100 43.37
45 101(0) 27(71) 101(0) 71 10.00
46 101(0) 12(17) 54(83) 101(0) 100 47.02
47 101(0) 78(60) 79(40) 101(0) 100 62.28
48 101(0) 32(75) 30(25) 101(0) 100 69.79
49 101(0) 10(71) 31(29) 101(0) 100 51.02
50 101(0) 76(87) 101(0) 87 31.30
51 101(0) 78(18) 34(82) 101(0) 100 72.12
52 101(0) 47(20) 36(80) 101(0) 100 82.82
53 101(0) 8(16) 45(84) 101(0) 100 61.81
54 101(0) 8(17) 46(83) 101(0) 100 71.15
55 101(0) 48(59) 7(23) 52(18) 101(0) 100 56.30
56 101(0) 49(88) 101(0) 88 87.86
57 101(0) 1(23) 50(77) 101(0) 100 38.53
58 101(0) 31(41) 88(57) 101(0) 98 41.70
59 101(0) 12(13) 68(87) 101(0) 100 43.59
60 101(0) 33(13) 65(87) 101(0) 100 101.26
61 101(0) 5(75) 60(25) 101(0) 100 43.12
62 101(0) 88(27) 62(73) 101(0) 100 51.06
63 101(0) 11(13) 64(87) 101(0) 100 93.06
64 101(0) 30(10) 66(75) 20(15) 101(0) 100 81.87
65 101(0) 6(29) 94(71) 101(0) 100 26.38
66 101(0) 1(59) 69(41) 101(0) 100 31.87
(cont.)
735
Table B.48 continued.
Route Load Distance
67 101(0) 90(81) 70(19) 101(0) 100 65.87
68 101(0) 51(19) 71(81) 101(0) 100 79.39
69 101(0) 77(17) 3(83) 101(0) 100 44.89
70 101(0) 33(36) 81(64) 101(0) 100 55.17
71 101(0) 33(26) 29(74) 101(0) 100 69.46
72 101(0) 77(56) 79(44) 101(0) 100 51.65
73 101(0) 12(44) 80(53) 101(0) 97 42.42
74 101(0) 35(78) 81(22) 101(0) 100 82.22
75 101(0) 82(26) 47(63) 48(11) 101(0) 100 68.93
76 101(0) 6(26) 96(71) 101(0) 97 30.69
77 101(0) 60(47) 84(53) 101(0) 100 49.07
78 101(0) 69(43) 52(57) 101(0) 100 34.25
79 101(0) 53(71) 101(0) 71 8.94
80 101(0) 10(13) 63(83) 90(4) 101(0) 100 71.70
81 101(0) 6(28) 89(72) 101(0) 100 25.28
82 101(0) 28(80) 101(0) 80 12.65
Total Distance 3878.34
736
Table B.49: IDH solution to MDSD4 with demand range [.7, .9].
Route Load Distance
1 0 97(50) 42(150) 0 200 50.96
2 0 44(50) 43(150) 0 200 70.64
3 0 52(159) 0 159 28.84
4 0 47(31) 49(169) 0 200 68.51
5 0 63(111) 11(89) 0 200 74.53
6 0 6(56) 89(144) 0 200 27.28
7 0 44(36) 38(153) 0 189 63.82
8 0 91(19) 14(162) 0 181 50.00
9 0 5(166) 0 166 10.00
10 0 60(157) 0 157 4.47
11 0 84(173) 0 173 11.31
12 0 57(179) 0 179 57.20
13 0 88(29) 31(171) 0 200 48.59
14 0 97(39) 87(161) 0 200 42.85
15 0 45(164) 0 164 18.97
16 0 92(21) 15(154) 42(18) 0 193 67.47
17 0 48(174) 0 174 34.23
18 0 47(80) 46(120) 0 200 50.52
19 0 82(21) 19(172) 0 193 50.00
20 0 7(48) 82(152) 0 200 33.64
21 0 99(96) 59(104) 0 200 25.06
22 0 90(143) 63(34) 0 177 76.30
23 0 17(169) 0 169 22.36
24 0 44(57) 86(143) 0 200 49.69
25 0 92(156) 59(42) 0 198 29.53
26 0 11(58) 64(142) 0 200 85.41
27 0 61(167) 0 167 22.80
28 0 93(166) 0 166 22.80
29 0 83(153) 0 153 4.47
30 0 16(171) 0 171 31.62
31 0 85(32) 100(168) 0 200 34.77
32 0 88(22) 10(178) 0 200 58.35
33 0 7(92) 88(108) 0 200 42.38
(cont.)
737
Table B.49 continued.
Route Load Distance
34 0 97(57) 37(143) 0 200 38.12
35 0 85(74) 91(126) 0 200 32.20
36 0 18(143) 0 143 14.14
37 0 99(44) 96(143) 0 187 23.16
38 0 6(120) 94(71) 0 191 27.94
39 0 47(41) 36(157) 0 198 57.53
40 0 94(48) 13(152) 0 200 36.10
41 0 7(38) 62(162) 0 200 49.45
42 0 46(36) 8(161) 0 197 37.25
43 0 94(48) 95(152) 0 200 31.63
44 0 98(149) 85(38) 0 187 30.76
45 101(0) 70(145) 1(55) 101(0) 200 55.52
46 101(0) 40(41) 2(159) 101(0) 200 54.37
47 101(0) 77(89) 3(111) 101(0) 200 21.07
48 101(0) 12(34) 28(166) 101(0) 200 28.36
49 101(0) 66(169) 9(31) 101(0) 200 77.79
50 101(0) 54(82) 12(118) 101(0) 200 20.54
51 101(0) 72(78) 21(122) 101(0) 200 43.12
52 101(0) 21(34) 73(166) 101(0) 200 42.29
53 101(0) 24(169) 101(0) 169 20.00
54 101(0) 80(146) 101(0) 146 4.47
55 101(0) 53(157) 26(43) 101(0) 200 37.68
56 101(0) 27(175) 101(0) 175 41.23
57 101(0) 55(21) 25(176) 101(0) 197 36.06
58 101(0) 78(37) 35(163) 101(0) 200 62.23
59 101(0) 1(64) 30(135) 101(0) 199 60.00
60 101(0) 30(27) 32(173) 101(0) 200 78.90
61 101(0) 78(116) 33(83) 101(0) 199 43.14
62 101(0) 81(43) 34(157) 101(0) 200 51.41
63 101(0) 3(29) 79(163) 101(0) 192 26.76
64 101(0) 56(92) 39(108) 101(0) 200 53.62
65 101(0) 26(99) 40(100) 101(0) 199 36.28
66 101(0) 4(165) 101(0) 165 30.00
(cont.)
738
Table B.49 continued.
Route Load Distance
67 101(0) 20(166) 51(34) 101(0) 200 63.45
68 101(0) 54(67) 55(133) 101(0) 200 29.23
69 101(0) 75(126) 56(62) 101(0) 188 51.95
70 101(0) 58(167) 101(0) 167 42.05
71 101(0) 71(22) 65(178) 101(0) 200 85.94
72 101(0) 39(35) 67(165) 101(0) 200 65.75
73 101(0) 68(173) 101(0) 173 8.25
74 101(0) 1(45) 69(155) 101(0) 200 45.90
75 101(0) 9(51) 71(149) 101(0) 200 66.31
76 101(0) 23(177) 75(23) 101(0) 200 63.22
77 101(0) 74(21) 22(164) 101(0) 185 53.86
78 101(0) 72(55) 74(145) 101(0) 200 47.55
79 101(0) 41(175) 72(25) 101(0) 200 61.78
80 101(0) 76(124) 77(76) 101(0) 200 21.59
81 101(0) 9(70) 51(117) 101(0) 187 55.09
82 101(0) 76(53) 50(147) 101(0) 200 29.03
83 101(0) 29(142) 101(0) 142 22.80
84 101(0) 33(72) 81(118) 101(0) 190 38.95
Total Distance 3525.24
739
Table B.50: IDH solution to MDSD5 with demand range [.7, .9].
Route Load Distance
1 0 84(50) 5(42) 0 92 25.83
2 0 94(28) 6(72) 0 100 30.34
3 0 14(82) 0 82 20.00
4 0 42(28) 15(72) 0 100 42.47
5 0 44(68) 16(32) 0 100 18.29
6 0 37(84) 0 84 10.00
7 0 44(19) 38(80) 0 99 36.06
8 0 57(87) 42(13) 0 100 38.83
9 0 42(19) 43(74) 0 93 39.89
10 0 84(23) 45(77) 0 100 40.43
11 0 92(76) 59(21) 0 97 16.73
12 0 5(15) 60(85) 0 100 28.61
13 0 16(17) 61(83) 0 100 14.47
14 0 5(29) 83(71) 0 100 34.10
15 0 17(88) 84(12) 0 100 31.93
16 0 85(85) 0 85 4.47
17 0 16(22) 86(78) 0 100 22.50
18 0 42(27) 87(73) 0 100 32.41
19 0 91(70) 0 70 2.00
20 0 59(66) 93(34) 0 100 15.21
21 0 95(46) 94(54) 0 100 26.97
22 0 13(71) 95(25) 0 96 31.68
23 0 93(22) 96(78) 0 100 19.90
24 0 97(87) 0 87 20.10
25 0 98(84) 0 84 8.25
26 0 93(19) 99(81) 0 100 15.64
27 0 100(87) 0 87 7.21
28 101(0) 74(18) 41(82) 101(0) 100 30.54
29 101(0) 80(28) 68(71) 101(0) 99 39.95
30 101(0) 26(24) 12(76) 101(0) 100 33.25
31 101(0) 67(89) 39(6) 101(0) 95 45.38
32 101(0) 73(15) 2(85) 101(0) 100 31.01
33 101(0) 54(28) 29(72) 101(0) 100 52.24
(cont.)
740
Table B.50 continued.
Route Load Distance
34 101(0) 26(17) 28(83) 101(0) 100 38.48
35 101(0) 4(89) 101(0) 89 10.00
36 101(0) 40(17) 53(83) 101(0) 100 34.92
37 101(0) 21(88) 101(0) 88 10.00
38 101(0) 26(37) 40(63) 101(0) 100 29.43
39 101(0) 39(20) 23(80) 101(0) 100 37.22
40 101(0) 56(84) 101(0) 84 17.09
41 101(0) 80(56) 54(44) 101(0) 100 37.49
42 101(0) 39(53) 55(47) 101(0) 100 37.55
43 101(0) 25(77) 55(23) 101(0) 100 31.95
44 101(0) 75(70) 101(0) 70 18.11
45 101(0) 58(79) 40(5) 101(0) 84 30.53
46 101(0) 74(24) 22(76) 101(0) 100 22.40
47 101(0) 74(40) 73(56) 101(0) 96 19.24
48 101(0) 24(87) 101(0) 87 42.43
49 101(0) 72(83) 101(0) 83 10.00
50 102(0) 1(82) 102(0) 82 16.97
51 102(0) 50(21) 3(79) 102(0) 100 45.03
52 102(0) 88(12) 7(88) 102(0) 100 31.62
53 102(0) 48(17) 8(83) 102(0) 100 59.42
54 102(0) 51(23) 9(77) 102(0) 100 41.26
55 102(0) 62(73) 10(27) 102(0) 100 24.80
56 102(0) 49(70) 11(24) 102(0) 94 64.13
57 102(0) 18(84) 102(0) 84 42.43
58 102(0) 11(23) 19(77) 102(0) 100 45.71
59 102(0) 71(65) 20(25) 102(0) 90 52.07
60 102(0) 69(23) 27(77) 102(0) 100 30.53
61 102(0) 30(85) 102(0) 85 14.14
62 102(0) 69(36) 31(64) 102(0) 100 21.06
63 102(0) 90(16) 32(75) 102(0) 91 31.12
64 102(0) 35(89) 33(11) 102(0) 100 64.38
65 102(0) 78(24) 34(75) 102(0) 99 61.17
66 102(0) 47(22) 36(70) 102(0) 92 67.61
(cont.)
741
Table B.50 continued.
Route Load Distance
67 102(0) 48(19) 46(81) 102(0) 100 67.64
68 102(0) 47(52) 48(48) 102(0) 100 55.63
69 102(0) 81(78) 50(12) 102(0) 90 45.08
70 102(0) 20(38) 51(62) 102(0) 100 36.52
71 102(0) 52(88) 102(0) 88 28.84
72 102(0) 10(17) 63(83) 102(0) 100 32.68
73 102(0) 11(25) 64(75) 102(0) 100 60.76
74 102(0) 71(21) 65(79) 102(0) 100 70.68
75 102(0) 20(23) 66(77) 102(0) 100 45.89
76 102(0) 89(78) 69(22) 102(0) 100 46.46
77 102(0) 70(79) 102(0) 79 4.47
78 102(0) 50(15) 76(85) 102(0) 100 38.91
79 102(0) 50(23) 77(77) 102(0) 100 43.27
80 102(0) 33(45) 78(55) 102(0) 100 52.42
81 102(0) 33(26) 79(74) 102(0) 100 46.99
82 102(0) 82(84) 102(0) 84 43.08
83 102(0) 31(20) 88(76) 102(0) 96 19.49
84 102(0) 10(27) 90(73) 102(0) 100 26.79
Total Distance 2772.58
742
Table B.51: IDH solution to MDSD6 with demand range [.7, .9].
Route Load Distance
1 0 61(23) 16(77) 0 100 31.69
2 0 61(44) 85(56) 0 100 28.91
3 0 96(41) 6(48) 0 89 26.05
4 0 47(13) 36(75) 0 88 57.53
5 0 17(88) 0 88 22.36
6 0 83(20) 18(78) 0 98 16.02
7 0 82(24) 48(76) 0 100 34.50
8 0 46(73) 8(27) 0 100 37.25
9 0 47(14) 49(86) 0 100 68.51
10 0 93(87) 0 87 22.80
11 0 99(17) 59(83) 0 100 25.06
12 0 60(89) 0 89 4.47
13 0 47(45) 82(55) 0 100 45.54
14 0 61(13) 86(84) 0 97 41.65
15 0 84(89) 0 89 11.31
16 0 83(43) 8(57) 0 100 18.88
17 0 83(17) 45(83) 0 100 19.79
18 0 6(29) 89(71) 0 100 27.28
19 0 85(26) 91(74) 0 100 32.20
20 0 5(83) 0 83 10.00
21 0 99(60) 96(40) 0 100 23.16
22 101(0) 68(5) 79(39) 3(56) 101(0) 100 26.78
23 101(0) 54(37) 12(63) 101(0) 100 20.54
24 101(0) 54(25) 4(75) 101(0) 100 30.54
25 101(0) 25(89) 101(0) 89 36.06
26 101(0) 78(14) 34(86) 101(0) 100 45.39
27 101(0) 76(89) 101(0) 89 18.44
28 101(0) 80(24) 24(76) 101(0) 100 21.46
29 101(0) 12(14) 28(86) 101(0) 100 28.36
30 101(0) 3(23) 33(77) 101(0) 100 34.40
31 101(0) 80(22) 68(78) 101(0) 100 8.36
32 101(0) 80(10) 77(86) 101(0) 96 17.19
33 101(0) 80(20) 29(80) 101(0) 100 23.07
(cont.)
743
Table B.51 continued.
Route Load Distance
34 101(0) 55(73) 54(27) 101(0) 100 29.23
35 101(0) 79(35) 78(65) 101(0) 100 36.84
36 101(0) 26(75) 101(0) 75 22.36
37 102(0) 14(13) 38(87) 102(0) 100 67.08
38 102(0) 57(58) 2(40) 102(0) 98 17.37
39 102(0) 97(5) 98(70) 37(25) 102(0) 100 32.46
40 102(0) 42(82) 102(0) 82 27.20
41 102(0) 74(26) 21(74) 102(0) 100 30.11
42 102(0) 74(48) 22(52) 102(0) 100 30.34
43 102(0) 75(10) 23(83) 102(0) 93 50.13
44 102(0) 40(88) 102(0) 88 14.14
45 102(0) 73(12) 72(88) 102(0) 100 25.30
46 102(0) 94(75) 13(25) 102(0) 100 22.94
47 102(0) 41(80) 22(20) 102(0) 100 33.15
48 102(0) 73(60) 2(34) 102(0) 94 21.49
49 102(0) 58(30) 53(70) 102(0) 100 22.36
50 102(0) 44(81) 100(19) 102(0) 100 49.92
51 102(0) 58(58) 13(42) 102(0) 100 19.24
52 102(0) 92(73) 97(27) 102(0) 100 26.37
53 102(0) 56(22) 67(78) 102(0) 100 70.69
54 102(0) 57(12) 15(88) 102(0) 100 31.64
55 102(0) 56(36) 75(64) 102(0) 100 40.46
56 102(0) 14(73) 100(21) 102(0) 94 48.02
57 102(0) 97(52) 87(48) 102(0) 100 21.57
58 102(0) 56(18) 39(82) 102(0) 100 52.95
59 102(0) 43(77) 87(23) 102(0) 100 43.90
60 102(0) 13(18) 95(82) 102(0) 100 22.94
61 102(0) 37(54) 100(46) 102(0) 100 34.95
62 103(0) 71(15) 65(85) 103(0) 100 76.90
63 103(0) 20(21) 66(79) 103(0) 100 53.90
64 103(0) 30(17) 32(83) 103(0) 100 40.48
65 103(0) 7(71) 103(0) 71 30.00
66 103(0) 62(37) 11(63) 103(0) 100 42.88
(cont.)
744
Table B.51 continued.
Route Load Distance
67 103(0) 51(23) 81(77) 103(0) 100 43.73
68 103(0) 69(39) 1(59) 103(0) 98 14.16
69 103(0) 69(30) 27(70) 103(0) 100 20.89
70 103(0) 62(24) 63(76) 103(0) 100 45.62
71 103(0) 1(23) 50(77) 103(0) 100 24.78
72 103(0) 11(25) 64(75) 103(0) 100 67.81
73 103(0) 30(22) 90(78) 103(0) 100 40.05
74 103(0) 71(70) 51(30) 103(0) 100 57.36
75 103(0) 62(14) 19(86) 103(0) 100 45.18
76 103(0) 31(84) 103(0) 84 8.94
77 103(0) 51(13) 35(85) 103(0) 98 63.54
78 103(0) 69(19) 52(81) 103(0) 100 25.01
79 103(0) 51(20) 9(80) 103(0) 100 44.81
80 103(0) 20(57) 30(33) 103(0) 90 36.28
81 103(0) 70(82) 103(0) 82 12.65
82 103(0) 10(86) 103(0) 86 22.36
83 103(0) 88(89) 103(0) 89 18.44
Total Distance 2696.47
745
Table B.52: IDH solution to MDSD7 with demand range [.7, .9].
Route Load Distance
1 0 213(441) 112(59) 0 500 80.38
2 0 64(393) 0 393 27.20
3 0 62(449) 0 449 45.69
4 0 2(443) 0 443 62.13
5 0 170(215) 9(285) 0 500 98.82
6 0 207(427) 0 427 76.55
7 0 176(112) 233(377) 0 489 128.62
8 0 101(156) 114(344) 0 500 77.59
9 0 73(407) 0 407 56.46
10 0 136(55) 32(405) 0 460 182.43
11 0 30(437) 0 437 90.91
12 0 54(138) 18(362) 0 500 92.02
13 0 58(440) 0 440 96.60
14 0 40(445) 0 445 218.58
15 0 206(88) 83(412) 0 500 110.32
16 0 204(244) 54(155) 0 399 71.30
17 0 130(80) 129(420) 0 500 178.50
18 0 217(205) 27(295) 0 500 82.16
19 0 190(363) 0 363 48.08
20 0 80(114) 113(386) 0 500 154.63
21 0 175(108) 55(392) 0 500 176.57
22 0 163(448) 0 448 15.62
23 0 194(181) 80(319) 0 500 150.00
24 0 49(105) 12(395) 0 500 139.14
25 0 189(418) 0 418 130.87
26 0 137(351) 54(149) 0 500 92.83
27 0 27(71) 53(425) 0 496 137.03
28 0 52(84) 75(392) 0 476 142.09
29 0 170(85) 153(415) 0 500 105.06
30 0 197(52) 42(448) 0 500 144.52
31 0 49(219) 61(281) 0 500 163.31
32 0 177(140) 224(358) 0 498 41.68
33 0 221(380) 90(120) 0 500 188.18
(cont.)
746
Table B.52 continued.
Route Load Distance
34 0 175(280) 66(220) 0 500 173.04
35 0 11(420) 0 420 68.88
36 0 220(116) 150(384) 0 500 116.88
37 0 24(301) 78(199) 0 500 215.51
38 0 15(398) 0 398 115.12
39 0 47(102) 168(398) 0 500 167.75
40 0 123(134) 8(366) 0 500 74.90
41 0 203(104) 57(393) 0 497 80.93
42 0 52(350) 84(150) 0 500 124.14
43 0 78(95) 201(393) 0 488 199.39
44 0 242(439) 0 439 97.67
45 0 9(87) 121(56) 106(357) 0 500 166.60
46 0 170(132) 230(368) 0 500 89.44
47 0 102(102) 219(388) 0 490 125.33
48 0 185(397) 166(103) 0 500 120.84
49 0 235(389) 0 389 59.06
50 0 123(221) 118(279) 0 500 68.12
51 0 248(157) 121(343) 0 500 143.01
52 0 39(259) 122(241) 0 500 96.25
53 0 49(124) 130(346) 0 470 162.12
54 0 249(51) 43(370) 0 421 64.79
55 0 175(55) 17(416) 0 471 195.97
56 0 69(368) 0 368 30.07
57 0 90(258) 133(242) 0 500 161.28
58 0 84(246) 135(254) 0 500 80.66
59 0 223(371) 0 371 70.00
60 0 166(284) 96(216) 0 500 80.84
61 0 61(97) 211(403) 0 500 164.16
62 0 177(132) 237(360) 0 492 41.48
63 0 137(84) 124(416) 0 500 121.61
64 0 183(130) 36(370) 0 500 108.15
65 0 133(111) 79(374) 0 485 140.53
66 0 176(134) 136(366) 0 500 141.45
(cont.)
747
Table B.52 continued.
Route Load Distance
67 0 82(22) 66(157) 47(318) 0 497 166.40
68 0 19(417) 0 417 121.28
69 0 78(84) 147(416) 0 500 238.53
70 0 26(398) 0 398 86.56
71 0 82(111) 56(372) 0 483 113.60
72 0 135(117) 146(382) 0 499 74.34
73 0 113(60) 103(440) 0 500 162.12
74 0 191(371) 0 371 111.52
75 0 118(124) 3(376) 0 500 76.32
76 0 114(72) 148(428) 0 500 80.44
77 0 5(420) 0 420 126.49
78 0 197(123) 10(377) 0 500 141.94
79 0 131(82) 238(418) 0 500 111.59
80 0 39(167) 102(302) 0 469 111.19
81 0 194(222) 197(255) 0 477 150.05
82 0 89(89) 167(411) 0 500 132.72
83 0 125(441) 0 441 34.41
84 0 177(171) 249(308) 0 479 47.46
85 0 157(423) 0 423 45.25
86 0 24(71) 127(426) 0 497 244.67
87 0 101(100) 193(400) 0 500 63.56
88 0 203(316) 214(184) 0 500 87.76
89 0 183(260) 217(240) 0 500 102.85
90 0 96(171) 112(307) 0 478 71.52
91 0 206(178) 220(308) 0 486 127.04
92 0 195(353) 0 353 45.61
93 0 204(139) 198(361) 0 500 59.26
94 0 123(77) 16(383) 0 460 105.92
95 0 173(418) 0 418 77.25
96 0 228(433) 0 433 125.25
97 0 214(197) 131(303) 0 500 91.22
98 0 176(130) 226(370) 0 500 156.64
99 0 206(99) 65(401) 0 500 128.17
(cont.)
748
Table B.52 continued.
Route Load Distance
100 0 122(130) 38(366) 0 496 96.29
101 0 82(96) 241(404) 0 500 67.52
102 0 101(110) 13(374) 0 484 117.16
103 0 89(267) 248(233) 0 500 136.80
104 0 225(360) 82(140) 0 500 69.76
105 250(0) 229(88) 1(412) 250(0) 500 295.92
106 250(0) 105(22) 29(181) 109(263) 250(0) 466 178.66
107 250(0) 160(389) 250(0) 389 56.04
108 250(0) 143(427) 250(0) 427 88.77
109 250(0) 180(142) 152(358) 250(0) 500 48.55
110 250(0) 109(147) 20(353) 250(0) 500 174.03
111 250(0) 138(413) 100(87) 250(0) 500 155.04
112 250(0) 164(89) 186(411) 250(0) 500 123.42
113 250(0) 236(280) 23(220) 250(0) 500 73.56
114 250(0) 28(111) 70(382) 250(0) 493 198.91
115 250(0) 105(220) 92(280) 250(0) 500 152.37
116 250(0) 234(147) 33(353) 250(0) 500 194.42
117 250(0) 87(265) 34(235) 250(0) 500 145.08
118 250(0) 149(302) 94(198) 250(0) 500 161.67
119 250(0) 165(227) 37(273) 250(0) 500 82.85
120 250(0) 227(429) 250(0) 429 167.63
121 250(0) 244(277) 108(170) 250(0) 447 178.36
122 250(0) 245(442) 250(0) 442 119.63
123 250(0) 171(101) 181(399) 250(0) 500 134.36
124 250(0) 99(112) 232(388) 250(0) 500 206.95
125 250(0) 86(411) 94(10) 250(0) 421 153.27
126 250(0) 104(68) 215(432) 250(0) 500 92.18
127 250(0) 120(403) 250(0) 403 57.31
128 250(0) 187(141) 93(359) 250(0) 500 78.13
129 250(0) 236(103) 128(370) 250(0) 473 86.55
130 250(0) 141(80) 74(420) 250(0) 500 76.77
131 250(0) 165(51) 169(413) 250(0) 464 120.82
132 250(0) 246(433) 250(0) 433 32.25
(cont.)
749
Table B.52 continued.
Route Load Distance
133 250(0) 108(145) 76(355) 250(0) 500 190.89
134 250(0) 100(233) 81(267) 250(0) 500 140.36
135 250(0) 218(428) 184(72) 250(0) 500 106.62
136 250(0) 134(322) 29(178) 250(0) 500 225.44
137 250(0) 48(438) 250(0) 438 77.25
138 250(0) 94(110) 88(390) 250(0) 500 147.78
139 250(0) 7(444) 250(0) 444 58.24
140 250(0) 184(290) 144(210) 250(0) 500 102.16
141 250(0) 117(425) 250(0) 425 132.97
142 250(0) 81(83) 145(367) 250(0) 450 144.14
143 250(0) 34(199) 95(290) 250(0) 489 113.78
144 250(0) 91(412) 250(0) 412 94.40
145 250(0) 110(244) 60(256) 250(0) 500 188.12
146 250(0) 14(130) 174(365) 250(0) 495 105.40
147 250(0) 132(378) 105(122) 250(0) 500 154.96
148 250(0) 243(60) 59(440) 250(0) 500 155.87
149 250(0) 22(371) 250(0) 371 48.37
150 250(0) 41(250) 110(157) 250(0) 407 183.07
151 250(0) 188(419) 250(0) 419 111.61
152 250(0) 196(357) 23(135) 250(0) 492 83.19
153 250(0) 85(395) 250(0) 395 97.69
154 250(0) 142(128) 68(372) 250(0) 500 210.39
155 250(0) 141(175) 126(325) 250(0) 500 81.62
156 250(0) 108(124) 155(376) 250(0) 500 199.61
157 250(0) 140(435) 250(0) 435 76.94
158 250(0) 37(143) 222(354) 250(0) 497 92.72
159 250(0) 231(17) 139(419) 71(51) 250(0) 487 274.06
160 250(0) 111(403) 250(0) 403 76.58
161 250(0) 165(146) 243(345) 250(0) 491 115.19
162 250(0) 164(75) 4(425) 250(0) 500 121.81
163 250(0) 63(444) 250(0) 444 43.27
164 250(0) 94(121) 151(379) 250(0) 500 144.96
165 250(0) 44(447) 250(0) 447 40.25
(cont.)
750
Table B.52 continued.
Route Load Distance
166 250(0) 28(283) 156(217) 250(0) 500 92.69
167 250(0) 60(113) 158(387) 250(0) 500 204.52
168 250(0) 134(105) 159(395) 250(0) 500 263.52
169 250(0) 202(449) 99(50) 250(0) 499 246.63
170 250(0) 172(51) 21(449) 250(0) 500 145.19
171 250(0) 67(312) 162(188) 250(0) 500 196.16
172 250(0) 172(279) 164(221) 250(0) 500 106.94
173 250(0) 46(390) 216(110) 250(0) 500 61.43
174 250(0) 179(371) 250(0) 371 55.32
175 250(0) 162(222) 171(278) 250(0) 500 146.74
176 250(0) 67(101) 97(399) 250(0) 500 194.05
177 250(0) 142(299) 99(201) 250(0) 500 210.08
178 250(0) 92(104) 178(396) 250(0) 500 150.61
179 250(0) 87(131) 154(369) 250(0) 500 170.15
180 250(0) 25(421) 250(0) 421 35.78
181 250(0) 141(124) 104(376) 250(0) 500 71.69
182 250(0) 95(139) 182(361) 250(0) 500 110.09
183 250(0) 180(218) 216(282) 250(0) 500 52.17
184 250(0) 208(382) 250(0) 382 16.12
185 250(0) 6(400) 250(0) 400 90.09
186 250(0) 14(123) 98(377) 250(0) 500 123.34
187 250(0) 200(417) 250(0) 417 34.93
188 250(0) 14(37) 107(420) 250(0) 457 122.12
189 250(0) 180(56) 50(400) 250(0) 456 110.46
190 250(0) 77(441) 250(0) 441 108.76
191 250(0) 31(391) 205(109) 250(0) 500 259.36
192 250(0) 72(389) 172(64) 250(0) 453 153.98
193 250(0) 41(122) 210(378) 250(0) 500 170.01
194 250(0) 156(30) 239(435) 250(0) 465 107.19
195 250(0) 199(357) 250(0) 357 20.59
196 250(0) 93(15) 212(425) 187(59) 250(0) 499 125.93
197 250(0) 244(125) 115(375) 250(0) 500 171.71
198 250(0) 192(84) 119(416) 250(0) 500 121.10
(cont.)
751
Table B.52 continued.
Route Load Distance
199 250(0) 71(215) 229(285) 250(0) 500 274.17
200 250(0) 71(138) 231(362) 250(0) 500 261.78
201 250(0) 156(111) 35(389) 250(0) 500 114.72
202 250(0) 205(243) 234(243) 250(0) 486 249.82
203 250(0) 51(419) 97(32) 250(0) 451 198.22
204 250(0) 192(275) 144(193) 250(0) 468 95.10
205 250(0) 14(119) 240(381) 250(0) 500 134.30
206 250(0) 100(91) 209(409) 250(0) 500 159.25
207 250(0) 187(150) 45(350) 250(0) 500 91.94
208 250(0) 126(30) 116(427) 250(0) 457 79.37
209 250(0) 161(449) 250(0) 449 62.10
210 250(0) 149(133) 247(367) 250(0) 500 180.83
Total Distance 25502.49
752
Table B.53: IDH solution to MDSD8 with demand range [.7, .9].
Route Load Distance
1 0 222(354) 0 354 44.94
2 0 107(345) 14(155) 0 500 75.49
3 0 233(377) 15(123) 0 500 142.76
4 0 208(382) 199(118) 0 500 115.18
5 0 24(84) 17(416) 0 500 205.02
6 0 134(351) 147(149) 0 500 164.56
7 0 98(119) 240(381) 0 500 66.56
8 0 147(267) 24(233) 0 500 193.73
9 0 174(130) 128(370) 0 500 60.79
10 0 78(181) 201(319) 0 500 152.44
11 0 44(213) 37(287) 0 500 82.43
12 0 24(55) 40(445) 0 500 192.47
13 0 243(117) 16(383) 0 500 115.26
14 0 199(239) 44(234) 0 473 81.61
15 0 94(121) 151(379) 0 500 177.23
16 0 165(424) 0 424 65.97
17 0 116(56) 215(432) 126(8) 0 496 148.86
18 0 97(81) 51(419) 0 500 118.44
19 0 105(105) 85(395) 0 500 56.94
20 0 110(131) 60(369) 0 500 91.45
21 0 32(87) 67(413) 0 500 138.58
22 0 92(104) 178(396) 0 500 51.62
23 0 88(89) 86(411) 0 500 183.92
24 0 50(400) 196(62) 0 462 140.26
25 0 161(449) 0 449 83.19
26 0 48(438) 0 438 38.05
27 0 218(428) 179(51) 0 479 167.22
28 0 94(318) 88(182) 0 500 175.94
29 0 93(88) 91(412) 0 500 123.10
30 0 210(220) 110(270) 0 490 85.56
31 0 245(442) 0 442 160.00
32 0 25(121) 141(379) 0 500 133.87
33 0 14(254) 98(246) 0 500 66.50
(cont.)
753
Table B.53 continued.
Route Load Distance
34 0 117(425) 0 425 53.14
35 0 104(444) 0 444 142.13
36 0 132(241) 105(259) 0 500 75.36
37 0 20(212) 227(288) 0 500 79.16
38 0 236(226) 111(274) 0 500 33.05
39 0 134(76) 159(395) 0 471 172.90
40 0 236(60) 23(355) 0 415 36.84
41 0 25(80) 74(420) 0 500 154.91
42 0 37(129) 116(371) 0 500 126.30
43 0 25(153) 126(347) 0 500 144.84
44 0 111(129) 22(371) 0 500 52.98
45 0 29(359) 227(141) 0 500 80.29
46 0 32(318) 78(140) 0 458 145.07
47 0 181(13) 162(302) 136(167) 0 482 137.13
48 0 59(440) 0 440 102.08
49 0 149(435) 0 435 195.48
50 0 169(66) 52(434) 0 500 105.52
51 0 180(284) 152(216) 0 500 119.66
52 0 152(142) 156(358) 0 500 156.13
53 0 45(200) 93(286) 0 486 103.82
54 0 109(297) 20(141) 0 438 78.90
55 0 25(67) 246(433) 0 500 132.11
56 0 169(112) 219(388) 0 500 116.15
57 0 88(119) 247(367) 98(12) 0 498 185.53
58 0 77(441) 0 441 125.30
59 0 184(278) 192(183) 144(35) 0 496 165.76
60 0 78(57) 175(443) 0 500 191.05
61 0 136(124) 176(376) 0 500 149.43
62 0 174(30) 143(427) 0 457 45.61
63 0 63(361) 179(139) 0 500 99.92
64 0 144(368) 180(132) 0 500 149.52
65 0 169(235) 181(265) 0 500 89.96
66 0 179(110) 46(390) 0 500 100.53
(cont.)
754
Table B.53 continued.
Route Load Distance
67 0 45(150) 187(350) 0 500 98.12
68 0 239(324) 192(176) 0 500 177.14
69 0 174(205) 196(295) 0 500 39.08
70 0 243(288) 15(179) 0 467 129.92
71 0 162(108) 75(392) 0 500 106.54
72 0 127(426) 201(74) 0 500 200.93
73 0 63(83) 216(392) 0 475 103.69
74 0 181(121) 171(379) 0 500 86.92
75 0 15(96) 102(404) 0 500 131.04
76 0 179(71) 200(417) 0 488 92.52
77 0 107(75) 212(425) 0 500 113.05
78 0 184(84) 119(416) 0 500 183.38
79 0 136(130) 226(370) 0 500 144.00
80 0 97(350) 132(137) 0 487 79.52
81 0 41(372) 0 372 71.22
82 0 35(389) 239(111) 0 500 193.01
83 0 236(97) 120(403) 0 500 45.20
84 0 109(113) 158(387) 0 500 108.27
85 0 92(280) 210(158) 0 438 70.89
86 0 6(400) 0 400 81.61
87 250(0) 2(443) 250(0) 443 26.91
88 250(0) 190(134) 8(366) 250(0) 500 125.62
89 250(0) 153(326) 9(174) 250(0) 500 41.62
90 250(0) 197(430) 10(70) 250(0) 500 122.14
91 250(0) 10(307) 11(169) 250(0) 476 99.58
92 250(0) 13(374) 250(0) 374 56.32
93 250(0) 54(222) 18(278) 250(0) 500 124.87
94 250(0) 26(398) 250(0) 398 25.06
95 250(0) 195(134) 27(366) 250(0) 500 71.64
96 250(0) 65(401) 36(49) 250(0) 450 107.82
97 250(0) 56(134) 38(366) 250(0) 500 129.47
98 250(0) 42(448) 250(0) 448 119.63
99 250(0) 228(75) 53(425) 250(0) 500 138.97
(cont.)
755
Table B.53 continued.
Route Load Distance
100 250(0) 73(280) 54(220) 250(0) 500 119.10
101 250(0) 47(108) 55(392) 250(0) 500 169.45
102 250(0) 47(312) 56(188) 250(0) 500 165.07
103 250(0) 203(338) 57(159) 250(0) 497 51.15
104 250(0) 58(440) 250(0) 440 52.95
105 250(0) 249(167) 62(309) 250(0) 476 84.27
106 250(0) 193(293) 64(207) 250(0) 500 45.28
107 250(0) 80(225) 66(275) 250(0) 500 145.21
108 250(0) 204(373) 73(127) 250(0) 500 107.26
109 250(0) 194(403) 80(97) 250(0) 500 134.96
110 250(0) 43(131) 82(369) 250(0) 500 88.10
111 250(0) 83(412) 250(0) 412 77.20
112 250(0) 135(104) 84(396) 250(0) 500 129.88
113 250(0) 9(144) 89(356) 250(0) 500 65.38
114 250(0) 198(175) 96(325) 250(0) 500 120.45
115 250(0) 193(107) 101(366) 250(0) 473 23.19
116 250(0) 113(60) 103(440) 250(0) 500 150.60
117 250(0) 121(143) 106(357) 250(0) 500 106.20
118 250(0) 96(62) 112(366) 250(0) 428 131.46
119 250(0) 80(111) 113(386) 250(0) 497 141.73
120 250(0) 114(416) 250(0) 416 7.21
121 250(0) 123(97) 118(403) 250(0) 500 127.67
122 250(0) 189(170) 121(256) 250(0) 426 87.62
123 250(0) 223(129) 122(371) 250(0) 500 102.02
124 250(0) 3(376) 123(102) 250(0) 478 135.91
125 250(0) 18(84) 124(416) 250(0) 500 149.77
126 250(0) 125(441) 250(0) 441 29.53
127 250(0) 57(115) 131(385) 250(0) 500 67.23
128 250(0) 123(233) 135(267) 250(0) 500 136.92
129 250(0) 137(435) 250(0) 435 115.17
130 250(0) 39(426) 146(74) 250(0) 500 138.20
131 250(0) 148(428) 250(0) 428 17.89
132 250(0) 230(116) 150(384) 250(0) 500 62.82
(cont.)
756
Table B.53 continued.
Route Load Distance
133 250(0) 167(411) 153(89) 250(0) 500 69.57
134 250(0) 64(77) 157(423) 250(0) 500 74.11
135 250(0) 64(109) 163(391) 250(0) 500 60.92
136 250(0) 66(102) 168(398) 250(0) 500 153.15
137 250(0) 170(432) 250(0) 432 23.41
138 250(0) 163(57) 177(443) 250(0) 500 84.40
139 250(0) 36(321) 183(179) 250(0) 500 70.05
140 250(0) 69(226) 190(229) 250(0) 455 114.95
141 250(0) 173(281) 195(219) 250(0) 500 91.19
142 250(0) 207(314) 198(186) 250(0) 500 126.41
143 250(0) 238(418) 203(82) 250(0) 500 83.32
144 250(0) 30(437) 204(10) 250(0) 447 131.76
145 250(0) 183(135) 206(365) 250(0) 500 93.53
146 250(0) 166(387) 207(113) 250(0) 500 134.61
147 250(0) 213(441) 250(0) 441 143.18
148 250(0) 57(119) 214(381) 250(0) 500 62.42
149 250(0) 217(445) 250(0) 445 58.00
150 250(0) 183(76) 220(424) 250(0) 500 76.16
151 250(0) 43(239) 223(242) 250(0) 481 91.96
152 250(0) 69(142) 224(358) 250(0) 500 82.68
153 250(0) 235(140) 225(360) 250(0) 500 78.08
154 250(0) 173(137) 228(358) 250(0) 495 133.01
155 250(0) 189(248) 230(252) 250(0) 500 74.14
156 250(0) 11(251) 235(249) 250(0) 500 68.36
157 250(0) 62(140) 237(360) 250(0) 500 89.22
158 250(0) 241(404) 250(0) 404 68.12
159 250(0) 56(50) 242(439) 250(0) 489 119.86
160 250(0) 9(54) 248(390) 250(0) 444 67.21
161 250(0) 146(308) 249(192) 250(0) 500 114.67
162 251(0) 229(88) 1(412) 251(0) 500 124.18
163 251(0) 7(444) 4(56) 251(0) 500 125.03
164 251(0) 12(356) 5(144) 251(0) 500 105.36
165 251(0) 49(448) 12(39) 251(0) 487 113.04
(cont.)
757
Table B.53 continued.
Route Load Distance
166 251(0) 21(449) 251(0) 449 32.31
167 251(0) 205(352) 31(148) 251(0) 500 86.09
168 251(0) 33(353) 251(0) 353 21.54
169 251(0) 90(104) 61(378) 251(0) 482 92.02
170 251(0) 139(419) 68(81) 251(0) 500 92.20
171 251(0) 99(204) 70(296) 251(0) 500 44.78
172 251(0) 31(243) 71(189) 251(0) 432 93.20
173 251(0) 185(91) 72(389) 251(0) 480 70.04
174 251(0) 154(145) 76(355) 251(0) 500 84.81
175 251(0) 19(223) 79(277) 251(0) 500 83.87
176 251(0) 34(434) 81(66) 251(0) 500 128.66
177 251(0) 188(104) 87(396) 251(0) 500 122.39
178 251(0) 188(209) 95(290) 251(0) 499 124.18
179 251(0) 108(439) 99(61) 251(0) 500 53.23
180 251(0) 4(369) 115(131) 251(0) 500 70.22
181 251(0) 90(80) 129(420) 251(0) 500 108.85
182 251(0) 90(74) 130(426) 251(0) 500 118.93
183 251(0) 5(276) 133(224) 251(0) 500 91.81
184 251(0) 138(413) 251(0) 413 25.30
185 251(0) 164(58) 140(435) 251(0) 493 107.93
186 251(0) 68(170) 142(315) 251(0) 485 41.50
187 251(0) 100(133) 145(367) 251(0) 500 46.76
188 251(0) 115(244) 154(224) 251(0) 468 81.13
189 251(0) 70(86) 155(376) 251(0) 462 71.02
190 251(0) 164(111) 160(389) 251(0) 500 122.89
191 251(0) 81(284) 164(216) 251(0) 500 103.47
192 251(0) 186(98) 172(394) 251(0) 492 80.54
193 251(0) 95(139) 182(361) 251(0) 500 138.52
194 251(0) 19(194) 185(306) 251(0) 500 69.37
195 251(0) 100(187) 186(313) 251(0) 500 56.23
196 251(0) 28(394) 188(106) 251(0) 500 139.24
197 251(0) 133(129) 191(371) 251(0) 500 102.02
198 251(0) 202(449) 251(0) 449 85.44
(cont.)
758
Table B.53 continued.
Route Load Distance
199 251(0) 100(91) 209(409) 251(0) 500 43.11
200 251(0) 79(97) 211(403) 251(0) 500 97.11
201 251(0) 90(120) 221(380) 251(0) 500 110.80
202 251(0) 71(215) 229(285) 251(0) 500 100.86
203 251(0) 68(121) 231(379) 251(0) 500 69.68
204 251(0) 142(112) 232(388) 251(0) 500 53.36
205 251(0) 234(390) 251(0) 390 12.65
206 251(0) 99(98) 244(402) 251(0) 500 51.85
Total Distance 20915.02
759
Table B.54: IDH solution to MDSD9 with demand range [.7, .9].
Route Load Distance
1 0 222(89) 6(400) 0 489 91.25
2 0 227(147) 20(353) 0 500 76.22
3 0 200(253) 22(247) 0 500 90.85
4 0 236(145) 23(355) 0 500 41.85
5 0 227(141) 29(359) 0 500 78.15
6 0 222(84) 37(416) 0 500 83.86
7 0 60(128) 41(372) 0 500 88.22
8 0 111(53) 44(447) 0 500 72.70
9 0 161(150) 45(350) 0 500 99.91
10 0 179(110) 46(390) 0 500 103.38
11 0 48(438) 0 438 39.85
12 0 91(100) 50(400) 0 500 140.62
13 0 158(128) 134(359) 0 487 135.25
14 0 200(56) 63(444) 0 500 103.72
15 0 51(87) 67(413) 0 500 128.27
16 0 77(441) 0 441 124.26
17 0 94(75) 86(411) 0 486 184.81
18 0 94(364) 88(136) 0 500 174.98
19 0 187(224) 91(254) 0 478 122.65
20 0 178(116) 92(384) 0 500 44.01
21 0 132(69) 97(431) 0 500 81.45
22 0 98(377) 0 377 48.08
23 0 105(364) 0 364 45.65
24 0 14(80) 107(420) 0 500 70.61
25 0 210(90) 109(410) 0 500 78.59
26 0 117(425) 0 425 43.86
27 0 236(88) 120(403) 0 491 51.01
28 0 174(130) 128(370) 0 500 60.87
29 0 171(191) 132(309) 0 500 105.95
30 0 159(395) 134(68) 0 463 170.18
31 0 143(427) 0 427 44.05
32 0 174(64) 149(435) 0 499 194.56
33 0 88(121) 151(379) 0 500 172.58
(cont.)
760
Table B.54 continued.
Route Load Distance
34 0 60(241) 158(259) 0 500 104.72
35 0 179(177) 161(299) 0 476 88.11
36 0 222(76) 165(424) 0 500 76.06
37 0 171(87) 169(413) 0 500 96.88
38 0 14(329) 174(171) 0 500 53.30
39 0 210(189) 178(280) 0 469 65.88
40 0 179(84) 180(416) 0 500 109.10
41 0 171(101) 181(399) 0 500 93.64
42 0 93(374) 187(126) 0 500 98.83
43 0 196(357) 0 357 29.73
44 0 22(124) 199(357) 0 481 90.08
45 0 216(392) 200(108) 0 500 108.75
46 0 110(401) 210(99) 0 500 80.36
47 0 212(425) 0 425 106.28
48 0 85(395) 222(105) 0 500 58.15
49 0 51(332) 227(141) 0 473 122.29
50 0 111(350) 236(150) 0 500 39.79
51 0 240(381) 0 381 57.20
52 0 91(58) 245(442) 0 500 160.31
53 0 88(133) 247(367) 0 500 176.59
54 250(0) 89(126) 13(374) 250(0) 500 142.54
55 250(0) 10(82) 238(418) 250(0) 500 45.37
56 250(0) 3(145) 126(355) 250(0) 500 163.10
57 250(0) 131(205) 10(295) 250(0) 500 48.76
58 250(0) 43(141) 249(359) 250(0) 500 68.69
59 250(0) 66(102) 168(398) 250(0) 500 52.37
60 250(0) 43(100) 237(360) 250(0) 460 78.49
61 250(0) 39(426) 250(0) 426 59.09
62 250(0) 203(420) 250(0) 420 58.31
63 250(0) 153(75) 189(418) 250(0) 493 168.19
64 250(0) 136(297) 233(179) 250(0) 476 81.30
65 250(0) 42(448) 250(0) 448 44.41
66 250(0) 3(68) 215(432) 250(0) 500 164.48
(cont.)
761
Table B.54 continued.
Route Load Distance
67 250(0) 64(393) 250(0) 393 94.02
68 250(0) 17(100) 40(400) 250(0) 500 122.40
69 250(0) 146(76) 16(383) 250(0) 459 118.24
70 250(0) 80(114) 113(386) 250(0) 500 49.02
71 250(0) 17(188) 55(312) 250(0) 500 94.56
72 250(0) 80(94) 194(403) 250(0) 497 45.65
73 250(0) 11(420) 250(0) 420 42.19
74 250(0) 125(441) 250(0) 441 102.63
75 250(0) 177(174) 224(326) 250(0) 500 95.59
76 250(0) 153(102) 26(398) 250(0) 500 137.21
77 250(0) 80(225) 66(275) 250(0) 500 49.16
78 250(0) 177(269) 69(231) 250(0) 500 89.76
79 250(0) 3(29) 116(427) 250(0) 456 159.62
80 250(0) 201(347) 78(153) 250(0) 500 118.44
81 250(0) 62(449) 250(0) 449 70.23
82 250(0) 175(443) 250(0) 443 65.15
83 250(0) 201(46) 147(416) 250(0) 462 155.94
84 250(0) 121(270) 89(230) 250(0) 500 167.24
85 250(0) 170(300) 101(200) 250(0) 500 127.82
86 250(0) 113(60) 103(440) 250(0) 500 55.64
87 250(0) 43(129) 122(371) 250(0) 500 56.77
88 250(0) 214(381) 250(0) 381 44.18
89 250(0) 101(84) 193(400) 250(0) 484 88.72
90 250(0) 162(60) 59(440) 250(0) 500 109.22
91 250(0) 55(80) 47(420) 250(0) 500 66.57
92 250(0) 52(95) 243(405) 250(0) 500 121.47
93 250(0) 131(100) 57(393) 250(0) 493 57.23
94 250(0) 3(134) 8(366) 250(0) 500 139.75
95 250(0) 146(104) 84(396) 250(0) 500 92.27
96 250(0) 101(82) 114(416) 250(0) 498 109.30
97 250(0) 123(432) 250(0) 432 116.28
98 250(0) 135(298) 146(202) 250(0) 500 92.15
99 250(0) 135(73) 118(403) 250(0) 476 117.12
(cont.)
762
Table B.54 continued.
Route Load Distance
100 250(0) 121(129) 106(357) 250(0) 486 193.04
101 250(0) 9(262) 153(238) 250(0) 500 134.87
102 250(0) 242(439) 250(0) 439 18.97
103 250(0) 38(366) 250(0) 366 34.93
104 250(0) 219(108) 75(392) 250(0) 500 101.21
105 250(0) 69(137) 190(363) 250(0) 500 124.02
106 250(0) 224(32) 163(448) 250(0) 480 91.31
107 250(0) 148(428) 250(0) 428 118.07
108 250(0) 102(102) 15(398) 250(0) 500 84.33
109 250(0) 219(119) 162(350) 250(0) 469 106.25
110 250(0) 40(45) 127(426) 250(0) 471 148.01
111 250(0) 226(95) 32(405) 250(0) 500 108.15
112 250(0) 131(80) 167(411) 250(0) 491 136.64
113 250(0) 223(371) 250(0) 371 43.17
114 250(0) 9(110) 248(390) 250(0) 500 157.76
115 250(0) 52(339) 219(161) 250(0) 500 103.73
116 250(0) 241(111) 235(389) 250(0) 500 49.70
117 250(0) 225(131) 82(369) 250(0) 500 62.57
118 250(0) 241(293) 225(207) 250(0) 500 44.60
119 250(0) 78(225) 226(275) 250(0) 500 107.84
120 250(0) 170(132) 230(368) 250(0) 500 139.57
121 250(0) 102(302) 233(198) 250(0) 500 81.55
122 250(0) 136(124) 176(376) 250(0) 500 75.88
123 250(0) 197(430) 250(0) 430 40.00
124 250(0) 56(372) 250(0) 372 14.56
125 250(0) 225(22) 157(423) 250(0) 445 62.20
126 250(0) 17(128) 24(372) 250(0) 500 118.48
127 251(0) 217(57) 2(443) 251(0) 500 107.37
128 251(0) 5(420) 251(0) 420 39.85
129 251(0) 49(174) 12(326) 251(0) 500 37.16
130 251(0) 166(194) 19(306) 251(0) 500 92.37
131 251(0) 137(94) 27(366) 251(0) 460 59.27
132 251(0) 18(63) 30(437) 251(0) 500 26.76
(cont.)
763
Table B.54 continued.
Route Load Distance
133 251(0) 130(226) 49(274) 251(0) 500 56.66
134 251(0) 53(425) 251(0) 425 47.54
135 251(0) 137(58) 54(442) 251(0) 500 39.41
136 251(0) 183(60) 58(440) 251(0) 500 110.92
137 251(0) 90(122) 61(378) 251(0) 500 62.83
138 251(0) 206(99) 65(401) 251(0) 500 88.67
139 251(0) 19(111) 72(389) 251(0) 500 87.73
140 251(0) 198(93) 73(407) 251(0) 500 63.59
141 251(0) 206(136) 83(364) 251(0) 500 82.83
142 251(0) 205(244) 90(256) 251(0) 500 124.82
143 251(0) 198(151) 96(349) 251(0) 500 79.50
144 251(0) 124(416) 251(0) 416 15.23
145 251(0) 130(200) 129(300) 251(0) 500 73.10
146 251(0) 191(147) 133(353) 251(0) 500 46.69
147 251(0) 18(299) 137(201) 251(0) 500 25.62
148 251(0) 207(293) 166(193) 251(0) 486 67.70
149 251(0) 137(82) 173(418) 251(0) 500 40.77
150 251(0) 150(384) 183(116) 251(0) 500 111.14
151 251(0) 191(98) 185(397) 251(0) 495 78.20
152 251(0) 79(374) 191(126) 251(0) 500 60.13
153 251(0) 217(147) 195(353) 251(0) 500 98.15
154 251(0) 204(383) 198(117) 251(0) 500 66.65
155 251(0) 31(391) 205(108) 251(0) 499 139.28
156 251(0) 36(370) 206(130) 251(0) 500 101.85
157 251(0) 112(366) 207(134) 251(0) 500 103.40
158 251(0) 12(69) 211(403) 251(0) 472 62.82
159 251(0) 96(38) 213(441) 251(0) 479 112.79
160 251(0) 183(214) 217(241) 251(0) 455 108.53
161 251(0) 83(48) 220(424) 251(0) 472 105.11
162 251(0) 129(120) 221(380) 251(0) 500 83.51
163 251(0) 228(433) 251(0) 433 41.62
164 252(0) 99(73) 142(427) 252(0) 500 122.48
165 252(0) 81(289) 4(211) 252(0) 500 46.73
(cont.)
764
Table B.54 continued.
Route Load Distance
166 252(0) 145(82) 234(390) 252(0) 472 114.98
167 252(0) 152(358) 28(142) 252(0) 500 95.96
168 252(0) 138(147) 33(353) 252(0) 500 119.08
169 252(0) 34(434) 252(0) 434 24.08
170 252(0) 7(79) 25(421) 252(0) 500 107.18
171 252(0) 231(171) 68(329) 252(0) 500 150.99
172 252(0) 108(118) 70(382) 252(0) 500 93.85
173 252(0) 7(56) 104(444) 252(0) 500 116.71
174 252(0) 182(361) 252(0) 361 34.18
175 252(0) 154(145) 76(355) 252(0) 500 71.23
176 252(0) 140(435) 252(0) 435 72.69
177 252(0) 172(394) 252(0) 394 80.50
178 252(0) 95(429) 252(0) 429 19.70
179 252(0) 208(382) 252(0) 382 92.09
180 252(0) 28(110) 35(389) 252(0) 499 84.09
181 252(0) 68(43) 71(404) 252(0) 447 172.44
182 252(0) 99(290) 108(197) 252(0) 487 94.98
183 252(0) 87(396) 252(0) 396 36.77
184 252(0) 239(84) 119(416) 252(0) 500 110.81
185 252(0) 21(234) 138(266) 252(0) 500 86.91
186 252(0) 4(125) 115(375) 252(0) 500 59.60
187 252(0) 160(389) 252(0) 389 55.71
188 252(0) 7(121) 141(379) 252(0) 500 107.20
189 252(0) 144(403) 252(0) 403 98.33
190 252(0) 21(215) 145(285) 252(0) 500 86.49
191 252(0) 244(239) 154(224) 252(0) 463 82.39
192 252(0) 108(124) 155(376) 252(0) 500 101.04
193 252(0) 28(142) 156(358) 252(0) 500 65.54
194 252(0) 4(89) 100(411) 252(0) 500 64.89
195 252(0) 7(188) 164(312) 252(0) 500 71.66
196 252(0) 164(73) 74(420) 252(0) 493 110.17
197 252(0) 246(433) 252(0) 433 86.93
198 252(0) 188(419) 252(0) 419 6.00
(cont.)
765
Table B.54 continued.
Route Load Distance
199 252(0) 239(141) 192(359) 252(0) 500 105.85
200 252(0) 81(61) 186(411) 252(0) 472 65.67
201 252(0) 232(51) 139(419) 252(0) 470 165.66
202 252(0) 184(362) 218(138) 252(0) 500 109.92
203 252(0) 229(373) 231(127) 252(0) 500 187.67
204 252(0) 202(449) 252(0) 449 151.92
205 252(0) 231(81) 1(412) 252(0) 493 203.20
206 252(0) 218(290) 239(210) 252(0) 500 109.56
207 252(0) 232(337) 244(163) 252(0) 500 115.41
208 252(0) 209(409) 252(0) 409 79.62
Total Distance 18844.77
766
Table B.55: IDH solution to MDSD10 with demand range [.7, .9].
Route Load Distance
1 0 222(100) 6(400) 0 500 81.72
2 0 107(420) 14(80) 0 500 75.49
3 0 210(147) 20(353) 0 500 85.23
4 0 120(258) 22(242) 0 500 53.35
5 0 37(416) 0 416 70.03
6 0 60(369) 41(131) 0 500 93.26
7 0 44(447) 0 447 63.53
8 0 52(434) 0 434 105.26
9 0 222(178) 85(308) 0 486 49.11
10 0 178(396) 92(57) 0 453 51.62
11 0 105(69) 97(431) 0 500 79.19
12 0 14(242) 98(258) 0 500 66.50
13 0 92(327) 105(173) 0 500 62.33
14 0 227(288) 109(212) 0 500 79.48
15 0 109(99) 110(401) 0 500 85.26
16 0 111(403) 0 403 22.63
17 0 117(425) 0 425 53.14
18 0 23(355) 120(145) 0 500 46.82
19 0 14(87) 128(370) 0 457 72.17
20 0 105(122) 132(378) 0 500 75.36
21 0 174(43) 143(427) 0 470 45.61
22 0 109(99) 158(387) 0 486 108.27
23 0 171(90) 162(410) 0 500 100.90
24 0 85(87) 169(413) 0 500 81.20
25 0 181(187) 171(289) 0 476 86.92
26 0 196(178) 174(322) 0 500 39.08
27 0 243(288) 181(212) 0 500 111.89
28 0 48(438) 196(62) 0 500 38.13
29 0 22(129) 199(357) 0 486 82.68
30 0 41(241) 210(231) 0 472 71.44
31 0 165(424) 222(76) 0 500 66.46
32 0 29(359) 227(141) 0 500 80.29
33 0 196(117) 236(383) 0 500 36.65
(cont.)
767
Table B.55 continued.
Route Load Distance
34 0 98(119) 240(381) 0 500 66.56
35 0 16(383) 243(117) 0 500 115.26
36 250(0) 131(205) 10(295) 250(0) 500 125.36
37 250(0) 214(80) 11(420) 250(0) 500 132.41
38 250(0) 242(96) 241(404) 250(0) 500 117.80
39 250(0) 55(312) 17(188) 250(0) 500 48.13
40 250(0) 17(228) 24(272) 250(0) 500 48.38
41 250(0) 24(26) 40(445) 250(0) 471 46.49
42 250(0) 122(371) 38(97) 250(0) 468 103.32
43 250(0) 176(74) 39(426) 250(0) 500 85.55
44 250(0) 175(443) 250(0) 443 20.59
45 250(0) 80(52) 42(448) 250(0) 500 92.49
46 250(0) 136(127) 226(370) 250(0) 497 51.10
47 250(0) 159(395) 147(68) 250(0) 463 118.11
48 250(0) 201(73) 134(427) 250(0) 500 100.93
49 250(0) 201(81) 51(419) 250(0) 500 72.45
50 250(0) 168(187) 66(313) 250(0) 500 58.61
51 250(0) 219(163) 75(337) 250(0) 500 86.73
52 250(0) 176(96) 102(404) 250(0) 500 86.33
53 250(0) 56(119) 80(381) 250(0) 500 91.53
54 250(0) 168(151) 113(349) 250(0) 500 66.36
55 250(0) 113(97) 194(403) 250(0) 500 78.11
56 250(0) 75(55) 59(440) 250(0) 495 82.32
57 250(0) 176(206) 136(294) 250(0) 500 58.73
58 250(0) 201(152) 147(348) 250(0) 500 77.74
59 250(0) 168(60) 103(440) 250(0) 500 61.91
60 250(0) 55(80) 47(420) 250(0) 500 39.90
61 250(0) 201(87) 67(413) 250(0) 500 63.79
62 250(0) 223(371) 242(96) 250(0) 467 105.95
63 250(0) 233(102) 15(398) 250(0) 500 85.96
64 250(0) 66(64) 197(430) 250(0) 494 85.47
65 250(0) 24(74) 127(426) 250(0) 500 71.03
66 250(0) 131(180) 214(301) 250(0) 481 127.59
(cont.)
768
Table B.55 continued.
Route Load Distance
67 250(0) 38(129) 43(370) 250(0) 499 109.48
68 250(0) 38(140) 225(360) 250(0) 500 111.92
69 250(0) 78(378) 250(0) 378 29.73
70 250(0) 219(225) 233(275) 250(0) 500 85.81
71 250(0) 10(82) 238(418) 250(0) 500 118.93
72 250(0) 32(405) 250(0) 405 36.88
73 250(0) 56(253) 242(247) 250(0) 500 81.36
74 251(0) 180(83) 200(417) 251(0) 500 88.40
75 251(0) 151(110) 88(390) 251(0) 500 95.90
76 251(0) 95(170) 34(330) 251(0) 500 68.36
77 251(0) 95(45) 4(425) 251(0) 470 118.78
78 251(0) 91(412) 251(0) 412 72.72
79 251(0) 28(394) 251(0) 394 48.70
80 251(0) 239(435) 251(0) 435 11.31
81 251(0) 161(449) 251(0) 449 90.55
82 251(0) 7(444) 251(0) 444 104.80
83 251(0) 45(75) 212(425) 251(0) 500 130.69
84 251(0) 141(68) 116(427) 251(0) 495 167.13
85 251(0) 104(30) 215(432) 251(0) 462 170.51
86 251(0) 245(442) 251(0) 442 60.00
87 251(0) 45(275) 93(224) 251(0) 499 105.64
88 251(0) 34(104) 87(396) 251(0) 500 97.76
89 251(0) 184(133) 218(367) 251(0) 500 29.38
90 251(0) 119(416) 251(0) 416 32.80
91 251(0) 192(100) 50(400) 251(0) 500 70.88
92 251(0) 104(145) 126(355) 251(0) 500 167.61
93 251(0) 77(441) 251(0) 441 85.91
94 251(0) 104(189) 141(311) 251(0) 500 148.94
95 251(0) 86(47) 149(435) 251(0) 482 95.78
96 251(0) 151(136) 86(364) 251(0) 500 91.21
97 251(0) 218(61) 94(439) 251(0) 500 77.30
98 251(0) 246(79) 208(382) 251(0) 461 104.98
99 251(0) 246(291) 160(209) 251(0) 500 109.33
(cont.)
769
Table B.55 continued.
Route Load Distance
100 251(0) 35(389) 251(0) 389 20.88
101 251(0) 104(80) 74(420) 251(0) 500 152.91
102 251(0) 216(129) 179(371) 251(0) 500 91.36
103 251(0) 180(107) 46(390) 251(0) 497 80.76
104 251(0) 93(150) 187(350) 251(0) 500 89.52
105 251(0) 182(361) 95(139) 251(0) 500 62.32
106 251(0) 156(358) 251(0) 358 28.84
107 251(0) 246(63) 25(421) 251(0) 484 120.15
108 251(0) 152(358) 251(0) 358 62.03
109 251(0) 95(75) 188(419) 251(0) 494 80.12
110 251(0) 160(115) 164(385) 251(0) 500 108.72
111 251(0) 180(226) 216(263) 251(0) 489 74.23
112 251(0) 140(435) 160(65) 251(0) 500 122.04
113 251(0) 63(444) 251(0) 444 73.38
114 251(0) 192(259) 184(229) 251(0) 488 28.01
115 251(0) 151(133) 247(367) 251(0) 500 112.81
116 251(0) 144(403) 251(0) 403 25.46
117 252(0) 230(102) 26(398) 252(0) 500 95.26
118 252(0) 190(134) 112(366) 252(0) 500 98.00
119 252(0) 173(84) 124(416) 252(0) 500 66.44
120 252(0) 27(366) 252(0) 366 12.17
121 252(0) 248(101) 121(399) 252(0) 500 137.58
122 252(0) 198(117) 204(383) 252(0) 500 40.50
123 252(0) 30(437) 252(0) 437 44.18
124 252(0) 230(109) 9(372) 252(0) 481 100.86
125 252(0) 54(442) 252(0) 442 22.36
126 252(0) 135(102) 146(382) 252(0) 484 130.33
127 252(0) 2(443) 252(0) 443 60.03
128 252(0) 249(51) 62(449) 252(0) 500 107.51
129 252(0) 167(126) 13(374) 252(0) 500 150.72
130 252(0) 198(78) 96(387) 252(0) 465 58.18
131 252(0) 237(172) 69(328) 252(0) 500 101.00
132 252(0) 217(130) 36(370) 252(0) 500 74.89
(cont.)
770
Table B.55 continued.
Route Load Distance
133 252(0) 173(192) 83(308) 252(0) 500 57.71
134 252(0) 123(97) 118(403) 252(0) 500 114.16
135 252(0) 101(84) 114(416) 252(0) 500 100.24
136 252(0) 189(143) 106(357) 252(0) 500 149.68
137 252(0) 228(75) 53(425) 252(0) 500 77.42
138 252(0) 135(104) 84(396) 252(0) 500 135.93
139 252(0) 65(401) 220(99) 252(0) 500 99.90
140 252(0) 135(165) 123(335) 252(0) 500 132.15
141 252(0) 125(441) 252(0) 441 63.81
142 252(0) 69(40) 177(443) 252(0) 483 93.92
143 252(0) 137(435) 252(0) 435 34.41
144 252(0) 190(124) 3(376) 252(0) 500 120.61
145 252(0) 83(104) 206(365) 252(0) 469 66.34
146 252(0) 213(441) 252(0) 441 94.34
147 252(0) 89(145) 167(285) 252(0) 430 138.37
148 252(0) 82(369) 163(114) 252(0) 483 102.24
149 252(0) 195(68) 170(432) 252(0) 500 73.69
150 252(0) 18(362) 252(0) 362 41.23
151 252(0) 157(111) 235(389) 252(0) 500 118.65
152 252(0) 189(275) 183(225) 252(0) 500 118.52
153 252(0) 217(116) 150(384) 252(0) 500 80.65
154 252(0) 101(282) 193(218) 252(0) 500 96.29
155 252(0) 217(199) 195(285) 252(0) 484 56.12
156 252(0) 230(72) 148(428) 252(0) 500 95.52
157 252(0) 193(182) 203(313) 252(0) 495 121.47
158 252(0) 8(366) 190(105) 252(0) 471 100.42
159 252(0) 203(107) 57(393) 252(0) 500 123.86
160 252(0) 64(393) 252(0) 393 69.43
161 252(0) 198(93) 73(407) 252(0) 500 41.46
162 252(0) 58(440) 252(0) 440 76.97
163 252(0) 183(165) 220(325) 252(0) 490 87.92
164 252(0) 163(142) 224(358) 252(0) 500 82.74
165 252(0) 173(142) 228(358) 252(0) 500 66.08
(cont.)
771
Table B.55 continued.
Route Load Distance
166 252(0) 198(73) 207(427) 252(0) 500 56.83
167 252(0) 153(415) 230(85) 252(0) 500 104.94
168 252(0) 157(312) 237(188) 252(0) 500 113.90
169 252(0) 89(211) 248(289) 252(0) 500 136.73
170 252(0) 163(192) 249(308) 252(0) 500 103.97
171 253(0) 5(144) 12(356) 253(0) 500 35.06
172 253(0) 33(243) 19(257) 253(0) 500 69.91
173 253(0) 100(411) 21(89) 253(0) 500 104.93
174 253(0) 205(109) 31(391) 253(0) 500 113.53
175 253(0) 12(39) 49(448) 253(0) 487 45.65
176 253(0) 232(388) 68(112) 253(0) 500 129.97
177 253(0) 229(353) 71(147) 253(0) 500 148.16
178 253(0) 72(389) 253(0) 389 39.45
179 253(0) 79(374) 253(0) 374 12.17
180 253(0) 186(150) 81(350) 253(0) 500 117.49
181 253(0) 61(224) 90(258) 253(0) 482 52.13
182 253(0) 70(258) 99(242) 253(0) 500 127.20
183 253(0) 99(23) 108(439) 253(0) 462 135.50
184 253(0) 145(222) 115(278) 253(0) 500 120.42
185 253(0) 61(80) 129(420) 253(0) 500 71.12
186 253(0) 61(74) 130(426) 253(0) 500 73.09
187 253(0) 5(147) 133(353) 253(0) 500 20.11
188 253(0) 21(121) 138(379) 253(0) 500 88.00
189 253(0) 231(81) 139(419) 253(0) 500 157.00
190 253(0) 68(58) 142(427) 253(0) 485 113.33
191 253(0) 76(355) 145(145) 253(0) 500 162.45
192 253(0) 138(34) 115(97) 154(369) 253(0) 500 155.84
193 253(0) 70(124) 155(376) 253(0) 500 153.40
194 253(0) 166(387) 253(0) 387 45.61
195 253(0) 185(106) 172(394) 253(0) 500 92.20
196 253(0) 19(160) 185(291) 253(0) 451 30.55
197 253(0) 21(239) 186(261) 253(0) 500 101.00
198 253(0) 5(129) 191(371) 253(0) 500 23.57
(cont.)
772
Table B.55 continued.
Route Load Distance
199 253(0) 202(449) 253(0) 449 154.21
200 253(0) 71(257) 205(243) 253(0) 500 132.23
201 253(0) 209(409) 253(0) 409 102.96
202 253(0) 211(403) 253(0) 403 45.65
203 253(0) 90(120) 221(380) 253(0) 500 78.79
204 253(0) 1(412) 229(20) 253(0) 432 172.63
205 253(0) 68(202) 231(298) 253(0) 500 138.15
206 253(0) 33(110) 234(390) 253(0) 500 84.95
207 253(0) 99(98) 244(402) 253(0) 500 133.73
Total Distance 17777.76
773
Table B.56: IDH solution to SQ1.
Route Load Distance
1 0 1(80) 2(20) 0 100 34.14
2 0 5(20) 3(80) 0 100 34.14
3 0 14(80) 4(20) 0 100 60.64
4 0 13(60) 5(40) 0 100 40.00
5 0 6(90) 0 90 28.28
6 0 7(60) 0 60 20.00
7 0 8(90) 0 90 28.28
8 0 1(10) 9(90) 0 100 56.57
9 0 2(40) 10(60) 0 100 40.00
10 0 3(10) 11(90) 0 100 56.57
11 0 4(40) 12(60) 0 100 40.00
12 0 15(20) 16(80) 0 100 68.28
13 0 14(5) 25(95) 0 100 60.02
14 0 15(35) 26(65) 0 100 44.00
15 0 16(5) 27(95) 0 100 60.02
16 33(0) 17(90) 33(0) 90 28.28
17 33(0) 21(20) 18(60) 33(0) 80 34.14
18 33(0) 19(90) 33(0) 90 28.28
19 33(0) 28(60) 20(40) 33(0) 100 40.00
20 33(0) 20(20) 22(80) 33(0) 100 34.14
21 33(0) 24(80) 23(20) 33(0) 100 34.14
22 33(0) 32(90) 24(10) 33(0) 100 56.57
23 33(0) 21(40) 29(60) 33(0) 100 40.00
24 33(0) 22(10) 30(90) 33(0) 100 56.57
25 33(0) 23(40) 31(60) 33(0) 100 40.00
Total Distance 1063.08
774
Table B.57: IDH solution to SQ2.
Route Load Distance
1 0 1(80) 2(20) 0 100 34.14
2 0 5(20) 3(80) 0 100 34.14
3 0 14(80) 4(20) 0 100 60.64
4 0 6(90) 0 90 28.28
5 0 7(60) 0 60 20.00
6 0 8(90) 0 90 28.28
7 0 1(10) 9(90) 0 100 56.57
8 0 2(40) 10(60) 0 100 40.00
9 0 3(10) 11(90) 0 100 56.57
10 0 12(60) 4(40) 0 100 40.00
11 0 5(40) 13(60) 0 100 40.00
12 0 14(5) 25(95) 0 100 60.02
13 0 15(20) 16(80) 0 100 68.28
14 0 15(35) 26(65) 0 100 44.00
15 0 27(95) 16(5) 0 100 60.02
16 49(0) 17(90) 49(0) 90 28.28
17 49(0) 19(40) 18(60) 49(0) 100 34.14
18 49(0) 41(90) 19(10) 49(0) 100 59.49
19 49(0) 22(80) 20(20) 49(0) 100 34.14
20 49(0) 30(90) 22(10) 49(0) 100 56.57
21 49(0) 24(90) 49(0) 90 28.28
22 49(0) 20(40) 28(60) 49(0) 100 40.00
23 49(0) 19(40) 21(60) 49(0) 100 34.14
24 49(0) 31(60) 23(40) 49(0) 100 40.00
25 49(0) 23(20) 32(80) 49(0) 100 60.64
26 49(0) 29(65) 44(35) 49(0) 100 44.00
27 49(0) 32(15) 46(85) 49(0) 100 60.02
28 50(0) 38(90) 50(0) 90 28.28
29 50(0) 36(60) 44(20) 34(20) 50(0) 100 52.36
30 50(0) 37(20) 35(80) 50(0) 100 34.14
31 50(0) 33(90) 50(0) 90 28.28
32 50(0) 39(20) 40(80) 50(0) 100 34.14
33 50(0) 34(40) 42(60) 50(0) 100 40.00
(cont.)
775
Table B.57 continued.
Route Load Distance
34 50(0) 40(10) 48(90) 50(0) 100 56.57
35 50(0) 39(40) 47(60) 50(0) 100 40.00
36 50(0) 37(40) 45(60) 50(0) 100 40.00
37 50(0) 35(10) 43(90) 50(0) 100 56.57
Total Distance 1601.02
776
Table B.58: IDH solution to SQ3.
Route Load Distance
1 0 1(80) 2(20) 0 100 34.14
2 0 3(90) 0 90 28.28
3 0 14(80) 4(20) 0 100 60.64
4 0 5(60) 0 60 20.00
5 0 6(90) 0 90 28.28
6 0 7(60) 0 60 20.00
7 0 8(90) 0 90 28.28
8 0 1(10) 9(90) 0 100 56.57
9 0 2(40) 10(60) 0 100 40.00
10 0 57(95) 11(5) 0 100 60.02
11 0 4(40) 12(60) 0 100 40.00
12 0 11(80) 13(20) 0 100 68.28
13 0 25(95) 14(5) 0 100 60.02
14 0 16(80) 15(20) 0 100 68.28
15 0 15(35) 26(65) 0 100 44.00
16 0 41(85) 27(15) 0 100 62.84
17 0 13(35) 60(65) 0 100 44.00
18 0 16(5) 62(95) 0 100 60.02
19 65(0) 24(90) 65(0) 90 28.28
20 65(0) 22(10) 30(90) 65(0) 100 56.57
21 65(0) 18(60) 65(0) 60 20.00
22 65(0) 21(30) 44(5) 29(65) 65(0) 100 44.00
23 65(0) 20(20) 22(80) 65(0) 100 34.14
24 65(0) 23(40) 31(60) 65(0) 100 40.00
25 65(0) 21(30) 19(70) 65(0) 100 34.14
26 65(0) 17(90) 65(0) 90 28.28
27 65(0) 19(20) 27(80) 65(0) 100 56.57
28 65(0) 23(20) 32(80) 65(0) 100 60.64
29 65(0) 32(15) 46(85) 65(0) 100 60.02
30 65(0) 28(60) 20(40) 65(0) 100 40.00
31 66(0) 33(90) 66(0) 90 28.28
32 66(0) 42(20) 34(60) 66(0) 80 40.00
33 66(0) 35(90) 66(0) 90 28.28
(cont.)
777
Table B.58 continued.
Route Load Distance
34 66(0) 44(50) 36(50) 66(0) 100 40.00
35 66(0) 45(60) 37(40) 66(0) 100 40.00
36 66(0) 36(10) 38(90) 66(0) 100 34.14
37 66(0) 40(80) 39(20) 66(0) 100 34.14
38 66(0) 37(20) 43(80) 66(0) 100 60.64
39 66(0) 39(40) 47(60) 66(0) 100 40.00
40 66(0) 40(10) 48(90) 66(0) 100 56.57
41 66(0) 42(35) 63(65) 66(0) 100 44.00
42 66(0) 43(5) 64(95) 66(0) 100 60.02
43 67(0) 49(90) 67(0) 90 28.28
44 67(0) 50(20) 52(60) 67(0) 80 34.14
45 67(0) 51(80) 53(20) 67(0) 100 34.14
46 67(0) 54(90) 67(0) 90 28.28
47 67(0) 55(60) 67(0) 60 20.00
48 67(0) 56(90) 67(0) 90 28.28
49 67(0) 50(40) 58(60) 67(0) 100 40.00
50 67(0) 51(10) 59(90) 67(0) 100 56.57
51 67(0) 61(60) 53(40) 67(0) 100 40.00
Total Distance 2142.11
778
Table B.59: IDH solution to SQ4.
Route Load Distance
1 0 1(90) 0 90 28.28
2 0 11(80) 2(20) 0 100 60.64
3 0 3(90) 0 90 28.28
4 0 14(80) 4(20) 0 100 60.64
5 0 5(60) 0 60 20.00
6 0 6(90) 0 90 28.28
7 0 7(60) 0 60 20.00
8 0 8(90) 0 90 28.28
9 0 9(90) 0 90 56.57
10 0 2(40) 10(60) 0 100 40.00
11 0 12(60) 4(40) 0 100 40.00
12 0 16(80) 13(20) 0 100 68.28
13 0 25(95) 14(5) 0 100 60.02
14 0 27(80) 15(20) 0 100 69.83
15 0 62(95) 16(5) 0 100 60.02
16 0 15(35) 26(65) 0 100 44.00
17 0 41(85) 27(15) 0 100 62.84
18 0 11(5) 57(95) 0 100 60.02
19 0 13(35) 60(65) 0 100 44.00
20 81(0) 17(90) 81(0) 90 28.28
21 81(0) 18(60) 81(0) 60 20.00
22 81(0) 19(90) 81(0) 90 28.28
23 81(0) 30(80) 20(20) 81(0) 100 60.64
24 81(0) 22(90) 81(0) 90 28.28
25 81(0) 23(60) 81(0) 60 20.00
26 81(0) 46(90) 24(10) 81(0) 100 59.49
27 81(0) 20(40) 28(60) 81(0) 100 40.00
28 81(0) 24(60) 21(40) 81(0) 100 34.14
29 81(0) 73(85) 30(15) 81(0) 100 60.02
30 81(0) 24(20) 32(80) 81(0) 100 56.57
31 81(0) 21(20) 29(65) 44(15) 81(0) 100 44.00
32 81(0) 31(65) 74(35) 81(0) 100 44.00
33 81(0) 32(15) 75(85) 81(0) 100 60.02
(cont.)
779
Table B.59 continued.
Route Load Distance
34 82(0) 33(90) 82(0) 90 28.28
35 82(0) 42(20) 34(60) 82(0) 80 40.00
36 82(0) 35(90) 82(0) 90 28.28
37 82(0) 44(40) 36(60) 82(0) 100 40.00
38 82(0) 45(60) 37(40) 82(0) 100 40.00
39 82(0) 38(90) 82(0) 90 28.28
40 82(0) 40(80) 39(20) 82(0) 100 34.14
41 82(0) 37(20) 43(80) 82(0) 100 60.64
42 82(0) 39(40) 47(60) 82(0) 100 40.00
43 82(0) 40(10) 48(90) 82(0) 100 56.57
44 82(0) 63(65) 42(35) 82(0) 100 44.00
45 82(0) 43(5) 64(95) 82(0) 100 60.02
46 83(0) 49(90) 83(0) 90 28.28
47 83(0) 52(60) 50(20) 83(0) 80 34.14
48 83(0) 51(80) 53(20) 83(0) 100 34.14
49 83(0) 54(90) 83(0) 90 28.28
50 83(0) 55(60) 83(0) 60 20.00
51 83(0) 56(90) 83(0) 90 28.28
52 83(0) 50(40) 58(60) 83(0) 100 40.00
53 83(0) 51(10) 59(90) 83(0) 100 56.57
54 83(0) 53(40) 61(60) 83(0) 100 40.00
55 84(0) 65(90) 84(0) 90 28.28
56 84(0) 69(20) 74(20) 66(60) 84(0) 100 52.36
57 84(0) 67(90) 84(0) 90 28.28
58 84(0) 76(60) 68(40) 84(0) 100 40.00
59 84(0) 68(20) 70(80) 84(0) 100 34.14
60 84(0) 72(80) 71(20) 84(0) 100 34.14
61 84(0) 80(90) 72(10) 84(0) 100 56.57
62 84(0) 69(40) 77(60) 84(0) 100 40.00
63 84(0) 70(10) 78(90) 84(0) 100 56.57
64 84(0) 71(40) 79(60) 84(0) 100 40.00
Total Distance 2684.02
780
Table B.60: IDH solution to SQ5.
Route Load Distance
1 0 4(20) 1(80) 0 100 34.14
2 0 2(60) 0 60 20.00
3 0 5(20) 3(80) 0 100 34.14
4 0 12(60) 4(40) 0 100 40.00
5 0 6(70) 7(30) 0 100 34.14
6 0 7(30) 8(70) 0 100 34.14
7 0 1(10) 9(90) 0 100 56.57
8 0 3(10) 11(90) 0 100 56.57
9 0 5(40) 13(60) 0 100 40.00
10 0 6(20) 14(80) 0 100 56.57
11 0 30(80) 15(20) 0 100 121.29
12 0 8(20) 16(80) 0 100 56.57
13 0 10(40) 18(60) 0 100 60.00
14 0 21(20) 19(80) 0 100 102.43
15 0 17(80) 20(20) 0 100 102.43
16 0 14(10) 22(90) 0 100 84.85
17 0 15(40) 23(60) 0 100 60.00
18 0 16(10) 24(90) 0 100 84.85
19 0 17(10) 25(90) 0 100 113.14
20 0 10(20) 26(60) 0 80 80.00
21 0 19(10) 27(90) 0 100 113.14
22 0 20(40) 28(60) 0 100 80.00
23 0 21(40) 29(60) 0 100 80.00
24 0 32(80) 31(20) 0 100 136.57
25 0 59(95) 32(5) 0 100 116.57
26 0 30(5) 57(95) 0 100 116.57
27 0 31(35) 58(65) 0 100 84.00
28 65(0) 37(20) 43(80) 65(0) 100 60.64
29 65(0) 36(20) 60(60) 52(20) 65(0) 100 80.00
30 65(0) 55(20) 54(80) 65(0) 100 102.43
31 65(0) 33(90) 65(0) 90 28.28
32 65(0) 39(20) 40(80) 65(0) 100 34.14
33 65(0) 53(20) 56(80) 65(0) 100 102.43
(cont.)
781
Table B.60 continued.
Route Load Distance
34 65(0) 38(90) 65(0) 90 28.28
35 65(0) 39(40) 47(60) 65(0) 100 40.00
36 65(0) 36(40) 34(60) 65(0) 100 34.14
37 65(0) 42(40) 50(60) 65(0) 100 60.00
38 65(0) 42(20) 41(80) 65(0) 100 68.28
39 65(0) 35(90) 65(0) 90 28.28
40 65(0) 41(10) 49(90) 65(0) 100 84.85
41 65(0) 40(10) 48(90) 65(0) 100 56.57
42 65(0) 43(10) 51(90) 65(0) 100 84.85
43 65(0) 56(10) 64(90) 65(0) 100 113.14
44 65(0) 46(90) 65(0) 90 56.57
45 65(0) 53(40) 61(60) 65(0) 100 80.00
46 65(0) 52(40) 44(60) 65(0) 100 60.00
47 65(0) 63(60) 55(40) 65(0) 100 80.00
48 65(0) 37(40) 45(60) 65(0) 100 40.00
49 65(0) 54(10) 62(90) 65(0) 100 113.14
Total Distance 3434.71
782
Table B.61: IDH solution to SQ6.
Route Load Distance
1 0 22(80) 20(20) 0 100 102.43
2 0 3(90) 0 90 28.28
3 0 4(20) 14(80) 0 100 60.64
4 0 5(20) 16(80) 0 100 60.64
5 0 6(90) 0 90 28.28
6 0 2(20) 11(80) 0 100 60.64
7 0 16(10) 24(90) 0 100 84.85
8 0 9(90) 0 90 56.57
9 0 18(40) 26(60) 0 100 80.00
10 0 19(90) 11(10) 0 100 84.85
11 0 20(40) 28(60) 0 100 80.00
12 0 29(60) 21(40) 0 100 80.00
13 0 22(5) 30(85) 14(10) 0 100 113.14
14 0 7(60) 15(40) 0 100 40.00
15 0 17(80) 18(20) 0 100 102.43
16 0 1(90) 0 90 28.28
17 0 32(75) 21(20) 0 95 127.80
18 0 8(90) 0 90 28.28
19 0 17(10) 25(90) 0 100 113.14
20 0 2(40) 10(60) 0 100 40.00
21 0 27(90) 0 90 113.14
22 0 12(60) 4(40) 0 100 40.00
23 0 5(40) 13(60) 0 100 40.00
24 0 22(5) 57(95) 0 100 116.05
25 0 23(60) 31(40) 0 100 80.00
26 0 89(90) 32(10) 0 100 118.79
27 0 15(20) 31(15) 58(65) 0 100 84.00
28 0 59(95) 0 95 116.00
29 97(0) 36(40) 44(60) 97(0) 100 40.00
30 97(0) 39(40) 47(60) 97(0) 100 40.00
31 97(0) 45(20) 53(5) 61(20) 92(55) 97(0) 100 84.00
32 97(0) 52(40) 60(60) 97(0) 100 80.00
33 97(0) 55(40) 63(60) 97(0) 100 80.00
(cont.)
783
Table B.61 continued.
Route Load Distance
34 97(0) 56(90) 48(10) 97(0) 100 84.85
35 97(0) 54(10) 62(90) 97(0) 100 113.14
36 97(0) 38(90) 97(0) 90 28.28
37 97(0) 36(20) 41(80) 97(0) 100 60.64
38 97(0) 35(90) 97(0) 90 28.28
39 97(0) 52(20) 54(80) 97(0) 100 102.43
40 97(0) 41(10) 49(90) 97(0) 100 84.85
41 97(0) 46(90) 97(0) 90 56.57
42 97(0) 55(20) 64(80) 97(0) 100 127.80
43 97(0) 40(90) 97(0) 90 28.28
44 97(0) 45(40) 37(60) 97(0) 100 40.00
45 97(0) 33(90) 97(0) 90 28.28
46 97(0) 34(60) 97(0) 60 20.00
47 97(0) 42(40) 50(60) 97(0) 100 60.00
48 97(0) 39(20) 48(80) 97(0) 100 60.64
49 97(0) 42(20) 43(80) 97(0) 100 68.28
50 97(0) 64(15) 94(85) 97(0) 100 116.57
51 97(0) 43(10) 51(90) 97(0) 100 84.85
52 97(0) 53(55) 61(45) 97(0) 100 80.00
53 98(0) 65(90) 98(0) 90 28.28
54 98(0) 68(60) 66(40) 98(0) 100 34.14
55 98(0) 66(20) 82(20) 74(60) 98(0) 100 60.00
56 98(0) 76(20) 73(80) 98(0) 100 68.28
57 98(0) 70(90) 98(0) 90 28.28
58 98(0) 71(20) 78(80) 98(0) 100 60.64
59 98(0) 72(90) 98(0) 90 28.28
60 98(0) 67(10) 75(90) 98(0) 100 56.57
61 98(0) 69(20) 77(60) 69(20) 98(0) 100 40.00
62 98(0) 86(90) 78(10) 98(0) 100 84.85
63 98(0) 71(40) 79(60) 98(0) 100 40.00
64 98(0) 80(90) 98(0) 90 56.57
65 98(0) 73(10) 81(90) 98(0) 100 84.85
66 98(0) 69(20) 67(80) 98(0) 100 34.14
(cont.)
784
Table B.61 continued.
Route Load Distance
67 98(0) 85(20) 83(80) 98(0) 100 102.43
68 98(0) 76(40) 84(60) 98(0) 100 60.00
69 98(0) 93(60) 85(40) 98(0) 100 80.00
70 98(0) 87(20) 88(80) 98(0) 100 102.43
71 98(0) 82(40) 90(60) 98(0) 100 80.00
72 98(0) 83(10) 91(90) 98(0) 100 113.14
73 98(0) 87(40) 95(60) 98(0) 100 80.00
74 98(0) 88(10) 96(90) 98(0) 100 113.14
Total Distance 5142.06
785
Table B.62: IDH solution to SQ7.
Route Load Distance
1 0 8(90) 0 90 28.28
2 0 16(40) 15(60) 0 100 68.28
3 0 7(60) 0 60 20.00
4 0 6(90) 0 90 28.28
5 0 5(40) 13(60) 0 100 40.00
6 0 3(90) 0 90 28.28
7 0 25(90) 0 90 113.14
8 0 2(40) 10(60) 0 100 40.00
9 0 58(65) 23(15) 0 80 84.00
10 0 14(80) 4(20) 0 100 60.64
11 0 4(40) 12(60) 0 100 40.00
12 0 5(20) 124(20) 21(60) 0 100 84.00
13 0 16(5) 126(95) 0 100 116.02
14 0 2(20) 9(80) 0 100 60.64
15 0 11(80) 0 80 56.57
16 0 1(90) 0 90 28.28
17 0 30(5) 57(95) 0 100 116.57
18 0 14(10) 22(90) 0 100 84.85
19 0 31(55) 23(45) 0 100 80.00
20 0 16(45) 24(55) 0 100 84.85
21 0 9(10) 17(90) 0 100 84.85
22 0 18(40) 26(60) 0 100 80.00
23 0 20(40) 28(60) 0 100 80.00
24 0 124(45) 29(55) 0 100 84.00
25 0 20(20) 30(80) 0 100 127.80
26 0 24(15) 32(85) 0 100 113.14
27 0 11(10) 19(90) 0 100 84.85
28 0 24(5) 59(95) 0 100 116.05
29 0 89(85) 24(15) 0 100 118.79
30 0 27(5) 121(95) 0 100 116.57
31 0 18(20) 27(80) 0 100 127.80
32 129(0) 52(20) 54(80) 129(0) 100 102.43
33 129(0) 45(40) 37(60) 129(0) 100 40.00
(cont.)
786
Table B.62 continued.
Route Load Distance
34 129(0) 38(80) 129(0) 80 28.28
35 129(0) 43(10) 51(90) 129(0) 100 84.85
36 129(0) 39(40) 47(60) 129(0) 100 40.00
37 129(0) 42(40) 50(60) 129(0) 100 60.00
38 129(0) 38(10) 46(90) 129(0) 100 56.57
39 129(0) 34(60) 129(0) 60 20.00
40 129(0) 39(20) 48(80) 129(0) 100 60.64
41 129(0) 36(40) 44(60) 129(0) 100 40.00
42 129(0) 41(10) 49(90) 129(0) 100 84.85
43 129(0) 64(15) 94(85) 129(0) 100 116.57
44 129(0) 36(20) 41(80) 129(0) 100 60.64
45 129(0) 45(20) 61(20) 53(60) 129(0) 100 80.00
46 129(0) 52(40) 60(60) 129(0) 100 80.00
47 129(0) 40(90) 129(0) 90 28.28
48 129(0) 33(90) 129(0) 90 28.28
49 129(0) 55(20) 64(80) 129(0) 100 127.80
50 129(0) 54(10) 62(90) 129(0) 100 113.14
51 129(0) 35(90) 129(0) 90 28.28
52 129(0) 42(20) 43(80) 129(0) 100 68.28
53 129(0) 55(40) 63(60) 129(0) 100 80.00
54 129(0) 48(10) 56(90) 129(0) 100 84.85
55 129(0) 61(45) 92(55) 129(0) 100 84.00
56 130(0) 65(90) 130(0) 90 28.28
57 130(0) 85(20) 91(80) 130(0) 100 127.80
58 130(0) 67(90) 130(0) 90 28.28
59 130(0) 66(40) 74(60) 130(0) 100 40.00
60 130(0) 76(20) 73(80) 130(0) 100 68.28
61 130(0) 80(90) 130(0) 90 56.57
62 130(0) 72(90) 130(0) 90 28.28
63 130(0) 76(40) 84(60) 130(0) 100 60.00
64 130(0) 75(10) 83(90) 130(0) 100 84.85
65 130(0) 69(20) 75(80) 130(0) 100 60.64
66 130(0) 69(40) 77(60) 130(0) 100 40.00
(cont.)
787
Table B.62 continued.
Route Load Distance
67 130(0) 71(40) 79(60) 130(0) 100 40.00
68 130(0) 70(90) 130(0) 90 28.28
69 130(0) 73(10) 81(90) 130(0) 100 84.85
70 130(0) 78(80) 71(20) 130(0) 100 60.64
71 130(0) 87(20) 88(80) 130(0) 100 102.43
72 130(0) 66(20) 90(55) 82(25) 130(0) 100 80.00
73 130(0) 78(10) 86(90) 130(0) 100 84.85
74 130(0) 68(60) 130(0) 60 20.00
75 130(0) 85(40) 93(60) 130(0) 100 80.00
76 130(0) 87(40) 95(60) 130(0) 100 80.00
77 130(0) 88(10) 96(90) 130(0) 100 113.14
78 130(0) 82(35) 127(65) 130(0) 100 84.00
79 130(0) 91(5) 128(95) 130(0) 100 116.57
80 131(0) 97(90) 131(0) 90 28.28
81 131(0) 98(20) 99(80) 131(0) 100 34.14
82 131(0) 105(80) 100(20) 131(0) 100 60.64
83 131(0) 101(60) 131(0) 60 20.00
84 131(0) 102(90) 131(0) 90 28.28
85 131(0) 100(40) 103(60) 131(0) 100 34.14
86 131(0) 104(90) 131(0) 90 28.28
87 131(0) 98(40) 106(60) 131(0) 100 40.00
88 131(0) 99(10) 107(90) 131(0) 100 56.57
89 131(0) 110(80) 108(20) 131(0) 100 68.28
90 131(0) 117(20) 109(60) 131(0) 80 60.00
91 131(0) 118(90) 110(10) 131(0) 100 84.85
92 131(0) 112(80) 111(20) 131(0) 100 68.28
93 131(0) 112(10) 120(90) 131(0) 100 84.85
94 131(0) 105(10) 113(90) 131(0) 100 84.85
95 131(0) 122(60) 114(40) 131(0) 100 80.00
96 131(0) 114(20) 115(80) 131(0) 100 102.43
97 131(0) 108(40) 116(60) 131(0) 100 60.00
98 131(0) 111(40) 119(60) 131(0) 100 60.00
99 131(0) 115(10) 123(90) 131(0) 100 113.14
100 131(0) 117(40) 125(60) 131(0) 100 80.00
Total Distance 6869.14
788
Table B.63: IDH solution to SQ8.
Route Load Distance
1 0 2(20) 11(80) 0 100 60.64
2 0 58(65) 23(35) 0 100 84.00
3 0 14(10) 22(90) 0 100 84.85
4 0 16(40) 15(60) 0 100 68.28
5 0 6(20) 14(80) 0 100 56.57
6 0 11(10) 19(90) 0 100 84.85
7 0 30(5) 57(95) 0 100 116.57
8 0 17(10) 25(90) 0 100 113.14
9 0 24(5) 59(95) 0 100 116.05
10 0 27(5) 121(95) 0 100 116.57
11 0 4(40) 12(60) 0 100 40.00
12 0 24(5) 126(95) 0 100 116.05
13 0 24(50) 16(50) 0 100 84.85
14 0 20(40) 28(60) 0 100 80.00
15 0 17(80) 4(20) 0 100 88.48
16 0 3(90) 0 90 28.28
17 0 7(60) 0 60 20.00
18 0 20(20) 30(80) 0 100 127.80
19 0 18(20) 27(80) 0 100 127.80
20 0 6(70) 0 70 28.28
21 0 9(90) 0 90 56.57
22 0 5(40) 13(60) 0 100 40.00
23 0 124(45) 29(55) 0 100 84.00
24 0 31(55) 23(25) 0 80 80.00
25 0 21(60) 124(20) 5(20) 0 100 84.00
26 0 18(40) 26(60) 0 100 80.00
27 0 24(15) 89(85) 0 100 118.79
28 0 8(90) 0 90 28.28
29 0 24(15) 32(85) 0 100 113.14
30 0 2(40) 10(60) 0 100 40.00
31 0 1(90) 0 90 28.28
32 161(0) 33(90) 161(0) 90 28.28
33 161(0) 64(15) 155(85) 161(0) 100 116.57
(cont.)
789
Table B.63 continued.
Route Load Distance
34 161(0) 35(90) 161(0) 90 28.28
35 161(0) 47(20) 56(80) 161(0) 100 94.05
36 161(0) 46(90) 161(0) 90 56.57
37 161(0) 36(20) 41(80) 161(0) 100 60.64
38 161(0) 40(90) 161(0) 90 28.28
39 161(0) 49(90) 41(10) 161(0) 100 84.85
40 161(0) 39(60) 161(0) 60 20.00
41 161(0) 36(40) 44(60) 161(0) 100 40.00
42 161(0) 37(40) 45(60) 161(0) 100 40.00
43 161(0) 34(60) 161(0) 60 20.00
44 161(0) 63(20) 64(80) 161(0) 100 136.57
45 161(0) 56(10) 94(90) 161(0) 100 116.05
46 161(0) 42(40) 50(60) 161(0) 100 60.00
47 161(0) 43(10) 51(90) 161(0) 100 84.85
48 161(0) 61(40) 53(60) 161(0) 100 80.00
49 161(0) 52(20) 54(80) 161(0) 100 102.43
50 161(0) 47(40) 55(60) 161(0) 100 60.00
51 161(0) 52(40) 60(60) 161(0) 100 80.00
52 161(0) 42(20) 43(80) 161(0) 100 68.28
53 161(0) 37(20) 61(25) 92(55) 161(0) 100 84.00
54 161(0) 62(95) 161(0) 95 113.14
55 161(0) 48(90) 161(0) 90 56.57
56 161(0) 38(90) 161(0) 90 28.28
57 161(0) 63(45) 154(55) 161(0) 100 84.00
58 161(0) 54(10) 153(85) 161(0) 95 116.05
59 162(0) 65(90) 162(0) 90 28.28
60 162(0) 76(20) 73(80) 162(0) 100 68.28
61 162(0) 67(90) 162(0) 90 28.28
62 162(0) 68(60) 162(0) 60 20.00
63 162(0) 71(20) 78(80) 162(0) 100 60.64
64 162(0) 70(90) 162(0) 90 28.28
65 162(0) 87(20) 88(80) 162(0) 100 102.43
66 162(0) 66(40) 74(60) 162(0) 100 40.00
(cont.)
790
Table B.63 continued.
Route Load Distance
67 162(0) 83(90) 75(10) 162(0) 100 84.85
68 162(0) 85(20) 91(80) 162(0) 100 127.80
69 162(0) 69(40) 77(60) 162(0) 100 40.00
70 162(0) 69(20) 75(80) 162(0) 100 60.64
71 162(0) 72(10) 80(90) 162(0) 100 56.57
72 162(0) 73(10) 81(90) 162(0) 100 84.85
73 162(0) 76(40) 84(60) 162(0) 100 60.00
74 162(0) 72(80) 162(0) 80 28.28
75 162(0) 78(10) 86(90) 162(0) 100 84.85
76 162(0) 71(40) 79(60) 162(0) 100 40.00
77 162(0) 96(90) 88(10) 162(0) 100 113.14
78 162(0) 66(20) 90(20) 82(60) 162(0) 100 80.00
79 162(0) 85(40) 93(60) 162(0) 100 80.00
80 162(0) 87(40) 95(60) 162(0) 100 80.00
81 162(0) 90(35) 127(65) 162(0) 100 84.00
82 162(0) 91(5) 128(95) 162(0) 100 116.57
83 163(0) 97(90) 163(0) 90 28.28
84 163(0) 98(20) 99(80) 163(0) 100 34.14
85 163(0) 105(80) 100(20) 163(0) 100 60.64
86 163(0) 101(60) 163(0) 60 20.00
87 163(0) 102(90) 163(0) 90 28.28
88 163(0) 100(40) 103(60) 163(0) 100 34.14
89 163(0) 104(90) 163(0) 90 28.28
90 163(0) 98(40) 106(60) 163(0) 100 40.00
91 163(0) 99(10) 107(90) 163(0) 100 56.57
92 163(0) 110(80) 108(20) 163(0) 100 68.28
93 163(0) 117(20) 109(60) 163(0) 80 60.00
94 163(0) 118(90) 110(10) 163(0) 100 84.85
95 163(0) 112(80) 111(20) 163(0) 100 68.28
96 163(0) 120(90) 112(10) 163(0) 100 84.85
97 163(0) 105(10) 113(90) 163(0) 100 84.85
98 163(0) 122(60) 114(40) 163(0) 100 80.00
99 163(0) 114(20) 115(80) 163(0) 100 102.43
(cont.)
791
Table B.63 continued.
Route Load Distance
100 163(0) 108(40) 116(60) 163(0) 100 60.00
101 163(0) 111(40) 119(60) 163(0) 100 60.00
102 163(0) 115(10) 123(90) 163(0) 100 113.14
103 163(0) 117(40) 125(60) 163(0) 100 80.00
104 164(0) 129(90) 164(0) 90 28.28
105 164(0) 130(60) 164(0) 60 20.00
106 164(0) 131(90) 164(0) 90 28.28
107 164(0) 132(60) 164(0) 60 20.00
108 164(0) 139(80) 133(20) 164(0) 100 60.64
109 164(0) 134(80) 164(0) 80 28.28
110 164(0) 135(20) 136(80) 164(0) 100 34.14
111 164(0) 137(80) 138(20) 164(0) 100 68.28
112 164(0) 148(40) 140(60) 164(0) 100 60.00
113 164(0) 133(40) 141(60) 164(0) 100 40.00
114 164(0) 134(10) 142(90) 164(0) 100 56.57
115 164(0) 135(40) 143(60) 164(0) 100 40.00
116 164(0) 136(10) 144(90) 164(0) 100 56.57
117 164(0) 137(10) 145(90) 164(0) 100 84.85
118 164(0) 138(40) 146(60) 164(0) 100 60.00
119 164(0) 139(10) 147(90) 164(0) 100 84.85
120 164(0) 151(20) 150(80) 164(0) 100 102.43
121 164(0) 149(20) 152(80) 164(0) 100 102.43
122 164(0) 148(20) 156(60) 164(0) 80 80.00
123 164(0) 149(40) 157(60) 164(0) 100 80.00
124 164(0) 150(10) 158(90) 164(0) 100 113.14
125 164(0) 151(40) 159(60) 164(0) 100 80.00
126 164(0) 152(10) 160(90) 164(0) 100 113.14
Total Distance 8600.60
792
Table B.64: IDH solution to SQ9.
Route Load Distance
1 0 9(50) 1(50) 0 100 56.57
2 0 36(20) 28(60) 20(20) 0 100 100.00
3 0 2(60) 1(40) 0 100 34.14
4 0 22(30) 30(70) 0 100 113.14
5 0 9(40) 17(60) 0 100 84.85
6 0 41(90) 33(10) 0 100 169.71
7 0 12(60) 20(40) 0 100 60.00
8 0 16(60) 21(40) 0 100 80.64
9 0 47(20) 39(60) 31(20) 0 100 120.00
10 0 21(20) 37(20) 29(60) 0 100 100.00
11 0 17(30) 25(70) 0 100 113.14
12 0 24(70) 16(30) 0 100 84.85
13 0 11(40) 19(60) 0 100 84.85
14 0 27(20) 35(80) 0 100 141.42
15 0 8(90) 0 90 28.28
16 0 40(90) 24(10) 0 100 141.42
17 0 24(10) 32(90) 0 100 113.14
18 0 3(50) 11(50) 0 100 56.57
19 0 4(60) 6(40) 0 100 34.14
20 0 91(95) 48(5) 0 100 173.13
21 0 36(40) 44(60) 0 100 120.00
22 0 5(60) 0 60 20.00
23 0 25(20) 33(80) 0 100 141.42
24 0 15(20) 46(80) 0 100 176.96
25 0 83(20) 48(80) 0 100 188.13
26 0 35(10) 43(90) 0 100 169.71
27 0 10(20) 42(60) 34(20) 0 100 120.00
28 0 30(10) 81(90) 0 100 177.75
29 0 34(40) 26(60) 0 100 100.00
30 0 15(40) 7(60) 0 100 40.00
31 0 45(60) 37(40) 0 100 120.00
32 0 14(40) 22(60) 0 100 84.85
33 0 47(35) 90(65) 0 100 124.00
(cont.)
793
Table B.64 continued.
Route Load Distance
34 0 30(10) 38(90) 0 100 141.42
35 0 19(30) 27(70) 0 100 113.14
36 0 31(40) 23(60) 0 100 80.00
37 0 46(5) 89(95) 0 100 173.13
38 0 10(40) 18(60) 0 100 60.00
39 0 6(50) 14(50) 0 100 56.57
40 0 13(60) 3(40) 0 100 48.28
41 97(0) 92(60) 84(40) 97(0) 100 120.00
42 97(0) 50(40) 49(60) 97(0) 100 34.14
43 97(0) 74(40) 66(60) 97(0) 100 80.00
44 97(0) 51(90) 97(0) 90 28.28
45 97(0) 67(50) 59(50) 97(0) 100 84.85
46 97(0) 79(40) 87(60) 97(0) 100 100.00
47 97(0) 59(40) 58(40) 50(20) 97(0) 100 68.28
48 97(0) 60(60) 68(40) 97(0) 100 60.00
49 97(0) 52(60) 97(0) 60 20.00
50 97(0) 72(60) 64(40) 97(0) 100 84.85
51 97(0) 93(60) 85(40) 97(0) 100 120.00
52 97(0) 74(20) 82(60) 58(20) 97(0) 100 100.00
53 97(0) 54(50) 62(50) 97(0) 100 56.57
54 97(0) 56(40) 53(60) 97(0) 100 34.14
55 97(0) 63(60) 71(40) 97(0) 100 60.00
56 97(0) 72(20) 88(80) 97(0) 100 141.42
57 97(0) 49(30) 57(70) 97(0) 100 56.57
58 97(0) 86(10) 94(90) 97(0) 100 169.71
59 97(0) 62(10) 70(90) 97(0) 100 84.85
60 97(0) 88(10) 96(90) 97(0) 100 169.71
61 97(0) 62(30) 78(70) 97(0) 100 113.14
62 97(0) 54(40) 55(60) 97(0) 100 34.14
63 97(0) 69(20) 85(20) 77(60) 97(0) 100 100.00
64 97(0) 86(80) 78(20) 97(0) 100 141.42
65 97(0) 64(50) 56(50) 97(0) 100 56.57
66 97(0) 83(70) 67(30) 97(0) 100 141.42
(cont.)
794
Table B.64 continued.
Route Load Distance
67 97(0) 57(20) 65(80) 97(0) 100 84.85
68 97(0) 71(20) 79(20) 95(60) 97(0) 100 120.00
69 97(0) 65(10) 73(90) 97(0) 100 113.14
70 97(0) 67(10) 75(90) 97(0) 100 113.14
71 97(0) 68(20) 76(60) 84(20) 97(0) 100 100.00
72 97(0) 61(60) 69(40) 97(0) 100 60.00
73 97(0) 80(90) 72(10) 97(0) 100 113.14
Total Distance 7109.71
795
Table B.65: IDH solution to SQ10.
Route Load Distance
1 0 27(70) 19(30) 0 100 113.14
2 0 22(10) 38(90) 0 100 141.42
3 0 31(40) 23(60) 0 100 80.00
4 0 29(40) 37(60) 0 100 100.00
5 0 8(80) 0 80 28.28
6 0 7(20) 6(80) 0 100 34.14
7 0 21(60) 24(40) 0 100 102.43
8 0 48(5) 91(95) 0 100 173.13
9 0 47(40) 39(60) 0 100 120.00
10 0 24(10) 40(90) 0 100 141.42
11 0 44(60) 36(40) 0 100 120.00
12 0 17(60) 20(40) 0 100 102.43
13 0 6(10) 30(90) 0 100 113.14
14 0 32(30) 48(70) 0 100 169.71
15 0 43(90) 27(10) 0 100 169.71
16 0 13(60) 5(40) 0 100 40.00
17 0 10(60) 2(40) 0 100 40.00
18 0 24(40) 32(60) 0 100 113.14
19 0 14(90) 0 90 56.57
20 0 34(60) 26(40) 0 100 100.00
21 0 8(10) 16(90) 0 100 56.57
22 0 42(60) 26(20) 18(20) 0 100 120.00
23 0 12(60) 4(40) 0 100 40.00
24 0 9(90) 0 90 56.57
25 0 3(10) 11(90) 0 100 56.57
26 0 25(70) 17(30) 0 100 113.14
27 0 25(10) 41(90) 0 100 169.71
28 0 20(20) 36(20) 28(60) 0 100 100.00
29 0 25(10) 33(90) 0 100 141.42
30 0 19(60) 18(40) 0 100 102.43
31 0 5(20) 45(60) 29(20) 0 100 120.00
32 0 27(10) 35(90) 0 100 141.42
33 0 15(60) 7(40) 0 100 40.00
(cont.)
796
Table B.65 continued.
Route Load Distance
34 0 48(10) 137(90) 0 100 175.36
35 0 1(90) 0 90 28.28
36 0 46(85) 89(15) 0 100 173.13
37 0 4(20) 22(80) 0 100 88.48
38 0 31(20) 47(15) 90(65) 0 100 124.00
39 0 2(20) 3(80) 0 100 34.14
40 145(0) 88(5) 96(95) 145(0) 100 169.71
41 145(0) 92(60) 84(40) 145(0) 100 120.00
42 145(0) 72(80) 56(20) 145(0) 100 84.85
43 145(0) 54(40) 55(60) 145(0) 100 34.14
44 145(0) 62(50) 54(50) 145(0) 100 56.57
45 145(0) 59(30) 67(70) 145(0) 100 84.85
46 145(0) 71(40) 63(60) 145(0) 100 60.00
47 145(0) 65(50) 57(40) 145(0) 90 84.85
48 145(0) 58(20) 66(60) 74(20) 145(0) 100 80.00
49 145(0) 72(10) 80(90) 145(0) 100 113.14
50 145(0) 57(50) 49(50) 145(0) 100 56.57
51 145(0) 78(10) 94(90) 145(0) 100 169.71
52 145(0) 78(80) 70(20) 145(0) 100 113.14
53 145(0) 75(10) 83(90) 145(0) 100 141.42
54 145(0) 65(20) 89(80) 145(0) 100 169.71
55 145(0) 65(10) 81(90) 145(0) 100 141.42
56 145(0) 93(10) 140(55) 85(35) 145(0) 100 124.00
57 145(0) 62(40) 70(60) 145(0) 100 84.85
58 145(0) 68(40) 60(60) 145(0) 100 60.00
59 145(0) 53(30) 61(60) 145(0) 90 40.00
60 145(0) 77(40) 69(60) 145(0) 100 80.00
61 145(0) 52(60) 145(0) 60 20.00
62 145(0) 51(90) 145(0) 90 28.28
63 145(0) 64(90) 145(0) 90 56.57
64 145(0) 67(20) 75(80) 145(0) 100 113.14
65 145(0) 74(40) 82(60) 145(0) 100 100.00
66 145(0) 56(70) 53(30) 145(0) 100 34.14
(cont.)
797
Table B.65 continued.
Route Load Distance
67 145(0) 71(20) 87(20) 95(60) 145(0) 100 120.00
68 145(0) 68(20) 76(60) 84(20) 145(0) 100 100.00
69 145(0) 85(25) 93(55) 77(20) 145(0) 100 120.00
70 145(0) 58(40) 59(60) 145(0) 100 68.28
71 145(0) 49(40) 50(60) 145(0) 100 34.14
72 145(0) 65(10) 73(90) 145(0) 100 113.14
73 145(0) 87(40) 79(60) 145(0) 100 100.00
74 145(0) 86(90) 70(10) 145(0) 100 141.42
75 145(0) 88(85) 145(0) 85 141.42
76 146(0) 101(20) 99(80) 146(0) 100 34.14
77 146(0) 117(60) 109(40) 146(0) 100 60.00
78 146(0) 112(10) 128(90) 146(0) 100 113.14
79 146(0) 110(90) 146(0) 90 56.57
80 146(0) 99(10) 107(90) 146(0) 100 56.57
81 146(0) 114(40) 115(60) 146(0) 100 102.43
82 146(0) 108(40) 100(60) 146(0) 100 40.00
83 146(0) 98(40) 106(60) 146(0) 100 40.00
84 146(0) 114(20) 130(20) 122(60) 146(0) 100 100.00
85 146(0) 119(25) 134(75) 146(0) 100 154.56
86 146(0) 127(60) 119(35) 146(0) 95 80.00
87 146(0) 101(40) 104(60) 146(0) 100 34.14
88 146(0) 98(20) 121(80) 146(0) 100 116.57
89 146(0) 102(80) 103(20) 146(0) 100 34.14
90 146(0) 131(80) 123(10) 115(10) 146(0) 100 141.42
91 146(0) 104(20) 112(80) 146(0) 100 56.57
92 146(0) 97(90) 146(0) 90 28.28
93 146(0) 133(20) 125(60) 109(20) 146(0) 100 100.00
94 146(0) 135(20) 136(80) 146(0) 100 170.71
95 146(0) 102(10) 118(90) 146(0) 100 84.85
96 146(0) 130(40) 138(60) 146(0) 100 120.00
97 146(0) 133(40) 141(60) 146(0) 100 120.00
98 146(0) 104(10) 120(90) 146(0) 100 84.85
99 146(0) 135(40) 143(60) 146(0) 100 120.00
(cont.)
798
Table B.65 continued.
Route Load Distance
100 146(0) 136(10) 144(90) 146(0) 100 169.71
101 146(0) 105(90) 146(0) 90 56.57
102 146(0) 121(10) 129(90) 146(0) 100 141.42
103 146(0) 113(90) 146(0) 90 84.85
104 146(0) 115(20) 123(80) 146(0) 100 113.14
105 146(0) 134(15) 142(85) 146(0) 100 169.71
106 146(0) 131(10) 139(90) 146(0) 100 169.71
107 146(0) 103(40) 111(60) 146(0) 100 40.00
108 146(0) 124(40) 116(60) 146(0) 100 80.00
109 146(0) 108(20) 132(60) 124(20) 146(0) 100 100.00
110 146(0) 126(90) 146(0) 90 113.14
Total Distance 10586.51
799
Table B.66: IDH solution to SQ11.
Route Load Distance
1 0 42(60) 34(20) 18(20) 0 100 120.00
2 0 17(60) 18(40) 0 100 102.43
3 0 27(60) 19(40) 0 100 113.14
4 0 22(15) 30(85) 0 100 113.14
5 0 26(60) 34(40) 0 100 100.00
6 0 22(15) 46(85) 0 100 169.71
7 0 5(10) 137(85) 40(5) 0 100 178.60
8 0 17(10) 25(90) 0 100 113.14
9 0 14(90) 6(10) 0 100 56.57
10 0 91(95) 0 95 172.56
11 0 16(40) 13(60) 0 100 68.28
12 0 15(10) 31(30) 23(60) 0 100 80.00
13 0 6(40) 4(60) 0 100 34.14
14 0 7(10) 39(60) 31(30) 0 100 100.00
15 0 27(5) 185(95) 0 100 172.58
16 0 22(60) 6(40) 0 100 84.85
17 0 24(50) 16(50) 0 100 84.85
18 0 28(60) 36(40) 0 100 100.00
19 0 19(50) 5(50) 0 100 88.48
20 0 7(50) 15(50) 0 100 40.00
21 0 2(10) 9(90) 0 100 60.64
22 0 45(20) 37(60) 21(20) 0 100 120.00
23 0 3(90) 0 90 28.28
24 0 43(85) 35(15) 0 100 169.71
25 0 89(95) 0 95 172.56
26 0 33(80) 17(20) 0 100 141.42
27 0 24(25) 32(75) 0 100 113.14
28 0 24(15) 48(85) 0 100 169.71
29 0 36(20) 44(60) 20(20) 0 100 120.00
30 0 190(95) 0 95 172.56
31 0 2(40) 10(60) 0 100 40.00
32 0 2(10) 11(90) 0 100 60.64
33 0 32(15) 40(85) 0 100 141.42
(cont.)
800
Table B.66 continued.
Route Load Distance
34 0 45(35) 188(65) 0 100 124.00
35 0 8(90) 0 90 28.28
36 0 90(45) 47(55) 0 100 124.00
37 0 33(10) 41(90) 0 100 169.71
38 0 1(90) 0 90 28.28
39 0 29(60) 21(40) 0 100 80.00
40 0 30(5) 38(90) 0 95 141.42
41 0 12(60) 20(40) 0 100 60.00
42 0 27(25) 35(75) 0 100 141.42
43 193(0) 88(10) 96(5) 142(85) 193(0) 100 173.13
44 193(0) 49(90) 193(0) 90 28.28
45 193(0) 59(80) 53(20) 193(0) 100 60.64
46 193(0) 84(20) 92(60) 68(20) 193(0) 100 120.00
47 193(0) 62(50) 54(50) 193(0) 100 56.57
48 193(0) 51(90) 193(0) 90 28.28
49 193(0) 54(40) 52(60) 193(0) 100 34.14
50 193(0) 57(80) 193(0) 80 56.57
51 193(0) 66(60) 74(40) 193(0) 100 80.00
52 193(0) 80(70) 64(30) 193(0) 100 113.14
53 193(0) 53(40) 61(60) 193(0) 100 40.00
54 193(0) 86(90) 78(10) 193(0) 100 141.42
55 193(0) 70(10) 78(80) 70(10) 193(0) 100 113.14
56 193(0) 75(90) 193(0) 90 113.14
57 193(0) 73(10) 81(90) 193(0) 100 141.42
58 193(0) 55(60) 56(40) 193(0) 100 34.14
59 193(0) 93(65) 85(35) 193(0) 100 120.00
60 193(0) 80(20) 88(80) 193(0) 100 141.42
61 193(0) 62(30) 70(70) 193(0) 100 84.85
62 193(0) 71(40) 63(60) 193(0) 100 60.00
63 193(0) 50(20) 58(60) 50(20) 193(0) 100 40.00
64 193(0) 77(40) 69(60) 193(0) 100 80.00
65 193(0) 73(80) 50(20) 193(0) 100 116.57
66 193(0) 56(50) 64(50) 193(0) 100 56.57
(cont.)
801
Table B.66 continued.
Route Load Distance
67 193(0) 65(90) 57(10) 193(0) 100 84.85
68 193(0) 68(40) 60(60) 193(0) 100 60.00
69 193(0) 79(60) 87(40) 193(0) 100 100.00
70 193(0) 76(60) 84(40) 193(0) 100 100.00
71 193(0) 140(55) 85(25) 77(20) 193(0) 100 124.00
72 193(0) 67(90) 59(10) 193(0) 100 84.85
73 193(0) 90(20) 82(60) 74(20) 193(0) 100 120.00
74 193(0) 83(90) 193(0) 90 141.42
75 193(0) 71(20) 87(20) 95(60) 193(0) 100 120.00
76 193(0) 62(10) 94(90) 193(0) 100 169.71
77 193(0) 64(10) 72(90) 193(0) 100 84.85
78 194(0) 118(60) 110(40) 194(0) 100 84.85
79 194(0) 97(10) 105(90) 194(0) 100 56.57
80 194(0) 118(10) 96(90) 194(0) 100 172.57
81 194(0) 109(20) 133(60) 125(20) 194(0) 100 100.00
82 194(0) 111(20) 127(20) 143(60) 194(0) 100 120.00
83 194(0) 192(15) 139(85) 194(0) 100 173.13
84 194(0) 121(10) 129(90) 194(0) 100 141.42
85 194(0) 144(90) 136(10) 194(0) 100 169.71
86 194(0) 101(60) 194(0) 60 20.00
87 194(0) 104(90) 194(0) 90 28.28
88 194(0) 112(50) 103(50) 194(0) 100 60.64
89 194(0) 113(20) 121(80) 194(0) 100 113.14
90 194(0) 97(50) 100(50) 194(0) 100 34.14
91 194(0) 123(10) 131(90) 194(0) 100 141.42
92 194(0) 108(10) 132(60) 124(30) 194(0) 100 100.00
93 194(0) 120(20) 136(80) 194(0) 100 141.42
94 194(0) 97(30) 113(70) 194(0) 100 84.85
95 194(0) 135(60) 127(40) 194(0) 100 100.00
96 194(0) 99(10) 107(90) 194(0) 100 56.57
97 194(0) 109(40) 117(60) 194(0) 100 60.00
98 194(0) 98(20) 123(80) 194(0) 100 116.57
99 194(0) 120(10) 128(90) 194(0) 100 113.14
(cont.)
802
Table B.66 continued.
Route Load Distance
100 194(0) 110(50) 108(50) 194(0) 100 68.28
101 194(0) 98(40) 106(60) 194(0) 100 40.00
102 194(0) 103(10) 102(90) 194(0) 100 34.14
103 194(0) 116(60) 124(30) 100(10) 194(0) 100 80.00
104 194(0) 99(80) 194(0) 80 28.28
105 194(0) 112(40) 120(60) 194(0) 100 84.85
106 194(0) 115(90) 194(0) 90 84.85
107 194(0) 125(40) 141(60) 194(0) 100 120.00
108 194(0) 118(20) 126(80) 194(0) 100 113.14
109 194(0) 122(40) 114(60) 194(0) 100 80.00
110 194(0) 122(20) 138(20) 130(60) 194(0) 100 120.00
111 194(0) 138(35) 191(65) 194(0) 100 124.00
112 194(0) 126(10) 134(90) 194(0) 100 141.42
113 194(0) 111(40) 119(60) 194(0) 100 60.00
114 195(0) 169(10) 177(90) 195(0) 100 141.42
115 195(0) 146(60) 195(0) 60 20.00
116 195(0) 192(80) 184(20) 195(0) 100 169.71
117 195(0) 162(20) 178(60) 170(20) 195(0) 100 100.00
118 195(0) 159(40) 158(60) 195(0) 100 68.28
119 195(0) 160(40) 168(50) 160(10) 195(0) 100 84.85
120 195(0) 172(40) 180(60) 195(0) 100 100.00
121 195(0) 161(90) 195(0) 90 84.85
122 195(0) 145(10) 153(90) 195(0) 100 56.57
123 195(0) 158(20) 174(80) 195(0) 100 113.14
124 195(0) 159(20) 167(60) 175(20) 195(0) 100 80.00
125 195(0) 156(20) 145(80) 195(0) 100 48.28
126 195(0) 176(70) 168(30) 195(0) 100 113.14
127 195(0) 171(70) 155(30) 195(0) 100 113.14
128 195(0) 168(10) 184(70) 176(20) 195(0) 100 141.42
129 195(0) 157(60) 165(40) 195(0) 100 60.00
130 195(0) 156(40) 164(60) 195(0) 100 60.00
131 195(0) 172(20) 169(80) 195(0) 100 136.57
132 195(0) 150(90) 195(0) 90 28.28
(cont.)
803
Table B.66 continued.
Route Load Distance
133 195(0) 149(10) 152(90) 195(0) 100 34.14
134 195(0) 170(40) 186(60) 195(0) 100 120.00
135 195(0) 158(10) 166(90) 195(0) 100 84.85
136 195(0) 147(90) 195(0) 90 28.28
137 195(0) 155(50) 149(50) 195(0) 100 60.64
138 195(0) 148(60) 195(0) 60 20.00
139 195(0) 174(10) 182(90) 195(0) 100 141.42
140 195(0) 171(10) 179(90) 195(0) 100 141.42
141 195(0) 173(40) 189(60) 195(0) 100 120.00
142 195(0) 162(40) 154(60) 195(0) 100 60.00
143 195(0) 165(20) 181(60) 173(20) 195(0) 100 100.00
144 195(0) 175(40) 183(60) 195(0) 100 100.00
145 195(0) 171(10) 187(90) 195(0) 100 169.71
146 195(0) 155(10) 163(90) 195(0) 100 84.85
147 195(0) 151(60) 160(40) 195(0) 100 60.64
Total Distance 14135.80
804
Table B.67: IDH solution to SQ12.
Route Load Distance
1 0 19(10) 27(90) 0 100 113.14
2 0 44(60) 36(40) 0 100 120.00
3 0 31(40) 23(60) 0 100 80.00
4 0 25(20) 33(80) 0 100 141.42
5 0 20(40) 12(60) 0 100 60.00
6 0 45(20) 37(60) 29(20) 0 100 120.00
7 0 91(95) 0 95 172.56
8 0 30(25) 38(75) 0 100 141.42
9 0 26(40) 34(60) 0 100 100.00
10 0 9(50) 1(50) 0 100 56.57
11 0 6(40) 7(60) 0 100 34.14
12 0 89(95) 0 95 172.56
13 0 8(90) 0 90 28.28
14 0 40(75) 24(25) 0 100 141.42
15 0 38(15) 46(85) 0 100 169.71
16 0 29(40) 21(60) 0 100 80.00
17 0 14(35) 30(65) 0 100 113.14
18 0 11(20) 19(80) 0 100 84.85
19 0 4(60) 1(40) 0 100 34.14
20 0 3(90) 0 90 28.28
21 0 17(60) 9(40) 0 100 84.85
22 0 35(90) 0 90 141.42
23 0 31(20) 39(60) 90(20) 0 100 124.00
24 0 43(5) 185(95) 0 100 173.13
25 0 16(45) 24(55) 0 100 84.85
26 0 24(10) 137(85) 0 95 175.36
27 0 33(10) 41(90) 0 100 169.71
28 0 5(20) 43(80) 0 100 172.96
29 0 20(20) 36(20) 28(60) 0 100 100.00
30 0 6(50) 14(50) 0 100 56.57
31 0 16(5) 32(90) 0 95 113.14
32 0 190(95) 0 95 172.56
33 0 2(20) 18(60) 0 80 60.00
(cont.)
805
Table B.67 continued.
Route Load Distance
34 0 15(60) 16(40) 0 100 68.28
35 0 13(60) 5(40) 0 100 40.00
36 0 188(65) 45(35) 0 100 124.00
37 0 90(45) 47(55) 0 100 124.00
38 0 42(60) 26(20) 0 80 120.00
39 0 14(5) 22(90) 0 95 84.85
40 0 2(40) 10(60) 0 100 40.00
41 0 40(15) 48(85) 0 100 169.71
42 0 17(30) 25(70) 0 100 113.14
43 0 11(70) 0 70 56.57
44 241(0) 50(60) 51(40) 241(0) 100 34.14
45 241(0) 58(20) 59(80) 241(0) 100 68.28
46 241(0) 62(60) 55(40) 241(0) 100 60.64
47 241(0) 57(20) 65(70) 241(0) 90 84.85
48 241(0) 68(40) 60(60) 241(0) 100 60.00
49 241(0) 69(20) 93(65) 85(15) 241(0) 100 120.00
50 241(0) 70(10) 86(90) 241(0) 100 141.42
51 241(0) 49(60) 52(40) 241(0) 100 34.14
52 241(0) 74(40) 82(60) 241(0) 100 100.00
53 241(0) 78(15) 233(85) 241(0) 100 172.58
54 241(0) 65(20) 73(80) 241(0) 100 113.14
55 241(0) 72(40) 79(60) 241(0) 100 114.05
56 241(0) 94(95) 78(5) 241(0) 100 169.71
57 241(0) 72(5) 96(95) 241(0) 100 169.71
58 241(0) 52(20) 70(80) 241(0) 100 88.48
59 241(0) 53(10) 61(60) 241(0) 70 40.00
60 241(0) 59(10) 67(90) 241(0) 100 84.85
61 241(0) 74(20) 75(80) 241(0) 100 136.57
62 241(0) 54(90) 241(0) 90 28.28
63 241(0) 63(40) 71(60) 241(0) 100 60.00
64 241(0) 73(10) 81(90) 241(0) 100 141.42
65 241(0) 57(70) 49(30) 241(0) 100 56.57
66 241(0) 84(40) 92(60) 241(0) 100 120.00
(cont.)
806
Table B.67 continued.
Route Load Distance
67 241(0) 69(40) 77(60) 241(0) 100 80.00
68 241(0) 58(40) 66(60) 241(0) 100 60.00
69 241(0) 72(45) 80(55) 241(0) 100 113.14
70 241(0) 84(20) 76(60) 68(20) 241(0) 100 100.00
71 241(0) 78(70) 62(30) 241(0) 100 113.14
72 241(0) 51(50) 53(50) 241(0) 100 34.14
73 241(0) 75(10) 83(90) 241(0) 100 141.42
74 241(0) 234(55) 87(45) 241(0) 100 124.00
75 241(0) 80(10) 88(90) 241(0) 100 141.42
76 241(0) 56(10) 64(90) 241(0) 100 56.57
77 241(0) 63(20) 95(65) 87(15) 241(0) 100 120.00
78 241(0) 85(45) 140(55) 241(0) 100 124.00
79 241(0) 80(10) 142(90) 241(0) 100 172.58
80 241(0) 55(20) 56(80) 241(0) 100 34.14
81 241(0) 80(15) 235(85) 241(0) 100 172.58
82 242(0) 115(90) 242(0) 90 84.85
83 242(0) 139(5) 192(95) 242(0) 100 173.13
84 242(0) 113(90) 242(0) 90 84.85
85 242(0) 102(20) 118(80) 242(0) 100 84.85
86 242(0) 138(35) 191(65) 242(0) 100 124.00
87 242(0) 97(90) 242(0) 90 28.28
88 242(0) 99(90) 242(0) 90 28.28
89 242(0) 122(20) 130(60) 138(20) 242(0) 100 120.00
90 242(0) 109(40) 117(60) 242(0) 100 60.00
91 242(0) 123(10) 131(90) 242(0) 100 141.42
92 242(0) 135(40) 127(60) 242(0) 100 100.00
93 242(0) 129(90) 242(0) 90 141.42
94 242(0) 109(20) 141(60) 133(20) 242(0) 100 120.00
95 242(0) 126(90) 242(0) 90 113.14
96 242(0) 120(10) 128(90) 242(0) 100 113.14
97 242(0) 101(60) 242(0) 60 20.00
98 242(0) 100(20) 124(20) 132(60) 242(0) 100 100.00
99 242(0) 100(40) 108(60) 242(0) 100 40.00
(cont.)
807
Table B.67 continued.
Route Load Distance
100 242(0) 135(20) 143(60) 111(20) 242(0) 100 120.00
101 242(0) 111(40) 119(60) 242(0) 100 60.00
102 242(0) 124(40) 116(60) 242(0) 100 80.00
103 242(0) 120(10) 136(90) 242(0) 100 141.42
104 242(0) 121(90) 242(0) 90 113.14
105 242(0) 104(90) 242(0) 90 28.28
106 242(0) 98(20) 123(80) 242(0) 100 116.57
107 242(0) 103(30) 102(70) 242(0) 100 34.14
108 242(0) 98(40) 106(60) 242(0) 100 40.00
109 242(0) 133(40) 125(60) 242(0) 100 100.00
110 242(0) 110(90) 242(0) 90 56.57
111 242(0) 105(90) 242(0) 90 56.57
112 242(0) 118(10) 134(90) 242(0) 100 141.42
113 242(0) 107(90) 242(0) 90 56.57
114 242(0) 103(30) 120(70) 242(0) 100 88.48
115 242(0) 122(40) 114(60) 242(0) 100 80.00
116 242(0) 112(90) 242(0) 90 56.57
117 242(0) 144(90) 242(0) 90 169.71
118 243(0) 171(10) 179(90) 243(0) 100 141.42
119 243(0) 172(40) 180(60) 243(0) 100 100.00
120 243(0) 151(20) 183(60) 175(20) 243(0) 100 100.00
121 243(0) 178(20) 171(80) 243(0) 100 147.80
122 243(0) 158(30) 166(70) 243(0) 100 84.85
123 243(0) 168(50) 160(50) 243(0) 100 84.85
124 243(0) 174(10) 182(90) 243(0) 100 141.42
125 243(0) 147(80) 243(0) 80 28.28
126 243(0) 153(10) 161(90) 243(0) 100 84.85
127 243(0) 155(90) 243(0) 90 56.57
128 243(0) 162(40) 170(60) 243(0) 100 80.00
129 243(0) 156(40) 158(60) 243(0) 100 68.28
130 243(0) 156(20) 172(20) 164(60) 243(0) 100 80.00
131 243(0) 166(20) 174(80) 243(0) 100 113.14
132 243(0) 163(90) 243(0) 90 84.85
(cont.)
808
Table B.67 continued.
Route Load Distance
133 243(0) 146(20) 153(80) 243(0) 100 60.64
134 243(0) 173(20) 189(60) 157(20) 243(0) 100 120.00
135 243(0) 151(40) 159(60) 243(0) 100 40.00
136 243(0) 160(40) 149(60) 243(0) 100 60.64
137 243(0) 168(20) 139(80) 243(0) 100 172.57
138 243(0) 168(10) 176(90) 243(0) 100 113.14
139 243(0) 175(40) 167(60) 243(0) 100 80.00
140 243(0) 147(10) 187(90) 243(0) 100 169.71
141 243(0) 162(20) 169(80) 243(0) 100 127.80
142 243(0) 150(90) 243(0) 90 28.28
143 243(0) 146(40) 154(60) 243(0) 100 40.00
144 243(0) 157(40) 165(60) 243(0) 100 60.00
145 243(0) 148(60) 243(0) 60 20.00
146 243(0) 173(40) 181(60) 243(0) 100 100.00
147 243(0) 168(10) 184(90) 243(0) 100 141.42
148 243(0) 169(10) 177(90) 243(0) 100 141.42
149 243(0) 186(60) 178(40) 243(0) 100 120.00
150 243(0) 152(90) 243(0) 90 28.28
151 243(0) 145(90) 243(0) 90 28.28
152 244(0) 218(40) 226(60) 244(0) 100 100.00
153 244(0) 195(40) 210(60) 244(0) 100 66.50
154 244(0) 207(60) 215(40) 244(0) 100 60.00
155 244(0) 216(60) 200(40) 244(0) 100 84.85
156 244(0) 199(60) 200(40) 244(0) 100 34.14
157 244(0) 194(40) 202(60) 244(0) 100 40.00
158 244(0) 201(90) 244(0) 90 56.57
159 244(0) 198(40) 196(60) 244(0) 100 34.14
160 244(0) 218(20) 219(80) 244(0) 100 136.57
161 244(0) 193(90) 244(0) 90 28.28
162 244(0) 230(10) 238(90) 244(0) 100 169.71
163 244(0) 215(20) 239(60) 231(20) 244(0) 100 120.00
164 244(0) 209(10) 217(90) 244(0) 100 113.14
165 244(0) 213(60) 205(40) 244(0) 100 60.00
(cont.)
809
Table B.67 continued.
Route Load Distance
166 244(0) 206(30) 222(70) 244(0) 100 113.14
167 244(0) 194(20) 209(80) 244(0) 100 88.48
168 244(0) 225(90) 244(0) 90 141.42
169 244(0) 219(10) 227(90) 244(0) 100 141.42
170 244(0) 195(40) 197(60) 244(0) 100 34.14
171 244(0) 230(80) 222(20) 244(0) 100 141.42
172 244(0) 195(10) 211(90) 244(0) 100 84.85
173 244(0) 216(10) 232(90) 244(0) 100 141.42
174 244(0) 228(60) 220(40) 244(0) 100 100.00
175 244(0) 220(20) 236(60) 204(20) 244(0) 100 120.00
176 244(0) 198(50) 206(50) 244(0) 100 56.57
177 244(0) 203(90) 244(0) 90 56.57
178 244(0) 221(40) 237(60) 244(0) 100 120.00
179 244(0) 221(20) 229(60) 205(20) 244(0) 100 100.00
180 244(0) 216(10) 240(90) 244(0) 100 169.71
181 244(0) 206(10) 214(90) 244(0) 100 84.85
182 244(0) 231(40) 223(60) 244(0) 100 100.00
183 244(0) 200(10) 208(90) 244(0) 100 56.57
184 244(0) 216(10) 224(90) 244(0) 100 113.14
185 244(0) 204(40) 212(60) 244(0) 100 60.00
Total Distance 17739.64
810
Table B.68: Estimated solution to SQ1.
Route Load Distance
1 0 1(10) 9(90) 0 100 56.57
2 0 1(80) 2(20) 0 100 34.14
3 0 2(40) 10(60) 0 100 40.00
4 0 3(10) 11(90) 0 100 56.57
5 0 3(80) 5(20) 0 100 34.14
6 0 5(40) 13(60) 0 100 40.00
7 0 6(10) 14(85) 25(5) 14(0) 0 100 60.57
8 0 6(80) 4(20) 0 100 34.14
9 0 4(40) 12(60) 0 100 40.00
10 0 8(10) 16(85) 27(5) 16(0) 0 100 60.57
11 0 8(80) 7(20) 0 100 34.14
12 0 7(40) 15(55) 26(5) 0 100 44.00
13 33(0) 17(10) 25(90) 33(0) 100 56.57
14 33(0) 17(80) 18(20) 33(0) 100 34.14
15 33(0) 18(40) 26(60) 33(0) 100 40.00
16 33(0) 19(10) 27(90) 33(0) 100 56.57
17 33(0) 19(80) 21(20) 33(0) 100 34.14
18 33(0) 21(40) 29(60) 33(0) 100 40.00
19 33(0) 22(10) 30(90) 33(0) 100 56.57
20 33(0) 22(80) 20(20) 33(0) 100 34.14
21 33(0) 20(40) 28(60) 33(0) 100 40.00
22 33(0) 24(10) 32(90) 33(0) 100 56.57
23 33(0) 24(80) 23(20) 33(0) 100 34.14
24 33(0) 23(40) 31(60) 33(0) 100 40.00
Total Distance 1057.69
811
Table B.69: Estimated solution to SQ2.
Route Load Distance
1 0 1(10) 9(90) 0 100 56.57
2 0 1(80) 2(20) 0 100 34.14
3 0 2(40) 10(60) 0 100 40.00
4 0 3(10) 11(90) 0 100 56.57
5 0 3(80) 5(20) 0 100 34.14
6 0 5(40) 13(60) 0 100 40.00
7 0 6(10) 14(85) 25(5) 14(0) 0 100 60.57
8 0 6(80) 4(20) 0 100 34.14
9 0 4(40) 12(60) 0 100 40.00
10 0 8(10) 16(85) 27(5) 16(0) 0 100 60.57
11 0 8(80) 7(20) 0 100 34.14
12 0 7(40) 15(55) 26(5) 0 100 44.00
13 49(0) 17(10) 25(90) 49(0) 100 56.57
14 49(0) 17(80) 18(20) 49(0) 100 34.14
15 49(0) 18(40) 26(60) 49(0) 100 40.00
16 49(0) 19(10) 27(90) 49(0) 100 56.57
17 49(0) 19(80) 21(20) 49(0) 100 34.14
18 49(0) 21(40) 29(60) 49(0) 100 40.00
19 49(0) 22(10) 30(90) 49(0) 100 56.57
20 49(0) 22(80) 20(20) 49(0) 100 34.14
21 49(0) 20(40) 28(60) 49(0) 100 40.00
22 49(0) 24(10) 32(90) 49(0) 100 56.57
23 49(0) 24(80) 23(20) 49(0) 100 34.14
24 49(0) 23(40) 31(60) 49(0) 100 40.00
25 50(0) 33(10) 41(90) 50(0) 100 56.57
26 50(0) 33(80) 34(20) 50(0) 100 34.14
27 50(0) 34(40) 42(60) 50(0) 100 40.00
28 50(0) 35(10) 43(90) 50(0) 100 56.57
29 50(0) 35(80) 37(20) 50(0) 100 34.14
30 50(0) 37(40) 45(60) 50(0) 100 40.00
31 50(0) 38(10) 46(85) 32(5) 46(0) 50(0) 100 60.57
32 50(0) 38(80) 36(20) 50(0) 100 34.14
33 50(0) 36(40) 44(55) 29(5) 50(0) 100 44.00
34 50(0) 40(10) 48(90) 50(0) 100 56.57
35 50(0) 40(80) 39(20) 50(0) 100 34.14
36 50(0) 39(40) 47(60) 50(0) 100 40.00
Total Distance 1588.53
812
Table B.70: Estimated solution to SQ3.
Route Load Distance
1 0 1(10) 9(90) 0 100 56.57
2 0 1(80) 2(20) 0 100 34.14
3 0 2(40) 10(60) 0 100 40.00
4 0 3(10) 11(85) 57(5) 11(0) 0 100 60.57
5 0 3(80) 5(20) 0 100 34.14
6 0 5(40) 13(55) 60(5) 0 100 44.00
7 0 6(10) 14(85) 25(5) 14(0) 0 100 60.57
8 0 6(80) 4(20) 0 100 34.14
9 0 4(40) 12(60) 0 100 40.00
10 0 8(10) 16(85) 27(5) 16(0) 0 100 60.57
11 0 8(80) 7(20) 0 100 34.14
12 0 7(40) 15(55) 26(5) 0 100 44.00
13 65(0) 17(10) 25(90) 65(0) 100 56.57
14 65(0) 17(80) 18(20) 65(0) 100 34.14
15 65(0) 18(40) 26(60) 65(0) 100 40.00
16 65(0) 19(10) 27(90) 65(0) 100 56.57
17 65(0) 19(80) 21(20) 65(0) 100 34.14
18 65(0) 21(40) 29(60) 65(0) 100 40.00
19 65(0) 22(10) 30(90) 65(0) 100 56.57
20 65(0) 22(80) 20(20) 65(0) 100 34.14
21 65(0) 20(40) 28(60) 65(0) 100 40.00
22 65(0) 24(10) 32(90) 65(0) 100 56.57
23 65(0) 24(80) 23(20) 65(0) 100 34.14
24 65(0) 23(40) 31(60) 65(0) 100 40.00
25 66(0) 33(10) 41(85) 62(5) 41(0) 66(0) 100 60.57
26 66(0) 33(80) 34(20) 66(0) 100 34.14
27 66(0) 34(40) 42(55) 63(5) 66(0) 100 44.00
28 66(0) 35(10) 43(85) 64(5) 43(0) 66(0) 100 60.57
29 66(0) 35(80) 37(20) 66(0) 100 34.14
30 66(0) 37(40) 45(60) 66(0) 100 40.00
31 66(0) 38(10) 46(85) 32(5) 46(0) 66(0) 100 60.57
32 66(0) 38(80) 36(20) 66(0) 100 34.14
33 66(0) 36(40) 44(55) 29(5) 66(0) 100 44.00
(cont.)
813
Table B.70 continued.
Route Load Distance
34 66(0) 40(10) 48(90) 66(0) 100 56.57
35 66(0) 40(80) 39(20) 66(0) 100 34.14
36 66(0) 39(40) 47(60) 66(0) 100 40.00
37 67(0) 49(10) 57(90) 67(0) 100 56.57
38 67(0) 49(80) 50(20) 67(0) 100 34.14
39 67(0) 50(40) 58(60) 67(0) 100 40.00
40 67(0) 51(10) 59(90) 67(0) 100 56.57
41 67(0) 51(80) 53(20) 67(0) 100 34.14
42 67(0) 53(40) 61(60) 67(0) 100 40.00
43 67(0) 54(10) 62(90) 67(0) 100 56.57
44 67(0) 54(80) 52(20) 67(0) 100 34.14
45 67(0) 52(40) 60(60) 67(0) 100 40.00
46 67(0) 56(10) 64(90) 67(0) 100 56.57
47 67(0) 56(80) 55(20) 67(0) 100 34.14
48 67(0) 55(40) 63(60) 67(0) 100 40.00
Total Distance 2131.37
814
Table B.71: Estimated solution to SQ4.
Route Load Distance
1 0 1(10) 9(90) 0 100 56.57
2 0 1(80) 2(20) 0 100 34.14
3 0 2(40) 10(60) 0 100 40.00
4 0 3(10) 11(85) 57(5) 11(0) 0 100 60.57
5 0 3(80) 5(20) 0 100 34.14
6 0 5(40) 13(55) 60(5) 0 100 44.00
7 0 6(10) 14(85) 25(5) 14(0) 0 100 60.57
8 0 6(80) 4(20) 0 100 34.14
9 0 4(40) 12(60) 0 100 40.00
10 0 8(10) 16(85) 27(5) 16(0) 0 100 60.57
11 0 8(80) 7(20) 0 100 34.14
12 0 7(40) 15(55) 26(5) 0 100 44.00
13 81(0) 17(10) 25(90) 81(0) 100 56.57
14 81(0) 17(80) 18(20) 81(0) 100 34.14
15 81(0) 18(40) 26(60) 81(0) 100 40.00
16 81(0) 19(10) 27(90) 81(0) 100 56.57
17 81(0) 19(80) 21(20) 81(0) 100 34.14
18 81(0) 21(40) 29(60) 81(0) 100 40.00
19 81(0) 22(10) 30(90) 81(0) 100 56.57
20 81(0) 22(80) 20(20) 81(0) 100 34.14
21 81(0) 20(40) 28(60) 81(0) 100 40.00
22 81(0) 24(10) 32(90) 81(0) 100 56.57
23 81(0) 24(80) 23(20) 81(0) 100 34.14
24 81(0) 23(40) 31(60) 81(0) 100 40.00
25 82(0) 33(10) 41(85) 62(5) 41(0) 82(0) 100 60.57
26 82(0) 33(80) 34(20) 82(0) 100 34.14
27 82(0) 34(40) 42(55) 63(5) 82(0) 100 44.00
28 82(0) 35(10) 43(85) 64(5) 43(0) 82(0) 100 60.57
29 82(0) 35(80) 37(20) 82(0) 100 34.14
30 82(0) 37(40) 45(60) 82(0) 100 40.00
31 82(0) 38(10) 46(90) 82(0) 100 56.57
32 82(0) 38(80) 36(20) 82(0) 100 34.14
33 82(0) 36(40) 44(55) 29(5) 82(0) 100 44.00
(cont.)
815
Table B.71 continued.
Route Load Distance
34 82(0) 40(10) 48(90) 82(0) 100 56.57
35 82(0) 40(80) 39(20) 82(0) 100 34.14
36 82(0) 39(40) 47(60) 82(0) 100 40.00
37 83(0) 49(10) 57(90) 83(0) 100 56.57
38 83(0) 49(80) 50(20) 83(0) 100 34.14
39 83(0) 50(40) 58(60) 83(0) 100 40.00
40 83(0) 51(10) 59(90) 83(0) 100 56.57
41 83(0) 51(80) 53(20) 83(0) 100 34.14
42 83(0) 53(40) 61(60) 83(0) 100 40.00
43 83(0) 54(10) 62(90) 83(0) 100 56.57
44 83(0) 54(80) 52(20) 83(0) 100 34.14
45 83(0) 52(40) 60(60) 83(0) 100 40.00
46 83(0) 56(10) 64(90) 83(0) 100 56.57
47 83(0) 56(80) 55(20) 83(0) 100 34.14
48 83(0) 55(40) 63(60) 83(0) 100 40.00
49 84(0) 65(10) 73(85) 30(5) 73(0) 84(0) 100 60.57
50 84(0) 65(80) 66(20) 84(0) 100 34.14
51 84(0) 66(40) 74(55) 31(5) 84(0) 100 44.00
52 84(0) 67(10) 75(85) 32(5) 75(0) 84(0) 100 60.57
53 84(0) 67(80) 69(20) 84(0) 100 34.14
54 84(0) 69(40) 77(60) 84(0) 100 40.00
55 84(0) 70(10) 78(90) 84(0) 100 56.57
56 84(0) 70(80) 68(20) 84(0) 100 34.14
57 84(0) 68(40) 76(60) 84(0) 100 40.00
58 84(0) 72(10) 80(90) 84(0) 100 56.57
59 84(0) 72(80) 71(20) 84(0) 100 34.14
60 84(0) 71(40) 79(60) 84(0) 100 40.00
Total Distance 2662.21
816
Table B.72: Estimated solution to SQ5.
Route Load Distance
1 0 1(10) 9(90) 0 100 56.57
2 0 1(80) 2(20) 0 100 34.14
3 0 2(40) 10(60) 0 100 40.00
4 0 3(10) 11(90) 0 100 56.57
5 0 3(80) 5(20) 0 100 34.14
6 0 5(40) 13(60) 0 100 40.00
7 0 6(10) 14(90) 0 100 56.57
8 0 6(80) 4(20) 0 100 34.14
9 0 4(40) 12(60) 0 100 40.00
10 0 8(10) 16(90) 0 100 56.57
11 0 8(80) 7(20) 0 100 34.14
12 0 7(40) 15(60) 0 100 40.00
13 0 17(10) 25(90) 0 100 113.14
14 0 17(80) 18(20) 0 100 102.43
15 0 18(40) 26(60) 0 100 80.00
16 0 19(10) 27(90) 0 100 113.14
17 0 19(80) 21(20) 0 100 102.43
18 0 21(40) 29(60) 0 100 80.00
19 0 22(10) 30(85) 57(5) 30(0) 0 100 117.14
20 0 22(80) 20(20) 0 100 102.43
21 0 20(40) 28(60) 0 100 80.00
22 0 24(10) 32(85) 59(5) 32(0) 0 100 117.14
23 0 24(80) 23(20) 0 100 102.43
24 0 23(40) 31(55) 58(5) 0 100 84.00
25 65(0) 33(10) 41(90) 65(0) 100 56.57
26 65(0) 33(80) 34(20) 65(0) 100 34.14
27 65(0) 34(40) 42(60) 65(0) 100 40.00
28 65(0) 35(10) 43(90) 65(0) 100 56.57
29 65(0) 35(80) 37(20) 65(0) 100 34.14
30 65(0) 37(40) 45(60) 65(0) 100 40.00
31 65(0) 38(10) 46(90) 65(0) 100 56.57
32 65(0) 38(80) 36(20) 65(0) 100 34.14
33 65(0) 36(40) 44(60) 65(0) 100 40.00
(cont.)
817
Table B.72 continued.
Route Load Distance
34 65(0) 40(10) 48(90) 65(0) 100 56.57
35 65(0) 40(80) 39(20) 65(0) 100 34.14
36 65(0) 39(40) 47(60) 65(0) 100 40.00
37 65(0) 49(10) 57(90) 65(0) 100 113.14
38 65(0) 49(80) 50(20) 65(0) 100 102.43
39 65(0) 50(40) 58(60) 65(0) 100 80.00
40 65(0) 51(10) 59(90) 65(0) 100 113.14
41 65(0) 51(80) 53(20) 65(0) 100 102.43
42 65(0) 53(40) 61(60) 65(0) 100 80.00
43 65(0) 54(10) 62(90) 65(0) 100 113.14
44 65(0) 54(80) 52(20) 65(0) 100 102.43
45 65(0) 52(40) 60(60) 65(0) 100 80.00
46 65(0) 56(10) 64(90) 65(0) 100 113.14
47 65(0) 56(80) 55(20) 65(0) 100 102.43
48 65(0) 55(40) 63(60) 65(0) 100 80.00
Total Distance 3422.19
818
Table B.73: Estimated solution to SQ6.
Route Load Distance
1 0 1(10) 9(90) 0 100 56.57
2 0 1(80) 2(20) 0 100 34.14
3 0 2(40) 10(60) 0 100 40.00
4 0 3(10) 11(90) 0 100 56.57
5 0 3(80) 5(20) 0 100 34.14
6 0 5(40) 13(60) 0 100 40.00
7 0 6(10) 14(90) 0 100 56.57
8 0 6(80) 4(20) 0 100 34.14
9 0 4(40) 12(60) 0 100 40.00
10 0 8(10) 16(90) 0 100 56.57
11 0 8(80) 7(20) 0 100 34.14
12 0 7(40) 15(60) 0 100 40.00
13 0 17(10) 25(90) 0 100 113.14
14 0 17(80) 18(20) 0 100 102.43
15 0 18(40) 26(60) 0 100 80.00
16 0 19(10) 27(90) 0 100 113.14
17 0 19(80) 21(20) 0 100 102.43
18 0 21(40) 29(60) 0 100 80.00
19 0 22(10) 30(85) 57(5) 30(0) 0 100 117.14
20 0 22(80) 20(20) 0 100 102.43
21 0 20(40) 28(60) 0 100 80.00
22 0 24(10) 32(85) 59(5) 32(0) 0 100 117.14
23 0 24(80) 23(20) 0 100 102.43
24 0 23(40) 31(55) 58(5) 0 100 84.00
25 97(0) 33(10) 41(90) 97(0) 100 56.57
26 97(0) 33(80) 34(20) 97(0) 100 34.14
27 97(0) 34(40) 42(60) 97(0) 100 40.00
28 97(0) 35(10) 43(90) 97(0) 100 56.57
29 97(0) 35(80) 37(20) 97(0) 100 34.14
30 97(0) 37(40) 45(60) 97(0) 100 40.00
31 97(0) 38(10) 46(90) 97(0) 100 56.57
32 97(0) 38(80) 36(20) 97(0) 100 34.14
33 97(0) 36(40) 44(60) 97(0) 100 40.00
(cont.)
819
Table B.73 continued.
Route Load Distance
34 97(0) 40(10) 48(90) 97(0) 100 56.57
35 97(0) 40(80) 39(20) 97(0) 100 34.14
36 97(0) 39(40) 47(60) 97(0) 100 40.00
37 97(0) 49(10) 57(90) 97(0) 100 113.14
38 97(0) 49(80) 50(20) 97(0) 100 102.43
39 97(0) 50(40) 58(60) 97(0) 100 80.00
40 97(0) 51(10) 59(90) 97(0) 100 113.14
41 97(0) 51(80) 53(20) 97(0) 100 102.43
42 97(0) 53(40) 61(60) 97(0) 100 80.00
43 97(0) 54(10) 62(90) 97(0) 100 113.14
44 97(0) 54(80) 52(20) 97(0) 100 102.43
45 97(0) 52(40) 60(60) 97(0) 100 80.00
46 97(0) 56(10) 64(90) 97(0) 100 113.14
47 97(0) 56(80) 55(20) 97(0) 100 102.43
48 97(0) 55(40) 63(60) 97(0) 100 80.00
49 98(0) 65(10) 73(90) 98(0) 100 56.57
50 98(0) 65(80) 66(20) 98(0) 100 34.14
51 98(0) 66(40) 74(60) 98(0) 100 40.00
52 98(0) 67(10) 75(90) 98(0) 100 56.57
53 98(0) 67(80) 69(20) 98(0) 100 34.14
54 98(0) 69(40) 77(60) 98(0) 100 40.00
55 98(0) 70(10) 78(90) 98(0) 100 56.57
56 98(0) 70(80) 68(20) 98(0) 100 34.14
57 98(0) 68(40) 76(60) 98(0) 100 40.00
58 98(0) 72(10) 80(90) 98(0) 100 56.57
59 98(0) 72(80) 71(20) 98(0) 100 34.14
60 98(0) 71(40) 79(60) 98(0) 100 40.00
61 98(0) 81(10) 89(90) 98(0) 100 113.14
62 98(0) 81(80) 82(20) 98(0) 100 102.43
63 98(0) 82(40) 90(60) 98(0) 100 80.00
64 98(0) 83(10) 91(90) 98(0) 100 113.14
65 98(0) 83(80) 85(20) 98(0) 100 102.43
66 98(0) 85(40) 93(60) 98(0) 100 80.00
(cont.)
820
Table B.73 continued.
Route Load Distance
67 98(0) 86(10) 94(85) 64(5) 94(0) 98(0) 100 117.14
68 98(0) 86(80) 84(20) 98(0) 100 102.43
69 98(0) 84(40) 92(55) 61(5) 98(0) 100 84.00
70 98(0) 88(10) 96(90) 98(0) 100 113.14
71 98(0) 88(80) 87(20) 98(0) 100 102.43
72 98(0) 87(40) 95(60) 98(0) 100 80.00
Total Distance 5135.29
821
Table B.74: Estimated solution to SQ7.
Route Load Distance
1 0 1(10) 9(90) 0 100 56.57
2 0 1(80) 2(20) 0 100 34.14
3 0 2(40) 10(60) 0 100 40.00
4 0 3(10) 11(90) 0 100 56.57
5 0 3(80) 5(20) 0 100 34.14
6 0 5(40) 13(60) 0 100 40.00
7 0 6(10) 14(90) 0 100 56.57
8 0 6(80) 4(20) 0 100 34.14
9 0 4(40) 12(60) 0 100 40.00
10 0 8(10) 16(90) 0 100 56.57
11 0 8(80) 7(20) 0 100 34.14
12 0 7(40) 15(60) 0 100 40.00
13 0 17(10) 25(90) 0 100 113.14
14 0 17(80) 18(20) 0 100 102.43
15 0 18(40) 26(60) 0 100 80.00
16 0 19(10) 27(85) 121(5) 27(0) 0 100 117.14
17 0 19(80) 21(20) 0 100 102.43
18 0 21(40) 29(55) 124(5) 0 100 84.00
19 0 22(10) 30(85) 57(5) 30(0) 0 100 117.14
20 0 22(80) 20(20) 0 100 102.43
21 0 20(40) 28(60) 0 100 80.00
22 0 24(10) 32(85) 59(5) 32(0) 0 100 117.14
23 0 24(80) 23(20) 0 100 102.43
24 0 23(40) 31(55) 58(5) 0 100 84.00
25 129(0) 33(10) 41(90) 129(0) 100 56.57
26 129(0) 33(80) 34(20) 129(0) 100 34.14
27 129(0) 34(40) 42(60) 129(0) 100 40.00
28 129(0) 35(10) 43(90) 129(0) 100 56.57
29 129(0) 35(80) 37(20) 129(0) 100 34.14
30 129(0) 37(40) 45(60) 129(0) 100 40.00
31 129(0) 38(10) 46(90) 129(0) 100 56.57
32 129(0) 38(80) 36(20) 129(0) 100 34.14
33 129(0) 36(40) 44(60) 129(0) 100 40.00
(cont.)
822
Table B.74 continued.
Route Load Distance
34 129(0) 40(10) 48(90) 129(0) 100 56.57
35 129(0) 40(80) 39(20) 129(0) 100 34.14
36 129(0) 39(40) 47(60) 129(0) 100 40.00
37 129(0) 49(10) 57(90) 129(0) 100 113.14
38 129(0) 49(80) 50(20) 129(0) 100 102.43
39 129(0) 50(40) 58(60) 129(0) 100 80.00
40 129(0) 51(10) 59(90) 129(0) 100 113.14
41 129(0) 51(80) 53(20) 129(0) 100 102.43
42 129(0) 53(40) 61(60) 129(0) 100 80.00
43 129(0) 54(10) 62(90) 129(0) 100 113.14
44 129(0) 54(80) 52(20) 129(0) 100 102.43
45 129(0) 52(40) 60(60) 129(0) 100 80.00
46 129(0) 56(10) 64(90) 129(0) 100 113.14
47 129(0) 56(80) 55(20) 129(0) 100 102.43
48 129(0) 55(40) 63(60) 129(0) 100 80.00
49 130(0) 65(10) 73(90) 130(0) 100 56.57
50 130(0) 65(80) 66(20) 130(0) 100 34.14
51 130(0) 66(40) 74(60) 130(0) 100 40.00
52 130(0) 67(10) 75(90) 130(0) 100 56.57
53 130(0) 67(80) 69(20) 130(0) 100 34.14
54 130(0) 69(40) 77(60) 130(0) 100 40.00
55 130(0) 70(10) 78(90) 130(0) 100 56.57
56 130(0) 70(80) 68(20) 130(0) 100 34.14
57 130(0) 68(40) 76(60) 130(0) 100 40.00
58 130(0) 72(10) 80(90) 130(0) 100 56.57
59 130(0) 72(80) 71(20) 130(0) 100 34.14
60 130(0) 71(40) 79(60) 130(0) 100 40.00
61 130(0) 81(10) 89(85) 126(5) 89(0) 130(0) 100 117.14
62 130(0) 81(80) 82(20) 130(0) 100 102.43
63 130(0) 82(40) 90(55) 127(5) 130(0) 100 84.00
64 130(0) 83(10) 91(85) 128(5) 91(0) 130(0) 100 117.14
65 130(0) 83(80) 85(20) 130(0) 100 102.43
66 130(0) 85(40) 93(60) 130(0) 100 80.00
(cont.)
823
Table B.74 continued.
Route Load Distance
67 130(0) 86(10) 94(85) 64(5) 94(0) 130(0) 100 117.14
68 130(0) 86(80) 84(20) 130(0) 100 102.43
69 130(0) 84(40) 92(55) 61(5) 130(0) 100 84.00
70 130(0) 88(10) 96(90) 130(0) 100 113.14
71 130(0) 88(80) 87(20) 130(0) 100 102.43
72 130(0) 87(40) 95(60) 130(0) 100 80.00
73 131(0) 97(10) 105(90) 131(0) 100 56.57
74 131(0) 97(80) 98(20) 131(0) 100 34.14
75 131(0) 98(40) 106(60) 131(0) 100 40.00
76 131(0) 99(10) 107(90) 131(0) 100 56.57
77 131(0) 99(80) 101(20) 131(0) 100 34.14
78 131(0) 101(40) 109(60) 131(0) 100 40.00
79 131(0) 102(10) 110(90) 131(0) 100 56.57
80 131(0) 102(80) 100(20) 131(0) 100 34.14
81 131(0) 100(40) 108(60) 131(0) 100 40.00
82 131(0) 104(10) 112(90) 131(0) 100 56.57
83 131(0) 104(80) 103(20) 131(0) 100 34.14
84 131(0) 103(40) 111(60) 131(0) 100 40.00
85 131(0) 113(10) 121(90) 131(0) 100 113.14
86 131(0) 113(80) 114(20) 131(0) 100 102.43
87 131(0) 114(40) 122(60) 131(0) 100 80.00
88 131(0) 115(10) 123(90) 131(0) 100 113.14
89 131(0) 115(80) 117(20) 131(0) 100 102.43
90 131(0) 117(40) 125(60) 131(0) 100 80.00
91 131(0) 118(10) 126(90) 131(0) 100 113.14
92 131(0) 118(80) 116(20) 131(0) 100 102.43
93 131(0) 116(40) 124(60) 131(0) 100 80.00
94 131(0) 120(10) 128(90) 131(0) 100 113.14
95 131(0) 120(80) 119(20) 131(0) 100 102.43
96 131(0) 119(40) 127(60) 131(0) 100 80.00
Total Distance 6860.39
824
Table B.75: Estimated solution to SQ8.
Route Load Distance
1 0 1(10) 9(90) 0 100 56.57
2 0 1(80) 2(20) 0 100 34.14
3 0 2(40) 10(60) 0 100 40.00
4 0 3(10) 11(90) 0 100 56.57
5 0 3(80) 5(20) 0 100 34.14
6 0 5(40) 13(60) 0 100 40.00
7 0 6(10) 14(90) 0 100 56.57
8 0 6(80) 4(20) 0 100 34.14
9 0 4(40) 12(60) 0 100 40.00
10 0 8(10) 16(90) 0 100 56.57
11 0 8(80) 7(20) 0 100 34.14
12 0 7(40) 15(60) 0 100 40.00
13 0 17(10) 25(90) 0 100 113.14
14 0 17(80) 18(20) 0 100 102.43
15 0 18(40) 26(60) 0 100 80.00
16 0 19(10) 27(85) 121(5) 27(0) 0 100 117.14
17 0 19(80) 21(20) 0 100 102.43
18 0 21(40) 29(55) 124(5) 0 100 84.00
19 0 22(10) 30(85) 57(5) 30(0) 0 100 117.14
20 0 22(80) 20(20) 0 100 102.43
21 0 20(40) 28(60) 0 100 80.00
22 0 24(10) 32(85) 59(5) 32(0) 0 100 117.14
23 0 24(80) 23(20) 0 100 102.43
24 0 23(40) 31(55) 58(5) 0 100 84.00
25 161(0) 33(10) 41(90) 161(0) 100 56.57
26 161(0) 33(80) 34(20) 161(0) 100 34.14
27 161(0) 34(40) 42(60) 161(0) 100 40.00
28 161(0) 35(10) 43(90) 161(0) 100 56.57
29 161(0) 35(80) 37(20) 161(0) 100 34.14
30 161(0) 37(40) 45(60) 161(0) 100 40.00
31 161(0) 38(10) 46(90) 161(0) 100 56.57
32 161(0) 38(80) 36(20) 161(0) 100 34.14
33 161(0) 36(40) 44(60) 161(0) 100 40.00
(cont.)
825
Table B.75 continued.
Route Load Distance
34 161(0) 40(10) 48(90) 161(0) 100 56.57
35 161(0) 40(80) 39(20) 161(0) 100 34.14
36 161(0) 39(40) 47(60) 161(0) 100 40.00
37 161(0) 49(10) 57(90) 161(0) 100 113.14
38 161(0) 49(80) 50(20) 161(0) 100 102.43
39 161(0) 50(40) 58(60) 161(0) 100 80.00
40 161(0) 51(10) 59(90) 161(0) 100 113.14
41 161(0) 51(80) 53(20) 161(0) 100 102.43
42 161(0) 53(40) 61(60) 161(0) 100 80.00
43 161(0) 54(10) 62(90) 161(0) 100 113.14
44 161(0) 54(80) 52(20) 161(0) 100 102.43
45 161(0) 52(40) 60(60) 161(0) 100 80.00
46 161(0) 56(10) 64(90) 161(0) 100 113.14
47 161(0) 56(80) 55(20) 161(0) 100 102.43
48 161(0) 55(40) 63(60) 161(0) 100 80.00
49 162(0) 65(10) 73(90) 162(0) 100 56.57
50 162(0) 65(80) 66(20) 162(0) 100 34.14
51 162(0) 66(40) 74(60) 162(0) 100 40.00
52 162(0) 67(10) 75(90) 162(0) 100 56.57
53 162(0) 67(80) 69(20) 162(0) 100 34.14
54 162(0) 69(40) 77(60) 162(0) 100 40.00
55 162(0) 70(10) 78(90) 162(0) 100 56.57
56 162(0) 70(80) 68(20) 162(0) 100 34.14
57 162(0) 68(40) 76(60) 162(0) 100 40.00
58 162(0) 72(10) 80(90) 162(0) 100 56.57
59 162(0) 72(80) 71(20) 162(0) 100 34.14
60 162(0) 71(40) 79(60) 162(0) 100 40.00
61 162(0) 81(10) 89(85) 126(5) 89(0) 162(0) 100 117.14
62 162(0) 81(80) 82(20) 162(0) 100 102.43
63 162(0) 82(40) 90(55) 127(5) 162(0) 100 84.00
64 162(0) 83(10) 91(85) 128(5) 91(0) 162(0) 100 117.14
65 162(0) 83(80) 85(20) 162(0) 100 102.43
66 162(0) 85(40) 93(60) 162(0) 100 80.00
(cont.)
826
Table B.75 continued.
Route Load Distance
67 162(0) 86(10) 94(90) 162(0) 100 113.14
68 162(0) 86(80) 84(20) 162(0) 100 102.43
69 162(0) 84(40) 92(55) 61(5) 162(0) 100 84.00
70 162(0) 88(10) 96(90) 162(0) 100 113.14
71 162(0) 88(80) 87(20) 162(0) 100 102.43
72 162(0) 87(40) 95(60) 162(0) 100 80.00
73 163(0) 97(10) 105(90) 163(0) 100 56.57
74 163(0) 97(80) 98(20) 163(0) 100 34.14
75 163(0) 98(40) 106(60) 163(0) 100 40.00
76 163(0) 99(10) 107(90) 163(0) 100 56.57
77 163(0) 99(80) 101(20) 163(0) 100 34.14
78 163(0) 101(40) 109(60) 163(0) 100 40.00
79 163(0) 102(10) 110(90) 163(0) 100 56.57
80 163(0) 102(80) 100(20) 163(0) 100 34.14
81 163(0) 100(40) 108(60) 163(0) 100 40.00
82 163(0) 104(10) 112(90) 163(0) 100 56.57
83 163(0) 104(80) 103(20) 163(0) 100 34.14
84 163(0) 103(40) 111(60) 163(0) 100 40.00
85 163(0) 113(10) 121(90) 163(0) 100 113.14
86 163(0) 113(80) 114(20) 163(0) 100 102.43
87 163(0) 114(40) 122(60) 163(0) 100 80.00
88 163(0) 115(10) 123(90) 163(0) 100 113.14
89 163(0) 115(80) 117(20) 163(0) 100 102.43
90 163(0) 117(40) 125(60) 163(0) 100 80.00
91 163(0) 118(10) 126(90) 163(0) 100 113.14
92 163(0) 118(80) 116(20) 163(0) 100 102.43
93 163(0) 116(40) 124(60) 163(0) 100 80.00
94 163(0) 120(10) 128(90) 163(0) 100 113.14
95 163(0) 120(80) 119(20) 163(0) 100 102.43
96 163(0) 119(40) 127(60) 163(0) 100 80.00
97 164(0) 129(10) 137(90) 164(0) 100 56.57
98 164(0) 129(80) 130(20) 164(0) 100 34.14
99 164(0) 130(40) 138(60) 164(0) 100 40.00
(cont.)
827
Table B.75 continued.
Route Load Distance
100 164(0) 131(10) 139(90) 164(0) 100 56.57
101 164(0) 131(80) 133(20) 164(0) 100 34.14
102 164(0) 133(40) 141(60) 164(0) 100 40.00
103 164(0) 134(10) 142(90) 164(0) 100 56.57
104 164(0) 134(80) 132(20) 164(0) 100 34.14
105 164(0) 132(40) 140(60) 164(0) 100 40.00
106 164(0) 136(10) 144(90) 164(0) 100 56.57
107 164(0) 136(80) 135(20) 164(0) 100 34.14
108 164(0) 135(40) 143(60) 164(0) 100 40.00
109 164(0) 145(10) 153(85) 62(5) 153(0) 164(0) 100 117.14
110 164(0) 145(80) 146(20) 164(0) 100 102.43
111 164(0) 146(40) 154(55) 63(5) 164(0) 100 84.00
112 164(0) 147(10) 155(85) 64(5) 155(0) 164(0) 100 117.14
113 164(0) 147(80) 149(20) 164(0) 100 102.43
114 164(0) 149(40) 157(60) 164(0) 100 80.00
115 164(0) 150(10) 158(90) 164(0) 100 113.14
116 164(0) 150(80) 148(20) 164(0) 100 102.43
117 164(0) 148(40) 156(60) 164(0) 100 80.00
118 164(0) 152(10) 160(90) 164(0) 100 113.14
119 164(0) 152(80) 151(20) 164(0) 100 102.43
120 164(0) 151(40) 159(60) 164(0) 100 80.00
Total Distance 8573.48
828
Table B.76: Estimated solution to SQ9.
Route Load Distance
1 0 33(10) 41(90) 0 100 169.71
2 0 25(20) 33(80) 0 100 141.42
3 0 17(30) 25(70) 0 100 113.14
4 0 9(40) 17(60) 0 100 84.85
5 0 1(50) 9(50) 0 100 56.57
6 0 34(40) 42(60) 0 100 120.00
7 0 18(20) 26(60) 34(20) 0 100 100.00
8 0 10(60) 18(40) 0 100 60.00
9 0 1(40) 2(60) 0 100 34.14
10 0 35(10) 43(90) 0 100 169.71
11 0 27(20) 35(80) 0 100 141.42
12 0 19(30) 27(70) 0 100 113.14
13 0 11(40) 19(60) 0 100 84.85
14 0 3(50) 11(50) 0 100 56.57
15 0 37(40) 45(60) 0 100 120.00
16 0 21(20) 29(60) 37(20) 0 100 100.00
17 0 13(60) 21(40) 0 100 60.00
18 0 3(40) 5(60) 0 100 34.14
19 0 38(10) 46(85) 89(5) 46(0) 0 100 173.71
20 0 30(20) 38(80) 0 100 141.42
21 0 22(30) 30(70) 0 100 113.14
22 0 14(40) 22(60) 0 100 84.85
23 0 6(50) 14(50) 0 100 56.57
24 0 36(40) 44(60) 0 100 120.00
25 0 20(20) 28(60) 36(20) 0 100 100.00
26 0 12(60) 20(40) 0 100 60.00
27 0 6(40) 4(60) 0 100 34.14
28 0 40(10) 48(85) 91(5) 48(0) 0 100 173.71
29 0 32(20) 40(80) 0 100 141.42
30 0 24(30) 32(70) 0 100 113.14
31 0 16(40) 24(60) 0 100 84.85
32 0 8(50) 16(50) 0 100 56.57
33 0 39(40) 47(55) 90(5) 0 100 124.00
(cont.)
829
Table B.76 continued.
Route Load Distance
34 0 23(20) 31(60) 39(20) 0 100 100.00
35 0 15(60) 23(40) 0 100 60.00
36 0 8(40) 7(60) 0 100 34.14
37 97(0) 81(10) 89(90) 97(0) 100 169.71
38 97(0) 73(20) 81(80) 97(0) 100 141.42
39 97(0) 65(30) 73(70) 97(0) 100 113.14
40 97(0) 57(40) 65(60) 97(0) 100 84.85
41 97(0) 49(50) 57(50) 97(0) 100 56.57
42 97(0) 82(40) 90(60) 97(0) 100 120.00
43 97(0) 66(20) 74(60) 82(20) 97(0) 100 100.00
44 97(0) 58(60) 66(40) 97(0) 100 60.00
45 97(0) 49(40) 50(60) 97(0) 100 34.14
46 97(0) 83(10) 91(90) 97(0) 100 169.71
47 97(0) 75(20) 83(80) 97(0) 100 141.42
48 97(0) 67(30) 75(70) 97(0) 100 113.14
49 97(0) 59(40) 67(60) 97(0) 100 84.85
50 97(0) 51(50) 59(50) 97(0) 100 56.57
51 97(0) 85(40) 93(60) 97(0) 100 120.00
52 97(0) 69(20) 77(60) 85(20) 97(0) 100 100.00
53 97(0) 61(60) 69(40) 97(0) 100 60.00
54 97(0) 51(40) 53(60) 97(0) 100 34.14
55 97(0) 86(10) 94(90) 97(0) 100 169.71
56 97(0) 78(20) 86(80) 97(0) 100 141.42
57 97(0) 70(30) 78(70) 97(0) 100 113.14
58 97(0) 62(40) 70(60) 97(0) 100 84.85
59 97(0) 54(50) 62(50) 97(0) 100 56.57
60 97(0) 84(40) 92(60) 97(0) 100 120.00
61 97(0) 68(20) 76(60) 84(20) 97(0) 100 100.00
62 97(0) 60(60) 68(40) 97(0) 100 60.00
63 97(0) 54(40) 52(60) 97(0) 100 34.14
64 97(0) 88(10) 96(90) 97(0) 100 169.71
65 97(0) 80(20) 88(80) 97(0) 100 141.42
66 97(0) 72(30) 80(70) 97(0) 100 113.14
(cont.)
830
Table B.76 continued.
Route Load Distance
67 97(0) 64(40) 72(60) 97(0) 100 84.85
68 97(0) 56(50) 64(50) 97(0) 100 56.57
69 97(0) 87(40) 95(60) 97(0) 100 120.00
70 97(0) 71(20) 79(60) 87(20) 97(0) 100 100.00
71 97(0) 63(60) 71(40) 97(0) 100 60.00
72 97(0) 56(40) 55(60) 97(0) 100 34.14
Total Distance 7050.62
831
Table B.77: Estimated solution to SQ10.
Route Load Distance
1 0 33(10) 41(90) 0 100 169.71
2 0 25(20) 33(80) 0 100 141.42
3 0 17(30) 25(70) 0 100 113.14
4 0 9(40) 17(60) 0 100 84.85
5 0 1(50) 9(50) 0 100 56.57
6 0 34(40) 42(60) 0 100 120.00
7 0 18(20) 26(60) 34(20) 0 100 100.00
8 0 10(60) 18(40) 0 100 60.00
9 0 1(40) 2(60) 0 100 34.14
10 0 35(10) 43(90) 0 100 169.71
11 0 27(20) 35(80) 0 100 141.42
12 0 19(30) 27(70) 0 100 113.14
13 0 11(40) 19(60) 0 100 84.85
14 0 3(50) 11(50) 0 100 56.57
15 0 37(40) 45(60) 0 100 120.00
16 0 21(20) 29(60) 37(20) 0 100 100.00
17 0 13(60) 21(40) 0 100 60.00
18 0 3(40) 5(60) 0 100 34.14
19 0 38(10) 46(85) 89(5) 46(0) 0 100 173.71
20 0 30(20) 38(80) 0 100 141.42
21 0 22(30) 30(70) 0 100 113.14
22 0 14(40) 22(60) 0 100 84.85
23 0 6(50) 14(50) 0 100 56.57
24 0 36(40) 44(60) 0 100 120.00
25 0 20(20) 28(60) 36(20) 0 100 100.00
26 0 12(60) 20(40) 0 100 60.00
27 0 6(40) 4(60) 0 100 34.14
28 0 40(10) 48(85) 91(5) 48(0) 0 100 173.71
29 0 32(20) 40(80) 0 100 141.42
30 0 24(30) 32(70) 0 100 113.14
31 0 16(40) 24(60) 0 100 84.85
32 0 8(50) 16(50) 0 100 56.57
33 0 39(40) 47(55) 90(5) 0 100 124.00
(cont.)
832
Table B.77 continued.
Route Load Distance
34 0 23(20) 31(60) 39(20) 0 100 100.00
35 0 15(60) 23(40) 0 100 60.00
36 0 8(40) 7(60) 0 100 34.14
37 145(0) 81(10) 89(90) 145(0) 100 169.71
38 145(0) 73(20) 81(80) 145(0) 100 141.42
39 145(0) 65(30) 73(70) 145(0) 100 113.14
40 145(0) 57(40) 65(60) 145(0) 100 84.85
41 145(0) 49(50) 57(50) 145(0) 100 56.57
42 145(0) 82(40) 90(60) 145(0) 100 120.00
43 145(0) 66(20) 74(60) 82(20) 145(0) 100 100.00
44 145(0) 58(60) 66(40) 145(0) 100 60.00
45 145(0) 49(40) 50(60) 145(0) 100 34.14
46 145(0) 83(10) 91(90) 145(0) 100 169.71
47 145(0) 75(20) 83(80) 145(0) 100 141.42
48 145(0) 67(30) 75(70) 145(0) 100 113.14
49 145(0) 59(40) 67(60) 145(0) 100 84.85
50 145(0) 51(50) 59(50) 145(0) 100 56.57
51 145(0) 85(40) 93(60) 145(0) 100 120.00
52 145(0) 69(20) 77(60) 85(20) 145(0) 100 100.00
53 145(0) 61(60) 69(40) 145(0) 100 60.00
54 145(0) 51(40) 53(60) 145(0) 100 34.14
55 145(0) 86(10) 94(90) 145(0) 100 169.71
56 145(0) 78(20) 86(80) 145(0) 100 141.42
57 145(0) 70(30) 78(70) 145(0) 100 113.14
58 145(0) 62(40) 70(60) 145(0) 100 84.85
59 145(0) 54(50) 62(50) 145(0) 100 56.57
60 145(0) 84(40) 92(60) 145(0) 100 120.00
61 145(0) 68(20) 76(60) 84(20) 145(0) 100 100.00
62 145(0) 60(60) 68(40) 145(0) 100 60.00
63 145(0) 54(40) 52(60) 145(0) 100 34.14
64 145(0) 88(10) 96(90) 145(0) 100 169.71
65 145(0) 80(20) 88(80) 145(0) 100 141.42
66 145(0) 72(30) 80(70) 145(0) 100 113.14
(cont.)
833
Table B.77 continued.
Route Load Distance
67 145(0) 64(40) 72(60) 145(0) 100 84.85
68 145(0) 56(50) 64(50) 145(0) 100 56.57
69 145(0) 87(40) 95(60) 145(0) 100 120.00
70 145(0) 71(20) 79(60) 87(20) 145(0) 100 100.00
71 145(0) 63(60) 71(40) 145(0) 100 60.00
72 145(0) 56(40) 55(60) 145(0) 100 34.14
73 146(0) 129(10) 137(90) 146(0) 100 169.71
74 146(0) 121(20) 129(80) 146(0) 100 141.42
75 146(0) 113(30) 121(70) 146(0) 100 113.14
76 146(0) 105(40) 113(60) 146(0) 100 84.85
77 146(0) 97(50) 105(50) 146(0) 100 56.57
78 146(0) 130(40) 138(60) 146(0) 100 120.00
79 146(0) 114(20) 122(60) 130(20) 146(0) 100 100.00
80 146(0) 106(60) 114(40) 146(0) 100 60.00
81 146(0) 97(40) 98(60) 146(0) 100 34.14
82 146(0) 131(10) 139(90) 146(0) 100 169.71
83 146(0) 123(20) 131(80) 146(0) 100 141.42
84 146(0) 115(30) 123(70) 146(0) 100 113.14
85 146(0) 107(40) 115(60) 146(0) 100 84.85
86 146(0) 99(50) 107(50) 146(0) 100 56.57
87 146(0) 133(40) 141(60) 146(0) 100 120.00
88 146(0) 117(20) 125(60) 133(20) 146(0) 100 100.00
89 146(0) 109(60) 117(40) 146(0) 100 60.00
90 146(0) 99(40) 101(60) 146(0) 100 34.14
91 146(0) 134(10) 142(85) 96(5) 142(0) 146(0) 100 173.71
92 146(0) 126(20) 134(80) 146(0) 100 141.42
93 146(0) 118(30) 126(70) 146(0) 100 113.14
94 146(0) 110(40) 118(60) 146(0) 100 84.85
95 146(0) 102(50) 110(50) 146(0) 100 56.57
96 146(0) 132(40) 140(55) 93(5) 146(0) 100 124.00
97 146(0) 116(20) 124(60) 132(20) 146(0) 100 100.00
98 146(0) 108(60) 116(40) 146(0) 100 60.00
99 146(0) 102(40) 100(60) 146(0) 100 34.14
(cont.)
834
Table B.77 continued.
Route Load Distance
100 146(0) 136(10) 144(90) 146(0) 100 169.71
101 146(0) 128(20) 136(80) 146(0) 100 141.42
102 146(0) 120(30) 128(70) 146(0) 100 113.14
103 146(0) 112(40) 120(60) 146(0) 100 84.85
104 146(0) 104(50) 112(50) 146(0) 100 56.57
105 146(0) 135(40) 143(60) 146(0) 100 120.00
106 146(0) 119(20) 127(60) 135(20) 146(0) 100 100.00
107 146(0) 111(60) 119(40) 146(0) 100 60.00
108 146(0) 104(40) 103(60) 146(0) 100 34.14
Total Distance 10577.93
835
Table B.78: Estimated solution to SQ11.
Route Load Distance
1 0 33(10) 41(90) 0 100 169.71
2 0 25(20) 33(80) 0 100 141.42
3 0 17(30) 25(70) 0 100 113.14
4 0 9(40) 17(60) 0 100 84.85
5 0 1(50) 9(50) 0 100 56.57
6 0 34(40) 42(60) 0 100 120.00
7 0 18(20) 26(60) 34(20) 0 100 100.00
8 0 10(60) 18(40) 0 100 60.00
9 0 1(40) 2(60) 0 100 34.14
10 0 35(10) 43(85) 185(5) 43(0) 0 100 173.71
11 0 27(20) 35(80) 0 100 141.42
12 0 19(30) 27(70) 0 100 113.14
13 0 11(40) 19(60) 0 100 84.85
14 0 3(50) 11(50) 0 100 56.57
15 0 37(40) 45(55) 188(5) 0 100 124.00
16 0 21(20) 29(60) 37(20) 0 100 100.00
17 0 13(60) 21(40) 0 100 60.00
18 0 3(40) 5(60) 0 100 34.14
19 0 38(10) 46(85) 89(5) 46(0) 0 100 173.71
20 0 30(20) 38(80) 0 100 141.42
21 0 22(30) 30(70) 0 100 113.14
22 0 14(40) 22(60) 0 100 84.85
23 0 6(50) 14(50) 0 100 56.57
24 0 36(40) 44(60) 0 100 120.00
25 0 20(20) 28(60) 36(20) 0 100 100.00
26 0 12(60) 20(40) 0 100 60.00
27 0 6(40) 4(60) 0 100 34.14
28 0 40(10) 48(85) 91(5) 48(0) 0 100 173.71
29 0 32(20) 40(80) 0 100 141.42
30 0 24(30) 32(70) 0 100 113.14
31 0 16(40) 24(60) 0 100 84.85
32 0 8(50) 16(50) 0 100 56.57
33 0 39(40) 47(55) 90(5) 0 100 124.00
(cont.)
836
Table B.78 continued.
Route Load Distance
34 0 23(20) 31(60) 39(20) 0 100 100.00
35 0 15(60) 23(40) 0 100 60.00
36 0 8(40) 7(60) 0 100 34.14
37 193(0) 81(10) 89(90) 193(0) 100 169.71
38 193(0) 73(20) 81(80) 193(0) 100 141.42
39 193(0) 65(30) 73(70) 193(0) 100 113.14
40 193(0) 57(40) 65(60) 193(0) 100 84.85
41 193(0) 49(50) 57(50) 193(0) 100 56.57
42 193(0) 82(40) 90(60) 193(0) 100 120.00
43 193(0) 66(20) 74(60) 82(20) 193(0) 100 100.00
44 193(0) 58(60) 66(40) 193(0) 100 60.00
45 193(0) 49(40) 50(60) 193(0) 100 34.14
46 193(0) 83(10) 91(90) 193(0) 100 169.71
47 193(0) 75(20) 83(80) 193(0) 100 141.42
48 193(0) 67(30) 75(70) 193(0) 100 113.14
49 193(0) 59(40) 67(60) 193(0) 100 84.85
50 193(0) 51(50) 59(50) 193(0) 100 56.57
51 193(0) 85(40) 93(60) 193(0) 100 120.00
52 193(0) 69(20) 77(60) 85(20) 193(0) 100 100.00
53 193(0) 61(60) 69(40) 193(0) 100 60.00
54 193(0) 51(40) 53(60) 193(0) 100 34.14
55 193(0) 86(10) 94(90) 193(0) 100 169.71
56 193(0) 78(20) 86(80) 193(0) 100 141.42
57 193(0) 70(30) 78(70) 193(0) 100 113.14
58 193(0) 62(40) 70(60) 193(0) 100 84.85
59 193(0) 54(50) 62(50) 193(0) 100 56.57
60 193(0) 84(40) 92(60) 193(0) 100 120.00
61 193(0) 68(20) 76(60) 84(20) 193(0) 100 100.00
62 193(0) 60(60) 68(40) 193(0) 100 60.00
63 193(0) 54(40) 52(60) 193(0) 100 34.14
64 193(0) 88(10) 96(90) 193(0) 100 169.71
65 193(0) 80(20) 88(80) 193(0) 100 141.42
66 193(0) 72(30) 80(70) 193(0) 100 113.14
(cont.)
837
Table B.78 continued.
Route Load Distance
67 193(0) 64(40) 72(60) 193(0) 100 84.85
68 193(0) 56(50) 64(50) 193(0) 100 56.57
69 193(0) 87(40) 95(60) 193(0) 100 120.00
70 193(0) 71(20) 79(60) 87(20) 193(0) 100 100.00
71 193(0) 63(60) 71(40) 193(0) 100 60.00
72 193(0) 56(40) 55(60) 193(0) 100 34.14
73 194(0) 129(10) 137(85) 190(5) 137(0) 194(0) 100 173.71
74 194(0) 121(20) 129(80) 194(0) 100 141.42
75 194(0) 113(30) 121(70) 194(0) 100 113.14
76 194(0) 105(40) 113(60) 194(0) 100 84.85
77 194(0) 97(50) 105(50) 194(0) 100 56.57
78 194(0) 130(40) 138(55) 191(5) 194(0) 100 124.00
79 194(0) 114(20) 122(60) 130(20) 194(0) 100 100.00
80 194(0) 106(60) 114(40) 194(0) 100 60.00
81 194(0) 97(40) 98(60) 194(0) 100 34.14
82 194(0) 131(10) 139(85) 192(5) 139(0) 194(0) 100 173.71
83 194(0) 123(20) 131(80) 194(0) 100 141.42
84 194(0) 115(30) 123(70) 194(0) 100 113.14
85 194(0) 107(40) 115(60) 194(0) 100 84.85
86 194(0) 99(50) 107(50) 194(0) 100 56.57
87 194(0) 133(40) 141(60) 194(0) 100 120.00
88 194(0) 117(20) 125(60) 133(20) 194(0) 100 100.00
89 194(0) 109(60) 117(40) 194(0) 100 60.00
90 194(0) 99(40) 101(60) 194(0) 100 34.14
91 194(0) 134(10) 142(85) 96(5) 142(0) 194(0) 100 173.71
92 194(0) 126(20) 134(80) 194(0) 100 141.42
93 194(0) 118(30) 126(70) 194(0) 100 113.14
94 194(0) 110(40) 118(60) 194(0) 100 84.85
95 194(0) 102(50) 110(50) 194(0) 100 56.57
96 194(0) 132(40) 140(55) 93(5) 194(0) 100 124.00
97 194(0) 116(20) 124(60) 132(20) 194(0) 100 100.00
98 194(0) 108(60) 116(40) 194(0) 100 60.00
99 194(0) 102(40) 100(60) 194(0) 100 34.14
(cont.)
838
Table B.78 continued.
Route Load Distance
100 194(0) 136(10) 144(90) 194(0) 100 169.71
101 194(0) 128(20) 136(80) 194(0) 100 141.42
102 194(0) 120(30) 128(70) 194(0) 100 113.14
103 194(0) 112(40) 120(60) 194(0) 100 84.85
104 194(0) 104(50) 112(50) 194(0) 100 56.57
105 194(0) 135(40) 143(60) 194(0) 100 120.00
106 194(0) 119(20) 127(60) 135(20) 194(0) 100 100.00
107 194(0) 111(60) 119(40) 194(0) 100 60.00
108 194(0) 104(40) 103(60) 194(0) 100 34.14
109 195(0) 177(10) 185(90) 195(0) 100 169.71
110 195(0) 169(20) 177(80) 195(0) 100 141.42
111 195(0) 161(30) 169(70) 195(0) 100 113.14
112 195(0) 153(40) 161(60) 195(0) 100 84.85
113 195(0) 145(50) 153(50) 195(0) 100 56.57
114 195(0) 178(40) 186(60) 195(0) 100 120.00
115 195(0) 162(20) 170(60) 178(20) 195(0) 100 100.00
116 195(0) 154(60) 162(40) 195(0) 100 60.00
117 195(0) 145(40) 146(60) 195(0) 100 34.14
118 195(0) 179(10) 187(90) 195(0) 100 169.71
119 195(0) 171(20) 179(80) 195(0) 100 141.42
120 195(0) 163(30) 171(70) 195(0) 100 113.14
121 195(0) 155(40) 163(60) 195(0) 100 84.85
122 195(0) 147(50) 155(50) 195(0) 100 56.57
123 195(0) 181(40) 189(60) 195(0) 100 120.00
124 195(0) 165(20) 173(60) 181(20) 195(0) 100 100.00
125 195(0) 157(60) 165(40) 195(0) 100 60.00
126 195(0) 147(40) 149(60) 195(0) 100 34.14
127 195(0) 182(10) 190(90) 195(0) 100 169.71
128 195(0) 174(20) 182(80) 195(0) 100 141.42
129 195(0) 166(30) 174(70) 195(0) 100 113.14
130 195(0) 158(40) 166(60) 195(0) 100 84.85
131 195(0) 150(50) 158(50) 195(0) 100 56.57
132 195(0) 180(40) 188(60) 195(0) 100 120.00
(cont.)
839
Table B.78 continued.
Route Load Distance
133 195(0) 164(20) 172(60) 180(20) 195(0) 100 100.00
134 195(0) 156(60) 164(40) 195(0) 100 60.00
135 195(0) 150(40) 148(60) 195(0) 100 34.14
136 195(0) 184(10) 192(90) 195(0) 100 169.71
137 195(0) 176(20) 184(80) 195(0) 100 141.42
138 195(0) 168(30) 176(70) 195(0) 100 113.14
139 195(0) 160(40) 168(60) 195(0) 100 84.85
140 195(0) 152(50) 160(50) 195(0) 100 56.57
141 195(0) 183(40) 191(60) 195(0) 100 120.00
142 195(0) 167(20) 175(60) 183(20) 195(0) 100 100.00
143 195(0) 159(60) 167(40) 195(0) 100 60.00
144 195(0) 152(40) 151(60) 195(0) 100 34.14
Total Distance 14117.24
840
Table B.79: Estimated solution to SQ12.
Route Load Distance
1 0 33(10) 41(90) 0 100 169.71
2 0 25(20) 33(80) 0 100 141.42
3 0 17(30) 25(70) 0 100 113.14
4 0 9(40) 17(60) 0 100 84.85
5 0 1(50) 9(50) 0 100 56.57
6 0 34(40) 42(60) 0 100 120.00
7 0 18(20) 26(60) 34(20) 0 100 100.00
8 0 10(60) 18(40) 0 100 60.00
9 0 1(40) 2(60) 0 100 34.14
10 0 35(10) 43(85) 185(5) 43(0) 0 100 173.71
11 0 27(20) 35(80) 0 100 141.42
12 0 19(30) 27(70) 0 100 113.14
13 0 11(40) 19(60) 0 100 84.85
14 0 3(50) 11(50) 0 100 56.57
15 0 37(40) 45(55) 188(5) 0 100 124.00
16 0 21(20) 29(60) 37(20) 0 100 100.00
17 0 13(60) 21(40) 0 100 60.00
18 0 3(40) 5(60) 0 100 34.14
19 0 38(10) 46(85) 89(5) 46(0) 0 100 173.71
20 0 30(20) 38(80) 0 100 141.42
21 0 22(30) 30(70) 0 100 113.14
22 0 14(40) 22(60) 0 100 84.85
23 0 6(50) 14(50) 0 100 56.57
24 0 36(40) 44(60) 0 100 120.00
25 0 20(20) 28(60) 36(20) 0 100 100.00
26 0 12(60) 20(40) 0 100 60.00
27 0 6(40) 4(60) 0 100 34.14
28 0 40(10) 48(85) 91(5) 48(0) 0 100 173.71
29 0 32(20) 40(80) 0 100 141.42
30 0 24(30) 32(70) 0 100 113.14
31 0 16(40) 24(60) 0 100 84.85
32 0 8(50) 16(50) 0 100 56.57
33 0 39(40) 47(55) 90(5) 0 100 124.00
(cont.)
841
Table B.79 continued.
Route Load Distance
34 0 23(20) 31(60) 39(20) 0 100 100.00
35 0 15(60) 23(40) 0 100 60.00
36 0 8(40) 7(60) 0 100 34.14
37 241(0) 81(10) 89(90) 241(0) 100 169.71
38 241(0) 73(20) 81(80) 241(0) 100 141.42
39 241(0) 65(30) 73(70) 241(0) 100 113.14
40 241(0) 57(40) 65(60) 241(0) 100 84.85
41 241(0) 49(50) 57(50) 241(0) 100 56.57
42 241(0) 82(40) 90(60) 241(0) 100 120.00
43 241(0) 66(20) 74(60) 82(20) 241(0) 100 100.00
44 241(0) 58(60) 66(40) 241(0) 100 60.00
45 241(0) 49(40) 50(60) 241(0) 100 34.14
46 241(0) 83(10) 91(90) 241(0) 100 169.71
47 241(0) 75(20) 83(80) 241(0) 100 141.42
48 241(0) 67(30) 75(70) 241(0) 100 113.14
49 241(0) 59(40) 67(60) 241(0) 100 84.85
50 241(0) 51(50) 59(50) 241(0) 100 56.57
51 241(0) 85(40) 93(60) 241(0) 100 120.00
52 241(0) 69(20) 77(60) 85(20) 241(0) 100 100.00
53 241(0) 61(60) 69(40) 241(0) 100 60.00
54 241(0) 51(40) 53(60) 241(0) 100 34.14
55 241(0) 86(10) 94(90) 241(0) 100 169.71
56 241(0) 78(20) 86(80) 241(0) 100 141.42
57 241(0) 70(30) 78(70) 241(0) 100 113.14
58 241(0) 62(40) 70(60) 241(0) 100 84.85
59 241(0) 54(50) 62(50) 241(0) 100 56.57
60 241(0) 84(40) 92(60) 241(0) 100 120.00
61 241(0) 68(20) 76(60) 84(20) 241(0) 100 100.00
62 241(0) 60(60) 68(40) 241(0) 100 60.00
63 241(0) 54(40) 52(60) 241(0) 100 34.14
64 241(0) 88(10) 96(90) 241(0) 100 169.71
65 241(0) 80(20) 88(80) 241(0) 100 141.42
66 241(0) 72(30) 80(70) 241(0) 100 113.14
(cont.)
842
Table B.79 continued.
Route Load Distance
67 241(0) 64(40) 72(60) 241(0) 100 84.85
68 241(0) 56(50) 64(50) 241(0) 100 56.57
69 241(0) 87(40) 95(60) 241(0) 100 120.00
70 241(0) 71(20) 79(60) 87(20) 241(0) 100 100.00
71 241(0) 63(60) 71(40) 241(0) 100 60.00
72 241(0) 56(40) 55(60) 241(0) 100 34.14
73 242(0) 129(10) 137(85) 190(5) 137(0) 242(0) 100 173.71
74 242(0) 121(20) 129(80) 242(0) 100 141.42
75 242(0) 113(30) 121(70) 242(0) 100 113.14
76 242(0) 105(40) 113(60) 242(0) 100 84.85
77 242(0) 97(50) 105(50) 242(0) 100 56.57
78 242(0) 130(40) 138(55) 191(5) 242(0) 100 124.00
79 242(0) 114(20) 122(60) 130(20) 242(0) 100 100.00
80 242(0) 106(60) 114(40) 242(0) 100 60.00
81 242(0) 97(40) 98(60) 242(0) 100 34.14
82 242(0) 131(10) 139(85) 192(5) 139(0) 242(0) 100 173.71
83 242(0) 123(20) 131(80) 242(0) 100 141.42
84 242(0) 115(30) 123(70) 242(0) 100 113.14
85 242(0) 107(40) 115(60) 242(0) 100 84.85
86 242(0) 99(50) 107(50) 242(0) 100 56.57
87 242(0) 133(40) 141(60) 242(0) 100 120.00
88 242(0) 117(20) 125(60) 133(20) 242(0) 100 100.00
89 242(0) 109(60) 117(40) 242(0) 100 60.00
90 242(0) 99(40) 101(60) 242(0) 100 34.14
91 242(0) 134(10) 142(90) 242(0) 100 169.71
92 242(0) 126(20) 134(80) 242(0) 100 141.42
93 242(0) 118(30) 126(70) 242(0) 100 113.14
94 242(0) 110(40) 118(60) 242(0) 100 84.85
95 242(0) 102(50) 110(50) 242(0) 100 56.57
96 242(0) 132(40) 140(55) 93(5) 242(0) 100 124.00
97 242(0) 116(20) 124(60) 132(20) 242(0) 100 100.00
98 242(0) 108(60) 116(40) 242(0) 100 60.00
99 242(0) 102(40) 100(60) 242(0) 100 34.14
(cont.)
843
Table B.79 continued.
Route Load Distance
100 242(0) 136(10) 144(90) 242(0) 100 169.71
101 242(0) 128(20) 136(80) 242(0) 100 141.42
102 242(0) 120(30) 128(70) 242(0) 100 113.14
103 242(0) 112(40) 120(60) 242(0) 100 84.85
104 242(0) 104(50) 112(50) 242(0) 100 56.57
105 242(0) 135(40) 143(60) 242(0) 100 120.00
106 242(0) 119(20) 127(60) 135(20) 242(0) 100 100.00
107 242(0) 111(60) 119(40) 242(0) 100 60.00
108 242(0) 104(40) 103(60) 242(0) 100 34.14
109 243(0) 177(10) 185(90) 243(0) 100 169.71
110 243(0) 169(20) 177(80) 243(0) 100 141.42
111 243(0) 161(30) 169(70) 243(0) 100 113.14
112 243(0) 153(40) 161(60) 243(0) 100 84.85
113 243(0) 145(50) 153(50) 243(0) 100 56.57
114 243(0) 178(40) 186(60) 243(0) 100 120.00
115 243(0) 162(20) 170(60) 178(20) 243(0) 100 100.00
116 243(0) 154(60) 162(40) 243(0) 100 60.00
117 243(0) 145(40) 146(60) 243(0) 100 34.14
118 243(0) 179(10) 187(90) 243(0) 100 169.71
119 243(0) 171(20) 179(80) 243(0) 100 141.42
120 243(0) 163(30) 171(70) 243(0) 100 113.14
121 243(0) 155(40) 163(60) 243(0) 100 84.85
122 243(0) 147(50) 155(50) 243(0) 100 56.57
123 243(0) 181(40) 189(60) 243(0) 100 120.00
124 243(0) 165(20) 173(60) 181(20) 243(0) 100 100.00
125 243(0) 157(60) 165(40) 243(0) 100 60.00
126 243(0) 147(40) 149(60) 243(0) 100 34.14
127 243(0) 182(10) 190(90) 243(0) 100 169.71
128 243(0) 174(20) 182(80) 243(0) 100 141.42
129 243(0) 166(30) 174(70) 243(0) 100 113.14
130 243(0) 158(40) 166(60) 243(0) 100 84.85
131 243(0) 150(50) 158(50) 243(0) 100 56.57
132 243(0) 180(40) 188(60) 243(0) 100 120.00
(cont.)
844
Table B.79 continued.
Route Load Distance
133 243(0) 164(20) 172(60) 180(20) 243(0) 100 100.00
134 243(0) 156(60) 164(40) 243(0) 100 60.00
135 243(0) 150(40) 148(60) 243(0) 100 34.14
136 243(0) 184(10) 192(90) 243(0) 100 169.71
137 243(0) 176(20) 184(80) 243(0) 100 141.42
138 243(0) 168(30) 176(70) 243(0) 100 113.14
139 243(0) 160(40) 168(60) 243(0) 100 84.85
140 243(0) 152(50) 160(50) 243(0) 100 56.57
141 243(0) 183(40) 191(60) 243(0) 100 120.00
142 243(0) 167(20) 175(60) 183(20) 243(0) 100 100.00
143 243(0) 159(60) 167(40) 243(0) 100 60.00
144 243(0) 152(40) 151(60) 243(0) 100 34.14
145 244(0) 225(10) 233(85) 94(5) 233(0) 244(0) 100 173.71
146 244(0) 217(20) 225(80) 244(0) 100 141.42
147 244(0) 209(30) 217(70) 244(0) 100 113.14
148 244(0) 201(40) 209(60) 244(0) 100 84.85
149 244(0) 193(50) 201(50) 244(0) 100 56.57
150 244(0) 226(40) 234(55) 95(5) 244(0) 100 124.00
151 244(0) 210(20) 218(60) 226(20) 244(0) 100 100.00
152 244(0) 202(60) 210(40) 244(0) 100 60.00
153 244(0) 193(40) 194(60) 244(0) 100 34.14
154 244(0) 227(10) 235(85) 96(5) 235(0) 244(0) 100 173.71
155 244(0) 219(20) 227(80) 244(0) 100 141.42
156 244(0) 211(30) 219(70) 244(0) 100 113.14
157 244(0) 203(40) 211(60) 244(0) 100 84.85
158 244(0) 195(50) 203(50) 244(0) 100 56.57
159 244(0) 229(40) 237(60) 244(0) 100 120.00
160 244(0) 213(20) 221(60) 229(20) 244(0) 100 100.00
161 244(0) 205(60) 213(40) 244(0) 100 60.00
162 244(0) 195(40) 197(60) 244(0) 100 34.14
163 244(0) 230(10) 238(90) 244(0) 100 169.71
164 244(0) 222(20) 230(80) 244(0) 100 141.42
165 244(0) 214(30) 222(70) 244(0) 100 113.14
(cont.)
845
Table B.79 continued.
Route Load Distance
166 244(0) 206(40) 214(60) 244(0) 100 84.85
167 244(0) 198(50) 206(50) 244(0) 100 56.57
168 244(0) 228(40) 236(60) 244(0) 100 120.00
169 244(0) 212(20) 220(60) 228(20) 244(0) 100 100.00
170 244(0) 204(60) 212(40) 244(0) 100 60.00
171 244(0) 198(40) 196(60) 244(0) 100 34.14
172 244(0) 232(10) 240(90) 244(0) 100 169.71
173 244(0) 224(20) 232(80) 244(0) 100 141.42
174 244(0) 216(30) 224(70) 244(0) 100 113.14
175 244(0) 208(40) 216(60) 244(0) 100 84.85
176 244(0) 200(50) 208(50) 244(0) 100 56.57
177 244(0) 231(40) 239(60) 244(0) 100 120.00
178 244(0) 215(20) 223(60) 231(20) 244(0) 100 100.00
179 244(0) 207(60) 215(40) 244(0) 100 60.00
180 244(0) 200(40) 199(60) 244(0) 100 34.14
Total Distance 17644.55
846
?20 ?10 0 10 20 30 40 50 60?25
?20
?15
?10
?5
0
5
10
15
20
25
Figure B.1: IDH solution to SQ1.
?20 ?10 0 10 20 30 40 50 60?25
?20
?15
?10
?5
0
5
10
15
20
25
Figure B.2: Estimated solution to SQ1.
847
?20 ?10 0 10 20 30 40 50 60
?20
?10
0
10
20
30
40
50
60
Figure B.3: IDH solution to SQ2.
?20 ?10 0 10 20 30 40 50 60
?20
?10
0
10
20
30
40
50
60
Figure B.4: Estimated solution to SQ2.
848
?20 ?10 0 10 20 30 40 50 60
?20
?10
0
10
20
30
40
50
60
Figure B.5: IDH solution to SQ3.
?20 ?10 0 10 20 30 40 50 60
?20
?10
0
10
20
30
40
50
60
Figure B.6: Estimated solution to SQ3.
849
?20 0 20 40 60 80 100 120
?20
?10
0
10
20
30
40
50
60
Figure B.7: IDH solution to SQ4.
?20 0 20 40 60 80 100 120
?20
?10
0
10
20
30
40
50
60
Figure B.8: Estimated solution to SQ4.
850
?40 ?20 0 20 40 60 80 100 120
?40
?30
?20
?10
0
10
20
30
40
Figure B.9: IDH solution to SQ5.
?40 ?20 0 20 40 60 80 100 120
?40
?30
?20
?10
0
10
20
30
40
Figure B.10: Estimated solution to SQ5.
851
?40 ?20 0 20 40 60 80 100 120
?40
?20
0
20
40
60
80
100
120
Figure B.11: IDH solution to SQ6.
?40 ?20 0 20 40 60 80 100 120
?40
?20
0
20
40
60
80
100
120
Figure B.12: Estimated solution to SQ6.
852
?40 ?20 0 20 40 60 80 100 120
?40
?20
0
20
40
60
80
100
120
Figure B.13: IDH solution to SQ7.
?40 ?20 0 20 40 60 80 100 120
?40
?20
0
20
40
60
80
100
120
Figure B.14: Estimated solution to SQ7.
853
0 50 100 150 200
?40
?20
0
20
40
60
80
100
120
Figure B.15: IDH solution to SQ8.
0 50 100 150 200
?40
?20
0
20
40
60
80
100
120
Figure B.16: Estimated solution to SQ8.
854
?50 0 50 100 150
?60
?40
?20
0
20
40
60
Figure B.17: IDH solution to SQ9.
?50 0 50 100 150
?60
?40
?20
0
20
40
60
Figure B.18: Estimated solution to SQ9.
855
?50 0 50 100 150
?50
0
50
100
150
Figure B.19: IDH solution to SQ10.
?50 0 50 100 150
?50
0
50
100
150
Figure B.20: Estimated solution to SQ10.
856
?50 0 50 100 150
?50
0
50
100
150
Figure B.21: IDH solution to SQ11.
?50 0 50 100 150
?50
0
50
100
150
Figure B.22: Estimated solution to SQ11.
857
?50 0 50 100 150 200 250 300
?50
0
50
100
150
Figure B.23: IDH solution to SQ12.
?50 0 50 100 150 200 250 300
?50
0
50
100
150
Figure B.24: Estimated solution to SQ12.
858
Appendix C
PVRP: Problems and Solutions
Table C.1: Symbol key.
N Number of customers in a problem
P Number of days in the time period
K Number of vehicles
Q Vehicle capacity
No. Customer or route number
x x-coordinate of a node?s location
y y-coordinate of a node?s location
q Customer demand
f Customer frequency
W Maximum number of customer reassignments
Note: node 0 is the depot.
Table C.2: Dimensions for 13 PVRPs.
Problem N P K Q Allowable Patterns
P1 50 2 3 160 1,2
P2 50 5 3 160 1,2,3,4,5,11,12,13,28
P3 50 5 1 160 1,2,3,4,5
P4 75 2 5 140 1,2
P5 75 5 6 140 1,2,3,4,5,11,12,13,28
P6 75 10 1 140 1,2,3,4,5,6,7,8,9,10
P7 100 2 4 200 1,2
P8 100 5 5 200 1,2,3,4,5,11,12,13,28
P9 100 8 1 200 1,2,3,4,5,6,7,8
P10 100 5 4 200 1,2,3,4,5,11,12,13,17,18,19
P11 131 5 4 235 1,2,3,4,5,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28
P12 163 5 3 140 1,2,3,4,5,11,12,13,17,18,19
P13 417 7 9 2000 1,2,3,4,5,6,7,29,30,31,32,33,34,35
(cont.)
859
Table C.2 continued.
Day
Pattern 1 2 3 4 5 6 7 8 9 10
1 ?
2 ?
3 ?
4 ?
5 ?
6 ?
7 ?
8 ?
9 ?
10 ?
11 ? ?
12 ? ?
13 ? ?
14 ? ?
15 ? ?
16 ? ?
17 ? ? ?
18 ? ? ?
19 ? ? ?
20 ? ? ?
21 ? ? ?
22 ? ? ?
23 ? ? ? ?
24 ? ? ? ?
25 ? ? ? ?
26 ? ? ? ?
27 ? ? ? ?
28 ? ? ? ? ?
29 ? ?
30 ? ?
31 ? ?
32 ? ?
33 ? ?
34 ? ?
35 ? ?
860
Table C.3: Dimensions for 19 PVRPs.
Problem N P K Q Allowable Patterns
P14 20 4 2 20 1,2,3,4,7,8,12
P15 38 4 2 30 1,2,3,4,7,8,12
P16 56 4 2 40 1,2,3,4,7,8,12
P17 40 4 4 20 1,2,3,4,7,8,12
P18 76 4 4 30 1,2,3,4,7,8,12
P19 112 4 4 40 1,2,3,4,7,8,12
P20 184 4 4 60 1,2,3,4,7,8,12
P21 60 4 6 20 1,2,3,4,7,8,12
P22 114 4 6 30 1,2,3,4,7,8,12
P23 168 4 6 40 1,2,3,4,7,8,12
P24 51 6 3 20 1,2,3,4,5,6,9,10,11,13
P25 51 6 3 20 1,2,3,4,5,6,9,10,11,13
P26 51 6 3 20 1,2,3,4,5,6,9,10,11,13
P27 102 6 6 20 1,2,3,4,5,6,9,10,11,13
P28 102 6 6 20 1,2,3,4,5,6,9,10,11,13
P29 102 6 6 20 1,2,3,4,5,6,9,10,11,13
P30 153 6 9 20 1,2,3,4,5,6,9,10,11,13
P31 153 6 9 20 1,2,3,4,5,6,9,10,11,13
P32 153 6 9 20 1,2,3,4,5,6,9,10,11,13
Day
Pattern 1 2 3 4 5 6
1 ?
2 ?
3 ?
4 ?
5 ?
6 ?
7 ? ?
8 ? ?
9 ? ?
10 ? ?
11 ? ?
12 ? ? ? ?
13 ? ? ? ? ? ?
861
Table C.4: Node locations, demands, and frequencies for P1?P3.
No. x y q f No. x y q f No. x y q f
0 30.00 40.00 0 0 17 27.00 23.00 3 1 34 61.00 33.00 26 5
1 37.00 52.00 7 1 18 17.00 33.00 41 5 35 62.00 63.00 17 2
2 49.00 49.00 30 5 19 13.00 13.00 9 1 36 63.00 69.00 6 1
3 52.00 64.00 16 2 20 57.00 58.00 28 5 37 32.00 22.00 9 1
4 20.00 26.00 9 1 21 62.00 42.00 8 1 38 45.00 35.00 15 2
5 40.00 30.00 21 2 22 42.00 57.00 8 1 39 59.00 15.00 14 2
6 21.00 47.00 15 2 23 16.00 57.00 16 2 40 5.00 6.00 7 1
7 17.00 63.00 19 2 24 8.00 52.00 10 1 41 10.00 17.00 27 5
8 31.00 62.00 23 2 25 7.00 38.00 28 5 42 21.00 10.00 13 2
9 52.00 33.00 11 2 26 27.00 68.00 7 1 43 5.00 64.00 11 2
10 51.00 21.00 5 1 27 30.00 48.00 15 2 44 30.00 15.00 16 2
11 42.00 41.00 19 2 28 43.00 67.00 14 2 45 39.00 10.00 10 1
12 31.00 32.00 29 5 29 58.00 48.00 6 1 46 32.00 39.00 5 1
13 5.00 25.00 23 2 30 58.00 27.00 19 2 47 25.00 32.00 25 2
14 12.00 42.00 21 2 31 37.00 69.00 11 2 48 25.00 55.00 17 2
15 36.00 16.00 10 1 32 38.00 46.00 12 2 49 48.00 28.00 18 2
16 52.00 41.00 15 2 33 46.00 10.00 23 2 50 56.00 37.00 10 1
Note: for P1 and P3, f = 1 for all customers.
862
Table C.5: Node locations, demands, and frequencies for P4?P6.
No. x y q f No. x y q f No. x y q f
0 40.00 40.00 0 0 26 41.00 46.00 18 2 52 54.00 38.00 19 2
1 22.00 22.00 18 2 27 55.00 34.00 17 2 53 55.00 57.00 22 2
2 36.00 26.00 26 2 28 35.00 16.00 29 5 54 67.00 41.00 16 2
3 21.00 45.00 11 1 29 52.00 26.00 13 1 55 10.00 70.00 7 1
4 45.00 35.00 30 5 30 43.00 26.00 22 2 56 6.00 25.00 26 2
5 55.00 20.00 21 2 31 31.00 76.00 25 2 57 65.00 27.00 14 1
6 33.00 34.00 19 2 32 22.00 53.00 28 5 58 40.00 60.00 21 2
7 50.00 50.00 15 1 33 26.00 29.00 27 2 59 70.00 64.00 24 2
8 55.00 45.00 16 2 34 50.00 40.00 19 2 60 64.00 4.00 13 1
9 26.00 59.00 29 5 35 55.00 50.00 10 1 61 36.00 6.00 15 1
10 40.00 66.00 26 2 36 54.00 10.00 12 1 62 30.00 20.00 18 2
11 55.00 65.00 37 5 37 60.00 15.00 14 1 63 20.00 30.00 11 1
12 35.00 51.00 16 2 38 47.00 66.00 24 2 64 15.00 5.00 28 5
13 62.00 35.00 12 1 39 30.00 60.00 16 2 65 50.00 70.00 9 1
14 62.00 57.00 31 5 40 30.00 50.00 33 5 66 57.00 72.00 37 5
15 62.00 24.00 8 1 41 12.00 17.00 15 1 67 45.00 42.00 30 5
16 21.00 36.00 19 2 42 15.00 14.00 11 1 68 38.00 33.00 10 1
17 33.00 44.00 20 2 43 16.00 19.00 18 2 69 50.00 4.00 8 1
18 9.00 56.00 13 1 44 21.00 48.00 17 2 70 66.00 8.00 11 1
19 62.00 48.00 15 1 45 50.00 30.00 21 2 71 59.00 5.00 3 1
20 66.00 14.00 22 2 46 51.00 42.00 27 2 72 35.00 60.00 1 1
21 44.00 13.00 28 5 47 50.00 15.00 19 2 73 27.00 24.00 6 1
22 26.00 13.00 12 1 48 48.00 21.00 20 2 74 40.00 20.00 10 1
23 11.00 28.00 6 1 49 12.00 38.00 5 1 75 40.00 37.00 20 2
24 7.00 43.00 27 2 50 15.00 56.00 22 2
25 17.00 64.00 14 1 51 29.00 39.00 12 1
Note: for P4 and P6, f = 1 for all customers.
863
Table C.6: Node locations, demands, and frequencies for P7?P10.
No. x y q f No. x y q f No. x y q f
0 35.00 35.00 0 0 34 65.00 55.00 14 2 68 56.00 39.00 36 5
1 41.00 49.00 10 1 35 63.00 65.00 8 1 69 37.00 47.00 6 1
2 35.00 17.00 7 1 36 2.00 60.00 5 1 70 37.00 56.00 5 1
3 55.00 45.00 13 2 37 20.00 20.00 8 1 71 57.00 68.00 15 2
4 55.00 20.00 19 2 38 5.00 5.00 16 2 72 47.00 16.00 25 2
5 15.00 30.00 26 5 39 60.00 12.00 31 5 73 44.00 17.00 9 1
6 25.00 30.00 3 1 40 40.00 25.00 9 1 74 46.00 13.00 8 1
7 20.00 50.00 5 1 41 42.00 7.00 5 1 75 49.00 11.00 18 2
8 10.00 43.00 9 1 42 24.00 12.00 5 1 76 49.00 42.00 13 2
9 55.00 60.00 16 2 43 23.00 3.00 7 1 77 53.00 43.00 14 2
10 30.00 60.00 16 2 44 11.00 14.00 18 2 78 61.00 52.00 3 1
11 20.00 65.00 12 2 45 6.00 38.00 16 2 79 57.00 48.00 23 2
12 50.00 35.00 19 2 46 2.00 48.00 1 1 80 56.00 37.00 6 1
13 30.00 25.00 23 2 47 8.00 56.00 27 5 81 55.00 54.00 26 5
14 15.00 10.00 20 2 48 13.00 52.00 36 5 82 15.00 47.00 16 2
15 30.00 5.00 8 1 49 6.00 68.00 30 5 83 14.00 37.00 11 2
16 10.00 20.00 19 2 50 47.00 47.00 13 2 84 11.00 31.00 7 1
17 5.00 30.00 2 1 51 49.00 58.00 10 1 85 16.00 22.00 41 5
18 20.00 40.00 12 2 52 27.00 43.00 9 1 86 4.00 18.00 35 5
19 15.00 60.00 17 2 53 37.00 31.00 14 2 87 28.00 18.00 26 5
20 45.00 65.00 9 1 54 57.00 29.00 18 2 88 26.00 52.00 9 1
21 45.00 20.00 11 2 55 63.00 23.00 2 1 89 26.00 35.00 15 2
22 45.00 10.00 18 2 56 53.00 12.00 6 1 90 31.00 67.00 3 1
23 55.00 5.00 29 5 57 32.00 12.00 7 1 91 15.00 19.00 1 1
24 65.00 35.00 3 1 58 36.00 26.00 18 2 92 22.00 22.00 2 1
25 65.00 20.00 6 1 59 21.00 24.00 28 5 93 18.00 24.00 22 2
26 45.00 30.00 17 2 60 17.00 34.00 3 1 94 26.00 27.00 27 5
27 35.00 40.00 16 2 61 12.00 24.00 13 2 95 25.00 24.00 20 2
28 41.00 37.00 16 2 62 24.00 58.00 19 2 96 22.00 27.00 11 2
29 64.00 42.00 9 1 63 27.00 69.00 10 1 97 25.00 21.00 12 2
30 40.00 60.00 21 2 64 15.00 77.00 9 1 98 19.00 21.00 10 1
31 31.00 52.00 27 5 65 62.00 77.00 20 2 99 20.00 26.00 9 1
32 35.00 69.00 23 2 66 49.00 73.00 25 2 100 18.00 18.00 17 2
33 53.00 52.00 11 2 67 67.00 5.00 25 2
Note: for P7 and P9, f = 1 for all customers, and for P10, f = 5 changes to f = 3.
864
Table C.7: Node locations, demands, and frequencies for P11.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 35 -4.469 -0.719 22 2 70 1.563 0.750 4 1
1 -20.656 -6.313 54 4 36 -11.906 -4.500 10 2 71 2.844 -4.938 8 1
2 17.781 0.075 10 5 37 -3.250 -1.906 33 2 72 7.875 -2.594 12 1
3 -9.156 -9.250 8 1 38 -2.281 2.156 7 2 73 -5.344 -1.563 16 1
4 -10.469 -6.875 105 2 39 -1.688 -4.594 21 2 74 -5.750 -4.500 10 1
5 -20.656 -6.031 26 4 40 7.563 -12.219 19 1 75 -11.625 -7.000 10 1
6 -8.156 -4.156 20 3 41 2.406 -5.500 12 1 76 -18.688 -7.094 8 1
7 -19.031 -6.063 9 3 42 3.281 -3.063 31 1 77 -10.094 -19.468 18 1
8 -14.219 -12.313 8 3 43 9.875 -3.063 10 1 78 -24.063 -17.500 2 1
9 -16.000 -17.218 24 3 44 15.250 -0.906 5 1 79 -15.656 -11.906 26 1
10 2.781 -15.688 12 3 45 8.656 -3.063 16 1 80 4.313 -11.500 33 1
11 2.663 -11.063 31 3 46 5.906 -4.500 23 1 81 6.344 -19.250 20 1
12 9.125 -13.781 10 3 47 -7.344 1.625 11 1 82 20.156 -9.344 3 1
13 9.125 -24.218 9 3 48 -6.844 9.594 11 1 83 11.438 -4.969 9 1
14 3.531 -5.188 11 3 49 -3.594 5.594 5 1 84 1.469 1.750 7 1
15 -4.438 -4.594 18 3 50 -5.750 4.438 9 1 85 13.500 1.938 3 1
16 -1.500 1.344 41 3 51 -2.063 -5.781 13 1 86 2.844 -3.063 17 1
17 7.094 2.531 6 3 52 -23.156 -5.063 16 1 87 1.250 -3.063 18 1
18 -7.906 -11.563 35 2 53 -26.125 -6.625 19 1 88 -0.281 -4.281 9 1
19 -6.688 -4.719 18 2 54 -14.405 -7.125 8 1 89 -1.688 -5.281 9 1
20 3.250 -11.375 22 2 55 -12.719 -8.813 5 1 90 -6.656 -2.688 14 1
21 5.031 -12.093 25 2 56 -11.218 -13.813 5 1 91 -3.594 -3.594 26 1
22 11.844 -17.406 12 2 57 -5.813 -15.750 6 1 92 -8.188 0.188 25 1
23 2.813 -9.344 17 2 58 -6.000 -13.625 11 1 93 -2.156 -4.969 4 1
24 2.375 -5.531 23 2 59 -4.219 -13.813 9 1 94 -2.813 -6.000 13 1
25 -3.281 -4.250 11 2 60 -11.125 -11.250 10 1 95 -2.375 -0.625 12 1
26 -7.125 -3.188 26 2 61 2.313 -10.188 10 1 96 -4.875 -4.969 6 1
27 -5.750 7.375 11 2 62 2.813 -10.813 11 1 97 4.656 -6.000 8 1
28 -19.500 -7.125 23 2 63 3.750 -12.313 18 1 98 4.750 0.940 5 1
29 -8.875 -8.594 21 2 64 4.156 -13.188 11 1 99 18.500 5.781 14 1
30 -13.563 -13.625 11 2 65 5.281 -12.313 11 1 100 7.125 -2.250 29 1
31 -5.183 -13.813 15 2 66 5.063 -7.219 23 1 101 2.813 -2.250 10 1
32 3.781 -12.406 28 2 67 -0.531 -4.906 5 1 102 2.813 0.250 12 1
33 -5.688 -4.156 26 2 68 -0.750 -3.969 4 1 103 1.750 -3.125 14 1
34 0.688 1.250 17 2 69 -5.688 4.844 18 1 104 0.531 -3.281 7 1
(cont.)
865
Table C.7 continued.
No. x y q f No. x y q f No. x y q f
105 -1.625 -0.906 16 1 114 -14.250 -13.250 19 1 123 -4.875 -3.250 3 1
106 2.781 -17.593 5 1 115 -14.438 -16.156 8 1 124 -6.875 -3.375 16 1
107 3.469 -11.375 13 1 116 -1.531 -10.625 6 1 125 2.281 -6.844 3 1
108 7.219 -13.219 16 1 117 3.188 -12.000 8 1 126 -19.091 -6.166 8 1
109 7.469 -14.500 15 1 118 4.969 -9.031 6 1 127 -20.656 -6.413 64 1
110 -8.625 -12.000 10 1 119 2.813 -6.156 4 1 128 -9.265 -9.250 5 3
111 -9.344 -0.813 5 1 120 6.875 -0.625 3 1 129 -9.156 -9.350 41 1
112 -6.531 -3.969 9 1 121 -5.781 -6.281 5 1 130 -10.569 -6.875 15 2
113 -9.625 -9.813 7 1 122 -4.969 -4.469 10 1 131 -10.469 -6.975 135 1
866
Table C.8: Node locations, demands, and frequencies for P12.
No. x y q f No. x y q f No. x y q f
0 13.54 7.07 0 0 35 -12.46 -17.50 2 1 70 8.04 -21.46 7 1
1 -20.61 -8.04 2 1 36 -9.06 -10.87 5 1 71 8.10 -21.46 3 1
2 -21.23 -8.15 2 1 37 -9.97 -12.91 3 1 72 15.74 -22.03 30 3
3 -21.63 -8.15 12 2 38 -7.64 -12.63 3 1 73 11.78 -20.89 6 1
4 -22.14 -8.32 3 1 39 -5.55 -15.23 3 1 74 13.14 -22.08 3 1
5 -37.43 -11.44 54 3 40 -2.72 -9.63 6 1 75 12.91 -22.88 3 1
6 -35.33 -12.91 3 1 41 -2.77 -19.25 3 1 76 13.36 -25.54 2 1
7 -34.48 -10.99 9 1 42 -2.72 -20.84 3 1 77 16.53 -24.46 3 1
8 -19.53 -15.12 4 1 43 -6.57 -28.48 19 2 78 16.53 -24.97 2 1
9 -17.21 -13.42 3 1 44 -6.57 -34.94 4 1 79 16.76 -25.93 6 1
10 -16.59 -16.76 41 3 45 3.40 -36.13 3 1 80 16.53 -43.88 9 1
11 -17.27 -17.33 2 1 46 5.04 -28.43 3 1 81 18.01 -21.40 4 1
12 -17.44 -17.78 2 1 47 1.25 -26.16 9 1 82 7.02 -19.59 3 1
13 -17.84 -18.23 3 1 48 9.12 -24.46 22 3 83 6.97 -19.08 3 1
14 -16.08 -19.59 9 1 49 9.29 -23.78 3 1 84 6.46 -19.59 3 1
15 -16.08 -15.57 8 1 50 9.23 -23.22 3 1 85 6.34 -19.53 3 1
16 -15.35 -20.84 9 1 51 7.64 -23.73 3 1 86 7.87 -17.33 3 1
17 -17.84 -20.89 6 1 52 8.04 -22.31 4 1 87 9.00 -16.36 3 1
18 -19.93 -24.91 2 1 53 6.85 -22.48 2 1 88 5.10 -16.93 9 1
19 -24.01 -24.01 3 1 54 6.79 -22.48 2 1 89 5.15 -15.97 2 1
20 -25.76 -22.31 6 1 55 6.62 -21.74 2 1 90 1.25 -12.34 2 1
21 -25.82 -24.01 2 1 56 5.78 -21.74 3 1 91 2.15 -10.87 5 1
22 -26.16 -28.37 4 1 57 5.72 -20.84 5 1 92 5.10 -10.99 2 1
23 -26.16 -29.27 4 1 58 3.91 -20.67 6 1 93 5.10 -11.15 2 1
24 -28.59 -31.71 8 1 59 4.64 -20.05 8 1 94 3.79 -8.49 3 1
25 -31.26 -33.41 18 2 60 6.00 -20.61 3 1 95 4.42 -9.00 3 1
26 -28.99 -31.20 8 1 61 6.34 -20.61 3 1 96 5.27 -10.08 3 1
27 -22.25 -28.26 3 1 62 8.15 -20.61 3 1 97 5.66 -10.42 12 2
28 -19.42 -25.03 3 1 63 8.66 -15.57 3 1 98 6.29 -10.02 2 1
29 -16.82 -19.99 3 1 64 7.19 -20.72 6 1 99 6.40 -9.40 8 1
30 -15.97 -25.08 2 1 65 7.19 -20.78 3 1 100 7.02 -9.06 3 1
31 -10.53 -29.44 3 1 66 7.25 -21.29 6 1 101 16.76 -13.02 9 1
32 -10.53 -25.03 3 1 67 7.59 -21.18 5 1 102 16.76 -16.65 8 1
33 -11.55 -22.65 3 1 68 8.04 -21.40 2 1 103 32.22 0.14 10 2
34 -10.53 -22.20 2 1 69 8.04 -21.35 2 1 104 12.46 -1.13 3 1
(cont.)
867
Table C.8 continued.
No. x y q f No. x y q f No. x y q f
105 -1.13 -8.66 3 1 125 -8.83 -5.89 3 1 145 -11.67 -6.34 2 1
106 -2.61 -12.29 3 1 126 -8.55 -7.19 3 1 146 -16.42 -4.13 6 1
107 -2.77 -10.99 3 1 127 -5.04 -5.83 2 1 147 -12.17 -4.13 4 1
108 -4.08 -10.87 3 1 128 -2.61 -5.83 3 1 148 -11.32 -4.64 3 1
109 -3.17 -8.95 3 1 129 -4.30 -2.72 9 1 149 -10.36 -4.59 6 1
110 5.15 -9.57 2 1 130 -2.72 -2.21 9 1 150 -8.61 -3.40 13 2
111 -6.74 -9.97 2 1 131 -1.70 -1.98 6 1 151 -8.55 -3.74 2 1
112 -10.47 -11.38 3 1 132 -2.09 -1.19 21 3 152 -8.10 -1.30 2 1
113 -10.42 -9.74 3 1 133 3.79 0.17 3 1 153 -8.10 -1.36 10 2
114 -15.23 -10.25 20 3 134 4.47 0.79 3 1 154 -6.46 -3.96 7 1
115 -13.25 -9.63 4 1 135 2.66 4.53 5 1 155 -5.89 -3.45 5 1
116 -13.25 -10.82 2 1 136 1.25 2.26 3 1 156 -4.98 -2.49 4 1
117 -9.57 -8.83 4 1 137 -18.97 -12.46 105 3 157 -6.62 -3.34 3 1
118 -8.04 -8.32 3 1 138 -15.12 -7.14 11 2 158 -6.51 -2.89 5 1
119 -9.00 -8.10 3 1 139 -14.78 -7.53 3 1 159 -6.51 -1.08 3 1
120 -10.25 -7.53 3 1 140 -14.84 -6.57 3 1 160 -6.51 1.08 3 1
121 -10.19 -7.70 3 1 141 -14.16 -6.40 3 1 161 -5.10 2.26 2 1
122 -10.31 -7.53 5 1 142 -14.16 -6.23 3 1 162 -5.15 3.45 2 1
123 -9.80 -7.14 2 1 143 -12.51 -6.23 5 1 163 -4.13 3.91 5 1
124 -9.46 -7.93 3 1 144 -12.46 -6.12 3 1
868
Table C.9: Node locations, demands, and frequencies for P13.
No. x y q f No. x y q f No. x y q f
0 330.37 850.34 0 0 35 304.10 872.87 160 2 70 306.12 882.06 290 1
1 347.70 866.17 250 2 36 304.26 872.24 220 2 71 338.16 857.60 245 1
2 348.17 876.69 150 2 37 344.80 853.47 180 2 72 308.94 877.77 271 1
3 336.67 858.33 300 2 38 347.06 853.66 240 2 73 312.83 864.52 175 1
4 323.90 870.08 224 2 39 347.69 849.67 133 2 74 345.05 877.29 290 1
5 332.33 875.95 210 2 40 342.49 887.19 215 2 75 310.90 870.66 280 1
6 338.40 872.79 250 2 41 312.45 854.26 200 1 76 304.05 876.82 255 1
7 305.23 879.03 220 2 42 324.70 850.13 250 1 77 334.30 861.01 250 1
8 341.82 867.99 300 2 43 346.78 865.68 300 1 78 313.09 857.13 360 1
9 318.26 866.27 180 2 44 348.17 876.69 180 1 79 325.20 862.03 270 1
10 329.90 858.65 190 2 45 347.25 865.78 320 1 80 343.44 863.11 215 1
11 318.79 851.51 160 2 46 347.15 866.27 250 1 81 336.55 868.09 300 1
12 335.42 865.29 270 2 47 347.25 865.78 250 1 82 346.89 866.91 290 1
13 340.09 860.66 210 2 48 347.15 866.27 230 1 83 325.11 878.49 195 1
14 337.59 870.54 255 2 49 347.25 865.78 410 1 84 332.75 863.54 331 1
15 335.11 868.13 228 2 50 348.17 876.69 205 1 85 334.44 869.74 250 1
16 333.73 866.09 220 2 51 336.69 858.38 340 1 86 334.65 869.12 315 1
17 310.00 872.58 165 2 52 331.99 875.32 325 1 87 324.09 862.78 380 1
18 344.46 857.15 215 2 53 323.30 862.71 215 1 88 336.21 866.17 355 1
19 312.81 862.56 155 2 54 323.91 862.50 195 1 89 315.28 878.83 345 1
20 335.63 868.14 200 2 55 347.54 876.75 275 1 90 332.01 867.88 280 1
21 344.42 869.42 210 2 56 326.08 854.50 280 1 91 345.54 869.81 335 1
22 343.22 865.01 220 2 57 331.99 875.32 330 1 92 325.19 858.87 330 1
23 348.06 869.73 280 2 58 318.06 859.41 250 1 93 329.42 871.33 282 1
24 314.31 869.26 190 2 59 313.92 856.82 345 1 94 319.19 877.42 310 1
25 335.46 867.57 240 2 60 324.64 864.58 315 1 95 306.74 878.92 215 1
26 331.48 853.64 265 2 61 323.61 863.37 330 1 96 336.87 878.31 330 1
27 341.71 861.55 230 2 62 323.91 862.51 350 1 97 341.38 879.86 290 1
28 344.83 858.59 255 2 63 323.71 863.02 300 1 98 333.86 866.09 300 1
29 331.99 875.32 225 2 64 342.62 862.05 340 1 99 334.11 868.98 295 1
30 339.53 860.20 170 2 65 313.09 858.09 327 1 100 336.67 866.67 259 1
31 348.06 869.73 165 2 66 312.45 854.26 295 1 101 335.33 867.67 360 1
32 347.30 877.01 200 2 67 328.41 851.70 350 1 102 308.11 880.89 260 1
33 345.54 869.81 175 2 68 306.98 881.66 290 1 103 347.32 869.73 268 1
34 328.46 866.38 190 2 69 306.67 881.00 245 1 104 310.24 874.94 285 1
(cont.)
869
Table C.9 continued.
No. x y q f No. x y q f No. x y q f
105 345.54 869.81 380 1 140 317.21 858.16 250 1 175 330.37 850.34 220 1
106 314.17 860.72 220 1 141 326.31 873.53 260 1 176 320.72 842.27 171 1
107 326.08 854.51 226 1 142 339.28 856.11 260 1 177 319.65 837.82 155 1
108 335.78 867.59 290 1 143 346.57 860.24 250 1 178 325.53 838.89 190 1
109 346.57 860.24 330 1 144 328.57 851.99 250 1 179 324.77 849.47 325 1
110 338.16 856.60 175 1 145 350.00 910.00 250 1 180 324.57 837.33 160 1
111 304.10 882.76 330 1 146 307.75 852.35 230 1 181 322.50 834.67 215 1
112 306.47 881.52 237 1 147 305.17 864.77 460 1 182 333.64 847.87 165 1
113 342.29 876.21 445 1 148 303.64 871.76 265 1 183 335.81 850.79 150 1
114 306.96 880.96 245 1 149 307.19 861.15 315 1 184 313.77 849.42 240 1
115 323.61 863.37 350 1 150 306.46 870.75 290 1 185 336.77 840.03 145 1
116 339.84 859.51 265 1 151 303.68 872.00 225 1 186 339.86 833.79 325 1
117 310.38 858.50 305 1 152 308.87 856.62 400 1 187 339.30 845.35 200 1
118 331.67 863.24 220 1 153 304.18 865.45 225 1 188 326.24 836.55 315 1
119 335.50 868.00 331 1 154 304.26 872.24 290 1 189 330.52 841.65 190 1
120 315.58 852.49 257 1 155 306.07 866.03 465 1 190 336.67 842.83 200 1
121 335.84 863.91 360 1 156 302.54 856.47 185 1 191 323.88 833.51 305 1
122 339.16 864.46 380 1 157 301.56 856.47 180 1 192 338.83 845.23 206 1
123 312.50 854.33 360 1 158 297.96 852.92 220 1 193 338.73 845.33 220 1
124 341.52 856.78 277 1 159 301.67 858.00 160 1 194 335.73 844.16 250 1
125 323.62 862.96 400 1 160 307.03 848.42 300 1 195 336.67 847.17 130 1
126 323.63 862.98 310 1 161 304.44 850.44 300 1 196 336.67 843.67 176 1
127 336.67 858.38 255 1 162 301.56 856.57 185 1 197 338.21 841.17 168 1
128 336.69 858.36 366 1 163 301.46 856.47 221 1 198 338.53 840.22 200 1
129 328.28 857.30 335 1 164 306.07 866.03 215 1 199 338.06 837.59 340 1
130 317.17 862.62 235 1 165 307.60 865.66 430 1 200 338.00 841.67 204 1
131 323.33 862.83 360 1 166 304.41 865.76 350 1 201 317.74 844.41 210 1
132 326.41 853.78 325 1 167 301.67 858.00 100 1 202 339.40 842.07 150 1
133 310.06 863.24 219 1 168 303.68 872.00 245 1 203 342.76 851.94 200 1
134 339.20 878.00 360 1 169 297.26 849.93 250 1 204 338.35 843.16 200 1
135 321.38 857.10 265 1 170 309.60 855.14 315 1 205 332.45 842.53 245 1
136 330.98 867.54 270 1 171 303.68 872.10 300 1 206 338.48 844.31 250 1
137 349.78 857.63 240 1 172 304.17 872.33 265 1 207 336.67 842.83 250 1
138 330.75 868.44 380 1 173 332.45 842.53 240 1 208 338.21 841.17 300 1
139 313.63 853.34 275 1 174 326.24 836.56 165 1 209 338.41 841.02 220 1
(cont.)
870
Table C.9 continued.
No. x y q f No. x y q f No. x y q f
210 339.33 842.17 150 1 245 328.41 836.20 275 1 280 337.09 851.47 275 1
211 342.04 834.55 285 1 246 328.10 836.76 230 1 281 334.22 845.21 128 1
212 338.06 841.71 180 1 247 328.20 836.66 220 1 282 317.70 847.94 250 1
213 337.24 842.83 166 1 248 337.94 846.59 275 1 283 344.68 844.28 285 1
214 338.08 846.34 200 1 249 350.19 851.82 240 1 284 335.42 842.33 290 1
215 340.00 833.83 205 1 250 334.34 820.15 250 1 285 325.58 842.36 250 1
216 341.23 840.03 340 1 251 334.38 819.41 245 1 286 333.25 833.89 315 1
217 338.14 843.58 190 1 252 347.67 847.97 250 1 287 346.84 844.72 390 1
218 328.53 846.06 260 1 253 334.63 819.86 232 1 288 341.69 847.99 250 1
219 337.05 842.42 150 1 254 343.00 838.33 325 1 289 337.26 843.36 230 1
220 337.55 843.87 205 1 255 341.01 845.19 265 1 290 338.06 841.71 200 1
221 324.77 849.47 200 1 256 343.53 829.28 260 1 291 336.11 838.52 250 1
222 336.69 838.58 215 1 257 328.49 836.77 245 1 292 339.94 850.04 240 1
223 330.35 839.40 211 1 258 321.67 831.33 230 1 293 335.73 844.16 200 1
224 328.79 843.28 245 1 259 342.94 838.25 274 1 294 335.37 852.53 275 1
225 337.00 846.67 250 1 260 342.41 844.81 240 1 295 342.80 831.09 275 1
226 338.84 845.31 179 1 261 332.94 839.61 315 1 296 315.67 841.67 250 1
227 336.67 843.67 250 1 262 337.35 827.46 290 1 297 348.75 839.60 200 1
228 333.64 847.87 260 1 263 330.93 820.18 370 1 298 349.50 853.00 165 1
229 335.24 843.56 242 1 264 340.74 842.96 423 1 299 345.32 839.84 250 1
230 320.72 842.27 155 1 265 345.98 837.62 280 1 300 338.61 846.77 300 1
231 336.67 840.00 140 1 266 326.24 836.56 300 1 301 341.36 828.26 195 1
232 337.11 841.06 178 1 267 333.33 845.50 365 1 302 348.78 833.99 255 1
233 338.83 845.33 405 1 268 342.76 851.94 160 1 303 328.75 851.78 250 1
234 339.33 845.33 250 1 269 326.58 837.54 300 1 304 328.87 848.30 190 1
235 337.50 847.47 280 1 270 340.66 846.72 350 1 305 334.68 819.92 290 1
236 339.40 842.07 250 1 271 342.29 838.84 455 1 306 334.34 820.15 375 1
237 339.33 842.17 220 1 272 323.02 840.24 220 1 307 340.24 843.44 250 1
238 338.00 841.67 200 1 273 325.42 828.92 230 1 308 337.33 849.13 300 1
239 325.00 828.00 215 1 274 339.51 839.89 260 1 309 345.12 835.26 180 1
240 330.86 832.30 260 1 275 328.49 836.77 340 1 310 331.75 848.74 265 1
241 334.36 819.67 240 1 276 340.66 846.72 265 1 311 345.32 839.84 220 1
242 334.63 824.99 270 1 277 329.98 824.05 300 1 312 335.97 834.68 200 1
243 334.67 820.17 170 1 278 310.42 848.78 280 1 313 343.69 849.38 250 1
244 334.38 819.41 289 1 279 340.98 835.68 400 1 314 345.05 849.49 322 1
(cont.)
871
Table C.9 continued.
No. x y q f No. x y q f No. x y q f
315 324.87 849.48 295 1 350 334.00 884.17 410 1 385 354.50 867.95 370 1
316 324.77 849.47 430 1 351 317.04 891.26 190 1 386 355.21 843.59 375 1
317 333.52 816.96 250 1 352 312.31 904.56 270 1 387 350.09 852.84 310 1
318 334.68 819.92 250 1 353 339.88 884.79 315 1 388 356.51 883.91 315 1
319 299.46 901.21 180 1 354 303.98 890.80 240 1 389 352.40 858.31 265 1
320 325.00 921.33 250 1 355 324.50 886.50 265 1 390 352.25 882.38 250 1
321 299.46 901.21 250 1 356 303.98 890.81 290 1 391 356.13 870.41 430 1
322 307.81 898.57 220 1 357 342.49 887.19 290 1 392 355.93 892.60 305 1
323 302.00 932.50 250 1 358 305.32 896.67 600 1 393 351.06 899.59 215 1
324 304.58 910.70 250 1 359 341.92 887.22 270 1 394 351.52 899.81 235 1
325 302.50 932.58 164 1 360 323.20 891.61 185 1 395 351.07 899.77 150 1
326 304.09 908.99 100 1 361 323.11 901.79 320 1 396 351.17 899.67 245 1
327 302.10 932.06 200 1 362 303.98 890.80 225 1 397 350.57 898.92 245 1
328 302.00 932.33 200 1 363 354.44 846.00 250 1 398 360.37 893.83 265 1
329 299.88 902.43 170 1 364 351.49 848.67 210 1 399 357.34 843.43 200 1
330 302.79 897.73 140 1 365 353.53 862.05 415 1 400 353.71 853.89 205 1
331 335.71 884.20 335 1 366 356.13 870.41 262 1 401 350.07 852.03 140 1
332 334.11 910.08 295 1 367 351.49 848.67 135 1 402 351.86 861.09 375 1
333 324.62 886.60 235 1 368 354.84 864.52 350 1 403 351.06 899.59 138 1
334 317.04 891.26 181 1 369 354.44 846.00 260 1 404 350.44 896.63 235 1
335 313.02 892.99 250 1 370 355.00 850.17 235 1 405 359.19 887.60 205 1
336 303.83 885.29 313 1 371 350.30 851.85 205 1 406 350.74 850.63 200 1
337 303.83 887.00 290 1 372 350.28 852.33 195 1 407 356.05 851.90 185 1
338 303.92 886.34 260 1 373 356.05 844.64 190 1 408 352.59 889.99 220 1
339 304.16 889.26 300 1 374 351.49 848.67 190 1 409 351.17 899.67 250 1
340 304.26 889.16 245 1 375 350.09 852.29 150 1 410 351.25 853.24 160 1
341 316.77 886.48 380 1 376 352.63 851.76 250 1 411 354.44 846.10 250 1
342 315.68 913.66 245 1 377 351.49 848.67 300 1 412 354.34 846.10 280 1
343 346.19 899.67 255 1 378 351.51 865.71 330 1 413 351.36 900.08 1000 1
344 304.40 885.46 245 1 379 351.99 870.29 261 1 414 350.08 852.08 250 1
345 324.21 901.34 165 1 380 350.21 857.11 273 1 415 341.82 867.99 67 1
346 349.04 885.67 300 1 381 353.26 845.28 280 1 416 345.54 869.81 119 1
347 342.00 905.73 190 1 382 357.93 842.74 205 1 417 345.64 869.91 125 1
348 323.41 908.69 235 1 383 350.07 852.03 160 1
349 334.63 888.18 240 1 384 356.55 888.75 245 1
872
Table C.10: Node locations, demands, and frequencies for P14.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 7 -17.321 -10.000 2 2 14 21.213 21.213 1 1
1 10.000 0.000 5 4 8 17.321 -10.000 2 2 15 -21.213 21.213 1 1
2 -10.000 0.000 5 4 9 34.641 20.000 2 2 16 -28.978 7.765 1 1
3 50.000 0.000 5 4 10 -34.641 20.000 2 2 17 -28.978 -7.765 1 1
4 -50.000 0.000 5 4 11 -34.641 -20.000 2 2 18 -21.213 -21.213 1 1
5 17.321 10.000 2 2 12 34.641 -20.000 2 2 19 21.213 -21.213 1 1
6 -17.321 10.000 2 2 13 28.978 7.765 1 1 20 28.978 -7.765 1 1
Table C.11: Node locations, demands, and frequencies for P15.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 13 -34.641 -20.000 2 2 26 -28.978 7.765 1 1
1 10.000 0.000 5 4 14 34.641 -20.000 2 2 27 -28.987 -7.765 1 1
2 -10.000 0.000 5 4 15 51.962 30.000 2 2 28 -21.213 -21.213 1 1
3 50.000 0.000 5 4 16 -51.962 30.000 2 2 29 21.213 -21.213 1 1
4 -50.000 0.000 5 4 17 -51.962 -30.000 2 2 30 28.978 -7.765 1 1
5 90.000 0.000 5 4 18 51.962 -30.000 2 2 31 67.615 18.117 1 1
6 -90.000 0.000 5 4 19 69.282 40.000 2 2 32 49.497 49.497 1 1
7 17.321 10.000 2 2 20 -69.282 40.000 2 2 33 -49.497 49.497 1 1
8 -17.321 10.000 2 2 21 -69.282 -40.000 2 2 34 -67.615 18.117 1 1
9 -17.321 -10.000 2 2 22 69.282 -40.000 2 2 35 -67.615 -18.117 1 1
10 17.321 -10.000 2 2 23 28.978 7.765 1 1 36 -49.497 -49.497 1 1
11 34.641 20.000 2 2 24 21.213 21.213 1 1 37 49.497 -49.497 1 1
12 -34.641 20.000 2 2 25 -21.213 21.213 1 1 38 67.615 -18.117 1 1
873
Table C.12: Node locations, demands, and frequencies for P16.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 19 -51.962 -30.000 2 2 38 -21.213 -21.213 1 1
1 10.000 0.000 5 4 20 51.962 -30.000 2 2 39 21.213 -21.213 1 1
2 -10.000 0.000 5 4 21 69.282 40.000 2 2 40 28.978 -7.765 1 1
3 50.000 0.000 5 4 22 -69.282 40.000 2 2 41 67.615 18.117 1 1
4 -50.000 0.000 5 4 23 -69.282 -40.000 2 2 42 49.497 49.497 1 1
5 90.000 0.000 5 4 24 69.282 -40.000 2 2 43 -49.497 49.497 1 1
6 -90.000 0.000 5 4 25 86.603 50.000 2 2 44 -67.615 18.117 1 1
7 130.000 0.000 5 4 26 -86.603 50.000 2 2 45 -67.615 -18.117 1 1
8 -130.000 0.000 5 4 27 -86.603 -50.000 2 2 46 -49.497 -49.497 1 1
9 17.231 10.000 2 2 28 86.603 -50.000 2 2 47 49.497 -49.497 1 1
10 -17.231 10.000 2 2 29 103.923 60.000 2 2 48 67.615 -18.117 1 1
11 -17.231 -10.000 2 2 30 -103.923 60.000 2 2 49 106.252 28.470 1 1
12 17.321 -10.000 2 2 31 -103.923 -60.000 2 2 50 77.782 77.782 1 1
13 34.641 20.000 2 2 32 103.923 -60.000 2 2 51 -77.782 77.782 1 1
14 -34.641 20.000 2 2 33 28.978 7.765 1 1 52 -106.252 28.470 1 1
15 -34.641 -20.000 2 2 34 21.213 21.213 1 1 53 -106.252 -28.470 1 1
16 34.641 -20.000 2 2 35 -21.213 21.213 1 1 54 -77.782 -77.782 1 1
17 51.962 30.000 2 2 36 -28.978 7.765 1 1 55 77.782 -77.782 1 1
18 -51.962 30.000 2 2 37 -28.978 -7.765 1 1 56 106.252 -28.470 1 1
874
Table C.13: Node locations, demands, and frequencies for P17.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 14 -5.176 -19.319 2 2 28 3.916 29.743 1 1
1 10.000 0.000 5 4 15 5.176 -19.319 2 2 29 -3.916 29.743 1 1
2 0.000 10.000 5 4 16 19.319 -5.176 2 2 30 -11.481 27.716 1 1
3 -10.000 0.000 5 4 17 38.637 10.353 2 2 31 -27.716 11.481 1 1
4 0.000 -10.000 5 4 18 10.353 38.367 2 2 32 -29.743 3.916 1 1
5 50.000 0.000 5 4 19 -10.353 38.637 2 2 33 -29.743 -3.916 1 1
6 0.000 50.000 5 4 20 -38.637 10.353 2 2 34 -27.716 -11.481 1 1
7 -50.000 0.000 5 4 21 -38.637 -10.353 2 2 35 -11.480 -27.716 1 1
8 0.000 -50.000 5 4 22 -10.353 -38.637 2 2 36 -3.916 -29.743 1 1
9 19.319 5.176 2 2 23 10.353 -38.637 2 2 37 3.916 -29.743 1 1
10 5.176 19.319 2 2 24 38.637 -10.353 2 2 38 11.481 -27.716 1 1
11 -5.176 19.319 2 2 25 29.743 3.916 1 1 39 27.716 -11.480 1 1
12 -19.319 5.176 2 2 26 27.716 11.481 1 1 40 29.743 -3.916 1 1
13 -19.319 -5.176 2 2 27 11.481 27.716 1 1
875
Table C.14: Node locations, demands, and frequencies for P18.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 26 -10.353 -38.637 2 2 52 -29.743 3.916 1 1
1 10.000 0.000 5 4 27 10.353 -38.637 2 2 53 -29.743 -3.916 1 1
2 0.000 10.000 5 4 28 38.637 -10.353 2 2 54 -27.716 -11.481 1 1
3 -10.000 0.000 5 4 29 57.956 15.529 2 2 55 -11.480 -27.716 1 1
4 0.000 -10.000 5 4 30 15.529 57.956 2 2 56 -3.916 -29.743 1 1
5 50.000 0.000 5 4 31 -15.529 57.956 2 2 57 3.916 -29.743 1 1
6 0.000 50.000 5 4 32 -57.956 15.529 2 2 58 11.481 -27.716 1 1
7 -50.000 0.000 5 4 33 -57.956 -15.529 2 2 59 27.719 -11.481 1 1
8 0.000 -50.000 5 4 34 -15.529 -57.956 2 2 60 29.743 -3.916 1 1
9 90.000 0.000 5 4 35 15.529 -57.956 2 2 61 69.401 9.137 1 1
10 0.000 90.000 5 4 36 57.956 -15.529 2 2 62 64.672 26.788 1 1
11 -90.000 0.000 5 4 37 77.274 20.706 2 2 63 26.788 64.672 1 1
12 0.000 -90.000 5 4 38 20.706 77.274 2 2 64 9.137 69.401 1 1
13 19.319 5.176 2 2 39 -20.706 77.274 2 2 65 -9.137 69.401 1 1
14 5.176 19.319 2 2 40 -77.274 20.706 2 2 66 -26.788 64.672 1 1
15 -5.176 19.319 2 2 41 -77.274 -20.706 2 2 67 -64.672 26.788 1 1
16 -19.319 5.176 2 2 42 -20.706 -77.274 2 2 68 -69.401 9.137 1 1
17 -19.319 -5.176 2 2 43 20.706 -77.274 2 2 69 -69.401 -9.137 1 1
18 -5.176 -19.319 2 2 44 77.274 -20.706 2 2 70 -64.672 -26.788 1 1
19 5.176 -19.319 2 2 45 29.743 3.916 1 1 71 -26.788 -64.672 1 1
20 19.319 -5.176 2 2 46 27.716 11.481 1 1 72 -9.137 -69.401 1 1
21 38.637 10.353 2 2 47 11.481 27.716 1 1 73 9.137 -69.401 1 1
22 10.353 38.367 2 2 48 3.916 29.743 1 1 74 26.788 -64.672 1 1
23 -10.353 38.367 2 2 49 -3.916 29.743 1 1 75 64.672 -26.788 1 1
24 -38.637 10.353 2 2 50 -11.481 27.716 1 1 76 69.401 -9.137 1 1
25 -38.637 -10.353 2 2 51 -27.716 11.481 1 1
876
Table C.15: Node locations, demands, and frequencies for P19.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 38 -15.529 -57.956 2 2 76 -3.916 -29.743 1 1
1 10.000 0.000 5 4 39 15.529 -57.956 2 2 77 3.916 -29.743 1 1
2 0.000 10.000 5 4 40 57.956 -15.529 2 2 78 11.481 -27.716 1 1
3 -10.000 0.000 5 4 41 77.274 20.706 2 2 79 27.716 -11.481 1 1
4 0.000 -10.000 5 4 42 20.706 77.274 2 2 80 29.743 -3.916 1 1
5 50.000 0.000 5 4 43 -20.706 77.274 2 2 81 69.401 9.137 1 1
6 0.000 50.000 5 4 44 -77.274 20.706 2 2 82 64.672 26.788 1 1
7 -50.000 0.000 5 4 45 -77.274 -20.706 2 2 83 26.788 64.672 1 1
8 0.000 -50.000 5 4 46 -20.706 -77.274 2 2 84 9.137 69.401 1 1
9 90.000 0.000 5 4 47 20.706 -77.274 2 2 85 -9.137 69.401 1 1
10 0.000 90.000 5 4 48 77.274 -20.706 2 2 86 -26.788 64.672 1 1
11 -90.000 0.000 5 4 49 96.593 25.882 2 2 87 -64.672 26.788 1 1
12 0.000 -90.000 5 4 50 25.882 96.593 2 2 88 -69.401 9.137 1 1
13 130.000 0.000 5 4 51 -25.882 96.593 2 2 89 -69.401 -9.137 1 1
14 0.000 130.000 5 4 52 -96.593 25.882 2 2 90 -64.672 -26.788 1 1
15 -130.000 0.000 5 4 53 -96.593 -25.882 2 2 91 -26.788 -64.672 1 1
16 0.000 -130.000 5 4 54 -25.882 -96.593 2 2 92 -9.137 -69.401 1 1
17 19.319 5.176 2 2 55 25.882 -96.593 2 2 93 9.137 -69.401 1 1
18 5.176 19.319 2 2 56 96.593 -25.882 2 2 94 26.788 -64.672 1 1
19 -5.176 19.319 2 2 57 115.911 31.058 2 2 95 64.672 -26.788 1 1
20 -19.319 5.176 2 2 58 31.058 115.911 2 2 96 69.401 -9.137 1 1
21 -19.319 -5.176 2 2 59 -31.058 115.911 2 2 97 109.059 14.358 1 1
22 -5.176 -19.319 2 2 60 -115.911 31.058 2 2 98 101.627 42.095 1 1
23 5.176 -19.319 2 2 61 -115.911 -31.058 2 2 99 42.095 101.627 1 1
24 19.319 -5.176 2 2 62 -31.058 -115.911 2 2 100 14.358 109.059 1 1
25 38.637 10.353 2 2 63 31.058 -115.911 2 2 101 -14.358 109.059 1 1
26 10.353 38.637 2 2 64 115.910 -31.058 2 2 102 -42.095 101.627 1 1
27 -10.353 38.637 2 2 65 29.743 3.916 1 1 103 -101.627 42.095 1 1
28 -38.637 10.353 2 2 66 27.716 11.481 1 1 104 -109.059 14.358 1 1
29 -38.637 -10.353 2 2 67 11.481 27.716 1 1 105 -109.059 -14.358 1 1
30 -10.353 -38.637 2 2 68 3.916 29.743 1 1 106 -101.627 -42.095 1 1
31 10.353 -38.637 2 2 69 -3.916 29.743 1 1 107 -42.095 -101.627 1 1
32 38.637 -10.353 2 2 70 -11.481 27.716 1 1 108 -14.385 -109.059 1 1
33 57.956 15.529 2 2 71 -27.716 11.481 1 1 109 14.358 -109.059 1 1
34 15.529 57.956 2 2 72 -29.743 3.916 1 1 110 42.095 -101.627 1 1
35 -15.529 57.956 2 2 73 -29.743 -3.916 1 1 111 101.627 -42.095 1 1
36 -57.956 15.529 2 2 74 -27.716 -11.481 1 1 112 109.590 -14.358 1 1
37 -57.956 -15.529 2 2 75 -11.480 -27.716 1 1
877
Table C.16: Node locations, demands, and frequencies for P20.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 35 -10.353 38.637 2 2 70 -31.058 -115.911 2 2
1 10.000 0.000 5 4 36 -38.637 10.353 2 2 71 31.058 -115.911 2 2
2 0.000 10.000 5 4 37 -38.637 -10.353 2 2 72 115.910 -31.058 2 2
3 -10.000 0.000 5 4 38 -10.353 -38.637 2 2 73 135.230 36.235 2 2
4 0.000 -10.000 5 4 39 10.353 -38.637 2 2 74 36.235 135.230 2 2
5 50.000 0.000 5 4 40 38.637 -10.353 2 2 75 -36.235 135.230 2 2
6 0.000 50.000 5 4 41 57.956 15.529 2 2 76 -135.230 36.235 2 2
7 -50.000 0.000 5 4 42 15.529 57.956 2 2 77 -135.230 -36.235 2 2
8 0.000 -50.000 5 4 43 -15.529 57.956 2 2 78 -36.235 -135.230 2 2
9 90.000 0.000 5 4 44 -57.956 15.529 2 2 79 36.235 -135.230 2 2
10 0.000 90.000 5 4 45 -57.956 -15.529 2 2 80 135.230 -36.235 2 2
11 -90.000 0.000 5 4 46 -15.529 -57.956 2 2 81 154.548 41.411 2 2
12 0.000 -90.000 5 4 47 15.529 -57.956 2 2 82 41.411 154.548 2 2
13 130.000 0.000 5 4 48 57.956 -15.529 2 2 83 -41.411 154.548 2 2
14 0.000 130.000 5 4 49 77.274 20.706 2 2 84 -154.548 41.411 2 2
15 -130.000 0.000 5 4 50 20.706 77.274 2 2 85 -154.548 -41.411 2 2
16 0.000 -130.000 5 4 51 -20.706 77.274 2 2 86 -41.411 -154.548 2 2
17 170.000 0.000 5 4 52 -77.274 20.706 2 2 87 41.411 -154.548 2 2
18 0.000 170.000 5 4 53 -77.274 -20.706 2 2 88 154.548 -41.411 2 2
19 -170.000 0.000 5 4 54 -20.706 -77.274 2 2 89 173.867 46.587 2 2
20 0.000 -170.000 5 4 55 20.706 -77.274 2 2 90 46.587 173.867 2 2
21 210.000 0.000 5 4 56 77.274 -20.706 2 2 91 -46.587 173.867 2 2
22 0.000 210.000 5 4 57 96.593 25.882 2 2 92 -173.867 46.587 2 2
23 -210.000 0.000 5 4 58 25.882 96.593 2 2 93 -173.867 -46.587 2 2
24 0.000 -210.000 5 4 59 -25.882 96.593 2 2 94 -46.587 -173.867 2 2
25 19.319 5.176 2 2 60 -96.593 25.882 2 2 95 46.587 -173.867 2 2
26 5.176 19.319 2 2 61 -96.593 -25.882 2 2 96 173.867 -46.587 2 2
27 -5.176 19.319 2 2 62 -25.882 -96.593 2 2 97 193.185 51.764 2 2
28 -19.319 5.176 2 2 63 25.882 -96.593 2 2 98 51.764 193.185 2 2
29 -19.319 -5.176 2 2 64 96.593 -25.882 2 2 99 -51.764 193.185 2 2
30 -5.176 -19.319 2 2 65 115.911 31.058 2 2 100 -193.185 51.764 2 2
31 5.176 -19.319 2 2 66 31.058 115.911 2 2 101 -193.185 -51.764 2 2
32 19.319 -5.176 2 2 67 -31.058 115.911 2 2 102 -51.764 -193.185 2 2
33 38.637 10.353 2 2 68 -115.911 31.058 2 2 103 51.764 -193.185 2 2
34 10.353 38.637 2 2 69 -115.911 -31.058 2 2 104 193.185 -51.764 2 2
(cont.)
878
Table C.16 continued.
No. x y q f No. x y q f No. x y q f
105 29.743 3.916 1 1 132 -9.137 -69.401 1 1 159 -138.582 57.403 1 1
106 27.716 11.481 1 1 133 9.137 -69.401 1 1 160 -148.717 19.579 1 1
107 11.481 27.716 1 1 134 26.788 -64.672 1 1 161 -148.717 -19.579 1 1
108 3.916 29.743 1 1 135 64.672 -26.788 1 1 162 -138.582 -57.403 1 1
109 -3.916 29.743 1 1 136 69.401 -9.137 1 1 163 -57.402 -138.582 1 1
110 -11.481 27.716 1 1 137 109.059 14.358 1 1 164 -19.579 -148.717 1 1
111 -27.716 11.481 1 1 138 101.627 42.095 1 1 165 19.579 -148.717 1 1
112 -29.743 3.916 1 1 139 42.095 101.627 1 1 166 57.403 -138.582 1 1
113 -29.743 -3.916 1 1 140 14.358 109.059 1 1 167 138.582 -57.402 1 1
114 -27.716 -11.481 1 1 141 -14.358 109.059 1 1 168 148.717 -19.579 1 1
115 -11.480 -27.716 1 1 142 -42.095 101.627 1 1 169 188.375 24.800 1 1
116 -3.916 -29.743 1 1 143 -101.627 42.095 1 1 170 175.537 72.710 1 1
117 3.916 -29.743 1 1 144 -109.059 14.358 1 1 171 72.710 175.537 1 1
118 11.481 -27.716 1 1 145 -109.059 -14.358 1 1 172 24.800 188.375 1 1
119 27.716 -11.481 1 1 146 -101.627 -42.095 1 1 173 -24.800 188.375 1 1
120 29.743 -3.916 1 1 147 -42.095 -101.627 1 1 174 -72.710 175.537 1 1
121 69.401 9.137 1 1 148 -14.385 -109.059 1 1 175 -175.537 72.710 1 1
122 64.672 26.788 1 1 149 14.358 -109.059 1 1 176 -188.375 24.800 1 1
123 26.788 64.672 1 1 150 42.095 -101.627 1 1 177 -188.375 -24.800 1 1
124 9.137 69.401 1 1 151 101.627 -42.095 1 1 178 -175.537 -72.710 1 1
125 -9.137 69.401 1 1 152 109.590 -14.358 1 1 179 -72.710 -175.537 1 1
126 -26.788 64.672 1 1 153 148.717 19.579 1 1 180 -24.800 -188.375 1 1
127 -64.672 26.788 1 1 154 138.582 57.403 1 1 181 24.800 -188.375 1 1
128 -69.401 9.137 1 1 155 57.403 138.582 1 1 182 72.710 -175.537 1 1
129 -69.401 -9.137 1 1 156 19.579 148.717 1 1 183 175.537 -72.710 1 1
130 -64.672 -26.788 1 1 157 -19.579 148.717 1 1 184 188.375 -24.800 1 1
131 -26.788 -64.672 1 1 158 -57.403 138.582 1 1
879
Table C.17: Node locations, demands, and frequencies for P21.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 21 -6.840 -18.794 2 2 42 7.765 28.978 1 1
1 10.000 0.000 5 4 22 6.840 -18.794 2 2 43 -7.765 28.978 1 1
2 5.000 8.660 5 4 23 12.859 -15.321 2 2 44 -12.679 27.189 1 1
3 -5.000 8.660 5 4 24 19.696 -3.473 2 2 45 -17.207 24.575 1 1
4 -10.000 0.000 5 4 25 39.392 6.946 2 2 46 -21.213 21.213 1 1
5 -5.000 -8.660 5 4 26 25.712 30.642 2 2 47 -28.987 7.765 1 1
6 5.000 -8.660 5 4 27 13.681 37.588 2 2 48 -29.886 2.615 1 1
7 50.000 0.000 5 4 28 -13.621 37.588 2 2 49 -29.886 -2.615 1 1
8 25.000 43.301 5 4 29 -25.712 30.642 2 2 50 -28.978 -7.765 1 1
9 -25.000 43.301 5 4 30 -39.392 6.946 2 2 51 -21.213 -21.213 1 1
10 -50.000 0.000 5 4 31 -39.392 -6.946 2 2 52 -17.207 -24.575 1 1
11 -25.000 -43.301 5 4 32 -25.718 -30.642 2 2 53 -12.679 -27.189 1 1
12 25.000 -43.301 5 4 33 -13.681 -37.588 2 2 54 -7.765 -28.978 1 1
13 19.696 3.473 2 2 34 13.681 -37.588 2 2 55 7.765 -28.978 1 1
14 12.856 15.321 2 2 35 25.712 -30.642 2 2 56 12.679 -27.189 1 1
15 6.840 18.794 2 2 36 39.392 -6.946 2 2 57 17.207 -24.575 1 1
16 -6.840 18.794 2 2 37 29.889 2.615 1 1 58 21.213 -21.213 1 1
17 -12.856 15.321 2 2 38 28.978 7.765 1 1 59 28.978 -7.765 1 1
18 -19.696 3.473 2 2 39 21.213 21.213 1 1 60 29.886 -2.615 1 1
19 -19.696 -3.473 2 2 40 17.207 24.575 1 1
20 -12.856 -15.321 2 2 41 12.679 27.189 1 1
880
Table C.18: Node locations, demands, and frequencies for P22.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 35 -25.712 30.642 2 2 70 17.207 24.575 1 1
1 10.000 0.000 5 4 36 -39.392 6.946 2 2 71 12.679 27.189 1 1
2 5.000 8.660 5 4 37 -39.392 -6.946 2 2 72 7.765 28.978 1 1
3 -5.000 8.660 5 4 38 -25.718 -30.642 2 2 73 -7.765 28.978 1 1
4 -10.000 0.000 5 4 39 -13.681 -37.588 2 2 74 -12.679 27.189 1 1
5 -5.000 -8.660 5 4 40 13.681 -37.588 2 2 75 -17.207 24.575 1 1
6 5.000 -8.660 5 4 41 25.712 -30.642 2 2 76 -21.213 21.213 1 1
7 50.000 0.000 5 4 42 39.392 -6.946 2 2 77 -28.978 7.765 1 1
8 25.000 43.301 5 4 43 59.088 10.419 2 2 78 -29.886 2.615 1 1
9 -25.000 43.301 5 4 44 38.567 45.963 2 2 79 -29.886 -2.615 1 1
10 -50.000 0.000 5 4 45 20.521 56.382 2 2 80 -28.978 -7.765 1 1
11 -25.000 -43.301 5 4 46 -20.521 56.382 2 2 81 -21.213 -21.213 1 1
12 25.000 -43.301 5 4 47 -38.567 45.963 2 2 82 -17.207 -24.575 1 1
13 90.000 0.000 5 4 48 -59.088 10.419 2 2 83 -12.679 -27.189 1 1
14 45.000 77.942 5 4 49 -59.088 -10.419 2 2 84 -7.765 -28.978 1 1
15 -45.000 77.942 5 4 50 -38.567 -45.963 2 2 85 7.765 -28.978 1 1
16 -90.000 0.000 5 4 51 -20.521 -56.382 2 2 86 12.679 -27.189 1 1
17 -45.000 -77.942 5 4 52 20.521 -56.382 2 2 87 17.207 -24.575 1 1
18 45.000 -77.942 5 4 53 38.567 -45.963 2 2 88 21.213 -21.213 1 1
19 19.696 3.473 2 2 54 59.088 -10.419 2 2 89 28.978 -7.765 1 1
20 12.856 15.321 2 2 55 78.785 13.892 2 2 90 29.886 -2.615 1 1
21 6.840 18.794 2 2 56 51.423 61.284 2 2 91 69.734 6.101 1 1
22 -6.840 18.794 2 2 57 27.362 75.175 2 2 92 67.615 18.117 1 1
23 -12.856 15.321 2 2 58 -27.362 75.175 2 2 93 49.497 49.497 1 1
24 -19.696 3.473 2 2 59 -51.423 61.284 2 2 94 40.150 57.341 1 1
25 -19.696 -3.473 2 2 60 -78.785 13.892 2 2 95 29.583 63.442 1 1
26 -12.856 -15.321 2 2 61 -78.785 -13.892 2 2 96 18.117 67.615 1 1
27 -6.840 -18.794 2 2 62 -51.423 -61.284 2 2 97 -18.117 67.615 1 1
28 6.840 -18.794 2 2 63 -27.362 -75.175 2 2 98 -29.583 63.422 1 1
29 12.859 -15.321 2 2 64 27.362 -75.175 2 2 99 -40.150 57.341 1 1
30 19.696 -3.473 2 2 65 51.423 -61.284 2 2 100 -49.497 49.497 1 1
31 39.392 6.946 2 2 66 78.785 -13.892 2 2 101 -67.615 18.117 1 1
32 25.712 30.642 2 2 67 29.889 2.615 1 1 102 -69.734 6.101 1 1
33 13.681 37.588 2 2 68 28.978 7.765 1 1 103 -69.734 -6.101 1 1
34 -13.621 37.588 2 2 69 21.213 21.213 1 1 104 -67.615 -18.117 1 1
(cont.)
881
Table C.18 continued.
No. x y q f No. x y q f No. x y q f
105 -49.497 -49.497 1 1 109 18.117 -67.615 1 1 113 67.615 -18.117 1 1
106 -40.150 -57.341 1 1 110 29.583 -63.442 1 1 114 69.743 -6.101 1 1
107 -29.583 -63.442 1 1 111 40.150 -57.341 1 1
108 -18.117 -67.615 1 1 112 49.497 -49.497 1 1
882
Table C.19: Node locations, demands, and frequencies for P23.
No. x y q f No. x y q f No. x y q f
0 0.000 0.000 0 0 35 12.859 -15.321 2 2 70 27.362 -75.175 2 2
1 10.000 0.000 5 4 36 19.696 -3.473 2 2 71 51.423 -61.284 2 2
2 5.000 8.660 5 4 37 39.392 6.946 2 2 72 78.785 -13.892 2 2
3 -5.000 8.660 5 4 38 25.712 30.642 2 2 73 98.481 17.365 2 2
4 -10.000 0.000 5 4 39 13.681 37.588 2 2 74 64.279 76.604 2 2
5 -5.000 -8.660 5 4 40 -13.621 37.588 2 2 75 34.202 93.969 2 2
6 5.000 -8.660 5 4 41 -25.712 30.642 2 2 76 -34.202 93.969 2 2
7 50.000 0.000 5 4 42 -39.392 6.946 2 2 77 -64.279 76.604 2 2
8 25.000 43.301 5 4 43 -39.392 -6.946 2 2 78 -98.481 17.365 2 2
9 -25.000 43.301 5 4 44 -25.718 -30.642 2 2 79 -98.481 -17.365 2 2
10 -50.000 0.000 5 4 45 -13.681 -37.588 2 2 80 -64.279 -76.604 2 2
11 -25.000 -43.301 5 4 46 13.681 -37.588 2 2 81 -34.202 -93.969 2 2
12 25.000 -43.301 5 4 47 25.712 -30.642 2 2 82 34.202 -93.969 2 2
13 90.000 0.000 5 4 48 39.392 -6.946 2 2 83 64.279 -76.604 2 2
14 45.000 77.942 5 4 49 59.088 10.419 2 2 84 98.481 -17.365 2 2
15 -45.000 77.942 5 4 50 38.567 45.963 2 2 85 118.177 20.838 2 2
16 -90.000 0.000 5 4 51 20.521 56.382 2 2 86 77.135 91.925 2 2
17 -45.000 -77.942 5 4 52 -20.521 56.382 2 2 87 41.042 112.763 2 2
18 45.000 -77.942 5 4 53 -38.567 45.963 2 2 88 -41.042 112.763 2 2
19 130.000 0.000 5 4 54 -59.088 10.419 2 2 89 -77.135 91.925 2 2
20 65.000 112.583 5 4 55 -59.088 -10.419 2 2 90 -118.177 20.838 2 2
21 -65.000 112.583 5 4 56 -38.567 -45.963 2 2 91 -118.177 -20.838 2 2
22 -130.000 0.000 5 4 57 -20.521 -56.382 2 2 92 -77.134 -91.925 2 2
23 -65.000 -112.583 5 4 58 20.521 -56.382 2 2 93 -41.042 -112.763 2 2
24 65.000 -112.583 5 4 59 38.567 -45.963 2 2 94 41.042 -112.763 2 2
25 19.696 3.473 2 2 60 59.088 -10.419 2 2 95 77.135 -91.925 2 2
26 12.856 15.321 2 2 61 78.785 13.892 2 2 96 118.177 -20.838 2 2
27 6.840 18.794 2 2 62 51.423 61.284 2 2 97 29.889 2.615 1 1
28 -6.840 18.794 2 2 63 27.362 75.175 2 2 98 28.978 7.765 1 1
29 -12.856 15.321 2 2 64 -27.362 75.175 2 2 99 21.213 21.213 1 1
30 -19.696 3.473 2 2 65 -51.423 61.284 2 2 100 17.207 24.575 1 1
31 -19.696 -3.473 2 2 66 -78.785 13.892 2 2 101 12.679 27.189 1 1
32 -12.856 -15.321 2 2 67 -78.785 -13.892 2 2 102 7.765 28.978 1 1
33 -6.840 -18.794 2 2 68 -51.423 -61.284 2 2 103 -7.765 28.978 1 1
34 6.840 -18.794 2 2 69 -27.362 -75.175 2 2 104 -12.679 27.189 1 1
(cont.)
883
Table C.19 continued.
No. x y q f No. x y q f No. x y q f
105 -17.207 24.575 1 1 127 -18.117 67.615 1 1 149 46.488 99.694 1 1
106 -21.213 21.213 1 1 128 -29.583 63.422 1 1 150 28.470 106.252 1 1
107 -28.978 7.765 1 1 129 -40.150 57.341 1 1 151 -28.470 106.252 1 1
108 -29.886 2.615 1 1 130 -49.497 49.497 1 1 152 -46.488 99.694 1 1
109 -29.886 -2.615 1 1 131 -67.615 18.117 1 1 153 -63.093 90.107 1 1
110 -28.978 -7.765 1 1 132 -69.734 6.101 1 1 154 -77.782 77.782 1 1
111 -21.213 -21.213 1 1 133 -69.734 -6.101 1 1 155 -106.252 28.470 1 1
112 -17.207 -24.575 1 1 134 -67.615 -18.117 1 1 156 -109.581 9.587 1 1
113 -12.679 -27.189 1 1 135 -49.497 -49.497 1 1 157 -109.581 -9.587 1 1
114 -7.765 -28.978 1 1 136 -40.150 -57.341 1 1 158 -106.252 -28.470 1 1
115 7.765 -28.978 1 1 137 -29.583 -63.442 1 1 159 -77.782 -77.782 1 1
116 12.679 -27.189 1 1 138 -18.117 -67.615 1 1 160 -63.093 -90.107 1 1
117 17.207 -24.575 1 1 139 18.117 -67.615 1 1 161 -46.488 -99.694 1 1
118 21.213 -21.213 1 1 140 29.583 -63.442 1 1 162 -28.470 -106.252 1 1
119 28.978 -7.765 1 1 141 40.150 -57.341 1 1 163 28.470 -106.252 1 1
120 29.886 -2.615 1 1 142 49.497 -49.497 1 1 164 46.488 -99.694 1 1
121 69.734 6.101 1 1 143 67.615 -18.117 1 1 165 63.093 -90.107 1 1
122 67.615 18.117 1 1 144 69.743 -6.101 1 1 166 77.782 -77.782 1 1
123 49.497 49.497 1 1 145 109.581 9.587 1 1 167 106.252 -28.470 1 1
124 40.150 57.341 1 1 146 106.252 28.470 1 1 168 109.581 -9.587 1 1
125 29.583 63.442 1 1 147 77.782 77.782 1 1
126 18.117 67.615 1 1 148 63.093 90.107 1 1
884
Table C.20: Node locations, demands, and frequencies for P24?P26.
No. x y q1 q2 q3 f No. x y q1 q2 q3 f
0 0.000 0.000 0 0 0 0 26 -67.169 27.887 2 2 2 1
1 57.735 0.000 4 5 5 6 27 -77.169 22.113 2 2 2 1
2 28.867 50.000 4 5 5 6 28 -77.169 -22.113 2 2 2 1
3 -28.868 50.000 4 5 5 6 29 -67.169 -27.887 2 2 2 1
4 -57.735 0.000 4 5 5 6 30 -57.735 -44.226 2 2 2 1
5 -28.867 -50.000 4 5 5 6 31 -57.735 -55.774 2 2 2 1
6 28.867 -50.000 4 5 5 6 32 -9.434 -72.113 2 2 2 1
7 86.603 50.000 3 2 3 2 33 -19.434 -77.887 2 2 2 1
8 0.000 100.000 3 2 3 2 34 9.434 -72.113 2 2 2 1
9 -86.603 50.000 3 2 3 2 35 19.434 -77.887 2 2 2 1
10 -86.603 -50.000 3 2 3 2 36 57.735 -44.226 2 2 2 1
11 0.000 -100.000 3 2 3 2 37 57.735 -55.774 2 2 2 1
12 86.603 -50.000 3 2 3 2 38 77.169 -22.113 2 2 2 1
13 0.000 40.000 3 2 3 2 39 67.169 -27.887 2 2 2 1
14 -34.641 -20.000 3 2 3 2 40 13.434 47.887 2 2 2 1
15 34.461 -20.000 3 2 3 2 41 15.434 42.113 2 2 2 1
16 67.169 27.887 2 2 2 1 42 -13.434 47.887 2 2 2 1
17 77.169 22.113 2 2 2 1 43 -15.434 42.113 2 2 2 1
18 57.735 55.773 2 2 2 1 44 -44.188 -7.691 2 2 2 1
19 57.735 44.226 2 2 2 1 45 -48.188 -12.309 2 2 2 1
20 19.434 77.887 2 2 2 1 46 -28.754 -34.423 2 2 2 1
21 9.434 72.113 2 2 2 1 47 -34.754 -35.577 2 2 2 1
22 -19.434 77.887 2 2 2 1 48 28.754 -34.423 2 2 2 1
23 -9.434 72.113 2 2 2 1 49 34.754 -35.577 2 2 2 1
24 -57.735 55.773 2 2 2 1 50 44.188 -7.691 2 2 2 1
25 -57.735 44.226 2 2 2 1 51 48.188 -12.309 2 2 2 1
Note: demands are denoted by q1 for P24, q2 for P25, and q3 for P26.
885
Table C.21: Node locations, demands, and frequencies for P27?P29.
No. x y q1 q2 q3 f No. x y q1 q2 q3 f
0 0.000 0.000 0 0 0 0 35 19.434 77.887 2 2 2 1
1 57.735 0.000 4 5 5 6 36 9.434 72.113 2 2 2 1
2 28.867 50.000 4 5 5 6 37 -19.434 77.887 2 2 2 1
3 -28.868 50.000 4 5 5 6 38 -9.434 72.113 2 2 2 1
4 -57.735 0.000 4 5 5 6 39 -57.735 55.773 2 2 2 1
5 -28.867 -50.000 4 5 5 6 40 -57.735 44.226 2 2 2 1
6 28.867 -50.000 4 5 5 6 41 -67.169 27.887 2 2 2 1
7 288.675 0.000 4 5 5 6 42 -77.169 22.113 2 2 2 1
8 144.337 250.000 4 5 5 6 43 -77.169 -22.113 2 2 2 1
9 -144.338 250.000 4 5 5 6 44 -67.169 -27.887 2 2 2 1
10 -288.675 0.000 4 5 5 6 45 -57.735 -44.226 2 2 2 1
11 -144.337 -250.000 4 5 5 6 46 -57.735 -55.774 2 2 2 1
12 144.337 -250.000 4 5 5 6 47 -9.434 -72.113 2 2 2 1
13 86.603 50.000 3 2 3 2 48 -19.434 -77.887 2 2 2 1
14 0.000 100.000 3 2 3 2 49 9.434 -72.113 2 2 2 1
15 -86.603 50.000 3 2 3 2 50 19.434 -77.887 2 2 2 1
16 -86.603 -50.000 3 2 3 2 51 57.735 -44.226 2 2 2 1
17 0.000 -100.000 3 2 3 2 52 57.735 -55.774 2 2 2 1
18 86.603 -50.000 3 2 3 2 53 77.169 -22.113 2 2 2 1
19 0.000 40.000 3 2 3 2 54 67.169 -27.887 2 2 2 1
20 -34.641 -20.000 3 2 3 2 55 13.434 47.887 2 2 2 1
21 34.461 -20.000 3 2 3 2 56 15.434 42.113 2 2 2 1
22 433.013 250.000 3 2 3 2 57 -13.434 47.887 2 2 2 1
23 0.000 500.000 3 2 3 2 58 -15.434 42.113 2 2 2 1
24 -433.013 250.000 3 2 3 2 59 -44.188 -7.691 2 2 2 1
25 -433.013 -250.000 3 2 3 2 60 -48.188 -12.309 2 2 2 1
26 0.000 -500.000 3 2 3 2 61 -28.754 -34.423 2 2 2 1
27 433.013 -250.000 3 2 3 2 62 -34.754 -35.577 2 2 2 1
28 0.000 200.000 3 2 3 2 63 28.754 -34.423 2 2 2 1
29 -173.205 -100.000 3 2 3 2 64 34.754 -35.577 2 2 2 1
30 173.205 -100.000 3 2 3 2 65 44.188 -7.691 2 2 2 1
31 67.169 27.887 2 2 2 1 66 48.188 -12.309 2 2 2 1
32 77.169 22.113 2 2 2 1 67 335.844 139.434 2 2 2 1
33 57.735 55.773 2 2 2 1 68 385.844 110.566 2 2 2 1
34 57.735 44.226 2 2 2 1 69 288.675 278.867 2 2 2 1
(cont.)
886
Table C.21 continued.
No. x y q1 q2 q3 f No. x y q1 q2 q3 f
70 288.675 221.132 2 2 2 1 87 288.675 -221.132 2 2 2 1
71 97.169 389.434 2 2 2 1 88 288.675 -278.868 2 2 2 1
72 47.169 360.566 2 2 2 1 89 385.844 -110.566 2 2 2 1
73 -97.169 389.434 2 2 2 1 90 335.884 -139.434 2 2 2 1
74 -47.169 360.566 2 2 2 1 91 67.169 239.434 2 2 2 1
75 -288.675 278.867 2 2 2 1 92 77.169 210.566 2 2 2 1
76 -288.675 221.132 2 2 2 1 93 -67.169 239.434 2 2 2 1
77 -335.844 139.434 2 2 2 1 94 -77.169 210.566 2 2 2 1
78 -385.844 110.566 2 2 2 1 95 -220.940 -38.453 2 2 2 1
79 -385.844 -110.566 2 2 2 1 96 -240.940 -61.547 2 2 2 1
80 -335.844 -139.434 2 2 2 1 97 -143.771 -172.113 2 2 2 1
81 -288.675 -221.132 2 2 2 1 98 -173.771 -177.887 2 2 2 1
82 -288.675 -278.868 2 2 2 1 99 143.771 -172.113 2 2 2 1
83 -47.169 -360.566 2 2 2 1 100 173.771 -177.887 2 2 2 1
84 -97.169 -389.434 2 2 2 1 101 220.940 -38.453 2 2 2 1
85 47.169 -360.566 2 2 2 1 102 240.940 -61.547 2 2 2 1
86 97.169 -389.434 2 2 2 1
Note: demands are denoted by q1 for P27, q2 for P28, and q3 for P29.
887
Table C.22: Node locations, demands, and frequencies for P30?P32.
No. x y q1 q2 q3 f No. x y q1 q2 q3 f
0 0.000 0.000 0 0 0 0 35 -173.205 -100.000 3 2 3 2
1 57.735 0.000 4 5 5 6 36 173.205 -100.000 3 2 3 2
2 28.867 50.000 4 5 5 6 37 1299.038 750.000 3 2 3 2
3 -28.868 50.000 4 5 5 6 38 0.000 1500.000 3 2 3 2
4 -57.735 0.000 4 5 5 6 39 -1299.038 750.000 3 2 3 2
5 -28.867 -50.000 4 5 5 6 40 -1299.038 -750.000 3 2 3 2
6 28.867 -50.000 4 5 5 6 41 0.000 -1500.000 3 2 3 2
7 288.675 0.000 4 5 5 6 42 1299.038 -750.000 3 2 3 2
8 144.337 250.000 4 5 5 6 43 0.000 600.000 3 2 3 2
9 -144.338 250.000 4 5 5 6 44 -519.615 -300.000 3 2 3 2
10 -288.675 0.000 4 5 5 6 45 519.615 -300.000 3 2 3 2
11 -144.337 -250.000 4 5 5 6 46 67.169 27.887 2 2 2 1
12 144.337 -250.000 4 5 5 6 47 77.169 22.113 2 2 2 1
13 866.025 0.000 4 5 5 6 48 57.735 55.773 2 2 2 1
14 433.012 750.000 4 5 5 6 49 57.735 44.226 2 2 2 1
15 -433.013 750.000 4 5 5 6 50 19.434 77.887 2 2 2 1
16 -866.025 0.000 4 5 5 6 51 9.434 72.113 2 2 2 1
17 -433.012 -750.000 4 5 5 6 52 -19.434 77.887 2 2 2 1
18 433.012 -750.000 4 5 5 6 53 -9.434 72.113 2 2 2 1
19 86.603 50.000 3 2 3 2 54 -57.735 55.773 2 2 2 1
20 0.000 100.000 3 2 3 2 55 -57.735 44.226 2 2 2 1
21 -86.603 50.000 3 2 3 2 56 -67.169 27.887 2 2 2 1
22 -86.603 -50.000 3 2 3 2 57 -77.169 22.113 2 2 2 1
23 0.000 -100.000 3 2 3 2 58 -77.169 -22.113 2 2 2 1
24 86.603 -50.000 3 2 3 2 59 -67.169 -27.887 2 2 2 1
25 0.000 40.000 3 2 3 2 60 -57.735 -44.226 2 2 2 1
26 -34.641 -20.000 3 2 3 2 61 -57.735 -55.774 2 2 2 1
27 34.461 -20.000 3 2 3 2 62 -9.434 -72.113 2 2 2 1
28 433.013 250.000 3 2 3 2 63 -19.434 -77.887 2 2 2 1
29 0.000 500.000 3 2 3 2 64 9.434 -72.113 2 2 2 1
30 -433.013 250.000 3 2 3 2 65 19.434 -77.887 2 2 2 1
31 -433.013 -250.000 3 2 3 2 66 57.735 -44.226 2 2 2 1
32 0.000 -500.000 3 2 3 2 67 57.735 -55.774 2 2 2 1
33 433.013 -250.000 3 2 3 2 68 77.169 -22.113 2 2 2 1
34 0.000 200.000 3 2 3 2 69 67.169 -27.887 2 2 2 1
(cont.)
888
Table C.22 continued.
No. x y q1 q2 q3 f No. x y q1 q2 q3 f
70 13.434 47.887 2 2 2 1 105 335.884 -139.434 2 2 2 1
71 15.434 42.113 2 2 2 1 106 67.169 239.434 2 2 2 1
72 -13.434 47.887 2 2 2 1 107 77.169 210.566 2 2 2 1
73 -15.434 42.113 2 2 2 1 108 -67.169 239.434 2 2 2 1
74 -44.188 -7.691 2 2 2 1 109 -77.169 210.566 2 2 2 1
75 -48.188 -12.309 2 2 2 1 110 -220.940 -38.453 2 2 2 1
76 -28.754 -34.423 2 2 2 1 111 -240.940 -61.547 2 2 2 1
77 -34.754 -35.577 2 2 2 1 112 -143.771 -172.113 2 2 2 1
78 28.754 -34.423 2 2 2 1 113 -173.771 -177.887 2 2 2 1
79 34.754 -35.577 2 2 2 1 114 143.771 -172.113 2 2 2 1
80 44.188 -7.691 2 2 2 1 115 173.771 -177.887 2 2 2 1
81 48.188 -12.309 2 2 2 1 116 220.940 -38.453 2 2 2 1
82 335.844 139.434 2 2 2 1 117 240.940 -61.547 2 2 2 1
83 385.844 110.566 2 2 2 1 118 1007.532 418.301 2 2 2 1
84 288.675 278.867 2 2 2 1 119 1157.531 331.699 2 2 2 1
85 288.675 221.132 2 2 2 1 120 866.025 836.602 2 2 2 1
86 97.169 389.434 2 2 2 1 121 866.025 663.397 2 2 2 1
87 47.169 360.566 2 2 2 1 122 291.506 1168.301 2 2 2 1
88 -97.169 389.434 2 2 2 1 123 141.506 1081.699 2 2 2 1
89 -47.169 360.566 2 2 2 1 124 -291.506 1168.301 2 2 2 1
90 -288.675 278.867 2 2 2 1 125 -141.506 1081.698 2 2 2 1
91 -288.675 221.132 2 2 2 1 126 -866.025 836.602 2 2 2 1
92 -335.844 139.434 2 2 2 1 127 -866.025 663.397 2 2 2 1
93 -385.844 110.566 2 2 2 1 128 -1007.532 418.301 2 2 2 1
94 -385.844 -110.566 2 2 2 1 129 -1157.531 331.699 2 2 2 1
95 -335.844 -139.434 2 2 2 1 130 -1157.531 -331.699 2 2 2 1
96 -288.675 -221.132 2 2 2 1 131 -1007.532 -418.301 2 2 2 1
97 -288.675 -278.868 2 2 2 1 132 -866.025 -663.397 2 2 2 1
98 -47.169 -360.566 2 2 2 1 133 -866.025 -836.602 2 2 2 1
99 -97.169 -389.434 2 2 2 1 134 -141.506 -1081.698 2 2 2 1
100 47.169 -360.566 2 2 2 1 135 -291.506 -1168.301 2 2 2 1
101 97.169 -389.434 2 2 2 1 136 141.506 -1081.698 2 2 2 1
102 288.675 -221.132 2 2 2 1 137 291.506 -1168.301 2 2 2 1
103 288.675 -278.868 2 2 2 1 138 866.025 -663.397 2 2 2 1
104 385.844 -110.566 2 2 2 1 139 866.025 -836.603 2 2 2 1
(cont.)
889
Table C.22 continued.
No. x y q1 q2 q3 f No. x y q1 q2 q3 f
140 1157.531 -331.699 2 2 2 1 147 -722.820 -184.641 2 2 2 1
141 1007.531 -418.301 2 2 2 1 148 -431.314 -516.340 2 2 2 1
142 201.506 718.301 2 2 2 1 149 -521.314 -533.660 2 2 2 1
143 231.506 631.699 2 2 2 1 150 431.314 -516.339 2 2 2 1
144 -201.506 718.301 2 2 2 1 151 521.314 -533.660 2 2 2 1
145 -231.506 631.699 2 2 2 1 152 662.820 -115.359 2 2 2 1
146 -662.820 -115.359 2 2 2 1 153 722.820 -184.641 2 2 2 1
Note: demands are denoted by q1 for P30, q2 for P31, and q3 for P32.
890
Table C.23: IPH solution to P1.
Day 1
No. Route Load Distance
1 0 8 26 31 28 3 36 35 20 22 1 32 0 149 118.52
2 0 12 37 44 15 45 33 39 10 49 5 46 0 160 99.25
Day 2
No. Route Load Distance
1 0 6 14 25 24 43 7 23 48 27 0 152 98.45
2 0 11 2 29 21 16 50 34 30 9 38 0 159 99.33
3 0 18 13 41 40 19 42 17 4 47 0 157 109.06
Total Distance 524.61
891
Table C.24: IPH solution to P2.
Day 1
No. Route Load Distance
1 0 1 22 2 20 29 34 50 16 11 0 149 103.08
2 0 6 14 25 24 43 7 23 48 27 0 152 98.45
3 0 12 17 44 42 40 41 18 0 136 97.56
Day 2
No. Route Load Distance
1 0 8 31 28 3 36 35 20 2 32 0 157 105.73
2 0 12 15 45 33 39 30 34 9 38 0 157 103.30
3 0 18 25 13 41 4 47 0 153 79.23
Day 3
No. Route Load Distance
1 0 11 2 20 16 34 49 5 0 157 100.79
2 0 6 14 25 43 7 23 48 27 0 142 98.12
3 0 12 37 44 42 19 41 18 0 144 81.46
Day 4
No. Route Load Distance
1 0 8 26 31 28 3 35 20 2 32 0 158 105.66
2 0 12 33 39 10 30 34 9 38 46 0 147 106.66
3 0 18 25 13 41 47 0 144 79.18
Day 5
No. Route Load Distance
1 0 2 20 21 34 49 5 12 0 160 98.34
2 0 18 41 25 0 96 76.53
Total Distance 1334.11
892
Table C.25: IPH solution to P3.
Day 1
No. Route Load Distance
1 0 12 37 44 15 45 33 39 10 49 5 46 0 160 99.25
Day 2
No. Route Load Distance
1 0 18 13 41 40 19 42 17 4 47 0 157 109.06
Day 3
No. Route Load Distance
1 0 6 14 25 24 43 7 23 48 27 0 152 98.45
Day 4
No. Route Load Distance
1 0 8 26 31 28 3 36 35 20 22 1 32 0 149 118.52
Day 5
No. Route Load Distance
1 0 11 2 29 21 16 50 34 30 9 38 0 159 99.33
Total Distance 524.61
Table C.26: IPH solution to P4.
Day 1
No. Route Load Distance
1 0 4 52 46 34 67 0 125 34.56
2 0 6 33 1 73 62 2 75 0 134 59.46
3 0 7 35 8 19 54 13 57 15 29 45 0 140 89.77
4 0 11 65 31 10 58 26 0 136 95.72
5 0 12 72 39 25 55 50 18 24 49 16 0 140 118.63
Day 2
No. Route Load Distance
1 0 17 3 44 32 9 40 0 138 59.40
2 0 22 64 42 43 41 56 23 63 51 0 139 111.41
3 0 27 5 37 20 70 60 71 69 36 47 0 140 108.48
4 0 30 48 21 61 28 74 68 0 134 77.85
5 0 38 66 59 14 53 0 138 94.15
Total Distance 849.44
893
Table C.27: IPH solution to P5.
Day 1
No. Route Load Distance
1 0 4 67 0 60 19.46
2 0 7 14 66 11 26 0 138 80.81
3 0 40 9 25 55 18 32 51 0 136 97.58
4 0 62 64 61 21 28 75 0 138 109.30
Day 2
No. Route Load Distance
1 0 11 66 59 14 35 0 139 90.26
2 0 12 72 39 9 31 10 58 0 134 87.38
3 0 16 24 50 32 40 0 129 80.64
4 0 2 28 22 64 43 1 73 0 137 94.44
5 0 30 74 21 5 37 20 15 57 0 139 98.47
6 0 67 46 34 4 0 106 27.76
Day 3
No. Route Load Distance
1 0 62 64 41 56 23 33 6 0 139 104.63
2 0 67 4 0 60 19.46
3 0 8 14 19 54 13 27 52 0 126 80.45
4 0 17 44 32 9 40 0 127 57.01
5 0 26 38 66 11 53 0 138 76.58
6 0 75 28 21 47 48 45 0 137 70.08
Day 4
No. Route Load Distance
1 0 5 20 70 60 71 36 69 21 30 0 140 105.56
2 0 11 66 59 14 0 129 90.13
3 0 12 39 9 31 10 58 0 133 83.68
4 0 16 49 24 50 32 40 0 134 81.27
5 0 68 2 28 64 42 43 1 0 140 93.70
6 0 67 46 34 4 0 106 27.76
Day 5
No. Route Load Distance
1 0 4 45 29 48 47 21 0 131 64.96
2 0 6 33 63 56 64 28 0 140 108.04
3 0 17 3 44 32 9 40 0 138 59.40
4 0 38 65 66 11 53 0 129 77.16
5 0 52 27 54 14 8 67 0 129 78.64
Total Distance 2064.62
894
Table C.28: IPH solution to P6.
Day 1
No. Route Load Distance
1 0 35 14 59 11 53 7 0 139 84.34
Day 2
No. Route Load Distance
1 0 12 72 31 25 55 18 50 44 3 51 0 138 119.32
Day 3
No. Route Load Distance
1 0 5 37 20 70 60 71 36 47 48 0 135 94.14
Day 4
No. Route Load Distance
1 0 2 28 61 69 21 74 30 0 138 88.71
Day 5
No. Route Load Distance
1 0 26 58 10 38 65 66 0 135 81.63
Day 6
No. Route Load Distance
1 0 6 33 63 23 56 24 49 16 0 140 92.69
Day 7
No. Route Load Distance
1 0 17 40 32 9 39 0 126 57.01
Day 8
No. Route Load Distance
1 0 15 57 13 54 19 8 46 67 0 138 80.40
Day 9
No. Route Load Distance
1 0 68 62 22 64 42 41 43 1 73 0 136 94.63
Day 10
No. Route Load Distance
1 0 34 52 27 29 45 4 75 0 139 47.07
Total Distance 839.93
895
Table C.29: IPH solution to P7.
Day 1
No. Route Load Distance
1 0 12 80 68 24 29 34 78 79 3 77 76 28 0 169 90.26
2 0 26 4 56 23 67 39 25 55 54 0 153 107.08
3 0 50 33 81 51 9 35 71 65 66 20 30 70 1 69 0 195 126.90
4 0 53 40 21 73 72 74 75 22 41 15 43 42 57 2 58 0 169 100.15
Day 2
No. Route Load Distance
1 0 6 96 99 61 16 86 38 14 44 91 100 37 92 95 0 192 100.27
2 0 13 87 97 98 85 93 59 94 0 189 55.57
3 0 27 31 10 32 90 63 64 49 19 11 62 88 0 191 124.84
4 0 52 7 82 48 47 36 46 8 45 17 84 5 60 83 18 89 0 200 124.38
Total Distance 829.44
896
Table C.30: IPH solution to P8.
Day 1
No. Route Load Distance
1 0 5 83 45 46 36 49 47 48 88 31 0 188 121.50
2 0 40 73 74 75 23 39 25 55 24 29 34 81 68 0 200 137.07
3 0 87 44 86 16 85 59 94 0 194 79.82
Day 2
No. Route Load Distance
1 0 6 96 59 93 85 100 98 92 97 95 94 0 193 56.58
2 0 13 87 42 15 43 14 38 86 61 5 89 0 194 114.81
3 0 18 82 48 47 49 19 62 31 0 184 96.31
4 0 26 4 39 67 23 72 21 58 53 0 189 95.12
5 0 28 12 68 77 3 79 81 33 50 0 171 68.12
Day 3
No. Route Load Distance
1 0 5 16 86 44 91 85 59 94 0 195 79.01
2 0 27 70 30 32 66 65 71 9 34 78 81 76 0 197 134.70
3 0 31 10 11 64 49 47 48 8 45 83 60 0 196 127.23
4 0 68 54 39 23 75 22 2 87 0 183 107.56
Day 4
No. Route Load Distance
1 0 5 61 86 38 14 100 37 97 87 13 0 196 100.72
2 0 26 4 39 67 23 56 72 21 58 53 0 195 96.01
3 0 28 12 68 77 3 79 81 33 50 0 171 68.12
4 0 31 62 19 49 47 48 82 18 89 0 199 97.31
5 0 94 95 59 85 93 99 96 0 158 47.75
Day 5
No. Route Load Distance
1 0 1 51 81 9 35 71 65 66 20 30 69 27 0 182 122.16
2 0 5 84 17 86 85 59 94 0 166 78.77
3 0 31 10 32 90 63 11 49 47 48 7 52 0 198 114.21
4 0 76 68 80 54 39 23 22 41 57 87 0 189 111.39
Total Distance 2054.25
897
Table C.31: IPH solution to P9.
Day 1
No. Route Load Distance
1 0 27 31 10 32 90 63 64 49 19 11 62 88 0 191 124.84
Day 2
No. Route Load Distance
1 0 50 33 81 51 9 35 71 65 66 20 30 70 1 69 0 195 126.90
Day 3
No. Route Load Distance
1 0 52 7 82 48 47 36 46 8 45 17 84 5 60 83 18 89 0 200 124.38
Day 4
No. Route Load Distance
1 0 53 40 21 73 72 74 75 22 41 15 43 42 57 2 58 0 169 100.15
Day 5
No. Route Load Distance
1 0 6 96 99 61 16 86 38 14 44 91 100 37 92 95 0 192 100.27
Day 6
No. Route Load Distance
1 0 12 80 68 24 29 34 78 79 3 77 76 28 0 169 90.26
Day 7
No. Route Load Distance
1 0 13 87 97 98 85 93 59 94 0 189 55.57
Day 8
No. Route Load Distance
1 0 26 4 56 23 67 39 25 55 54 0 153 107.08
Total Distance 829.44
898
Table C.32: IPH solution to P10.
Day 1
No. Route Load Distance
1 0 94 96 59 93 85 98 97 87 13 0 200 56.90
2 0 26 21 72 56 39 23 75 22 73 58 53 0 196 89.76
3 0 27 31 70 30 32 66 65 71 9 81 0 194 120.45
Day 2
No. Route Load Distance
1 0 12 68 29 24 54 55 25 67 23 39 4 0 197 130.09
2 0 31 10 62 19 49 36 47 48 82 0 193 104.38
3 0 92 37 14 44 38 86 16 61 5 60 89 0 175 101.94
Day 3
No. Route Load Distance
1 0 6 96 99 59 93 85 100 97 95 94 0 190 56.02
2 0 18 83 45 8 7 11 63 90 32 66 20 30 1 69 27 0 188 139.57
3 0 28 26 21 72 75 22 41 87 13 58 53 0 191 83.35
4 0 50 33 81 51 9 71 65 35 34 78 79 3 77 76 0 199 118.79
Day 4
No. Route Load Distance
1 0 2 57 15 43 14 44 38 86 16 61 5 89 0 191 117.12
2 0 12 68 80 54 4 39 67 23 74 40 0 200 109.46
3 0 31 10 62 19 49 47 48 82 52 0 197 101.03
Day 5
No. Route Load Distance
1 0 18 83 5 84 17 45 46 48 47 49 64 11 88 0 198 148.18
2 0 28 76 77 68 3 79 34 81 33 50 0 179 82.86
3 0 87 42 100 91 86 85 59 95 94 0 200 85.53
Total Distance 1645.42
899
Table C.33: IPH solution to P11.
Day 1
No. Route Load Distance
1 0 16 35 73 90 26 124 112 33 123 37 105 0 222 18.22
2 0 38 27 48 1 8 30 9 115 56 110 18 58 31 94 93 0 227 75.88
3 0 68 39 25 15 96 121 29 3 4 6 95 0 231 30.26
4 0 87 24 23 11 20 107 80 21 10 13 12 83 2 120 0 235 74.61
Day 2
No. Route Load Distance
1 0 16 130 7 5 127 28 79 8 60 113 128 0 234 52.86
2 0 34 17 85 2 82 22 13 81 10 64 32 118 66 97 14 86 0 196 76.62
Day 3
No. Route Load Distance
1 0 15 29 128 131 19 74 33 0 233 28.46
2 0 36 7 1 5 52 53 78 9 77 57 31 59 116 67 88 0 228 77.05
3 0 70 17 2 12 109 108 40 65 21 20 11 61 125 24 41 104 0 224 56.09
Day 4
No. Route Load Distance
1 0 6 130 75 54 5 1 9 30 114 8 18 128 0 235 63.31
2 0 16 38 35 37 91 25 51 89 39 0 183 19.07
3 0 102 98 2 12 22 13 106 10 32 63 117 11 62 23 119 14 71 103 0 225 75.05
Day 5
No. Route Load Distance
1 0 26 6 36 7 126 5 1 28 76 55 129 0 230 47.38
2 0 15 122 19 4 111 92 47 50 69 27 49 0 235 38.01
3 0 34 84 17 99 2 44 43 45 72 100 46 14 42 101 0 201 48.82
Total Distance 781.68
900
Table C.34: IPH solution to P12.
Day 1
No. Route Load Distance
1 0 48 76 77 78 79 80 45 44 43 31 32 34 33 14 10 36 111 0 138 150.07
2 0 116 9 8 137 114 115 145 0 140 81.17
3 0 132 151 148 144 143 142 141 140 1 2 3 4 7 5 146 161 162 163 0 140 110.68
Day 2
No. Route Load Distance
1 0 103 72 73 62 61 60 57 59 58 10 15 112 113 117 118 127 0 138 120.30
2 0 114 137 138 139 0 139 76.87
Day 3
No. Route Load Distance
1 0 104 100 99 98 97 92 93 63 87 86 85 84 64 65 54 53 51 48 140 102.2746 47 43 42 132 0
2 0 105 11 12 13 19 20 21 26 25 5 3 147 150 153 0 140 142.73
Day 4
No. Route Load Distance
1 0 103 81 72 74 71 67 66 55 56 41 35 10 37 38 108 107 40 109 0 133 121.88
2 0 128 114 137 138 0 139 76.94
Day 5
No. Route Load Distance
1 0 91 90 106 39 16 29 17 30 28 18 27 22 23 24 25 6 5 160 140 147.19135 0
2 0 94 95 110 96 97 89 88 83 82 69 68 70 52 50 49 48 75 72 133 73.31102 101 0
3 0 136 132 159 152 153 150 149 123 120 122 121 124 119 126 125 154 157 158 137 62.97155 156 129 130 131 133 134 0
Total Distance 1266.39
901
Table C.35: IPH solution to P13.
Day 1
No. Route Load Distance
1 0 18 28 48 82 417 416 105 33 21 0 1999 54.12
2 0 12 25 101 119 20 15 16 0 1849 37.87
3 0 34 60 115 61 63 144 303 0 1985 36.83
4 0 37 383 371 406 377 367 374 364 252 39 0 1963 46.83
5 0 67 133 165 164 155 149 0 1994 59.67
6 0 72 111 336 338 344 102 94 0 1989 93.16
7 0 170 152 167 159 162 157 156 146 184 0 1995 62.78
8 0 195 248 214 193 192 226 233 300 0 1915 20.62
9 0 262 241 251 244 317 263 277 0 1984 69.53
Day 2
No. Route Load Distance
1 0 3 128 51 127 26 0 1526 20.76
2 0 7 76 35 171 168 151 148 73 19 0 2000 80.88
3 0 10 77 121 13 30 116 71 0 1690 36.62
4 0 11 120 139 66 41 123 0 1547 37.01
5 0 23 31 379 385 1 45 43 0 1946 64.22
6 0 194 293 196 227 220 289 213 190 284 0 1967 22.65
7 0 218 269 266 174 188 180 178 304 0 1880 30.64
8 0 350 331 349 343 395 409 396 0 1885 114.72
Day 3
No. Route Load Distance
1 0 2 55 32 74 113 6 85 0 1860 68.02
2 0 4 141 5 52 57 29 93 0 1856 57.94
3 0 27 109 143 402 389 380 137 0 1963 53.07
4 0 75 17 154 36 166 153 147 0 1990 73.12
5 0 130 9 24 89 335 334 351 341 0 1951 98.53
6 0 187 234 307 216 274 199 198 281 0 1968 36.04
7 0 242 243 318 305 253 306 250 0 1837 61.71
8 0 271 254 259 309 215 186 312 0 1964 47.32
(cont.)
902
Table C.35 continued.
Day 4
No. Route Load Distance
1 0 122 8 21 33 91 22 64 0 1960 50.51
2 0 14 97 357 40 359 353 134 0 1995 78.53
3 0 16 98 25 20 15 86 99 34 0 1988 43.55
4 0 59 78 117 65 140 135 0 1852 44.01
5 0 142 124 28 18 38 37 268 203 183 0 1937 39.89
6 0 175 308 235 225 228 182 0 1475 17.34
7 0 229 232 209 197 208 200 219 207 310 0 1977 25.13
8 0 285 272 230 176 296 201 282 0 1506 40.64
9 0 260 283 287 311 299 264 0 1808 41.17
Day 5
No. Route Load Distance
1 0 3 88 100 81 108 12 0 1774 39.16
2 0 42 221 179 316 315 0 1500 12.01
3 0 58 163 158 169 161 160 278 0 1821 74.11
4 0 103 23 31 388 405 398 384 390 0 1993 106.74
5 0 206 217 204 210 237 236 202 290 212 238 0 1990 25.90
6 0 265 302 256 301 295 211 279 0 1950 60.54
7 0 297 386 382 399 373 369 363 381 0 1960 61.34
8 0 313 314 39 249 401 414 375 372 387 0 1990 41.78
9 0 345 348 320 325 323 328 327 342 352 0 1979 187.35
Day 6
No. Route Load Distance
1 0 10 118 136 138 90 84 26 0 1936 37.77
2 0 11 106 19 150 36 172 35 7 104 0 1975 82.44
3 0 29 5 413 394 404 0 1905 110.61
4 0 30 13 27 80 46 1 47 49 0 1985 47.27
5 0 83 355 333 360 361 332 347 145 0 1935 146.87
6 0 87 126 125 131 53 92 0 1995 29.16
7 0 189 223 275 257 245 247 246 224 0 1956 29.18
(cont.)
903
Table C.35 continued.
Day 6
No. Route Load Distance
8 0 255 270 276 288 292 280 294 0 1920 28.39
9 0 322 324 326 329 319 321 330 358 0 1910 136.89
Day 7
No. Route Load Distance
1 0 4 356 354 362 339 340 337 9 0 1994 98.70
2 0 14 6 32 50 44 2 415 8 22 0 1827 68.19
3 0 17 95 69 112 70 68 114 24 0 1877 80.85
4 0 38 298 410 376 400 407 370 411 412 0 1970 59.37
5 0 96 40 397 403 393 392 408 346 0 1968 112.61
6 0 110 378 366 391 368 365 0 1962 67.52
7 0 129 79 62 54 107 56 132 0 1981 28.62
8 0 173 205 261 291 222 231 185 267 0 1915 28.64
9 0 177 181 191 258 239 273 240 286 0 1925 57.33
Total Distance 3624.77
Table C.36: IPH solution to P14.
Day 1
No. Route Load Distance
1 0 1 20 3 12 19 8 0 16 123.48
2 0 2 4 11 18 7 0 15 120.57
Day 2
No. Route Load Distance
1 0 1 13 3 9 14 5 0 16 123.48
2 0 2 4 10 6 0 14 115.22
Day 3
No. Route Load Distance
1 0 1 3 12 8 0 14 115.22
2 0 7 11 4 17 2 0 15 118.13
Day 4
No. Route Load Distance
1 0 1 3 9 5 0 14 115.22
2 0 2 16 4 10 15 6 0 16 123.48
Total Distance 954.81
904
Table C.37: IPH solution to P15.
Day 1
No. Route Load Distance
1 0 1 23 3 5 31 19 32 15 11 7 0 26 245.26
2 0 2 4 6 35 21 17 13 9 0 24 220.74
Day 2
No. Route Load Distance
1 0 1 3 5 38 22 18 14 29 10 0 25 226.10
2 0 2 26 4 6 34 20 16 12 25 8 0 26 229.01
Day 3
No. Route Load Distance
1 0 1 30 3 5 19 15 11 24 7 0 25 223.31
2 0 2 27 4 6 21 36 17 13 28 9 0 26 244.91
Day 4
No. Route Load Distance
1 0 1 3 5 22 37 18 14 10 0 24 236.65
2 0 2 4 6 20 33 16 12 8 0 24 236.65
Total Distance 1862.63
905
Table C.38: IPH solution to P16.
Day 1
No. Route Load Distance
1 0 1 40 3 48 5 7 56 32 55 28 24 47 20 16 39 12 0 38 403.39
2 0 2 36 4 44 6 8 30 26 22 18 14 35 10 0 35 337.71
Day 2
No. Route Load Distance
1 0 1 3 5 7 49 29 50 25 21 17 13 9 0 34 359.46
2 0 2 4 45 6 8 31 27 23 19 15 38 11 0 34 334.79
Day 3
No. Route Load Distance
1 0 1 33 3 5 7 32 28 24 20 16 12 0 33 318.34
2 0 2 37 4 6 8 52 30 51 26 22 43 18 14 10 0 36 383.97
Day 4
No. Route Load Distance
1 0 1 3 41 5 7 29 25 21 42 17 13 34 9 0 35 356.39
2 0 2 4 6 8 53 31 54 27 23 46 19 15 11 0 35 381.05
Total Distance 2875.10
906
Table C.39: IPH solution to P17.
Day 1
No. Route Load Distance
1 0 1 9 25 17 5 24 40 16 0 20 114.36
2 0 2 6 7 3 0 20 170.71
3 0 4 14 36 22 8 23 38 15 0 20 114.36
Day 2
No. Route Load Distance
1 0 1 5 8 4 0 20 170.71
2 0 2 11 30 19 6 18 27 10 0 20 114.30
3 0 13 34 21 7 20 31 12 3 0 20 114.36
Day 3
No. Route Load Distance
1 0 9 26 17 5 24 39 16 1 0 20 114.36
2 0 2 6 7 3 0 20 170.71
3 0 4 15 37 23 8 22 35 14 0 20 114.36
Day 4
No. Route Load Distance
1 0 1 5 8 4 0 20 170.71
2 0 2 10 28 18 6 19 29 11 0 20 114.35
3 0 3 12 32 20 7 21 33 13 0 20 114.36
Total Distance 1597.66
907
Table C.40: IPH solution to P18.
Day 1
No. Route Load Distance
1 0 1 45 5 9 44 75 36 28 59 20 0 26 203.65
2 0 2 49 6 10 39 66 31 23 50 15 0 26 203.64
3 0 3 7 11 41 33 25 54 17 0 24 195.78
4 0 4 56 8 12 42 34 26 55 18 0 25 196.54
Day 2
No. Route Load Distance
1 0 1 5 61 9 37 62 29 21 46 13 0 26 206.87
2 0 2 6 10 38 30 22 14 0 23 194.30
3 0 3 7 69 11 40 32 24 51 16 0 25 199.76
4 0 4 8 12 43 35 27 58 19 0 24 195.78
Day 3
No. Route Load Distance
1 0 1 60 5 9 44 36 28 20 0 24 195.06
2 0 2 48 6 65 10 39 31 23 15 0 25 199.04
3 0 3 53 7 11 41 70 33 25 17 0 25 202.17
4 0 4 57 8 72 12 42 71 34 26 18 0 26 206.15
Day 4
No. Route Load Distance
1 0 1 5 76 9 37 29 21 13 0 24 198.28
2 0 2 6 64 10 38 63 30 22 47 14 0 26 206.86
3 0 3 52 7 68 11 40 67 32 24 16 0 26 206.15
4 0 4 8 73 12 43 74 35 27 19 0 25 205.39
Total Distance 3215.43
908
Table C.41: IPH solution to P19.
Day 1
No. Route Load Distance
1 0 1 65 5 9 13 64 56 48 95 40 32 79 24 0 35 293.45
2 0 2 6 10 14 58 50 42 34 26 67 18 0 33 285.58
3 0 3 7 89 11 15 60 103 52 44 87 36 28 20 0 35 310.21
4 0 4 77 8 92 12 109 16 62 54 46 91 38 30 22 0 36 305.20
Day 2
No. Route Load Distance
1 0 1 80 5 96 9 97 13 57 98 49 41 82 33 25 66 17 0 38 321.71
2 0 2 68 6 85 10 100 14 59 102 51 43 35 27 70 19 0 37 314.60
3 0 3 72 7 11 15 61 106 53 45 90 37 29 74 21 0 36 308.48
4 0 4 76 8 12 108 16 63 110 55 47 39 31 23 0 35 309.18
Day 3
No. Route Load Distance
1 0 1 5 9 13 112 64 111 56 48 40 32 24 0 34 307.84
2 0 2 69 6 84 10 14 58 99 50 42 83 34 26 18 0 36 310.97
3 0 3 73 7 11 104 15 60 52 44 36 28 71 20 0 35 295.60
4 0 4 8 93 12 16 62 107 54 46 38 30 75 22 0 35 304.59
Day 4
No. Route Load Distance
1 0 1 5 81 9 13 57 49 41 33 25 17 0 33 288.08
2 0 2 6 10 101 14 59 51 43 86 35 27 19 0 34 300.46
3 0 3 7 88 11 105 15 61 53 45 37 29 21 0 34 297.34
4 0 4 8 12 16 63 55 47 94 39 31 78 23 0 34 292.69
Total Distance 4845.97
909
Table C.42: IPH solution to P20.
Day 1
No. Route Load Distance
1 0 1 5 121 9 13 168 17 21 97 89 81 154 73 65 138 57 49 122 56 532.0541 33 106 25 0
2 0 2 6 124 10 14 157 18 22 173 99 174 91 83 158 75 67 59 51 54 554.98126 43 35 0
3 0 3 7 11 145 15 19 23 176 100 175 92 84 76 68 143 60 52 127 56 536.7244 36 111 28 0
4 0 4 8 133 12 149 16 164 20 24 103 95 87 79 71 150 63 55 134 56 517.2847 39 118 31 0
Day 2
No. Route Load Distance
1 0 1 105 5 9 152 13 153 17 21 184 104 183 96 88 80 72 64 56 55 529.8748 40 32 0
2 0 27 6 10 140 14 18 22 172 98 90 82 74 66 139 58 50 123 42 57 504.9334 107 26 2 0
3 0 3 113 7 128 11 15 19 23 101 178 93 85 77 69 146 61 53 45 55 519.2437 114 29 0
4 0 4 116 8 12 16 20 24 180 102 179 94 86 163 78 70 62 54 46 54 528.6538 30 0
Day 3
No. Route Load Distance
1 0 1 5 136 9 13 17 21 169 97 170 89 81 73 65 57 49 41 33 53 507.8425 0
2 0 2 108 6 10 141 14 18 22 99 91 83 75 67 142 59 51 43 35 52 490.45110 0
3 0 3 112 7 11 15 161 19 23 100 92 84 159 76 68 60 52 44 36 53 505.2228 0
4 0 4 117 8 12 148 16 20 24 181 103 182 95 87 166 79 71 63 55 55 537.9347 39 31 0
Day 4
No. Route Load Distance
1 0 1 120 5 9 137 13 17 21 104 96 88 167 80 72 151 64 56 135 56 522.0848 40 119 32 0
2 0 2 27 109 6 125 10 14 156 18 22 98 171 90 82 155 74 66 58 57 543.8050 42 34 26 0
3 0 3 7 129 11 144 15 160 19 23 177 101 93 85 162 77 69 61 53 56 530.66130 45 37 29 0
4 0 4 8 132 12 16 165 20 24 102 94 86 78 70 147 62 54 131 46 55 508.0238 115 30 0
Total Distance 8369.72
910
Table C.43: IPH solution to P21.
Day 1
No. Route Load Distance
1 0 24 59 36 7 25 38 13 1 0 20 107.00
2 0 2 3 4 5 0 20 50.00
3 0 6 12 11 10 0 20 200.00
4 0 15 42 27 8 9 29 46 17 0 20 156.70
Day 2
No. Route Load Distance
1 0 1 7 26 8 40 14 0 20 152.29
2 0 2 43 28 9 16 3 0 20 107.94
3 0 4 19 50 31 10 30 48 18 0 20 107.00
4 0 5 20 51 32 11 33 53 21 0 20 107.01
5 0 6 22 56 34 12 35 58 23 0 20 107.00
Day 3
No. Route Load Distance
1 0 24 60 36 7 25 37 13 1 0 20 107.00
2 0 2 3 4 5 0 20 50.00
3 0 10 11 12 6 0 20 200.00
4 0 15 41 8 27 9 29 45 17 0 20 155.64
Day 4
No. Route Load Distance
1 0 1 7 8 26 39 14 0 20 153.35
2 0 2 28 9 44 16 3 0 20 107.94
3 0 4 19 49 31 10 30 47 18 0 20 107.00
4 0 5 20 52 32 11 33 54 21 0 20 107.01
5 0 6 22 55 34 12 35 57 23 0 20 107.00
Total Distance 2189.90
911
Table C.44: IPH solution to P22.
Day 1
No. Route Load Distance
1 0 1 30 90 7 54 113 66 13 55 43 31 68 0 30 204.22
2 0 2 20 70 8 14 57 45 33 21 0 26 188.66
3 0 3 23 76 35 9 47 15 58 97 46 34 73 0 30 201.81
4 0 4 24 78 36 10 48 102 16 61 49 37 80 0 30 198.43
5 0 5 27 83 39 11 51 17 62 105 50 38 81 0 30 201.83
6 0 6 28 86 40 52 110 18 65 111 53 12 29 0 30 199.24
Day 2
No. Route Load Distance
1 0 1 19 7 91 13 114 42 89 6 0 27 188.58
2 0 2 69 32 44 93 56 14 95 8 71 3 0 30 199.95
3 0 4 5 0 10 30.00
4 0 22 74 9 98 15 59 60 16 10 25 0 30 273.26
5 0 26 11 17 63 108 109 64 18 12 41 0 30 279.01
Day 3
No. Route Load Distance
1 0 1 31 43 92 55 13 66 54 7 30 0 28 203.67
2 0 2 20 8 14 57 96 45 33 21 0 26 192.09
3 0 3 34 46 58 15 99 47 9 35 23 0 28 197.22
4 0 4 79 37 49 104 61 16 48 10 36 77 24 0 30 201.59
5 0 5 82 38 50 62 17 107 51 11 39 84 27 0 30 198.19
6 0 6 28 85 40 52 18 65 112 53 12 87 29 0 30 199.21
Day 4
No. Route Load Distance
1 0 1 19 67 7 13 42 6 0 25 186.33
2 0 2 32 44 56 14 94 8 72 22 3 0 30 200.39
3 0 4 5 0 10 30.00
4 0 75 9 15 59 100 101 60 16 103 10 25 0 30 278.43
5 0 26 11 106 17 63 64 18 12 41 88 0 30 275.88
Total Distance 4327.96
912
Table C.45: IPH solution to P23.
Day 1
No. Route Load Distance
1 0 1 37 7 49 122 61 73 146 85 19 145 13 60 48 119 36 0 40 299.46
2 0 2 38 50 123 62 74 147 86 20 149 14 125 8 101 27 0 37 291.99
3 0 3 9 15 153 21 89 154 77 65 53 41 29 0 34 286.03
4 0 4 30 42 54 131 66 78 90 22 16 132 10 109 31 0 37 280.02
5 0 5 32 112 44 56 68 80 92 23 17 11 45 6 0 40 282.04
6 0 35 117 47 12 59 142 71 83 95 24 94 82 18 70 58 46 115 0 40 316.15
Day 2
No. Route Load Distance
1 0 1 26 8 14 20 87 75 63 126 51 39 2 0 38 283.68
2 0 3 105 9 129 15 21 88 76 64 52 40 28 0 34 276.12
3 0 4 108 10 133 16 22 91 158 79 67 134 55 43 5 0 39 291.70
4 0 6 34 116 12 143 72 84 167 96 19 13 121 7 97 25 0 40 316.25
5 0 33 11 57 69 17 81 161 23 93 163 164 24 165 18 141 0 40 428.65
Day 3
No. Route Load Distance
1 0 1 99 38 50 62 74 86 20 148 14 124 8 27 2 0 40 285.38
2 0 3 104 9 15 152 21 89 77 65 130 53 41 106 29 0 36 282.76
3 0 4 31 10 16 156 22 90 155 78 66 54 42 107 30 0 37 287.50
4 0 5 32 111 44 56 135 68 80 159 92 23 17 137 11 45 114 0 39 291.02
5 0 6 36 120 48 60 144 13 168 19 85 73 61 49 7 37 98 0 40 294.18
6 0 35 118 47 12 59 71 83 95 24 94 82 18 70 139 58 46 0 39 315.70
Day 4
No. Route Load Distance
1 0 1 26 100 8 14 20 87 150 75 63 51 39 102 2 0 40 288.72
2 0 3 9 128 15 21 88 151 76 64 127 52 40 103 28 0 36 287.57
3 0 4 10 16 157 22 91 79 67 55 43 110 5 0 37 282.76
4 0 6 34 57 138 69 81 162 93 23 160 17 136 11 113 33 0 37 298.58
5 0 12 140 18 24 166 84 96 19 13 72 7 25 0 40 417.03
Total Distance 6683.29
913
Table C.46: IPH solution to P24.
Day 1
No. Route Load Distance
1 0 1 51 15 49 6 5 0 19 235.67
2 0 2 3 24 9 26 4 0 19 290.96
Day 2
No. Route Load Distance
1 0 1 17 7 18 2 3 0 19 290.96
2 0 4 5 33 11 34 6 0 19 290.96
Day 3
No. Route Load Distance
1 0 1 39 12 36 6 0 15 233.23
2 0 13 40 2 20 8 23 3 0 20 246.65
3 0 4 29 10 31 5 47 14 0 20 246.65
Day 4
No. Route Load Distance
1 0 1 50 15 48 6 5 0 19 235.56
2 0 4 27 9 25 3 2 0 19 290.96
Day 5
No. Route Load Distance
1 0 1 16 7 19 2 0 15 233.23
2 0 6 35 11 32 5 46 0 17 235.92
3 0 43 42 3 4 44 0 14 184.71
Day 6
No. Route Load Distance
1 0 1 38 12 37 6 0 15 233.23
2 0 3 22 8 21 2 41 13 0 20 246.65
3 0 5 30 10 28 4 45 14 0 20 246.65
Total Distance 3741.98
914
Table C.47: IPH solution to P25.
Day 1
No. Route Load Distance
1 0 1 51 15 49 6 0 16 177.94
2 0 2 40 13 42 3 0 16 177.78
3 0 4 28 29 10 31 5 0 18 244.77
Day 2
No. Route Load Distance
1 0 4 26 9 24 3 43 0 18 235.92
2 0 6 35 11 33 5 46 14 0 20 246.65
3 0 41 2 18 7 16 1 50 0 20 238.62
Day 3
No. Route Load Distance
1 0 2 21 20 8 23 3 0 18 244.77
2 0 5 47 45 4 0 14 173.49
3 0 48 6 37 12 39 38 1 0 20 247.47
Day 4
No. Route Load Distance
1 0 15 1 2 13 3 0 19 247.10
2 0 6 5 30 10 4 0 19 289.82
Day 5
No. Route Load Distance
1 0 2 19 7 17 1 0 16 233.23
2 0 3 25 9 27 4 44 14 0 20 246.65
3 0 5 32 11 34 6 0 16 233.23
Day 6
No. Route Load Distance
1 0 1 12 36 6 5 0 19 289.82
2 0 2 8 22 3 4 0 19 289.82
Total Distance 3817.08
915
Table C.48: IPH solution to P26.
Day 1
No. Route Load Distance
1 0 1 51 49 6 48 0 16 176.19
2 0 2 40 13 42 3 0 17 177.78
3 0 4 44 14 47 5 0 17 177.78
Day 2
No. Route Load Distance
1 0 1 16 7 18 2 0 17 233.23
2 0 3 24 9 27 4 0 17 233.23
3 0 5 33 11 34 6 15 0 20 245.85
Day 3
No. Route Load Distance
1 0 2 20 8 23 3 0 17 233.23
2 0 46 5 31 10 29 4 0 19 235.92
3 0 6 37 12 39 1 0 17 233.23
Day 4
No. Route Load Distance
1 0 1 2 13 43 3 0 20 234.91
2 0 4 45 14 5 6 0 20 234.91
Day 5
No. Route Load Distance
1 0 2 19 7 17 1 50 0 19 235.92
2 0 3 25 9 26 4 0 17 233.23
3 0 5 32 11 35 6 15 0 20 245.85
Day 6
No. Route Load Distance
1 0 1 38 12 36 6 0 17 233.23
2 0 3 22 8 21 2 41 0 19 235.92
3 0 5 30 10 28 4 0 17 233.23
Total Distance 3833.64
916
Table C.49: IPH solution to P27.
Day 1
No. Route Load Distance
1 0 1 7 89 27 87 12 0 19 1166.14
2 0 3 38 37 14 35 36 2 0 19 256.32
3 0 4 10 96 29 98 11 0 19 888.91
4 0 5 47 48 17 50 49 6 0 19 256.32
5 0 15 9 93 28 91 8 92 0 20 921.87
Day 2
No. Route Load Distance
1 0 1 31 13 34 2 56 19 0 20 246.65
2 0 3 9 73 23 72 8 0 19 1166.13
3 0 4 10 79 25 82 11 0 19 1166.14
4 0 6 12 100 30 102 7 0 19 888.91
5 0 20 62 5 61 0 11 131.59
Day 3
No. Route Load Distance
1 0 1 53 54 18 52 6 21 0 20 257.40
2 0 2 8 69 22 67 7 0 19 1166.13
3 0 4 41 40 3 57 58 0 16 202.02
4 0 5 10 77 24 76 9 0 19 1199.77
5 0 12 85 26 84 11 97 16 0 20 1190.18
Day 4
No. Route Load Distance
1 0 1 7 90 27 88 12 0 19 1166.12
2 0 2 8 28 94 9 14 0 20 905.37
3 0 5 4 42 15 39 3 0 19 290.96
4 0 6 17 11 29 95 10 0 20 920.84
Day 5
No. Route Load Distance
1 0 1 32 13 33 2 55 19 0 20 246.65
2 0 3 9 74 23 71 8 0 19 1166.13
3 0 5 11 81 25 80 10 0 19 1166.14
4 0 6 12 99 30 101 7 0 19 888.91
5 0 20 60 4 59 0 11 131.59
(cont.)
917
Table C.49 continued.
Day 6
No. Route Load Distance
1 0 2 8 70 22 68 7 0 19 1166.14
2 0 3 9 75 24 78 10 0 19 1166.13
3 0 4 43 44 16 45 46 5 0 19 256.32
4 0 11 83 26 86 12 18 51 0 20 1187.79
5 0 63 6 64 21 66 1 65 0 19 183.33
Total Distance 21946.89
918
Table C.50: IPH solution to P28.
Day 1
No. Route Load Distance
1 0 2 1 21 63 6 0 19 234.98
2 0 3 9 93 28 8 0 19 885.88
3 0 11 82 25 80 10 95 16 0 20 1190.18
4 0 12 100 30 101 7 53 54 0 20 897.16
5 0 59 4 60 62 5 61 0 18 178.88
Day 2
No. Route Load Distance
1 0 1 2 19 3 0 17 234.31
2 0 4 10 96 29 11 0 19 885.88
3 0 6 49 47 48 5 0 16 204.76
4 0 7 89 27 87 12 17 50 0 20 1195.34
5 0 14 9 74 23 72 8 33 0 20 1189.88
Day 3
No. Route Load Distance
1 0 1 6 5 4 0 20 288.67
2 0 2 35 36 38 37 3 0 18 216.31
3 0 31 13 7 68 22 69 8 0 20 1187.79
4 0 15 9 76 24 78 10 42 0 20 1189.88
5 0 18 12 86 26 84 11 20 0 20 1191.77
Day 4
No. Route Load Distance
1 0 2 1 65 21 6 0 19 234.99
2 0 3 4 43 45 5 0 19 261.52
3 0 7 102 30 99 12 52 51 0 20 897.16
4 0 8 91 28 94 9 39 40 0 20 897.16
5 0 10 79 25 81 11 97 16 0 20 1190.18
Day 5
No. Route Load Distance
1 0 1 66 64 6 5 0 19 231.23
2 0 2 56 19 58 3 0 16 177.78
3 0 4 10 29 98 11 0 19 885.88
4 0 9 73 23 71 8 92 14 0 20 1190.18
5 0 17 12 88 27 90 7 32 0 20 1189.87
(cont.)
919
Table C.50 continued.
Day 6
No. Route Load Distance
1 0 1 2 55 57 3 0 19 231.23
2 0 6 5 44 4 20 0 19 259.69
3 0 8 70 22 67 7 13 34 0 20 1187.79
4 0 9 75 24 77 10 15 41 0 20 1187.79
5 0 18 12 85 26 83 11 46 0 20 1189.88
Total Distance 22384.04
920
Table C.51: IPH solution to P29.
Day 1
No. Route Load Distance
1 0 2 1 65 21 6 0 20 234.99
2 0 3 4 60 20 5 0 20 234.91
3 0 9 73 23 71 8 13 0 20 1185.63
4 0 11 81 25 79 10 15 0 20 1185.63
5 0 12 88 27 90 7 101 0 19 1179.60
Day 2
No. Route Load Distance
1 0 1 32 31 34 33 2 0 18 216.31
2 0 3 39 40 41 42 4 0 18 216.31
3 0 5 48 47 49 50 6 0 18 216.31
4 0 7 68 22 70 8 28 0 20 1230.21
5 0 10 77 24 75 9 14 0 20 1185.63
6 0 12 86 26 84 11 17 0 20 1185.62
Day 3
No. Route Load Distance
1 0 1 66 64 6 5 0 19 231.23
2 0 2 19 58 3 4 0 20 234.91
3 0 11 97 29 96 10 16 0 20 908.40
4 0 12 99 30 102 7 18 0 20 908.40
5 0 37 94 9 93 91 8 92 0 20 895.12
Day 4
No. Route Load Distance
1 0 1 54 51 6 63 21 0 19 206.41
2 0 3 38 36 35 2 0 16 204.76
3 0 4 59 20 62 5 61 0 19 180.48
4 0 8 72 23 74 9 15 0 20 1185.63
5 0 11 82 25 80 10 95 0 19 1179.61
6 0 12 87 27 89 7 13 0 20 1185.63
Day 5
No. Route Load Distance
1 0 1 2 55 57 3 0 19 231.23
2 0 4 44 45 5 6 0 19 250.95
3 0 28 8 69 22 67 7 0 20 1230.21
(cont.)
921
Table C.51 continued.
Day 5
No. Route Load Distance
4 0 14 9 76 24 78 10 0 20 1185.63
5 0 12 85 26 83 11 17 0 20 1185.62
Day 6
No. Route Load Distance
1 0 1 53 18 52 6 0 17 233.23
2 0 2 56 19 3 0 15 177.18
3 0 4 43 16 46 5 0 17 233.23
4 0 8 7 30 100 12 0 20 1174.56
5 0 9 10 29 98 11 0 20 1174.56
Total Distance 22668.10
922
Table C.52: IPH solution to P30.
Day 1
No. Route Load Distance
1 0 1 68 69 66 67 6 5 0 20 274.04
2 0 3 53 51 50 2 70 25 0 19 218.18
3 0 4 10 110 112 11 23 0 19 906.96
4 0 7 104 33 45 18 12 0 20 2007.35
5 0 109 9 15 144 87 8 107 0 20 1998.19
6 0 16 131 40 133 17 32 99 0 20 3680.95
7 0 20 14 121 37 119 13 152 0 20 3553.83
Day 2
No. Route Load Distance
1 0 1 81 27 79 6 0 15 177.94
2 0 2 8 106 34 52 3 0 19 655.28
3 0 5 60 61 22 59 4 74 0 19 247.47
4 0 9 15 125 38 122 14 0 19 3498.40
5 0 10 30 16 147 97 96 35 0 20 2180.36
6 0 11 17 134 41 137 18 0 19 3498.40
7 0 12 103 153 13 83 7 80 0 20 2043.19
Day 3
No. Route Load Distance
1 0 2 48 19 47 1 6 0 19 290.96
2 0 3 21 4 75 26 5 0 20 292.65
3 0 7 105 102 12 114 36 24 0 20 1033.22
4 0 8 14 142 43 29 9 0 20 2010.71
5 0 10 16 128 39 127 15 0 19 3498.40
6 0 11 17 148 44 31 94 95 0 20 2001.93
7 0 150 18 139 42 140 13 28 0 20 3672.80
Day 4
No. Route Load Distance
1 0 1 2 71 25 72 3 0 19 235.52
2 0 4 58 10 111 113 11 63 0 20 882.88
3 0 6 64 65 23 62 5 77 0 19 252.35
4 0 7 33 45 151 18 12 0 20 2010.71
(cont.)
923
Table C.52 continued.
Day 4
No. Route Load Distance
5 0 8 14 120 37 118 13 0 19 3498.40
6 0 9 15 145 88 89 108 20 0 19 1811.99
7 0 32 17 132 40 130 16 146 0 20 3672.80
Day 5
No. Route Load Distance
1 0 1 27 78 6 5 76 0 19 237.67
2 0 2 8 84 85 7 117 116 0 20 1047.44
3 0 73 3 55 56 57 4 0 16 207.46
4 0 9 90 91 30 16 10 0 19 2006.83
5 0 12 101 100 98 11 35 22 0 20 1087.89
6 0 13 18 136 41 135 17 0 19 4364.43
7 0 15 124 38 123 14 86 34 0 20 3538.02
Day 6
No. Route Load Distance
1 0 2 49 19 46 1 0 15 233.23
2 0 3 54 21 4 26 5 0 20 293.18
3 0 6 12 115 36 7 24 0 20 905.37
4 0 8 14 143 43 29 9 0 20 2010.71
5 0 10 31 44 149 17 11 0 20 2010.71
6 0 15 126 39 129 16 93 92 0 19 3546.50
7 0 82 28 13 141 42 138 18 0 20 3643.21
Total Distance 75238.50
924
Table C.53: IPH solution to P31.
Day 1
No. Route Load Distance
1 0 1 116 7 8 0 17 880.65
2 0 2 71 25 73 3 0 16 177.78
3 0 4 60 61 5 6 0 19 258.42
4 0 9 89 88 145 144 15 30 0 20 2095.94
5 0 11 113 35 111 10 110 22 0 20 912.95
6 0 12 18 151 150 103 115 0 18 1870.01
7 0 14 120 37 119 13 28 82 0 20 3643.21
8 0 16 131 40 132 17 99 98 0 20 3546.50
Day 2
No. Route Load Distance
1 0 1 2 70 72 3 0 19 231.23
2 0 6 67 12 11 23 0 19 896.67
3 0 7 83 13 152 104 105 27 0 20 1861.07
4 0 9 108 34 107 8 19 0 18 908.40
5 0 10 146 16 147 44 31 95 0 20 1992.03
6 0 15 124 38 123 14 143 20 0 20 3545.96
7 0 26 77 5 59 58 4 74 0 20 216.80
8 0 114 18 137 41 134 17 148 0 20 3543.29
Day 3
No. Route Load Distance
1 0 2 3 21 57 4 0 19 289.82
2 0 76 5 6 0 12 175.90
3 0 8 14 43 29 9 0 19 2001.63
4 0 10 16 39 127 15 0 19 3481.25
5 0 11 17 32 101 12 0 19 1949.09
6 0 18 138 42 140 13 45 33 0 20 3690.64
7 0 66 24 36 117 7 47 1 0 20 657.78
Day 4
No. Route Load Distance
1 0 80 1 68 69 79 6 78 0 20 210.74
2 0 3 52 53 51 2 25 0 18 217.58
(cont.)
925
Table C.53 continued.
Day 4
No. Route Load Distance
3 0 4 22 112 11 5 0 19 616.87
4 0 8 7 18 12 0 20 2207.14
5 0 9 15 30 93 10 0 19 1949.09
6 0 14 121 37 118 13 28 85 0 20 3643.21
7 0 16 130 40 133 17 96 35 0 20 3547.94
Day 5
No. Route Load Distance
1 0 2 48 49 46 1 81 27 0 20 218.18
2 0 3 55 56 4 75 26 0 18 206.64
3 0 5 62 63 23 65 64 6 0 20 256.32
4 0 7 13 153 102 12 0 19 1971.24
5 0 10 16 44 31 11 0 19 2001.63
6 0 15 125 38 122 14 84 19 0 20 3530.43
7 0 18 136 41 135 17 149 97 0 20 3612.44
8 0 20 9 109 34 106 8 50 0 20 912.66
Day 6
No. Route Load Distance
1 0 1 7 36 24 6 0 19 656.90
2 0 2 3 4 5 0 20 288.67
3 0 8 14 142 43 29 86 87 0 20 2001.93
4 0 11 17 32 100 12 0 19 1949.09
5 0 15 126 39 129 128 16 94 0 20 3699.70
6 0 18 139 42 141 13 45 33 0 20 3690.64
7 0 21 10 92 91 90 9 54 0 20 1047.56
Total Distance 77263.61
926
Table C.54: IPH solution to P32.
Day 1
No. Route Load Distance
1 0 1 81 79 6 5 0 19 231.23
2 0 2 107 8 106 34 20 0 20 659.07
3 0 25 73 3 55 56 4 0 19 206.64
4 0 7 13 153 45 33 105 0 20 1944.20
5 0 9 92 93 16 10 0 19 1926.31
6 0 12 100 98 99 11 23 0 19 1043.31
7 0 14 122 38 124 15 21 0 20 3513.40
8 0 17 135 41 137 18 101 0 19 3526.50
Day 2
No. Route Load Distance
1 0 1 47 19 48 2 0 17 233.23
2 0 3 9 90 91 10 0 19 1003.41
3 0 5 61 60 58 4 26 0 19 228.15
4 0 6 12 36 117 7 0 20 885.88
5 0 8 143 142 14 28 82 0 19 2016.35
6 0 11 17 149 44 31 97 0 20 1981.93
7 0 13 141 42 138 18 32 0 20 3632.38
8 0 15 127 39 129 16 30 0 20 3632.38
Day 3
No. Route Load Distance
1 0 1 7 116 24 69 27 0 20 604.32
2 0 2 70 72 3 0 14 173.49
3 0 4 59 22 35 113 11 0 20 661.07
4 0 5 62 64 65 6 0 16 204.76
5 0 8 43 144 15 9 0 20 2000.63
6 0 10 16 40 133 17 0 20 3481.25
7 0 12 18 150 103 102 115 66 0 20 1806.95
8 0 13 119 37 120 14 29 0 20 3632.38
Day 4
No. Route Load Distance
1 0 3 54 21 57 4 0 17 233.23
(cont.)
927
Table C.54 continued.
Day 4
No. Route Load Distance
2 0 5 11 12 23 0 18 885.52
3 0 7 83 13 152 45 33 0 20 1995.95
4 0 9 89 87 8 34 20 0 20 1030.16
5 0 10 16 147 146 94 95 111 0 20 1897.55
6 0 14 123 38 125 15 88 0 19 3526.50
7 0 18 136 41 134 17 63 0 19 3501.82
8 0 25 2 1 6 78 0 20 246.45
Day 5
No. Route Load Distance
1 0 2 49 19 46 1 80 0 19 235.92
2 0 3 109 108 9 10 0 19 911.20
3 0 4 74 26 76 5 0 17 177.78
4 0 6 12 114 36 7 0 20 885.88
5 0 8 86 14 28 84 85 0 19 1997.19
6 0 11 17 148 44 31 96 0 20 1944.19
7 0 13 140 42 139 18 32 0 20 3632.38
8 0 15 126 39 128 16 30 0 20 3632.38
Day 6
No. Route Load Distance
1 0 1 68 24 67 6 27 0 20 245.85
2 0 71 2 50 51 53 52 3 0 20 219.01
3 0 4 75 77 5 0 14 173.49
4 0 7 104 151 18 12 0 19 1979.82
5 0 8 43 145 15 9 0 20 2000.63
6 0 11 112 35 110 10 22 0 20 908.40
7 0 13 118 37 121 14 29 0 20 3632.38
8 0 16 131 130 40 132 17 0 19 3671.61
Total Distance 78794.46
928
Table C.55: Initial solution to P2.
Day 1
No. Route Load Distance
1 0 12 4 41 19 42 44 45 10 38 46 0 138 115.53
2 0 18 25 43 23 48 27 0 128 90.88
3 0 26 31 36 20 29 21 34 50 2 22 32 0 152 155.69
Day 2
No. Route Load Distance
1 0 6 25 13 41 18 47 0 159 85.59
2 0 8 3 20 2 11 0 116 85.64
3 0 12 5 49 39 30 34 9 16 0 153 100.33
Day 3
No. Route Load Distance
1 0 12 41 42 44 33 34 38 0 149 133.36
2 0 18 25 14 43 7 23 48 0 153 98.59
3 0 27 31 28 35 20 2 32 0 127 96.39
Day 4
No. Route Load Distance
1 0 6 25 13 41 18 47 0 159 85.59
2 0 8 3 20 2 11 0 116 85.64
3 0 12 5 49 39 30 34 9 16 0 153 100.33
Day 5
No. Route Load Distance
1 0 1 7 24 14 25 40 41 18 0 160 144.48
2 0 12 0 29 16.12
3 0 17 37 15 33 34 2 20 35 28 0 160 157.19
Total Distance 1551.36
929
Table C.56: Initial solution to P5.
Day 1
No. Route Load Distance
1 0 4 52 34 67 40 0 131 57.56
2 0 8 14 11 66 65 0 130 86.52
3 0 26 72 39 9 55 32 44 3 51 0 139 99.81
4 0 48 47 21 69 36 70 15 13 54 0 134 125.78
5 0 63 49 23 42 64 22 28 62 75 0 140 119.50
Day 2
No. Route Load Distance
1 0 2 28 64 43 1 6 0 138 93.68
2 0 4 30 21 20 27 0 119 90.33
3 0 14 66 11 53 0 127 81.57
4 0 17 40 24 16 33 0 126 80.87
5 0 32 9 31 38 58 0 127 95.22
6 0 46 67 0 57 22.57
Day 3
No. Route Load Distance
1 0 4 52 54 8 34 67 0 130 60.39
2 0 10 39 9 50 32 44 0 138 86.52
3 0 11 66 59 14 0 129 90.13
4 0 26 12 40 56 64 62 0 139 119.15
5 0 28 21 47 48 5 45 0 138 79.04
6 0 75 0 20 6.00
Day 4
No. Route Load Distance
1 0 2 28 64 43 1 6 0 138 93.68
2 0 4 30 21 20 27 0 119 90.33
3 0 14 66 11 53 0 127 81.57
4 0 17 40 24 16 33 0 126 80.87
5 0 32 9 31 38 58 0 127 95.22
6 0 46 67 0 57 22.57
(cont.)
930
Table C.56 continued.
Day 5
No. Route Load Distance
1 0 4 19 59 14 35 67 0 140 85.08
2 0 7 11 66 10 12 0 131 83.16
3 0 32 50 18 25 9 40 0 139 81.42
4 0 45 29 5 57 37 60 71 21 74 0 137 112.40
5 0 68 28 61 64 41 56 73 0 129 119.63
Total Distance 2340.54
931
Table C.57: Initial solution to P8.
Day 1
No. Route Load Distance
1 0 2 87 97 37 86 38 43 41 23 39 25 55 56 73 0 199 181.18
2 0 6 60 83 8 46 45 17 84 5 61 85 92 59 96 94 0 200 108.67
3 0 53 76 68 80 24 29 78 81 9 35 71 20 70 31 69 0 196 137.16
4 0 88 10 63 11 64 49 47 48 82 7 18 89 0 197 128.05
Day 2
No. Route Load Distance
1 0 5 16 86 44 14 100 85 93 0 198 87.93
2 0 13 87 59 95 94 0 124 46.88
3 0 21 72 22 75 23 39 54 26 0 167 90.52
4 0 28 12 68 77 79 81 33 0 145 68.07
5 0 31 30 32 19 49 47 48 0 181 120.15
Day 3
No. Route Load Distance
1 0 4 39 67 23 87 97 59 94 0 197 113.42
2 0 27 31 10 62 11 49 47 48 82 0 199 101.69
3 0 50 81 9 66 65 71 34 3 68 76 0 191 130.57
4 0 53 58 0 32 18.63
5 0 89 18 83 45 5 61 86 38 85 96 0 196 116.69
Day 4
No. Route Load Distance
1 0 5 16 86 44 14 100 85 93 0 198 87.93
2 0 13 87 59 95 94 0 124 46.88
3 0 21 72 22 75 23 39 54 26 0 167 90.52
4 0 28 12 68 77 79 81 33 0 145 68.07
5 0 31 30 32 19 49 47 48 0 181 120.15
Day 5
No. Route Load Distance
1 0 1 50 51 66 65 34 81 3 68 0 167 130.05
2 0 5 86 91 85 98 59 99 94 0 177 78.23
3 0 27 31 62 90 49 36 47 48 52 0 172 113.81
4 0 40 4 39 67 23 74 57 15 42 87 58 0 185 128.48
Total Distance 2313.75
932
Table C.58: Initial solution to P10.
Day 1
No. Route Load Distance
1 0 5 59 85 44 86 14 87 0 194 99.23
2 0 6 95 94 0 50 32.38
3 0 12 68 54 4 39 23 22 58 0 188 98.11
4 0 48 47 49 62 31 30 81 0 186 131.97
Day 2
No. Route Load Distance
1 0 5 83 8 47 49 48 0 139 105.48
2 0 13 87 16 85 93 59 96 94 0 197 67.93
3 0 21 72 23 67 39 0 121 91.97
4 0 31 32 66 81 79 68 0 160 106.17
Day 3
No. Route Load Distance
1 0 18 82 19 11 63 62 10 30 27 0 139 105.89
2 0 26 12 54 4 75 22 58 53 0 141 79.56
3 0 28 76 77 3 34 65 71 9 33 50 0 145 110.62
4 0 89 45 61 86 38 14 44 100 98 97 95 0 192 119.42
Day 4
No. Route Load Distance
1 0 1 32 66 81 79 68 0 143 107.35
2 0 5 83 48 47 49 31 0 157 108.43
3 0 13 87 16 85 93 59 96 94 0 197 67.93
4 0 21 72 23 67 39 0 121 91.97
Day 5
No. Route Load Distance
1 0 26 73 74 41 75 56 25 55 24 29 80 3 77 76 0 129 125.45
2 0 27 69 70 20 51 9 71 65 35 34 78 33 50 28 0 162 127.29
3 0 52 18 82 7 88 10 90 64 11 19 36 46 45 17 84 60 89 0 157 169.32
4 0 53 40 2 57 42 15 43 38 86 61 91 100 37 97 92 99 0 170 134.14
Total Distance 2080.63
933
Table C.59: Initial solution to P11.
Day 1
No. Route Load Distance
1 0 16 41 24 20 107 21 64 10 13 12 2 43 42 0 229 79.03
2 0 25 15 33 19 29 3 4 26 0 233 29.71
3 0 27 92 7 1 28 8 30 9 31 39 67 0 206 73.06
Day 2
No. Route Load Distance
1 0 17 99 2 45 22 13 32 63 80 11 14 103 87 0 220 85.05
2 0 34 16 38 48 69 35 90 6 15 51 37 0 214 43.31
3 0 111 36 127 5 52 53 78 8 77 58 18 128 130 0 234 87.64
Day 3
No. Route Load Distance
1 0 33 29 128 131 26 124 0 229 28.87
2 0 39 31 9 28 1 5 7 47 73 105 0 215 63.49
3 0 72 2 82 12 40 21 10 20 11 23 66 24 86 0 224 68.83
Day 4
No. Route Load Distance
1 0 25 15 96 122 74 19 121 128 113 60 8 30 9 115 56 110 57 59 220 60.82116 89 93 68 88 104 0
2 0 34 84 70 98 120 17 85 2 44 83 12 109 22 13 81 106 10 117 231 90.0262 61 118 125 119 97 14 71 101 0
3 0 35 6 130 75 55 54 76 1 5 126 7 36 50 49 38 0 216 54.55
Day 5
No. Route Load Distance
1 0 14 23 11 32 65 108 46 100 2 17 102 16 0 235 62.17
2 0 27 5 1 79 114 18 129 94 0 225 62.03
3 0 91 4 6 112 123 37 95 0 208 25.83
Total Distance 914.42
934
Table C.60: Initial solution to P12.
Day 1
No. Route Load Distance
1 0 38 117 115 114 9 10 29 28 19 27 22 25 7 4 3 2 147 0 139 149.62
2 0 97 41 42 33 32 31 43 45 46 56 60 61 67 51 48 49 72 103 0 134 142.24
3 0 132 156 155 150 153 159 160 0 59 51.69
Day 2
No. Route Load Distance
1 0 39 37 10 17 5 132 0 128 122.55
2 0 72 48 53 88 0 63 70.51
3 0 114 137 138 139 0 139 76.87
Day 3
No. Route Load Distance
1 0 96 91 40 108 36 113 15 14 13 8 20 23 26 24 25 6 3 146 137 156.21143 122 149 154 0
2 0 99 97 43 44 47 58 59 57 84 64 66 62 71 70 52 50 73 79 140 138.2981 102 103 0
3 0 131 130 158 150 153 162 163 135 0 55 51.64
Day 4
No. Route Load Distance
1 0 10 5 138 132 0 127 114.65
2 0 48 80 72 101 0 70 103.90
3 0 114 137 129 0 134 75.88
Day 5
No. Route Load Distance
1 0 94 95 110 90 107 106 34 35 11 12 16 30 18 21 5 1 140 141 140 149.56142 145 123 120 121 124 119 118 126 125 127 128 133 134 0
2 0 100 98 92 93 89 85 83 82 65 55 54 68 69 76 78 77 75 74 56 82.8786 87 63 104 0
3 0 105 109 111 112 116 137 144 148 151 157 152 161 136 0 136 82.62
Total Distance 1569.11
935
Table C.61: Initial solution to P13.
Day 1
No. Route Load Distance
1 0 6 32 405 145 333 83 94 60 0 1960 151.79
2 0 16 20 86 99 57 136 118 0 1850 52.69
3 0 38 298 407 370 377 367 39 314 225 0 1965 54.71
4 0 79 126 230 224 218 0 1240 51.11
5 0 102 114 68 336 362 321 326 334 0 1864 135.36
6 0 140 24 172 151 164 167 157 156 161 0 1910 88.32
7 0 183 292 28 43 82 33 415 110 294 0 1927 57.79
8 0 214 193 192 204 237 210 197 213 289 281 0 1888 27.48
9 0 246 258 242 262 301 254 297 260 0 1980 81.92
Day 2
No. Route Load Distance
1 0 8 134 408 416 46 49 45 0 1979 98.00
2 0 10 98 101 88 12 121 0 1835 37.90
3 0 13 30 127 3 26 0 1200 28.82
4 0 21 23 379 368 389 380 400 375 0 1994 75.45
5 0 34 93 131 62 132 67 0 1857 46.67
6 0 78 19 159 158 146 41 66 123 0 1980 75.61
7 0 104 35 7 112 344 325 361 355 0 1896 187.96
8 0 179 296 272 266 188 247 261 0 1945 48.62
9 0 195 381 256 241 209 232 284 310 0 1863 90.40
Day 3
No. Route Load Distance
1 0 4 9 75 17 111 171 36 133 0 1918 96.07
2 0 15 29 5 50 2 44 417 31 1 18 0 1953 81.30
3 0 40 404 409 347 320 345 335 341 0 1935 168.42
4 0 128 51 27 25 90 138 0 1836 47.79
5 0 144 107 61 65 59 11 282 0 1888 52.30
6 0 178 181 191 174 245 0 1150 39.76
7 0 202 295 243 305 306 263 240 0 1890 71.59
(cont.)
936
Table C.61 continued.
Day 3
No. Route Load Distance
8 0 203 37 383 363 382 299 274 199 219 0 1995 69.49
9 0 235 288 187 226 196 293 194 267 0 1900 28.13
Day 4
No. Route Load Distance
1 0 16 6 74 32 357 350 52 0 1985 88.95
2 0 20 14 105 91 33 22 122 0 1945 55.71
3 0 24 69 322 348 393 392 390 84 0 1991 164.04
4 0 28 109 378 365 137 38 0 1810 58.22
5 0 125 89 154 148 152 160 0 2000 93.70
6 0 130 58 269 277 318 286 223 0 1861 96.21
7 0 175 308 234 233 248 0 1450 21.85
8 0 207 190 291 279 208 200 217 0 1794 38.69
9 0 252 39 406 369 287 283 276 0 1783 53.81
Day 5
No. Route Load Distance
1 0 3 8 47 402 143 313 206 0 1975 67.53
2 0 12 100 81 119 34 87 53 0 1945 48.05
3 0 23 385 366 55 359 331 0 1792 99.62
4 0 117 19 150 35 162 163 278 120 0 1853 89.61
5 0 189 275 180 239 244 312 198 231 229 0 1976 75.51
6 0 227 238 290 264 307 270 300 0 1973 29.64
7 0 285 201 221 315 303 0 1205 32.85
8 0 311 386 373 411 374 410 371 401 414 0 1980 62.66
9 0 338 356 330 319 327 332 395 394 384 0 1995 209.71
Day 6
No. Route Load Distance
1 0 9 168 7 337 72 141 4 63 0 1990 104.99
2 0 10 353 349 343 403 398 346 97 0 1993 129.75
3 0 11 169 166 147 165 135 0 1915 81.90
4 0 21 391 1 64 27 13 30 0 1840 68.50
5 0 25 15 85 5 96 113 77 0 1953 66.40
(cont.)
937
Table C.61 continued.
Day 6
No. Route Load Distance
6 0 26 129 92 56 0 1210 22.24
7 0 142 37 364 265 271 251 257 0 1875 94.21
8 0 228 220 212 236 216 255 280 0 1775 35.42
9 0 339 354 329 324 323 342 352 360 0 1910 184.06
Day 7
No. Route Load Distance
1 0 22 48 103 31 388 2 14 108 0 1893 89.15
2 0 29 40 397 413 396 0 1930 110.51
3 0 54 115 17 36 155 153 149 0 1935 76.14
4 0 71 116 80 18 124 0 1217 40.17
5 0 76 95 70 340 358 328 351 0 1995 181.46
6 0 106 73 170 139 184 42 316 0 1905 58.81
7 0 173 205 250 253 317 273 177 176 304 0 1963 76.36
8 0 182 399 412 376 249 372 387 268 0 1800 61.52
9 0 185 222 186 215 211 309 302 259 0 1884 53.34
Total Distance 4966.77
938
Table C.62: Initial solution to P14.
Day 1
No. Route Load Distance
1 0 1 12 3 9 5 0 16 132.17
2 0 2 10 4 11 0 14 132.17
Day 2
No. Route Load Distance
1 0 1 8 3 13 14 0 14 124.51
2 0 2 7 4 16 15 6 0 16 126.38
Day 3
No. Route Load Distance
1 0 1 12 3 9 5 0 16 132.17
2 0 2 10 4 11 0 14 132.17
Day 4
No. Route Load Distance
1 0 1 3 20 19 8 0 14 119.81
2 0 2 6 4 17 18 7 0 16 126.38
Total Distance 1025.75
939
Table C.63: Initial solution to P15.
Day 1
No. Route Load Distance
1 0 1 14 18 22 5 19 15 3 7 0 27 276.07
2 0 2 4 17 21 6 20 16 0 23 270.16
Day 2
No. Route Load Distance
1 0 1 23 24 11 5 3 30 29 10 0 23 228.19
2 0 2 8 25 26 12 6 4 27 13 28 9 0 27 243.37
Day 3
No. Route Load Distance
1 0 1 14 18 22 5 19 15 3 7 0 27 276.07
2 0 2 4 17 21 6 20 16 0 23 270.16
Day 4
No. Route Load Distance
1 0 1 11 32 31 5 38 37 3 10 0 23 308.50
2 0 2 8 12 33 34 4 6 35 36 13 9 0 27 314.98
Total Distance 2187.49
940
Table C.64: Initial solution to P16.
Day 1
No. Route Load Distance
1 0 1 3 20 24 28 32 7 5 29 25 21 9 0 36 427.08
2 0 2 4 22 26 30 6 8 31 27 23 19 0 34 421.42
Day 2
No. Route Load Distance
1 0 1 33 34 13 42 17 41 7 5 3 40 16 39 12 0 34 358.06
2 0 2 10 35 36 14 43 18 44 8 6 4 37 15 38 11 0 36 361.74
Day 3
No. Route Load Distance
1 0 1 3 20 24 28 32 7 5 29 25 21 9 0 36 427.08
2 0 2 4 22 26 30 6 8 31 27 23 19 0 34 421.42
Day 4
No. Route Load Distance
1 0 1 13 17 50 49 5 7 56 55 47 48 3 16 12 0 34 506.51
2 0 2 10 14 18 51 52 6 8 53 54 46 45 4 15 11 0 36 507.19
Total Distance 3430.49
941
Table C.65: Initial solution to P17.
Day 1
No. Route Load Distance
1 0 1 16 24 5 17 9 0 18 111.40
2 0 2 0 5 20.00
3 0 3 22 8 23 4 0 19 119.83
4 0 18 6 19 20 7 21 0 18 181.43
Day 2
No. Route Load Distance
1 0 1 25 5 26 0 12 105.83
2 0 2 11 30 29 6 28 27 10 0 18 118.59
3 0 3 12 31 7 32 13 0 16 110.69
4 0 4 14 8 15 0 14 102.89
Day 3
No. Route Load Distance
1 0 1 16 24 5 17 9 0 18 111.40
2 0 2 0 5 20.00
3 0 3 22 8 23 4 0 19 119.83
4 0 18 6 19 20 7 21 0 18 181.43
Day 4
No. Route Load Distance
1 0 1 40 5 39 0 12 105.83
2 0 2 10 6 11 0 14 102.89
3 0 3 12 33 7 34 13 0 16 110.69
4 0 4 15 38 37 8 36 35 14 0 18 118.59
Total Distance 1741.33
942
Table C.66: Initial solution to P18.
Day 1
No. Route Load Distance
1 0 1 28 36 44 9 37 29 5 13 0 27 217.62
2 0 2 6 30 38 10 39 31 0 23 216.06
3 0 3 7 32 40 11 41 33 0 23 216.06
4 0 4 26 8 34 42 12 43 35 27 0 27 221.88
Day 2
No. Route Load Distance
1 0 1 45 46 21 9 5 60 59 20 0 23 200.30
2 0 2 15 49 50 23 6 10 22 47 48 14 0 27 206.98
3 0 3 17 53 54 25 7 11 24 51 52 16 0 27 207.05
4 0 4 18 55 56 12 8 57 58 19 0 23 198.34
Day 3
No. Route Load Distance
1 0 1 28 36 44 9 37 29 5 13 0 27 217.62
2 0 2 6 30 38 10 39 31 0 23 216.06
3 0 3 7 32 40 11 41 33 0 23 216.06
4 0 4 26 8 34 42 12 43 35 27 0 27 221.88
Day 4
No. Route Load Distance
1 0 1 21 62 61 9 76 75 5 20 0 23 234.51
2 0 2 15 23 66 65 10 64 63 6 22 14 0 27 238.89
3 0 3 17 25 7 70 69 11 68 67 24 16 0 27 238.98
4 0 4 19 74 73 12 72 71 8 18 0 23 234.17
Total Distance 3502.45
943
Table C.67: Initial solution to P19.
Day 1
No. Route Load Distance
1 0 1 40 48 56 64 13 57 49 41 9 5 17 0 36 344.03
2 0 2 6 10 43 51 59 14 58 50 42 0 32 342.51
3 0 3 7 37 45 11 53 61 15 60 52 44 36 0 36 346.67
4 0 4 8 38 46 54 62 16 63 55 12 47 39 0 36 346.67
Day 2
No. Route Load Distance
1 0 1 65 66 25 33 82 13 9 81 5 32 79 80 24 0 34 301.32
2 0 2 19 69 70 27 35 86 85 10 14 84 83 34 6 26 67 68 18 0 40 338.69
3 0 3 21 73 74 29 7 88 11 15 87 28 71 72 20 0 34 300.03
4 0 4 23 77 78 31 16 12 8 30 75 76 22 0 32 286.60
Day 3
No. Route Load Distance
1 0 1 40 48 56 64 13 57 49 41 9 5 17 0 36 344.03
2 0 2 6 10 43 51 59 14 58 50 42 0 32 342.51
3 0 3 7 37 45 11 53 61 15 60 52 44 36 0 36 346.67
4 0 4 8 38 46 54 62 16 63 55 12 47 39 0 36 346.67
Day 4
No. Route Load Distance
1 0 1 25 33 9 98 97 13 112 111 95 96 5 32 24 0 34 382.74
2 0 2 19 27 35 102 101 14 100 99 10 34 6 26 18 0 36 372.09
3 0 3 20 28 7 89 11 103 104 15 105 106 90 29 21 0 34 362.68
4 0 4 23 31 8 93 94 110 109 16 108 107 12 92 91 30 22 0 36 399.22
Total Distance 5503.13
944
Table C.68: Initial solution to P20.
Day 1
No. Route Load Distance
1 0 1 56 64 72 13 80 88 96 104 17 21 97 89 81 73 65 57 9 58 620.075 25 0
2 0 2 6 10 58 66 14 74 82 90 98 22 18 99 91 83 75 67 59 0 54 618.57
3 0 3 7 11 61 69 15 77 85 93 101 19 23 100 92 84 76 68 60 0 54 618.57
4 0 4 8 12 62 70 16 78 86 94 102 24 20 103 95 87 79 71 63 0 54 618.57
Day 2
No. Route Load Distance
1 0 1 33 5 41 49 9 152 13 168 17 153 154 170 169 21 184 183 167 52 687.03151 48 40 32 0
2 0 2 26 34 42 50 155 171 172 22 173 174 158 157 18 156 14 10 51 54 678.3343 6 35 27 0
3 0 3 29 37 7 45 53 146 162 178 177 23 176 175 159 160 19 161 15 56 688.54145 11 52 44 36 28 0
4 0 4 30 38 46 54 147 148 16 165 20 164 163 179 180 24 181 182 166 58 745.96150 149 12 55 47 8 39 31 0
Day 3
No. Route Load Distance
1 0 1 56 64 72 13 80 88 96 104 17 21 97 89 81 73 65 57 9 58 620.075 25 0
2 0 2 6 10 58 66 14 74 82 90 98 22 18 99 91 83 75 67 59 0 54 618.57
3 0 3 7 11 61 69 15 77 85 93 101 19 23 100 92 84 76 68 60 0 54 618.57
4 0 4 8 12 62 70 16 78 86 94 102 24 20 103 95 87 79 71 63 0 54 618.57
Day 4
No. Route Load Distance
1 0 1 105 106 33 5 121 41 122 49 138 21 17 13 137 9 136 135 48 52 527.1240 119 120 32 0
2 0 2 26 108 107 34 42 123 50 124 10 140 139 22 18 14 141 142 51 58 595.30126 43 125 6 35 110 109 27 0
3 0 3 29 113 114 37 45 130 53 129 11 144 15 19 23 143 52 127 44 56 537.87128 7 36 111 112 28 0
4 0 4 31 117 118 39 8 133 47 134 55 24 20 16 12 132 54 131 46 54 514.2738 115 116 30 0
Total Distance 9925.96
945
Table C.69: Initial solution to P21.
Day 1
No. Route Load Distance
1 0 2 1 24 23 6 0 19 64.28
2 0 3 4 5 0 15 40.00
3 0 13 25 7 36 35 12 34 0 20 158.08
4 0 26 8 27 28 9 29 0 18 158.07
5 0 30 10 31 32 11 33 0 18 158.08
Day 2
No. Route Load Distance
1 0 2 1 6 5 0 20 50.00
2 0 3 17 46 45 9 44 43 16 0 18 111.78
3 0 4 18 47 10 48 19 0 16 105.09
4 0 14 15 42 41 8 40 39 38 7 37 0 20 176.42
5 0 21 20 11 12 22 0 16 157.95
Day 3
No. Route Load Distance
1 0 2 1 24 23 6 0 19 64.28
2 0 3 4 5 0 15 40.00
3 0 13 25 7 36 35 12 34 0 20 158.08
4 0 26 8 27 28 9 29 0 18 158.07
5 0 30 10 31 32 11 33 0 18 158.08
Day 4
No. Route Load Distance
1 0 3 2 1 6 0 20 50.00
2 0 4 18 49 10 50 19 0 16 105.09
3 0 5 20 51 52 11 53 54 21 0 18 111.78
4 0 15 14 8 9 17 16 0 18 164.90
5 0 22 55 56 12 57 58 59 7 60 0 18 169.47
Total Distance 2359.48
946
Table C.70: Initial solution to P22.
Day 1
No. Route Load Distance
1 0 1 42 54 66 13 55 43 7 19 0 27 200.24
2 0 2 8 44 56 14 57 45 0 23 199.53
3 0 3 9 47 59 15 58 46 0 23 199.53
4 0 4 10 49 61 16 60 48 0 23 199.53
5 0 5 39 11 51 63 17 62 50 38 0 27 202.41
6 0 6 41 12 53 65 18 64 52 40 0 27 202.41
Day 2
No. Route Load Distance
1 0 1 6 0 10 30.00
2 0 2 20 69 70 32 14 8 33 72 71 21 0 27 195.86
3 0 3 23 76 75 35 9 15 34 73 74 22 0 27 195.87
4 0 4 24 78 77 36 16 10 37 80 79 25 0 27 195.86
5 0 5 27 28 85 86 88 89 90 7 13 31 68 67 30 0 30 239.53
6 0 26 81 82 83 84 11 17 18 12 87 29 0 29 288.83
Day 3
No. Route Load Distance
1 0 1 42 54 66 13 55 43 7 19 0 27 200.24
2 0 2 8 44 56 14 57 45 0 23 199.53
3 0 3 9 47 59 15 58 46 0 23 199.53
4 0 4 10 49 61 16 60 48 0 23 199.53
5 0 5 39 11 51 63 17 62 50 38 0 27 202.41
6 0 6 41 12 53 65 18 64 52 40 0 27 202.41
Day 4
No. Route Load Distance
1 0 1 30 31 7 92 91 13 114 113 29 6 0 30 222.38
2 0 2 20 32 8 93 94 14 95 96 33 21 0 27 215.33
3 0 3 23 35 9 100 99 15 98 97 34 22 0 27 215.34
4 0 4 24 36 10 101 102 16 103 104 37 25 0 27 215.33
5 0 5 26 27 0 9 47.25
6 0 11 105 106 17 107 108 109 110 18 111 112 12 28 0 30 320.74
Total Distance 4789.66
947
Table C.71: Initial solution to P23.
Day 1
No. Route Load Distance
1 0 1 60 72 84 96 19 85 73 13 61 7 25 0 36 307.74
2 0 2 8 62 74 86 20 87 75 14 63 0 32 307.06
3 0 3 9 64 15 76 88 21 89 77 65 53 0 34 307.06
4 0 4 10 55 67 79 91 22 90 78 16 66 54 0 36 308.92
5 0 5 11 56 68 80 92 23 93 81 17 69 57 0 36 308.92
6 0 6 12 59 71 83 95 24 94 82 18 70 58 0 36 308.92
Day 2
No. Route Load Distance
1 0 1 6 5 0 15 40.00
2 0 2 26 38 8 50 14 147 148 20 149 150 51 39 27 0 36 326.17
3 0 3 28 40 52 151 152 21 153 154 15 9 41 29 4 0 39 325.31
4 0 30 31 43 42 10 133 16 155 156 22 157 158 134 135 136 11 44 32 0 40 393.36
5 0 33 45 138 137 17 159 160 23 161 162 163 164 24 165 166 18 140 139 40 496.8746 34 0
6 0 35 47 12 141 142 143 167 168 19 145 146 13 144 49 7 37 48 36 0 40 399.23
Day 3
No. Route Load Distance
1 0 1 60 72 84 96 19 85 73 13 61 7 25 0 36 307.74
2 0 2 8 62 74 86 20 87 75 14 63 0 32 307.06
3 0 3 9 64 15 76 88 21 89 77 65 53 0 34 307.06
4 0 4 10 55 67 79 91 22 90 78 16 66 54 0 36 308.92
5 0 5 11 56 68 80 92 23 93 81 17 69 57 0 36 308.92
6 0 6 12 59 71 83 95 24 94 82 18 70 58 0 36 308.92
Day 4
No. Route Load Distance
1 0 1 36 120 48 119 118 47 117 116 115 34 35 6 0 26 135.78
2 0 2 26 99 100 38 8 50 123 124 14 20 125 126 51 39 102 101 27 0 40 307.73
3 0 3 29 106 105 41 130 129 21 15 128 127 52 9 40 103 104 28 0 38 306.63
4 0 4 31 109 110 43 10 132 16 22 131 42 107 108 30 0 34 281.92
5 0 5 32 112 111 44 23 17 11 45 114 113 33 0 32 275.66
6 0 46 12 18 24 19 13 121 122 49 7 37 97 98 0 40 419.71
Total Distance 7405.60
948
Table C.72: Initial solution to P24.
Day 1
No. Route Load Distance
1 0 3 42 40 41 2 1 50 0 20 240.03
2 0 4 45 44 0 8 124.27
3 0 46 5 11 6 49 48 0 17 242.44
Day 2
No. Route Load Distance
1 0 1 38 36 37 0 10 208.44
2 0 2 21 3 9 4 0 17 304.61
3 0 6 35 34 32 33 5 30 0 18 260.74
Day 3
No. Route Load Distance
1 0 1 7 12 6 15 0 17 343.57
2 0 3 8 2 13 0 14 243.76
3 0 5 10 4 14 0 14 243.76
Day 4
No. Route Load Distance
1 0 1 39 6 11 5 0 17 304.61
2 0 4 28 29 0 8 171.45
3 0 18 2 23 22 3 24 25 26 0 20 327.51
Day 5
No. Route Load Distance
1 0 2 20 19 16 17 1 51 0 18 263.33
2 0 4 27 9 3 43 0 15 234.78
3 0 6 5 31 47 0 12 225.24
Day 6
No. Route Load Distance
1 0 1 7 12 6 15 0 17 343.57
2 0 3 8 2 13 0 14 243.76
3 0 5 10 4 14 0 14 243.76
Total Distance 4569.60
949
Table C.73: Initial solution to P25.
Day 1
No. Route Load Distance
1 0 2 41 42 3 0 14 176.07
2 0 6 49 51 1 50 0 16 176.19
3 0 44 4 45 47 5 46 0 18 178.88
Day 2
No. Route Load Distance
1 0 1 38 39 36 0 11 190.32
2 0 2 40 3 4 0 17 231.14
3 0 5 31 33 32 34 35 6 0 20 260.54
Day 3
No. Route Load Distance
1 0 3 9 4 10 14 0 16 330.94
2 0 5 11 6 0 12 230.94
3 0 13 8 2 7 1 12 15 0 20 430.94
Day 4
No. Route Load Distance
1 0 2 20 21 3 0 14 200.68
2 0 4 28 29 30 5 0 16 204.76
3 0 19 17 1 37 6 48 0 18 277.25
Day 5
No. Route Load Distance
1 0 1 16 18 2 23 22 43 0 20 282.68
2 0 3 24 25 26 27 4 0 18 216.31
3 0 5 6 0 10 173.20
Day 6
No. Route Load Distance
1 0 3 9 4 10 14 0 16 330.94
2 0 5 11 6 0 12 230.94
3 0 13 8 2 7 1 12 15 0 20 430.94
Total Distance 4553.65
950
Table C.74: Initial solution to P26.
Day 1
No. Route Load Distance
1 0 41 2 1 51 50 0 16 184.70
2 0 42 3 4 45 44 0 16 189.59
3 0 46 5 11 6 49 48 0 19 242.44
Day 2
No. Route Load Distance
1 0 2 1 38 36 37 0 16 266.17
2 0 3 9 4 30 31 0 17 309.25
3 0 5 33 32 34 35 6 0 18 216.31
Day 3
No. Route Load Distance
1 0 1 7 12 6 15 0 19 343.57
2 0 3 8 2 13 0 16 243.76
3 0 5 10 4 14 0 16 243.76
Day 4
No. Route Load Distance
1 0 1 39 6 11 5 0 20 304.61
2 0 2 40 23 22 0 11 198.45
3 0 3 24 25 26 4 28 29 0 20 260.74
Day 5
No. Route Load Distance
1 0 1 6 5 47 0 17 238.52
2 0 2 21 20 18 19 16 17 0 17 265.18
3 0 4 27 9 3 43 0 17 234.78
Day 6
No. Route Load Distance
1 0 1 7 12 6 15 0 19 343.57
2 0 3 8 2 13 0 16 243.76
3 0 5 10 4 14 0 16 243.76
Total Distance 4572.90
951
Table C.75: Initial solution to P27.
Day 1
No. Route Load Distance
1 0 1 7 68 67 22 8 0 19 1218.15
2 0 2 56 57 3 58 0 14 178.76
3 0 4 60 5 48 50 6 0 18 271.15
4 0 11 29 10 75 9 28 0 20 1373.00
5 0 21 18 100 27 12 99 52 0 19 1115.39
Day 2
No. Route Load Distance
1 0 1 101 7 90 12 54 66 0 20 981.10
2 0 2 55 19 3 4 59 0 19 237.61
3 0 5 47 49 6 0 12 193.21
4 0 14 9 23 71 69 8 32 0 20 1430.22
5 0 45 97 11 25 79 10 95 0 19 1189.97
Day 3
No. Route Load Distance
1 0 2 1 51 6 0 14 246.87
2 0 3 15 4 20 5 0 18 292.04
3 0 13 70 8 72 74 9 24 0 20 1689.40
4 0 16 10 80 82 11 17 0 18 1057.92
5 0 26 86 12 88 89 7 30 0 20 1635.88
Day 4
No. Route Load Distance
1 0 1 18 6 21 0 14 243.57
2 0 2 34 33 35 38 37 3 0 18 271.11
3 0 4 10 77 9 94 28 0 19 1012.78
4 0 5 11 29 43 42 41 40 0 19 712.44
5 0 12 27 7 22 8 91 0 20 1769.94
Day 5
No. Route Load Distance
1 0 3 4 44 46 62 5 0 18 278.26
2 0 19 2 1 65 0 13 188.72
3 0 31 7 87 12 6 63 64 0 20 966.67
4 0 36 14 8 23 73 9 39 0 20 1186.33
5 0 76 78 10 25 81 11 83 0 19 1751.93
(cont.)
952
Table C.75 continued.
Day 6
No. Route Load Distance
1 0 2 1 6 0 12 230.94
2 0 3 15 4 20 61 5 0 20 292.65
3 0 13 92 8 7 102 30 53 0 20 987.11
4 0 16 96 10 24 9 93 0 18 1236.57
5 0 17 12 85 26 84 11 98 0 20 1223.52
Total Distance 25463.21
953
Table C.76: Initial solution to P28.
Day 1
No. Route Load Distance
1 0 1 53 66 64 6 47 48 0 20 296.26
2 0 4 10 76 75 9 0 19 1003.41
3 0 5 46 11 12 52 0 19 881.44
4 0 7 89 68 67 69 71 8 0 20 1518.94
5 0 56 2 57 3 58 60 0 18 247.19
Day 2
No. Route Load Distance
1 0 1 54 6 49 5 0 19 262.80
2 0 3 40 42 43 44 4 0 18 259.56
3 0 8 23 9 24 10 0 19 1732.05
4 0 21 12 26 11 25 29 45 0 20 1661.73
5 0 30 27 7 22 28 2 55 0 20 1731.31
Day 3
No. Route Load Distance
1 0 1 32 34 13 7 18 51 0 20 664.55
2 0 3 39 14 35 2 19 0 18 289.33
3 0 4 20 5 17 6 0 19 292.04
4 0 12 86 11 10 16 0 19 1311.58
5 0 15 9 74 72 8 70 33 0 20 1208.40
Day 4
No. Route Load Distance
1 0 1 2 3 4 0 20 288.68
2 0 5 81 80 79 10 96 95 0 20 1000.81
3 0 6 99 100 90 102 7 101 0 20 925.41
4 0 12 85 83 11 98 97 0 18 1010.10
5 0 92 8 91 93 9 94 0 18 894.41
Day 5
No. Route Load Distance
1 0 1 2 36 38 3 0 19 250.95
2 0 4 25 11 26 12 0 19 1663.36
3 0 23 73 9 24 77 10 29 0 20 1730.21
4 0 30 27 7 22 8 28 37 0 20 1722.70
5 0 62 5 6 63 21 65 0 18 214.68
(cont.)
954
Table C.76 continued.
Day 6
No. Route Load Distance
1 0 1 2 3 19 0 17 243.76
2 0 4 15 9 8 14 0 19 920.48
3 0 6 50 17 5 61 20 59 0 20 265.93
4 0 16 11 84 82 10 78 41 0 20 1504.51
5 0 18 12 88 87 7 13 31 0 20 1044.56
Total Distance 27041.16
955
Table C.77: Initial solution to P29.
Day 1
No. Route Load Distance
1 0 1 18 30 100 99 6 0 20 549.32
2 0 2 19 0 8 128.28
3 0 3 9 28 91 8 0 20 885.88
4 0 4 60 62 5 63 0 16 220.30
5 0 12 27 90 7 68 67 0 19 1440.30
6 0 17 11 25 10 29 0 19 1238.27
Day 2
No. Route Load Distance
1 0 1 101 7 22 13 0 18 1091.97
2 0 2 55 0 7 123.05
3 0 3 9 23 71 8 0 20 1160.42
4 0 4 15 10 79 95 16 0 20 885.65
5 0 6 49 47 5 20 0 17 206.03
6 0 11 26 12 54 66 21 0 20 1181.29
Day 3
No. Route Load Distance
1 0 1 6 0 10 173.21
2 0 4 43 45 46 5 0 16 215.34
3 0 9 74 72 8 69 70 31 0 20 1249.02
4 0 24 78 10 80 11 48 0 19 1455.66
5 0 52 12 86 88 89 7 53 0 20 1295.73
6 0 56 2 14 3 57 0 17 241.21
Day 4
No. Route Load Distance
1 0 1 6 17 5 0 18 288.67
2 0 2 35 38 37 40 3 58 0 20 269.02
3 0 4 0 5 115.47
4 0 12 27 7 30 18 0 19 1218.78
5 0 19 9 94 28 8 33 0 20 896.28
6 0 29 11 25 10 77 42 0 20 1441.61
Day 5
No. Route Load Distance
1 0 2 1 21 6 0 18 234.41
(cont.)
956
Table C.77 continued.
Day 5
No. Route Load Distance
2 0 3 39 15 4 44 59 0 19 279.23
3 0 5 20 0 8 128.29
4 0 12 26 83 11 81 97 0 19 1396.17
5 0 13 8 22 7 65 0 18 1174.98
6 0 16 10 76 9 73 23 0 20 1470.89
Day 6
No. Route Load Distance
1 0 1 32 34 2 0 14 203.79
2 0 3 41 4 0 12 189.14
3 0 36 14 92 8 7 102 0 19 930.13
4 0 61 5 50 6 51 64 0 18 249.37
5 0 87 12 85 84 82 11 98 0 20 1500.12
6 0 93 9 75 24 10 96 0 19 1236.20
Total Distance 26963.47
957
Table C.78: Initial solution to P30.
Day 1
No. Route Load Distance
1 0 2 72 3 4 5 0 18 288.87
2 0 9 91 92 10 94 113 11 0 20 1413.67
3 0 16 39 15 38 14 89 0 20 5312.01
4 0 31 130 131 17 41 18 101 0 20 4691.88
5 0 68 116 7 83 82 8 106 107 0 20 1061.62
6 0 79 6 67 69 1 81 80 0 18 220.17
7 0 115 12 103 45 13 119 118 0 19 2869.63
Day 2
No. Route Load Distance
1 0 1 27 6 0 11 176.67
2 0 2 53 3 0 10 189.14
3 0 4 22 5 77 26 0 16 244.36
4 0 7 33 153 13 42 18 0 20 3706.18
5 0 9 14 28 84 8 34 0 20 2199.58
6 0 10 35 11 12 114 36 0 20 1238.63
7 0 30 16 128 127 15 145 43 0 20 3233.52
8 0 95 44 149 17 99 32 100 0 18 2225.78
Day 3
No. Route Load Distance
1 0 1 24 6 5 76 0 17 291.37
2 0 3 20 51 2 71 25 0 18 245.50
3 0 4 110 10 111 96 97 11 0 20 1041.37
4 0 7 13 141 139 18 12 0 20 3056.81
5 0 19 8 86 29 9 108 73 0 20 1217.97
6 0 21 90 15 125 14 120 37 0 20 4386.22
7 0 23 98 17 40 129 16 146 0 20 4217.99
Day 4
No. Route Load Distance
1 0 1 47 46 49 48 50 2 0 18 260.54
2 0 3 52 54 55 56 57 4 0 18 260.54
3 0 12 7 85 8 9 109 0 20 1536.50
(cont.)
958
Table C.78 continued.
Day 4
No. Route Load Distance
4 0 13 45 150 18 41 17 0 20 4389.69
5 0 14 122 38 15 39 16 0 20 5213.30
6 0 59 58 10 31 11 112 61 0 19 1177.15
7 0 60 5 63 62 64 65 6 66 0 20 305.18
Day 5
No. Route Load Distance
1 0 1 8 34 3 2 0 19 743.28
2 0 4 26 5 6 27 0 18 246.93
3 0 7 152 13 42 138 33 0 18 3320.14
4 0 9 30 16 147 44 10 0 20 2211.95
5 0 18 137 136 134 135 133 17 148 0 20 3948.47
6 0 22 35 11 32 12 36 0 20 1282.85
7 0 28 14 143 43 144 15 126 0 20 3580.37
Day 6
No. Route Load Distance
1 0 1 78 6 23 5 0 17 291.51
2 0 2 8 87 88 9 10 0 20 1307.61
3 0 11 17 132 40 16 93 0 19 3509.35
4 0 12 102 105 104 7 117 24 0 19 1067.78
5 0 15 124 123 14 142 29 20 0 20 3221.54
6 0 18 151 140 13 37 121 19 0 20 4608.24
7 0 70 25 3 21 4 75 74 0 20 277.87
Total Distance 86289.77
959
Table C.79: Initial solution to P31.
Day 1
No. Route Load Distance
1 0 2 53 52 3 0 14 200.68
2 0 4 59 58 111 10 56 0 18 641.04
3 0 5 60 61 63 65 6 0 18 268.99
4 0 7 103 18 101 12 0 19 1988.91
5 0 11 17 44 16 94 0 19 2676.66
6 0 13 120 14 15 92 0 19 3992.13
7 0 55 54 9 109 106 8 107 0 20 902.06
8 0 79 67 66 69 68 1 80 0 17 212.16
Day 2
No. Route Load Distance
1 0 1 2 25 3 0 17 234.31
2 0 4 10 35 11 22 0 19 902.35
3 0 5 77 26 0 9 128.89
4 0 6 23 12 36 7 0 19 917.82
5 0 8 84 28 37 118 13 27 0 20 3337.89
6 0 9 30 39 16 40 31 95 0 20 4820.24
7 0 14 122 38 125 15 145 34 0 20 3555.90
8 0 33 42 18 41 17 32 99 0 20 5146.64
Day 3
No. Route Load Distance
1 0 1 47 46 49 48 2 71 0 20 219.00
2 0 4 3 73 0 12 175.90
3 0 6 62 5 76 0 14 191.83
4 0 11 96 16 10 110 0 19 1933.62
5 0 12 18 137 17 98 0 19 3056.06
6 0 19 7 13 152 45 114 24 0 20 1984.69
7 0 20 29 15 144 43 14 86 0 20 2819.71
8 0 51 50 8 108 9 21 57 0 20 904.47
Day 4
No. Route Load Distance
1 0 1 2 3 4 0 20 288.68
(cont.)
960
Table C.79 continued.
Day 4
No. Route Load Distance
2 0 5 6 0 10 173.20
3 0 8 121 14 143 9 0 19 2619.99
4 0 10 113 11 12 0 17 1155.68
5 0 44 149 133 131 130 16 147 146 0 19 3347.06
6 0 115 18 136 134 135 17 148 0 20 3122.63
7 0 116 7 153 13 141 138 151 0 20 2846.54
8 0 129 128 127 126 15 124 123 142 0 19 4272.65
Day 5
No. Route Load Distance
1 0 2 1 81 27 0 14 186.63
2 0 3 9 10 4 0 20 866.03
3 0 6 5 26 0 12 186.02
4 0 7 83 85 8 34 25 0 18 1083.02
5 0 13 42 139 18 150 33 36 0 20 3615.24
6 0 22 35 112 11 100 12 23 0 20 1032.27
7 0 28 37 14 38 15 39 30 0 20 6464.10
8 0 32 41 17 40 16 31 97 0 20 5146.65
Day 6
No. Route Load Distance
1 0 1 2 70 72 3 0 19 231.23
2 0 4 75 74 0 9 124.27
3 0 5 11 64 6 0 17 610.98
4 0 10 93 16 132 17 0 19 2899.63
5 0 19 8 87 89 88 9 21 0 20 1062.80
6 0 20 29 14 43 15 90 91 0 20 2830.63
7 0 24 117 7 105 102 12 78 0 20 1010.88
8 0 82 13 119 140 18 45 104 0 20 3944.97
Total Distance 90333.72
961
Table C.80: Initial solution to P32.
Day 1
No. Route Load Distance
1 0 2 72 3 4 0 17 231.14
2 0 5 113 11 12 115 0 19 944.13
3 0 8 82 83 7 116 68 81 0 20 1017.65
4 0 10 92 91 9 89 106 107 0 20 1245.98
5 0 14 118 119 13 45 103 0 19 3235.75
6 0 16 131 130 39 15 38 0 20 5803.78
7 0 79 6 67 69 1 80 0 18 214.06
8 0 94 31 17 41 18 101 0 20 3674.74
Day 2
No. Route Load Distance
1 0 1 7 36 114 12 0 20 885.88
2 0 2 53 9 34 3 0 20 688.46
3 0 4 10 95 35 22 0 18 803.22
4 0 8 84 28 14 43 0 18 2141.32
5 0 11 99 32 17 149 44 0 20 2150.40
6 0 26 77 5 6 27 0 18 199.25
7 0 30 16 128 127 15 145 0 19 3072.64
8 0 33 153 13 42 18 100 0 20 3674.65
Day 3
No. Route Load Distance
1 0 1 6 23 5 0 18 288.67
2 0 4 21 3 73 25 0 18 244.36
3 0 8 86 29 9 108 20 0 20 1204.40
4 0 12 18 139 141 13 0 19 3056.81
5 0 24 7 19 2 51 71 0 20 678.95
6 0 37 120 14 125 15 90 0 19 4382.28
7 0 76 11 97 96 111 10 110 0 20 1041.00
8 0 98 17 40 129 16 146 0 19 4216.83
Day 4
No. Route Load Distance
1 0 1 47 46 49 48 2 0 18 216.31
(cont.)
962
Table C.80 continued.
Day 4
No. Route Load Distance
2 0 3 56 57 58 59 4 0 18 256.46
3 0 5 63 62 64 65 6 0 18 216.31
4 0 7 13 45 12 66 0 20 1998.86
5 0 10 16 31 112 61 60 0 19 1894.54
6 0 11 17 41 18 150 0 20 3504.53
7 0 15 39 38 122 14 85 0 20 5027.07
8 0 52 50 8 109 9 54 55 0 20 931.61
Day 5
No. Route Load Distance
1 0 3 2 1 27 0 18 243.74
2 0 5 35 22 4 26 0 19 438.77
3 0 6 12 36 7 0 18 882.85
4 0 9 43 144 15 126 30 0 20 2805.30
5 0 10 16 147 44 11 0 20 2000.63
6 0 18 138 42 13 152 33 0 20 3615.24
7 0 28 14 143 8 34 0 18 1977.94
8 0 32 137 136 134 135 133 17 148 0 20 3869.97
Day 6
No. Route Load Distance
1 0 1 78 6 23 5 0 20 291.51
2 0 3 20 2 70 25 0 18 244.36
3 0 8 87 142 29 88 9 0 19 1705.63
4 0 11 10 4 75 74 0 19 874.83
5 0 15 124 123 14 121 37 0 19 4573.97
6 0 17 132 40 16 93 21 0 20 3513.28
7 0 19 7 117 12 24 0 18 905.99
8 0 102 18 151 140 13 104 105 0 20 3168.73
Total Distance 90254.82
963
Table C.81: IPH-RCH solution to P2 with W = 5.
Day 1
No. Route Load Distance
1 0 12 4 41 19 42 44 45 33 10 38 0 156 118.31
2 0 18 25 43 23 26 48 27 0 135 110.37
3 0 32 22 2 20 36 35 29 21 34 50 46 0 156 127.50
Day 2
No. Route Load Distance
1 0 2 20 3 28 31 8 0 122 87.93
2 0 6 25 13 41 18 47 0 159 85.59
3 0 11 16 34 30 9 49 5 12 0 158 81.21
Day 3
No. Route Load Distance
1 0 12 38 2 20 35 32 0 131 95.46
2 0 14 25 43 7 23 48 27 0 127 94.54
3 0 18 41 42 44 33 39 34 0 160 136.15
Day 4
No. Route Load Distance
1 0 2 20 3 28 31 8 0 122 87.93
2 0 6 25 13 41 18 47 0 159 85.59
3 0 11 16 34 30 9 49 5 12 0 158 81.21
Day 5
No. Route Load Distance
1 0 1 2 20 34 39 15 37 17 12 0 156 134.98
2 0 7 24 14 25 40 41 18 0 153 134.18
Total Distance 1460.94
964
Table C.82: IPH-RCH solution to P5 with W = 8.
Day 1
No. Route Load Distance
1 0 3 44 32 9 39 72 40 0 135 69.40
2 0 4 52 46 34 67 0 125 34.56
3 0 8 14 66 11 26 0 139 82.48
4 0 51 63 23 42 64 22 28 62 0 127 108.41
5 0 54 13 57 15 36 69 21 48 75 0 138 111.60
Day 2
No. Route Load Distance
1 0 2 28 64 43 1 6 0 138 93.68
2 0 4 27 20 47 21 30 0 138 89.66
3 0 14 66 11 53 0 127 81.57
4 0 17 32 18 24 49 16 33 0 139 91.47
5 0 40 9 31 38 58 0 132 89.80
6 0 67 0 30 10.77
Day 3
No. Route Load Distance
1 0 4 52 54 8 46 34 0 127 59.78
2 0 26 10 39 9 50 32 0 139 83.11
3 0 11 66 59 14 0 129 90.13
4 0 12 40 44 56 64 62 0 138 119.37
5 0 75 28 21 48 5 45 0 139 75.41
6 0 67 0 30 10.77
Day 4
No. Route Load Distance
1 0 1 43 64 28 2 0 119 93.64
2 0 4 27 20 47 21 30 0 138 89.66
3 0 6 33 16 24 32 17 0 140 82.38
4 0 14 66 11 53 0 127 81.57
5 0 40 9 31 38 58 0 132 89.80
6 0 67 0 30 10.77
(cont.)
965
Table C.82 continued.
Day 5
No. Route Load Distance
1 0 4 19 59 14 35 67 0 140 85.08
2 0 7 11 66 65 10 12 0 140 83.18
3 0 32 50 55 25 9 40 0 133 88.19
4 0 45 29 5 37 70 60 71 21 74 0 134 96.25
5 0 68 28 61 64 41 56 73 0 129 119.63
Total Distance 2222.10
966
Table C.83: IPH-RCH solution to P8 with W = 10.
Day 1
No. Route Load Distance
1 0 6 96 59 97 87 2 73 22 41 23 56 39 25 55 0 193 126.15
2 0 18 83 45 46 8 82 48 47 49 64 63 10 69 0 199 144.71
3 0 76 68 80 24 29 78 81 9 71 20 70 31 0 168 121.66
4 0 89 60 5 84 17 86 38 61 85 37 92 94 0 195 108.28
Day 2
No. Route Load Distance
1 0 5 16 86 44 14 100 85 93 0 198 87.93
2 0 13 87 59 95 94 0 124 46.88
3 0 53 58 21 72 75 23 39 54 26 0 181 87.82
4 0 28 12 68 77 79 81 33 50 0 158 68.09
5 0 31 30 32 90 11 19 49 47 48 0 196 120.94
Day 3
No. Route Load Distance
1 0 4 39 67 23 22 87 97 94 0 187 108.67
2 0 27 81 9 66 65 71 34 3 68 76 0 194 132.39
3 0 31 10 62 49 47 48 82 18 89 0 198 101.81
4 0 83 45 5 61 86 38 85 59 96 0 197 115.01
Day 4
No. Route Load Distance
1 0 5 16 86 44 14 100 85 93 0 198 87.93
2 0 13 87 59 95 94 0 124 46.88
3 0 53 58 21 72 75 23 39 54 26 0 181 87.82
4 0 28 12 68 77 79 81 33 50 0 158 68.09
5 0 31 30 32 11 19 49 47 48 0 193 120.81
Day 5
No. Route Load Distance
1 0 1 51 66 65 35 34 81 3 68 0 162 124.62
2 0 5 86 91 85 98 59 99 94 0 177 78.23
3 0 27 31 88 62 49 36 47 48 7 52 0 183 100.62
4 0 40 4 39 67 23 74 57 15 43 42 87 0 174 133.61
Total Distance 2218.95
967
Table C.84: IPH-RCH solution to P10 with W = 10.
Day 1
No. Route Load Distance
1 0 12 54 4 39 23 22 58 0 152 90.07
2 0 31 62 49 47 48 5 6 94 0 195 113.14
3 0 87 42 14 44 86 85 59 95 0 193 85.43
Day 2
No. Route Load Distance
1 0 13 87 41 23 67 39 72 21 0 175 107.42
2 0 31 30 32 66 81 79 68 0 181 111.04
3 0 83 8 45 5 85 93 59 96 94 0 191 79.85
Day 3
No. Route Load Distance
1 0 18 82 48 47 49 19 11 63 10 62 0 195 116.85
2 0 26 12 54 4 75 22 58 53 0 141 79.56
3 0 28 76 77 3 34 65 71 9 33 50 27 0 161 112.55
4 0 89 61 16 86 38 14 44 100 98 97 95 0 195 102.57
Day 4
No. Route Load Distance
1 0 1 31 30 32 66 81 79 68 0 191 119.25
2 0 13 87 23 67 39 72 21 0 170 106.43
3 0 83 45 5 85 93 59 96 94 0 182 74.29
Day 5
No. Route Load Distance
1 0 26 73 74 75 56 25 55 24 29 80 68 3 77 76 28 0 176 113.91
2 0 27 69 70 10 90 20 51 9 71 65 35 34 78 81 33 50 0 191 144.66
3 0 52 88 7 82 48 19 11 64 49 36 47 46 17 84 60 18 0 200 158.67
4 0 53 40 2 57 15 43 38 86 16 61 91 100 37 97 92 99 89 0 199 127.32
Total Distance 1843.01
968
Table C.85: IPH-RCH solution to P11 with W = 14.
Day 1
No. Route Load Distance
1 0 16 92 7 1 28 8 30 9 31 39 0 231 63.68
2 0 25 15 33 19 29 3 4 26 0 233 29.71
3 0 41 24 20 107 21 64 10 13 12 2 43 45 42 0 204 75.14
Day 2
No. Route Load Distance
1 0 16 38 27 48 69 35 90 6 15 37 0 195 37.96
2 0 34 17 99 2 22 13 10 32 63 80 11 14 103 87 0 233 80.70
3 0 67 51 18 128 130 55 8 78 53 52 5 127 36 111 0 228 78.45
Day 3
No. Route Load Distance
1 0 33 29 128 131 26 124 0 229 28.87
2 0 39 31 57 77 9 28 1 5 7 73 105 0 228 62.83
3 0 120 72 2 82 12 108 40 21 20 11 23 24 86 0 208 61.40
Day 4
No. Route Load Distance
1 0 25 15 96 122 74 19 121 128 113 60 8 30 9 115 56 110 58 59 225 58.51116 89 93 68 88 104 0
2 0 34 84 70 98 17 85 2 44 83 12 109 22 13 81 106 10 117 62 214 82.0061 125 119 14 71 101 0
3 0 35 6 130 75 54 76 1 5 126 7 36 47 50 27 49 38 0 233 56.14
Day 5
No. Route Load Distance
1 0 6 5 1 79 114 18 129 94 0 234 54.43
2 0 14 23 11 32 65 118 66 97 46 100 2 17 102 0 215 55.92
3 0 16 95 37 123 112 4 91 0 229 27.23
Total Distance 852.96
969
Table C.86: IPH-RCH solution to P12 with W = 17.
Day 1
No. Route Load Distance
1 0 117 115 114 9 10 29 28 27 22 25 4 3 2 147 150 159 0 140 131.26
2 0 41 42 34 33 32 31 43 44 45 80 46 56 60 61 67 51 48 49 137 172.4072 103 0
3 0 132 156 155 153 160 0 43 49.05
Day 2
No. Route Load Distance
1 0 37 10 6 5 138 139 132 0 136 115.31
2 0 72 88 0 39 66.42
3 0 114 137 122 0 130 75.85
Day 3
No. Route Load Distance
1 0 40 108 36 113 15 13 14 17 23 24 25 26 20 8 3 146 143 149 140 136.36150 154 0
2 0 99 97 96 91 43 47 58 59 57 84 64 62 71 70 52 50 48 81 140 122.55103 0
3 0 131 130 158 153 162 163 135 0 42 49.58
Day 4
No. Route Load Distance
1 0 38 10 5 7 138 132 0 139 115.02
2 0 72 102 101 0 47 58.64
3 0 114 137 129 0 134 75.88
Day 5
No. Route Load Distance
1 0 94 95 90 107 106 39 35 11 12 16 30 18 19 21 5 1 140 144 139 142.03145 123 120 121 124 119 118 126 125 127 128 133 134 0
2 0 100 98 110 97 92 93 89 86 83 85 82 65 69 68 66 55 54 53 112 86.0148 76 79 78 77 75 74 73 87 63 104 0
3 0 105 109 111 112 116 137 141 142 148 151 157 152 161 136 0 139 82.83
Total Distance 1479.19
970
Table C.87: IPH-RCH solution to P13 with W = 42.
Day 1
No. Route Load Distance
1 0 24 150 172 151 164 167 157 156 161 0 1950 86.53
2 0 33 388 405 55 32 20 86 99 0 1980 98.99
3 0 43 82 415 6 57 83 333 94 0 1977 97.33
4 0 79 126 61 60 136 16 118 0 1935 43.18
5 0 102 114 68 336 337 322 334 351 0 1989 113.21
6 0 183 292 314 39 298 38 28 110 294 0 1955 46.52
7 0 197 254 297 370 407 377 367 364 260 0 1998 66.53
8 0 218 224 246 262 242 239 258 230 0 1895 69.16
9 0 225 214 193 192 237 210 204 213 289 281 0 1970 26.21
Day 2
No. Route Load Distance
1 0 3 127 121 88 101 12 0 1900 38.01
2 0 8 21 416 46 49 45 13 30 0 1989 52.57
3 0 10 98 93 34 131 62 132 0 1997 49.89
4 0 19 104 7 112 111 344 338 355 0 1997 106.89
5 0 23 379 368 389 380 400 375 195 0 1914 75.95
6 0 26 0 265 6.96
7 0 67 179 272 266 188 247 310 0 1995 37.62
8 0 78 159 158 169 146 41 123 0 1780 73.62
9 0 261 241 251 301 256 209 232 284 0 1943 70.64
Day 3
No. Route Load Distance
1 0 4 29 5 50 2 417 31 1 27 18 0 1999 88.63
2 0 9 75 17 35 36 171 133 65 0 1851 73.68
3 0 40 404 347 348 345 361 335 341 0 1990 150.47
4 0 128 51 25 15 90 138 0 1834 42.76
5 0 144 107 140 59 11 282 0 1481 42.96
6 0 178 174 181 191 240 245 0 1410 46.82
7 0 202 274 299 382 399 363 383 37 203 0 1855 65.91
(cont.)
971
Table C.87 continued.
Day 3
No. Route Load Distance
8 0 219 295 243 306 305 244 263 0 1919 71.71
9 0 235 288 187 226 196 293 194 267 0 1900 28.13
Day 4
No. Route Load Distance
1 0 22 33 91 105 32 74 122 0 1980 65.26
2 0 28 109 378 365 137 38 39 0 1943 62.58
3 0 52 6 14 20 16 84 175 0 1801 56.36
4 0 58 152 160 269 223 0 1461 70.82
5 0 125 89 69 154 148 24 130 0 1970 87.21
6 0 200 208 217 234 233 248 308 0 1924 28.34
7 0 207 190 291 279 318 277 286 0 1965 70.08
8 0 252 406 369 381 287 283 276 0 1930 53.09
9 0 350 357 393 409 392 384 390 0 1965 117.15
Day 5
No. Route Load Distance
1 0 3 12 119 34 87 53 303 0 1936 48.02
2 0 8 47 23 359 331 81 100 0 1994 91.44
3 0 120 19 117 162 163 278 296 201 0 1863 77.32
4 0 143 366 391 385 402 313 0 1937 70.88
5 0 189 275 257 180 285 221 315 0 1680 35.89
6 0 206 307 264 255 270 300 0 1838 27.61
7 0 227 290 238 198 199 312 231 229 0 1772 37.00
8 0 311 386 373 411 374 410 371 401 414 0 1980 62.66
9 0 330 321 319 329 320 332 145 394 395 0 1920 187.08
Day 6
No. Route Load Distance
1 0 1 346 408 398 403 343 349 353 0 1983 131.39
2 0 10 96 134 97 113 21 30 0 1995 69.17
3 0 11 147 166 165 9 135 0 1845 66.70
4 0 26 142 13 27 64 37 280 0 1760 42.80
5 0 56 92 129 0 945 21.17
(cont.)
972
Table C.87 continued.
Day 6
No. Route Load Distance
6 0 63 4 141 5 85 15 25 77 0 1962 59.08
7 0 72 362 356 354 339 7 35 168 0 1951 102.21
8 0 212 216 271 265 236 220 228 0 1970 40.84
9 0 352 326 324 327 328 323 325 342 360 0 1864 178.98
Day 7
No. Route Load Distance
1 0 17 95 70 358 340 76 36 0 1990 113.71
2 0 29 40 397 413 396 0 1930 110.51
3 0 42 139 66 170 184 316 304 0 1995 46.55
4 0 54 115 73 155 153 149 106 0 1945 65.92
5 0 71 116 0 510 26.37
6 0 80 22 48 103 31 44 2 14 108 0 1973 69.26
7 0 124 18 387 372 249 376 412 268 0 1927 57.81
8 0 176 177 273 317 253 250 173 205 182 0 1938 77.75
9 0 185 222 186 215 211 309 302 259 0 1884 53.34
Total Distance 4353.27
973
Table C.88: IPH-RCH solution to P14 with W = 2.
Day 1
No. Route Load Distance
1 0 1 12 3 9 5 0 16 132.17
2 0 2 4 11 0 12 115.22
Day 2
No. Route Load Distance
1 0 1 8 3 13 14 0 14 124.51
2 0 2 7 16 4 10 15 6 0 18 136.62
Day 3
No. Route Load Distance
1 0 1 12 3 9 5 0 16 132.17
2 0 2 4 11 18 0 13 118.70
Day 4
No. Route Load Distance
1 0 1 3 20 19 8 0 14 119.81
2 0 2 6 10 4 17 7 0 17 121.89
Total Distance 1001.08
974
Table C.89: IPH-RCH solution to P15 with W = 4.
Day 1
No. Route Load Distance
1 0 1 14 18 22 5 19 15 3 7 0 27 276.07
2 0 2 4 17 36 21 6 20 33 16 0 25 313.36
Day 2
No. Route Load Distance
1 0 1 23 24 11 5 3 30 29 10 0 23 228.19
2 0 8 25 26 12 6 4 27 13 28 9 2 0 27 243.37
Day 3
No. Route Load Distance
1 0 1 14 18 37 22 5 19 32 15 3 7 0 29 319.27
2 0 2 4 17 21 6 20 16 0 23 270.16
Day 4
No. Route Load Distance
1 0 1 11 31 5 38 3 10 0 21 211.80
2 0 2 8 12 34 6 35 4 13 9 0 25 223.50
Total Distance 2085.71
975
Table C.90: IPH-RCH solution to P16 with W = 6.
Day 1
No. Route Load Distance
1 0 1 3 20 24 28 32 7 5 29 25 21 17 9 0 38 427.08
2 0 2 36 4 22 26 30 6 8 31 27 23 19 15 0 37 424.34
Day 2
No. Route Load Distance
1 0 1 33 34 13 41 7 5 3 40 16 39 12 0 31 318.75
2 0 10 35 14 18 44 8 6 4 37 11 2 0 31 286.63
Day 3
No. Route Load Distance
1 0 1 3 20 24 28 32 7 5 29 25 21 17 9 0 38 427.08
2 0 2 4 22 26 30 6 8 31 27 23 19 15 38 0 37 424.90
Day 4
No. Route Load Distance
1 0 1 13 42 50 49 5 7 56 55 47 48 3 16 12 0 33 505.22
2 0 2 11 4 45 46 54 53 8 6 52 51 43 18 14 10 0 35 501.50
Total Distance 3315.50
976
Table C.91: IPH-RCH solution to P17 with W = 4.
Day 1
No. Route Load Distance
1 0 1 16 24 5 17 9 0 18 111.40
2 0 3 35 22 8 23 4 0 20 119.93
3 0 2 18 6 20 7 0 19 176.50
Day 2
No. Route Load Distance
1 0 1 25 5 26 0 12 105.83
2 0 2 11 29 30 19 6 28 27 10 0 20 124.31
3 0 3 12 31 32 7 21 13 0 18 115.00
4 0 4 14 8 15 0 14 102.89
Day 3
No. Route Load Distance
1 0 16 24 5 17 9 1 0 18 111.40
2 0 3 22 8 23 38 4 0 20 121.47
3 0 2 18 6 20 7 0 19 176.50
Day 4
No. Route Load Distance
1 0 1 40 5 39 0 12 105.83
2 0 2 10 6 19 11 0 16 107.15
3 0 3 12 33 7 21 34 13 0 18 111.98
4 0 4 15 37 8 36 14 0 16 102.92
Total Distance 1693.11
977
Table C.92: IPH-RCH solution to P18 with W = 8.
Day 1
No. Route Load Distance
1 0 1 28 36 75 44 9 37 62 29 5 13 0 29 231.83
2 0 2 6 30 38 10 39 31 0 23 216.06
3 0 3 7 32 67 40 11 41 70 33 0 25 230.26
4 0 26 8 34 71 42 12 43 35 27 4 0 28 228.98
Day 2
No. Route Load Distance
1 0 1 45 46 21 9 5 60 59 20 0 23 200.30
2 0 15 49 50 23 6 10 22 47 48 14 2 0 27 206.98
3 0 17 53 54 25 7 11 24 51 52 16 3 0 27 207.05
4 0 18 55 56 12 8 57 58 19 4 0 23 198.34
Day 3
No. Route Load Distance
1 0 1 28 36 44 9 37 29 5 13 0 27 217.62
2 0 2 6 30 63 38 10 39 66 31 0 25 230.26
3 0 3 7 32 40 11 41 33 0 23 216.06
4 0 26 34 42 12 43 74 35 8 27 4 0 28 228.98
Day 4
No. Route Load Distance
1 0 1 21 61 9 76 5 20 0 21 188.87
2 0 2 15 23 6 65 10 64 22 14 0 25 193.28
3 0 17 25 7 69 11 68 24 16 3 0 25 193.33
4 0 19 73 12 72 8 18 4 0 21 188.53
Total Distance 3376.73
978
Table C.93: IPH-RCH solution to P19 with W = 12.
Day 1
No. Route Load Distance
1 0 1 40 48 56 64 13 57 49 9 5 17 0 34 326.44
2 0 2 6 10 51 102 59 14 58 50 42 34 0 33 339.94
3 0 3 7 37 45 53 61 15 60 52 11 44 36 0 36 346.67
4 0 4 8 38 91 46 12 54 107 62 16 63 55 47 39 0 38 368.80
Day 2
No. Route Load Distance
1 0 1 65 66 25 33 82 41 13 9 81 5 32 79 80 24 0 36 301.35
2 0 2 19 69 70 27 35 85 43 14 10 84 6 26 67 68 18 0 38 302.38
3 0 3 21 73 74 29 7 88 11 15 104 87 28 71 72 20 0 35 300.91
4 0 4 23 77 78 31 16 12 8 30 75 76 22 0 32 286.60
Day 3
No. Route Load Distance
1 0 1 40 48 56 64 13 57 98 49 9 5 17 0 35 341.47
2 0 2 6 10 51 59 14 58 99 50 42 83 34 0 34 347.05
3 0 3 7 37 45 53 61 15 60 103 52 11 44 36 0 37 361.70
4 0 4 8 38 46 12 54 62 16 63 55 47 39 0 36 346.67
Day 4
No. Route Load Distance
1 0 1 25 33 41 9 97 13 112 111 95 96 5 32 24 0 35 342.91
2 0 19 27 35 86 43 101 14 100 10 6 26 18 2 0 35 290.19
3 0 3 20 28 7 89 11 15 105 106 90 29 21 0 32 304.91
4 0 4 23 31 8 93 94 110 109 16 108 12 92 30 22 0 34 332.46
Total Distance 5240.44
979
Table C.94: IPH-RCH solution to P20 with W = 19.
Day 1
No. Route Load Distance
1 0 1 48 56 64 72 80 88 96 104 21 17 13 81 73 65 57 9 5 56 560.8025 0
2 0 2 6 10 59 67 75 83 91 99 18 22 98 90 82 74 14 66 58 55 620.50124 0
3 0 3 7 11 61 69 77 85 93 101 23 19 15 84 76 68 60 52 0 52 559.27
4 0 4 8 12 63 16 79 87 95 103 24 20 102 94 86 78 70 62 0 52 606.72
Day 2
No. Route Load Distance
1 0 1 33 5 41 49 9 152 13 168 17 153 154 170 97 89 169 21 184 55 710.66183 167 151 135 40 32 0
2 0 2 26 34 42 50 139 155 171 172 18 22 173 174 158 157 14 10 51 54 659.4143 6 35 27 0
3 0 3 28 36 7 44 128 11 145 15 161 19 160 159 175 100 92 176 23 59 703.84177 178 162 146 53 45 37 29 0
4 0 4 31 39 47 55 12 149 71 150 166 182 181 24 20 180 179 163 164 58 704.7816 148 54 46 8 38 30 0
Day 3
No. Route Load Distance
1 0 1 48 56 64 72 80 88 96 104 21 17 13 81 73 65 57 9 121 57 564.785 25 0
2 0 2 6 10 58 66 74 82 90 98 22 18 99 91 83 75 14 67 142 56 635.5359 125 0
3 0 3 7 129 11 61 69 77 85 93 101 23 19 15 84 76 68 60 52 0 53 563.25
4 0 4 8 12 62 147 70 78 86 94 102 24 20 103 95 87 79 16 63 54 623.69133 0
Day 4
No. Route Load Distance
1 0 1 105 106 33 41 122 49 138 89 97 21 17 13 137 9 136 5 40 52 513.18119 120 32 0
2 0 2 26 108 107 34 6 42 123 50 10 140 156 22 18 14 141 51 126 55 496.6143 35 110 109 27 0
3 0 3 28 112 111 36 44 127 143 92 100 23 19 15 144 11 53 130 45 56 532.687 37 114 113 29 0
4 0 4 31 117 118 39 47 134 55 71 165 24 20 16 12 132 54 131 46 56 501.938 38 115 116 30 0
Total Distance 9557.63
980
Table C.95: IPH-RCH solution to P21 with W = 6.
Day 1
No. Route Load Distance
1 0 2 1 6 0 15 40.00
2 0 3 4 5 0 15 40.00
3 0 13 25 7 36 35 12 34 0 20 158.08
4 0 14 26 8 27 28 9 29 0 20 158.07
5 0 18 30 10 31 32 11 33 0 20 158.08
Day 2
No. Route Load Distance
1 0 2 1 6 0 15 40.00
2 0 3 17 46 45 9 44 43 16 0 18 111.78
3 0 4 47 10 48 19 5 0 19 110.65
4 0 15 42 8 40 39 38 7 37 24 0 19 168.24
5 0 21 20 11 12 58 23 22 0 19 167.03
Day 3
No. Route Load Distance
1 0 2 1 6 0 15 40.00
2 0 3 4 5 0 15 40.00
3 0 13 25 7 36 35 12 34 0 20 158.08
4 0 14 26 8 27 28 9 29 0 20 158.07
5 0 18 30 10 31 32 11 33 0 20 158.08
Day 4
No. Route Load Distance
1 0 1 24 59 7 60 2 0 19 110.54
2 0 3 16 9 8 41 15 0 20 151.31
3 0 4 19 50 49 10 17 0 16 116.22
4 0 5 20 51 52 11 53 54 21 0 18 111.78
5 0 6 22 55 56 12 57 23 0 17 106.55
Total Distance 2302.54
981
Table C.96: IPH-RCH solution to P22 with W = 12.
Day 1
No. Route Load Distance
1 0 1 30 42 54 66 13 55 92 43 7 19 0 30 203.77
2 0 2 8 44 56 14 57 45 0 23 199.53
3 0 3 9 47 100 59 15 58 46 0 24 202.96
4 0 4 10 49 104 61 16 60 101 48 77 0 26 206.62
5 0 5 39 11 51 63 17 62 50 38 26 0 29 202.41
6 0 6 41 12 53 112 65 18 64 52 40 0 28 205.84
Day 2
No. Route Load Distance
1 0 1 67 68 31 13 7 90 89 88 87 29 6 0 30 213.62
2 0 2 20 69 70 32 14 8 33 72 71 21 0 27 195.86
3 0 3 23 76 75 35 9 15 34 73 74 22 0 27 195.87
4 0 4 24 78 36 10 16 37 80 25 5 0 30 190.99
5 0 27 84 83 82 81 11 17 18 12 86 85 28 0 30 294.06
Day 3
No. Route Load Distance
1 0 1 30 42 54 66 13 55 43 7 19 0 29 200.34
2 0 2 8 44 93 56 14 57 45 0 24 202.96
3 0 3 9 47 59 15 58 97 46 0 24 202.96
4 0 4 10 48 60 16 61 49 79 0 24 199.76
5 0 5 39 11 51 63 17 62 105 50 38 26 0 30 205.84
6 0 6 41 12 53 65 18 64 52 40 0 27 202.41
Day 4
No. Route Load Distance
1 0 1 31 7 91 13 114 113 29 6 0 27 203.19
2 0 2 20 32 8 94 14 95 96 33 21 0 26 198.52
3 0 3 23 35 9 99 15 98 34 22 0 25 186.32
4 0 5 25 37 10 103 16 102 36 24 4 0 30 191.90
5 0 27 11 106 17 107 108 109 110 18 111 12 28 0 30 287.61
Total Distance 4593.37
982
Table C.97: IPH-RCH solution to P23 with W = 17.
Day 1
No. Route Load Distance
1 0 1 48 60 72 84 96 19 85 73 13 61 49 7 25 0 40 309.63
2 0 2 8 62 74 147 86 20 87 75 14 63 0 33 314.77
3 0 3 9 64 15 76 151 88 21 89 77 65 53 0 35 314.77
4 0 4 10 55 67 79 91 22 90 78 16 66 54 42 0 38 308.92
5 0 5 11 56 68 80 92 23 93 81 17 69 57 0 36 308.92
6 0 6 12 58 70 18 82 94 24 95 83 71 59 47 35 0 40 308.92
Day 2
No. Route Load Distance
1 0 26 38 8 50 14 148 20 149 51 39 27 2 0 34 276.84
2 0 3 28 40 52 152 21 153 15 9 41 29 30 4 0 39 284.37
3 0 5 32 44 11 136 135 158 157 22 156 16 133 10 43 31 0 39 326.96
4 0 6 12 141 142 143 168 19 145 13 144 7 37 36 1 0 40 325.91
5 0 33 45 138 137 17 160 23 161 162 163 164 24 165 18 140 139 46 34 0 38 436.56
Day 3
No. Route Load Distance
1 0 1 123 62 74 86 20 87 150 75 14 63 8 2 0 39 320.04
2 0 3 9 64 15 76 88 21 89 154 77 65 53 0 35 314.77
3 0 4 10 55 134 67 16 79 91 22 90 155 78 66 54 42 0 40 320.06
4 0 5 11 56 68 80 159 92 23 93 81 17 69 57 0 37 316.63
5 0 6 12 58 70 18 82 94 24 95 83 71 59 47 35 0 40 308.92
6 0 25 7 49 122 61 73 146 85 19 96 84 13 72 60 48 0 37 320.57
Day 4
No. Route Load Distance
1 0 1 36 120 119 118 117 116 34 6 0 19 92.27
2 0 2 26 99 100 38 8 50 124 14 20 125 126 51 39 102 101 27 0 39 295.52
3 0 3 29 106 105 41 130 129 21 15 128 127 52 9 40 103 104 28 0 38 306.63
4 0 4 30 108 107 131 22 16 132 10 43 110 109 31 0 32 281.12
5 0 5 32 112 111 44 23 17 11 45 114 113 33 0 32 275.66
6 0 98 97 37 7 121 13 19 167 166 24 18 12 46 115 0 40 404.39
Total Distance 7073.15
983
Table C.98: IPH-RCH solution to P24 with W = 6.
Day 1
No. Route Load Distance
1 0 3 42 40 41 2 1 50 0 20 240.03
2 0 4 45 44 0 8 124.27
3 0 46 5 11 6 49 48 0 17 242.44
Day 2
No. Route Load Distance
1 0 3 9 4 0 11 230.94
2 0 6 35 34 32 33 5 0 16 216.31
3 0 2 18 7 1 38 36 37 0 19 325.05
Day 3
No. Route Load Distance
1 0 1 12 6 15 0 14 243.57
2 0 3 8 21 2 13 0 16 244.90
3 0 5 30 10 4 14 0 16 244.90
Day 4
No. Route Load Distance
1 0 1 39 6 11 5 0 17 304.61
2 0 4 28 29 0 8 171.45
3 0 2 23 22 3 24 25 26 0 18 275.53
Day 5
No. Route Load Distance
1 0 2 19 7 16 17 1 51 0 19 252.35
2 0 4 27 9 3 43 0 15 234.78
3 0 6 5 47 0 10 180.78
Day 6
No. Route Load Distance
1 0 1 12 6 15 0 14 243.57
2 0 3 8 20 2 13 0 16 244.90
3 0 5 31 10 4 14 0 16 244.90
Total Distance 4265.28
984
Table C.99: IPH-RCH solution to P25 with W = 6.
Day 1
No. Route Load Distance
1 0 2 41 42 3 0 14 176.07
2 0 44 45 4 10 5 47 46 0 20 248.55
3 0 49 6 12 1 51 50 0 18 247.32
Day 2
No. Route Load Distance
1 0 1 38 39 36 6 0 16 204.76
2 0 3 8 2 40 0 14 238.52
3 0 4 31 5 33 32 34 0 18 275.53
Day 3
No. Route Load Distance
1 0 1 7 2 13 0 14 243.76
2 0 3 9 4 14 0 14 243.76
3 0 5 11 35 6 15 0 16 244.71
Day 4
No. Route Load Distance
1 0 1 12 37 6 48 0 16 234.78
2 0 2 20 21 3 0 14 200.68
3 0 4 28 29 10 30 5 0 18 244.77
Day 5
No. Route Load Distance
1 0 1 16 18 2 8 22 23 0 20 317.50
2 0 4 27 26 25 24 3 43 0 20 219.00
3 0 5 6 0 10 173.20
Day 6
No. Route Load Distance
1 0 1 17 7 19 2 13 0 18 246.04
2 0 3 9 4 14 0 14 243.76
3 0 5 11 6 15 0 14 243.57
Total Distance 4246.28
985
Table C.100: IPH-RCH solution to P26 with W = 6.
Day 1
No. Route Load Distance
1 0 41 2 1 51 50 0 16 184.70
2 0 42 3 4 45 44 0 16 189.59
3 0 46 5 11 6 49 48 0 19 242.44
Day 2
No. Route Load Distance
1 0 2 7 1 38 15 0 18 285.25
2 0 3 9 4 0 13 230.94
3 0 5 33 32 34 35 6 0 18 216.31
Day 3
No. Route Load Distance
1 0 1 12 37 6 0 15 232.08
2 0 3 8 2 13 0 16 243.76
3 0 5 31 10 4 14 0 18 244.90
Day 4
No. Route Load Distance
1 0 1 39 6 11 5 0 20 304.61
2 0 2 40 23 22 0 11 198.45
3 0 3 24 25 26 4 28 29 0 20 260.74
Day 5
No. Route Load Distance
1 0 1 15 6 5 47 0 20 241.99
2 0 2 21 20 18 19 7 17 16 0 20 297.65
3 0 4 27 9 3 43 0 17 234.78
Day 6
No. Route Load Distance
1 0 1 12 36 6 0 15 232.08
2 0 3 8 2 13 0 16 243.76
3 0 5 30 10 4 14 0 18 244.90
Total Distance 4328.92
986
Table C.101: IPH-RCH solution to P27 with W = 11.
Day 1
No. Route Load Distance
1 0 1 18 100 12 99 52 21 0 20 653.24
2 0 2 56 57 3 58 0 14 178.76
3 0 4 60 5 48 50 6 0 18 271.15
4 0 7 68 67 22 70 8 28 0 20 1287.95
5 0 9 75 24 10 29 11 0 20 1465.92
Day 2
No. Route Load Distance
1 0 3 9 23 71 8 14 0 20 1179.91
2 0 6 49 47 5 45 4 59 0 20 269.58
3 0 12 88 27 90 7 101 54 0 19 1182.20
4 0 19 55 2 32 1 66 0 17 221.68
5 0 95 10 79 25 82 11 97 0 19 1193.09
Day 3
No. Route Load Distance
1 0 1 13 7 30 51 6 0 20 691.80
2 0 2 8 72 74 9 10 0 20 1254.75
3 0 3 15 4 16 5 0 18 346.41
4 0 11 83 26 86 12 17 0 18 1185.62
5 0 20 0 3 80.00
Day 4
No. Route Load Distance
1 0 1 21 6 5 0 15 234.41
2 0 2 34 33 35 38 3 40 0 18 303.99
3 0 4 43 29 11 12 18 0 20 960.42
4 0 7 22 69 8 91 28 37 0 20 1231.44
5 0 9 76 24 77 10 42 41 0 19 1174.39
Day 5
No. Route Load Distance
1 0 3 39 4 44 62 5 0 18 279.01
2 0 6 12 87 27 89 7 0 19 1166.14
3 0 8 23 73 9 94 14 36 0 20 1186.63
4 0 10 78 80 25 81 11 46 0 19 1425.34
5 0 19 2 31 1 65 64 63 0 19 240.20
(cont.)
987
Table C.101 continued.
Day 6
No. Route Load Distance
1 0 1 53 7 102 30 6 0 19 666.10
2 0 2 13 8 92 93 9 0 19 915.29
3 0 3 15 10 96 16 4 0 20 671.76
4 0 5 61 20 0 9 128.89
5 0 17 12 85 26 84 11 98 0 20 1223.52
Total Distance 23269.58
988
Table C.102: IPH-RCH solution to P28 with W = 11.
Day 1
No. Route Load Distance
1 0 1 52 12 11 46 0 19 907.77
2 0 2 56 57 3 58 0 16 178.76
3 0 5 48 47 6 64 0 16 208.26
4 0 8 69 70 67 7 53 66 0 20 1028.13
5 0 9 76 10 4 60 0 19 953.26
Day 2
No. Route Load Distance
1 0 1 21 6 49 5 0 19 250.34
2 0 2 3 40 42 4 0 19 261.52
3 0 7 22 8 71 23 28 55 0 20 1662.86
4 0 54 30 12 26 11 29 45 0 20 1284.78
5 0 9 75 24 78 10 43 44 0 20 1174.39
Day 3
No. Route Load Distance
1 0 2 1 18 51 6 0 19 289.82
2 0 5 11 25 10 16 0 19 1174.19
3 0 15 9 74 72 8 33 34 0 20 993.83
4 0 17 12 27 89 7 13 32 0 20 1209.11
5 0 19 35 14 3 39 4 20 0 20 325.52
Day 4
No. Route Load Distance
1 0 1 2 3 4 0 20 288.68
2 0 5 98 81 80 10 96 95 0 20 948.01
3 0 6 101 102 90 7 0 16 839.39
4 0 92 8 91 93 9 94 0 18 894.41
5 0 97 11 83 85 12 100 99 0 20 1023.58
Day 5
No. Route Load Distance
1 0 1 65 63 6 5 0 19 235.23
2 0 2 38 37 3 4 0 19 258.42
3 0 10 77 24 9 73 23 28 0 20 1666.13
4 0 12 86 26 84 11 29 62 0 20 1232.65
5 0 21 30 7 68 22 8 36 0 20 1231.80
(cont.)
989
Table C.102 continued.
Day 6
No. Route Load Distance
1 0 1 31 2 19 3 0 19 250.24
2 0 4 15 9 8 14 0 19 920.48
3 0 6 50 17 5 61 20 59 0 20 265.93
4 0 16 11 82 25 79 10 41 0 20 1192.93
5 0 18 12 88 87 27 7 13 0 20 1257.14
Total Distance 24407.57
990
Table C.103: IPH-RCH solution to P29 with W = 11.
Day 1
No. Route Load Distance
1 0 1 2 19 0 13 186.02
2 0 3 9 28 91 8 0 20 885.88
3 0 4 60 62 5 0 14 173.49
4 0 11 81 25 79 10 29 0 20 1230.21
5 0 17 12 100 99 6 63 0 19 644.71
6 0 18 30 27 90 7 68 67 0 20 1362.95
Day 2
No. Route Load Distance
1 0 1 7 101 54 66 21 0 19 600.83
2 0 2 55 0 7 123.05
3 0 20 5 47 49 6 0 17 206.03
4 0 9 74 23 71 8 13 0 20 1185.63
5 0 12 86 26 84 11 16 0 20 1185.63
6 0 3 15 10 95 4 0 20 626.93
Day 3
No. Route Load Distance
1 0 1 6 5 0 15 230.94
2 0 2 56 57 3 0 14 176.07
3 0 4 43 45 46 11 48 0 18 633.75
4 0 9 76 24 77 78 10 0 19 1223.87
5 0 14 72 8 69 22 70 31 0 19 1320.27
6 0 52 12 88 87 89 7 53 0 20 1085.19
Day 4
No. Route Load Distance
1 0 1 33 35 2 0 14 244.91
2 0 4 42 40 3 58 19 0 19 217.21
3 0 5 17 6 0 13 230.94
4 0 7 27 12 30 18 0 19 1218.78
5 0 8 28 94 9 37 38 0 19 894.14
6 0 11 82 25 80 10 29 0 20 1230.21
Day 5
No. Route Load Distance
1 0 2 13 7 1 65 0 20 615.01
(cont.)
991
Table C.103 continued.
Day 5
No. Route Load Distance
2 0 3 39 15 4 44 59 0 19 279.23
3 0 8 23 73 9 10 0 20 1449.09
4 0 12 26 83 11 97 16 0 20 1184.46
5 0 20 5 6 21 0 16 198.65
Day 6
No. Route Load Distance
1 0 1 32 34 2 36 0 16 248.22
2 0 3 41 4 0 12 189.14
3 0 6 50 5 0 12 200.68
4 0 14 92 8 22 7 102 0 20 1216.64
5 0 64 51 12 85 11 98 61 0 20 992.60
6 0 93 9 75 24 10 96 0 19 1236.20
Total Distance 24927.55
992
Table C.104: IPH-RCH solution to P30 with W = 16.
Day 1
No. Route Load Distance
1 0 2 72 3 4 0 14 231.14
2 0 10 92 91 90 9 89 106 107 0 20 1303.72
3 0 5 6 79 81 1 80 0 18 233.92
4 0 8 14 118 119 13 83 82 0 20 3058.34
5 0 11 17 135 41 18 45 0 20 3673.48
6 0 67 115 12 103 7 116 68 69 0 20 1059.54
7 0 15 126 39 129 16 94 35 0 20 3538.02
Day 2
No. Route Load Distance
1 0 4 22 5 77 26 6 0 20 332.33
2 0 27 1 2 53 3 0 17 259.67
3 0 7 33 153 13 42 18 0 20 3706.18
4 0 8 84 28 14 43 9 0 20 2208.59
5 0 10 95 31 44 149 17 99 0 20 2044.52
6 0 30 16 128 127 15 145 34 0 20 3089.71
7 0 11 32 100 101 12 114 36 0 20 1285.25
Day 3
No. Route Load Distance
1 0 4 21 3 73 25 0 16 244.36
2 0 76 5 0 6 118.16
3 0 6 24 1 19 2 71 0 20 349.11
4 0 7 13 141 139 18 12 0 20 3056.81
5 0 110 10 111 96 97 11 23 0 19 1059.71
6 0 15 125 38 122 14 120 37 0 20 5015.55
7 0 51 20 108 9 29 86 8 0 20 1206.57
8 0 98 17 133 40 130 16 146 0 19 3584.65
Day 4
No. Route Load Distance
1 0 1 47 46 49 48 50 2 0 18 260.54
2 0 3 52 109 54 55 56 57 4 0 20 517.01
3 0 5 63 62 64 65 6 66 0 18 260.74
(cont.)
993
Table C.104 continued.
Day 4
No. Route Load Distance
4 0 7 45 13 14 8 0 19 2857.58
5 0 9 15 39 16 10 0 19 3464.10
6 0 12 150 18 137 41 17 0 19 3529.09
7 0 59 58 35 112 11 61 60 0 17 660.64
Day 5
No. Route Load Distance
1 0 1 36 12 11 113 22 0 20 984.57
2 0 2 8 34 3 0 15 651.91
3 0 4 26 5 6 27 0 18 246.93
4 0 7 152 13 140 42 138 33 0 20 3337.29
5 0 9 30 16 147 44 10 0 20 2211.95
6 0 15 144 43 143 14 28 85 0 20 2811.53
7 0 31 148 17 134 136 18 32 0 20 3166.20
Day 6
No. Route Load Distance
1 0 1 19 2 70 25 3 0 20 292.65
2 0 4 21 10 93 9 20 0 20 1057.87
3 0 7 104 105 102 151 18 12 0 20 2077.23
4 0 8 14 121 37 13 117 0 19 3492.01
5 0 11 17 132 40 131 16 0 19 3498.40
6 0 74 75 5 23 24 6 78 0 20 369.22
7 0 87 29 142 123 38 124 15 88 0 20 3395.12
Total Distance 79801.93
994
Table C.105: IPH-RCH solution to P31 with W = 16.
Day 1
No. Route Load Distance
1 0 2 53 52 3 0 14 200.68
2 0 4 58 59 60 61 5 0 18 216.31
3 0 6 67 66 69 68 1 80 0 20 219.01
4 0 7 13 14 8 0 20 2598.08
5 0 31 44 17 41 137 18 103 0 20 3701.58
6 0 55 54 109 9 92 10 56 0 20 982.48
7 0 63 11 101 12 65 79 0 18 1026.39
8 0 107 106 15 39 16 94 111 0 20 3596.00
Day 2
No. Route Load Distance
1 0 2 1 27 6 0 17 234.41
2 0 3 9 34 8 25 0 19 889.00
3 0 4 77 5 0 12 173.40
4 0 7 13 118 119 37 121 28 0 20 3462.66
5 0 12 32 18 139 42 33 36 0 20 3460.53
6 0 15 125 38 123 122 14 84 0 20 3699.70
7 0 23 11 95 10 35 22 26 0 20 1029.25
8 0 30 16 130 40 133 17 99 0 20 3660.47
Day 3
No. Route Load Distance
1 0 1 47 46 49 48 2 71 0 20 219.00
2 0 4 57 21 3 73 0 16 234.78
3 0 6 5 76 0 12 175.90
4 0 7 13 152 45 18 0 19 2657.64
5 0 24 114 12 98 11 62 0 18 977.03
6 0 29 145 15 144 43 14 86 0 20 2819.72
7 0 19 8 108 9 20 50 51 0 20 919.71
8 0 96 17 16 10 110 0 19 2657.37
Day 4
No. Route Load Distance
1 0 1 115 12 11 113 0 19 963.25
(cont.)
995
Table C.105 continued.
Day 4
No. Route Load Distance
2 0 2 8 14 142 143 0 19 1864.13
3 0 3 4 5 6 0 20 288.67
4 0 9 15 126 127 39 129 128 0 20 3628.11
5 0 10 146 16 147 149 44 31 0 20 2384.21
6 0 18 136 41 134 135 17 148 0 20 3712.03
7 0 116 7 153 13 141 138 151 0 20 2846.54
Day 5
No. Route Load Distance
1 0 1 81 27 0 9 128.89
2 0 2 25 3 4 0 17 234.31
3 0 5 23 12 36 6 0 19 686.88
4 0 7 85 8 34 9 0 19 1251.18
5 0 10 97 11 112 35 22 26 0 20 1070.52
6 0 15 124 38 14 120 37 28 0 20 4998.40
7 0 30 16 131 40 17 32 100 0 20 3760.04
8 0 33 150 18 42 140 13 83 0 20 3643.33
Day 6
No. Route Load Distance
1 0 1 19 2 70 3 0 19 288.87
2 0 4 75 74 0 9 124.27
3 0 5 64 6 78 0 14 191.83
4 0 8 82 13 45 18 0 19 2840.56
5 0 11 17 132 16 93 0 19 2865.13
6 0 21 10 91 90 9 20 72 0 20 1045.95
7 0 12 102 105 104 7 117 24 0 20 1067.78
8 0 87 29 14 43 15 88 89 0 20 2841.47
Total Distance 82537.45
996
Table C.106: IPH-RCH solution to P32 with W = 16.
Day 1
No. Route Load Distance
1 0 2 72 3 4 0 17 231.14
2 0 5 10 92 91 9 0 19 999.71
3 0 6 79 69 68 1 81 80 0 20 214.15
4 0 14 121 118 119 13 45 0 19 3263.68
5 0 15 126 39 129 16 94 0 19 3526.50
6 0 31 17 41 136 18 103 0 20 3643.32
7 0 67 115 12 101 100 11 113 0 20 1079.24
8 0 107 106 8 82 83 7 116 0 20 1060.91
Day 2
No. Route Load Distance
1 0 1 7 36 114 12 0 20 885.88
2 0 2 53 34 9 3 0 20 671.62
3 0 4 10 95 35 22 0 18 803.22
4 0 8 84 28 14 142 43 0 20 2150.40
5 0 11 99 32 17 149 44 0 20 2150.40
6 0 26 77 5 6 27 0 18 199.25
7 0 30 16 128 127 15 145 0 19 3072.64
8 0 33 153 13 140 42 18 0 20 3645.98
Day 3
No. Route Load Distance
1 0 1 24 7 19 71 0 18 648.26
2 0 2 51 20 3 73 25 0 20 245.50
3 0 4 76 5 23 6 0 20 291.51
4 0 8 86 29 108 9 21 0 20 1238.21
5 0 12 18 139 141 13 0 19 3056.81
6 0 15 125 38 14 120 37 0 20 4998.40
7 0 17 133 40 130 16 146 0 19 3538.83
8 0 98 11 97 96 111 10 110 0 20 1262.38
Day 4
No. Route Load Distance
1 0 1 47 46 49 48 2 0 18 216.31
(cont.)
997
Table C.106 continued.
Day 4
No. Route Load Distance
2 0 3 56 57 58 59 4 0 18 256.46
3 0 5 63 62 64 65 6 0 18 216.31
4 0 7 13 45 12 66 0 20 1998.86
5 0 10 31 11 112 61 60 0 19 1172.89
6 0 16 39 15 14 85 0 20 4375.95
7 0 17 135 41 137 18 150 0 19 3538.83
8 0 52 50 8 109 9 54 55 0 20 931.61
Day 5
No. Route Load Distance
1 0 1 2 3 0 15 230.94
2 0 5 22 4 26 0 16 243.76
3 0 6 12 36 27 0 16 641.43
4 0 7 28 14 143 8 0 20 1991.22
5 0 9 15 144 43 89 34 0 20 1944.75
6 0 10 44 147 16 30 90 0 20 2183.17
7 0 18 138 42 13 152 33 0 20 3615.24
8 0 32 134 17 148 11 35 0 20 2518.19
Day 6
No. Route Load Distance
1 0 1 24 6 5 0 18 288.68
2 0 3 20 2 70 25 0 18 244.36
3 0 14 37 13 151 18 0 20 4333.08
4 0 17 132 40 131 16 93 0 19 3526.50
5 0 19 8 87 9 21 74 0 20 1001.12
6 0 23 11 10 4 75 0 20 893.09
7 0 29 123 122 38 124 15 88 0 19 3490.75
8 0 78 12 102 105 104 7 117 0 20 1062.48
Total Distance 83793.91
998
Table C.107: IPH-RCR solution to P2.
Day 1
No. Route Load Distance
1 0 4 41 40 19 42 44 15 37 17 12 0 132 108.52
2 0 18 25 24 43 23 26 31 48 27 0 156 126.04
3 0 32 2 20 29 21 34 50 38 46 0 140 93.18
Day 2
No. Route Load Distance
1 0 6 25 13 41 18 47 0 159 85.59
2 0 8 3 20 2 11 0 116 85.64
3 0 12 5 49 10 39 30 34 9 16 0 158 100.92
Day 3
No. Route Load Distance
1 0 12 41 42 44 45 33 34 38 0 159 133.89
2 0 18 25 14 43 7 23 48 0 153 98.59
3 0 27 1 22 31 28 36 35 20 2 32 0 148 109.15
Day 4
No. Route Load Distance
1 0 6 25 13 41 18 47 0 159 85.59
2 0 8 3 20 2 11 0 116 85.64
3 0 12 5 49 39 30 34 9 16 0 153 100.33
Day 5
No. Route Load Distance
1 0 7 28 35 20 2 34 33 0 157 172.71
2 0 12 18 41 25 14 0 146 85.29
Total Distance 1471.09
999
Table C.108: IPH-RCR solution to P5.
Day 1
No. Route Load Distance
1 0 3 44 32 9 39 40 0 134 63.22
2 0 8 14 66 11 26 0 139 82.48
3 0 34 52 54 13 48 4 75 0 136 78.13
4 0 47 21 61 64 28 62 0 137 116.49
5 0 67 0 30 10.77
Day 2
No. Route Load Distance
1 0 2 28 64 43 1 6 0 138 93.68
2 0 4 46 67 0 87 27.68
3 0 35 14 66 11 53 0 137 81.69
4 0 17 32 18 24 49 16 33 0 139 91.47
5 0 30 21 36 37 20 57 27 0 129 93.09
6 0 40 9 31 38 58 0 132 89.80
Day 3
No. Route Load Distance
1 0 4 52 54 8 34 67 0 130 60.39
2 0 11 66 59 14 0 129 90.13
3 0 12 40 9 39 10 26 0 138 68.92
4 0 28 21 47 5 48 45 0 138 77.83
5 0 44 32 50 56 64 62 0 139 131.12
6 0 75 0 20 6.00
Day 4
No. Route Load Distance
1 0 2 28 64 42 43 1 73 0 136 94.24
2 0 4 46 67 0 87 27.68
3 0 6 33 16 24 32 17 0 140 82.38
4 0 14 66 11 53 0 127 81.57
5 0 27 15 20 70 60 71 69 21 30 0 132 101.93
6 0 40 9 31 38 58 0 132 89.80
(cont.)
1000
Table C.108 continued.
Day 5
No. Route Load Distance
1 0 4 45 29 5 21 74 68 0 133 66.86
2 0 7 14 59 19 67 0 115 79.97
3 0 11 66 65 10 72 12 0 126 83.38
4 0 28 22 64 41 56 23 63 51 0 139 108.80
5 0 32 50 55 25 9 40 0 133 88.19
Total Distance 2167.67
1001
Table C.109: IPH-RCR solution to P8.
Day 1
No. Route Load Distance
1 0 5 61 86 38 43 15 23 39 56 73 53 0 194 146.78
2 0 18 82 48 11 64 49 47 46 8 45 83 60 89 0 197 138.65
3 0 31 10 20 71 9 81 29 24 68 76 0 170 123.14
4 0 87 97 37 98 85 59 99 96 94 0 172 58.20
Day 2
No. Route Load Distance
1 0 69 1 33 81 79 77 68 12 28 0 161 72.32
2 0 5 16 86 44 14 100 85 93 0 198 87.93
3 0 13 87 92 59 95 94 0 126 47.11
4 0 26 54 55 25 39 23 75 22 74 72 21 40 0 192 95.01
5 0 31 30 32 90 19 49 36 47 48 0 189 124.14
Day 3
No. Route Load Distance
1 0 4 39 67 23 87 97 59 94 0 197 113.42
2 0 27 31 10 62 11 49 47 48 82 0 199 101.69
3 0 50 81 9 66 65 71 34 78 3 68 76 0 194 130.65
4 0 53 58 0 32 18.63
5 0 89 18 83 45 5 61 86 38 91 85 96 0 197 116.81
Day 4
No. Route Load Distance
1 0 5 16 86 44 14 100 85 93 0 198 87.93
2 0 13 87 59 95 94 0 124 46.88
3 0 26 54 39 23 75 22 72 21 0 167 90.52
4 0 28 12 80 68 77 79 81 33 0 151 69.18
5 0 31 70 30 32 63 19 49 47 48 0 196 121.38
Day 5
No. Route Load Distance
1 0 4 39 67 23 41 57 42 87 2 58 0 172 121.06
2 0 6 5 84 17 86 85 59 94 0 169 79.33
3 0 52 7 48 47 49 62 88 31 27 0 178 96.63
4 0 50 51 66 65 35 34 81 3 68 0 165 125.50
Total Distance 2212.91
1002
Table C.110: IPH-RCR solution to P11.
Day 1
No. Route Load Distance
1 0 16 39 68 88 41 24 20 21 10 13 12 40 83 2 120 70 0 233 82.46
2 0 25 15 33 19 29 3 4 26 0 233 29.71
3 0 50 69 27 48 7 1 28 8 30 9 77 57 31 59 116 0 232 78.68
Day 2
No. Route Load Distance
1 0 6 36 5 127 8 60 110 18 113 128 130 96 15 0 234 56.44
2 0 16 38 35 37 95 105 0 131 12.67
3 0 34 17 99 2 82 22 13 81 64 32 63 107 11 61 125 119 14 71 0 228 81.94
Day 3
No. Route Load Distance
1 0 24 23 11 20 10 21 65 108 109 12 2 72 100 0 233 61.30
2 0 26 7 5 1 28 79 9 115 56 58 31 67 0 232 61.75
3 0 39 93 94 121 29 128 131 33 123 0 233 29.52
Day 4
No. Route Load Distance
1 0 34 84 17 85 2 12 22 13 106 10 80 118 66 97 14 42 86 101 0 230 76.91
2 0 36 7 1 5 52 53 78 9 30 114 8 55 75 130 128 0 233 75.97
3 0 38 35 73 90 124 6 19 74 122 15 25 91 0 188 22.80
Day 5
No. Route Load Distance
1 0 16 49 27 47 92 111 126 5 1 76 54 37 0 235 54.17
2 0 104 87 103 14 23 62 11 117 32 46 45 43 44 2 17 98 102 0 232 54.77
3 0 89 51 18 129 4 6 112 0 232 32.58
Total Distance 811.67
1003
Table C.111: IPH-RCR solution to P12.
Day 1
No. Route Load Distance
1 0 97 86 62 69 52 48 46 43 44 45 80 79 78 77 72 81 103 0 139 152.98
2 0 120 114 15 10 11 12 13 19 22 26 25 4 3 150 0 140 128.32
3 0 134 133 132 159 153 152 160 161 162 163 135 0 59 49.08
Day 2
No. Route Load Distance
1 0 100 99 98 89 88 85 84 64 65 67 66 55 56 54 53 51 48 76 124 75.1872 102 0
2 0 109 108 38 37 10 8 5 2 139 157 132 0 140 115.77
3 0 114 137 138 156 0 140 76.49
Day 3
No. Route Load Distance
1 0 94 95 110 96 97 92 93 91 90 41 42 34 33 32 31 43 47 58 129 127.2259 57 60 61 82 83 101 103 0
2 0 105 40 107 106 39 35 16 14 29 17 30 28 18 27 23 24 25 21 139 135.4320 3 148 149 150 153 0
Day 4
No. Route Load Distance
1 0 72 75 74 73 48 49 50 71 70 68 87 63 104 0 91 71.90
2 0 111 36 112 10 6 5 138 132 0 140 115.04
3 0 121 137 114 122 123 125 0 138 75.98
Day 5
No. Route Load Distance
1 0 127 126 124 115 137 9 116 113 117 119 118 128 0 138 77.66
2 0 131 130 129 155 154 145 144 143 142 141 140 1 7 5 146 147 151 158 140 110.11136 0
Total Distance 1311.17
1004
Table C.112: IPH-RCR solution to P18.
Day 1
No. Route Load Distance
1 0 1 13 5 29 37 9 44 75 36 28 59 0 29 225.91
2 0 2 49 6 30 63 38 10 39 31 50 0 26 224.43
3 0 3 52 7 33 41 11 40 32 51 0 25 217.33
4 0 4 26 8 34 42 12 43 74 35 27 58 0 29 229.96
Day 2
No. Route Load Distance
1 0 1 20 5 76 9 21 46 0 21 189.13
2 0 2 14 22 6 10 65 23 15 0 24 189.30
3 0 3 16 24 7 11 69 25 17 0 24 189.35
4 0 4 18 56 8 12 73 19 0 21 184.57
Day 3
No. Route Load Distance
1 0 1 28 36 44 9 37 62 29 5 45 13 0 29 224.74
2 0 2 48 6 31 66 39 10 38 30 47 0 26 224.43
3 0 3 53 7 32 67 40 11 41 70 33 54 0 27 231.53
4 0 4 27 35 43 12 42 71 34 8 26 55 0 29 229.96
Day 4
No. Route Load Distance
1 0 1 21 61 9 5 60 20 0 21 184.91
2 0 2 14 22 64 10 6 23 15 0 24 189.30
3 0 3 17 25 7 11 68 24 16 0 24 189.35
4 0 4 18 72 12 8 57 19 0 21 184.57
Total Distance 3308.77
1005
Table C.113: IPH-RCR solution to P23.
Day 1
No. Route Load Distance
1 0 1 120 60 72 13 84 167 96 19 85 73 61 121 7 97 25 0 40 316.20
2 0 2 101 8 62 74 147 86 20 87 150 75 14 63 126 102 0 37 324.76
3 0 3 9 64 15 76 151 88 21 89 77 65 53 106 0 36 315.00
4 0 4 109 10 55 67 16 79 91 22 90 155 78 66 131 54 107 0 40 320.63
5 0 5 112 11 57 69 17 81 93 23 92 80 68 135 56 111 0 39 312.92
6 0 6 117 12 58 140 70 18 82 94 24 95 166 83 71 59 118 0 40 320.63
Day 2
No. Route Load Distance
1 0 1 36 37 49 145 19 168 13 144 7 48 119 35 6 0 39 283.05
2 0 2 26 38 8 50 148 20 14 125 51 39 27 0 34 272.51
3 0 3 28 40 52 127 152 21 15 9 41 29 4 0 37 275.43
4 0 5 33 45 11 134 157 22 16 10 43 42 30 31 0 39 321.38
5 0 32 44 17 23 162 163 164 24 165 18 141 12 47 46 34 0 40 419.58
Day 3
No. Route Load Distance
1 0 1 7 60 143 72 84 96 19 85 146 73 13 61 122 98 25 0 40 322.23
2 0 2 100 8 63 14 75 87 20 86 74 62 123 99 0 35 309.34
3 0 3 105 53 130 65 77 154 89 21 88 76 15 64 9 104 0 38 318.77
4 0 4 108 10 54 66 16 78 90 22 91 158 79 67 55 110 0 39 317.20
5 0 5 113 11 56 68 80 159 92 23 93 81 17 69 138 57 114 0 40 320.63
6 0 6 116 12 59 142 71 83 95 24 94 82 18 70 139 58 115 0 40 316.35
Day 4
No. Route Load Distance
1 0 1 26 38 8 50 124 14 20 149 51 39 27 2 0 39 278.10
2 0 3 29 41 9 129 153 21 15 128 52 40 103 28 0 34 269.50
3 0 4 30 42 10 132 156 22 16 133 43 31 5 0 36 273.29
4 0 6 35 34 46 45 11 137 161 23 160 17 136 44 32 33 0 38 313.33
5 0 36 48 37 7 49 13 19 24 18 12 47 0 40 415.70
Total Distance 6936.54
1006
Table C.114: IPH-RCR solution to P25.
Day 1
No. Route Load Distance
1 0 1 16 19 2 3 0 19 250.95
2 0 4 29 30 5 6 0 19 250.95
Day 2
No. Route Load Distance
1 0 2 21 23 3 4 0 19 250.95
2 0 5 32 34 6 1 0 19 250.95
Day 3
No. Route Load Distance
1 0 1 17 7 2 20 8 13 0 20 333.23
2 0 3 24 9 4 28 10 14 0 20 333.23
3 0 5 33 11 6 37 12 15 0 20 333.23
Day 4
No. Route Load Distance
1 0 41 2 40 42 3 43 0 18 178.88
2 0 44 4 45 47 5 46 0 18 178.88
3 0 48 6 49 51 1 50 0 18 178.88
Day 5
No. Route Load Distance
1 0 2 1 39 36 6 0 19 250.95
2 0 3 25 26 4 5 0 19 250.95
Day 6
No. Route Load Distance
1 0 2 18 7 1 38 12 15 0 20 333.23
2 0 4 27 9 3 22 8 13 0 20 333.23
3 0 6 35 11 5 31 10 14 0 20 333.23
Total Distance 4041.72
1007
Table C.115: IPH-RCR solution to P29.
Day 1
No. Route Load Distance
1 0 1 53 54 18 51 6 0 19 244.77
2 0 3 9 93 28 8 0 20 885.88
3 0 4 44 45 5 48 17 0 19 294.36
4 0 11 81 25 79 10 29 0 20 1230.21
5 0 12 88 27 89 7 30 0 20 1230.21
6 0 19 55 2 56 0 12 131.58
Day 2
No. Route Load Distance
1 0 2 35 36 38 3 57 58 0 20 213.57
2 0 5 61 20 60 4 59 0 19 180.48
3 0 6 63 21 66 1 65 0 19 180.57
4 0 8 69 22 68 7 13 0 20 1185.63
5 0 12 85 26 84 11 16 0 20 1185.63
6 0 15 10 9 74 23 72 0 20 1402.07
Day 3
No. Route Load Distance
1 0 1 32 31 34 2 0 16 204.76
2 0 3 37 14 92 8 33 0 19 622.27
3 0 4 43 98 11 97 46 62 0 20 651.27
4 0 6 49 47 5 0 14 193.21
5 0 9 76 24 77 10 96 0 19 1204.03
6 0 52 99 12 87 90 7 101 0 20 993.77
Day 4
No. Route Load Distance
1 0 1 6 50 17 5 0 20 289.82
2 0 2 19 3 41 4 0 20 250.24
3 0 8 28 94 9 39 40 0 19 894.14
4 0 11 82 25 80 10 29 0 20 1230.21
5 0 12 27 7 30 18 0 19 1218.78
Day 5
No. Route Load Distance
1 0 2 1 21 64 6 0 20 235.05
2 0 3 42 4 20 5 0 20 261.78
(cont.)
1008
Table C.115 continued.
Day 5
No. Route Load Distance
3 0 8 70 22 67 7 13 0 20 1185.63
4 0 12 86 26 83 11 16 0 20 1185.63
5 0 15 10 9 73 23 71 0 20 1439.80
Day 6
No. Route Load Distance
1 0 1 6 5 4 0 20 288.67
2 0 2 8 91 14 3 0 20 636.80
3 0 7 102 100 12 11 0 19 1156.14
4 0 9 75 24 78 10 95 0 19 1179.61
Total Distance 23686.57
1009
Table C.116: IPH-RCR solution to P31.
Day 1
No. Route Load Distance
1 0 1 114 115 12 6 0 19 647.27
2 0 2 50 51 53 3 0 16 204.76
3 0 5 76 75 4 74 0 16 178.76
4 0 7 13 141 138 18 0 19 2898.24
5 0 8 14 142 144 15 0 19 2602.40
6 0 11 10 9 109 52 0 19 1168.89
7 0 92 93 16 44 148 17 97 0 20 2733.83
Day 2
No. Route Load Distance
1 0 1 7 117 36 12 0 19 885.88
2 0 2 25 73 3 4 0 19 234.91
3 0 8 28 121 37 119 118 13 0 20 3540.01
4 0 9 30 39 129 16 40 31 0 20 4826.55
5 0 15 124 38 123 122 14 34 0 20 3705.58
6 0 22 10 110 35 112 11 23 0 20 927.89
7 0 26 77 5 63 62 6 27 0 20 226.73
8 0 32 17 41 137 18 42 33 0 20 5115.23
Day 3
No. Route Load Distance
1 0 1 47 46 19 48 49 2 0 20 256.32
2 0 3 4 5 6 0 20 288.67
3 0 7 13 45 151 18 0 19 2657.64
4 0 8 14 43 29 86 106 20 0 20 1979.22
5 0 9 88 145 15 90 91 21 0 20 1861.84
6 0 10 16 147 149 17 0 19 2602.40
7 0 11 99 98 100 101 12 24 0 20 1101.04
Day 4
No. Route Load Distance
1 0 1 81 79 6 0 14 173.49
2 0 4 58 59 60 61 5 0 18 216.31
3 0 9 10 111 113 11 0 19 1156.14
(cont.)
1010
Table C.116 continued.
Day 4
No. Route Load Distance
4 0 15 126 127 128 16 146 94 0 20 3117.48
5 0 44 17 135 134 136 18 150 0 20 3304.10
6 0 55 54 3 72 70 2 71 0 20 232.17
7 0 64 65 12 102 105 7 116 0 20 987.85
8 0 107 8 14 13 152 0 19 2651.98
Day 5
No. Route Load Distance
1 0 1 80 27 78 6 0 16 177.82
2 0 2 8 34 108 9 0 19 885.88
3 0 5 26 4 3 25 0 19 247.12
4 0 11 96 31 95 10 35 22 0 20 1230.21
5 0 13 140 42 139 18 41 32 0 20 4998.40
6 0 15 125 38 14 120 37 28 0 20 4998.40
7 0 17 133 40 130 16 39 30 0 20 4998.40
8 0 23 12 103 33 104 7 36 0 20 1249.70
Day 6
No. Route Load Distance
1 0 1 68 69 24 66 67 6 0 20 256.32
2 0 2 20 9 10 21 0 19 920.48
3 0 3 56 57 4 5 0 19 258.42
4 0 8 84 85 82 83 7 19 0 20 1101.04
5 0 11 17 132 131 16 0 19 2898.24
6 0 12 18 45 153 13 0 19 2657.64
7 0 89 15 43 14 143 29 87 0 20 2839.21
Total Distance 82200.85
1011
Table C.117: IPH-RCH solution to P2 with W = 10.
Day 1
No. Route Load Distance
1 0 12 4 41 19 42 44 45 33 10 38 0 156 118.31
2 0 18 25 24 43 7 23 48 0 142 95.51
3 0 26 31 28 20 29 21 34 50 2 32 46 0 157 130.65
Day 2
No. Route Load Distance
1 0 2 20 35 36 3 22 8 27 0 143 104.63
2 0 6 25 13 41 18 47 0 159 85.59
3 0 11 16 34 30 9 49 5 12 0 158 81.21
Day 3
No. Route Load Distance
1 0 12 18 25 14 0 119 57.79
2 0 32 2 20 28 31 7 43 23 48 0 158 127.40
3 0 38 34 39 33 44 42 40 41 0 141 150.09
Day 4
No. Route Load Distance
1 0 2 20 35 3 8 27 0 129 93.32
2 0 6 25 13 41 18 47 0 159 85.59
3 0 11 16 34 30 9 49 5 12 0 158 81.21
Day 5
No. Route Load Distance
1 0 1 2 20 34 39 15 37 17 12 0 156 134.98
2 0 14 25 41 18 0 117 77.96
Total Distance 1424.22
1012
Table C.118: IPH-RCH solution to P5 with W = 21.
Day 1
No. Route Load Distance
1 0 3 44 32 9 39 40 0 134 63.22
2 0 4 75 0 50 15.46
3 0 8 14 66 11 26 0 139 82.48
4 0 21 48 15 57 13 54 67 0 128 98.56
5 0 28 22 64 42 41 56 23 63 0 138 108.26
Day 2
No. Route Load Distance
1 0 2 28 64 43 1 6 0 138 93.68
2 0 27 20 37 36 47 21 30 0 134 92.96
3 0 9 31 10 38 58 0 125 90.99
4 0 11 66 59 14 0 129 90.13
5 0 51 16 24 32 40 17 0 139 76.58
6 0 4 34 46 67 0 106 27.76
Day 3
No. Route Load Distance
1 0 75 4 52 54 8 67 0 131 59.69
2 0 53 11 66 14 0 127 81.57
3 0 26 12 39 9 32 40 0 140 58.21
4 0 44 50 18 56 64 33 0 133 133.90
5 0 45 5 48 21 28 62 0 137 79.59
Day 4
No. Route Load Distance
1 0 2 28 64 43 1 6 0 138 93.68
2 0 4 27 20 47 21 30 0 138 89.66
3 0 9 31 10 38 58 0 125 90.99
4 0 11 66 59 14 0 129 90.13
5 0 16 49 24 32 40 17 0 132 77.05
6 0 34 46 67 0 76 23.62
Day 5
No. Route Load Distance
1 0 4 52 19 14 35 67 0 135 66.46
2 0 7 53 11 66 65 72 12 0 137 84.42
3 0 32 50 55 25 9 40 0 133 88.19
4 0 45 29 5 70 60 71 69 21 74 0 128 99.11
5 0 68 28 61 64 62 73 33 0 133 104.73
Total Distance 2161.07
1013
Table C.119: IPH-RCH solution to P8 with W = 25.
Day 1
No. Route Load Distance
1 0 18 83 45 8 46 48 47 49 64 10 31 0 194 137.62
2 0 55 25 39 23 41 15 43 38 86 17 84 5 60 89 0 192 160.63
3 0 68 80 24 29 78 81 9 30 70 69 0 131 103.60
4 0 87 92 37 85 59 96 94 0 143 57.49
Day 2
No. Route Load Distance
1 0 5 16 86 44 14 100 85 93 0 198 87.93
2 0 12 68 77 3 79 81 33 50 76 28 0 184 71.75
3 0 13 87 97 59 95 94 0 136 46.91
4 0 26 54 39 23 75 72 73 21 40 58 53 0 199 90.05
5 0 31 32 63 11 49 47 48 82 0 181 112.59
Day 3
No. Route Load Distance
1 0 27 30 20 66 65 71 9 81 34 68 0 198 129.56
2 0 31 10 62 19 49 47 48 18 89 0 199 102.38
3 0 4 39 67 23 22 2 87 94 0 182 108.05
4 0 83 45 5 61 86 38 85 59 96 6 0 200 115.16
Day 4
No. Route Load Distance
1 0 5 16 86 44 14 100 85 93 0 198 87.93
2 0 12 68 77 3 79 81 33 50 76 28 0 184 71.75
3 0 13 87 97 59 95 94 0 136 46.91
4 0 26 54 39 23 75 72 21 58 53 0 181 87.82
5 0 31 32 90 11 49 47 48 82 0 174 112.18
Day 5
No. Route Load Distance
1 0 1 51 66 65 71 35 34 81 68 0 164 129.54
2 0 5 61 86 91 85 98 59 99 94 0 190 78.66
3 0 27 31 88 62 19 49 36 47 48 7 52 0 200 101.29
4 0 4 39 67 23 56 74 22 57 42 87 0 174 120.60
Total Distance 2160.38
1014
Table C.120: IPH-RCH solution to P11 with W = 70.
Day 1
No. Route Load Distance
1 0 87 24 125 23 62 11 20 117 10 81 13 12 2 72 100 0 235 72.72
2 0 25 15 96 121 29 3 4 6 26 95 0 232 28.87
3 0 36 7 5 1 28 8 30 9 77 57 31 93 39 68 0 233 65.69
Day 2
No. Route Load Distance
1 0 15 128 18 9 78 53 52 5 127 130 74 0 234 73.98
2 0 16 38 49 27 69 50 35 37 105 0 162 23.34
3 0 34 84 17 99 2 82 22 13 10 64 32 63 80 14 103 0 205 82.38
Day 3
No. Route Load Distance
1 0 33 19 131 6 124 73 0 231 25.68
2 0 39 94 29 128 55 76 28 1 5 7 36 26 90 0 235 47.99
3 0 86 14 97 66 118 21 65 40 108 109 12 2 120 102 0 186 54.99
Day 4
No. Route Load Distance
1 0 6 130 75 54 1 126 7 111 92 47 48 27 38 16 0 235 58.71
2 0 34 17 85 2 83 12 22 13 106 10 11 61 119 24 41 71 42 101 0 222 76.84
3 0 104 88 67 89 51 116 59 31 58 56 115 9 30 114 8 60 113 128 235 54.51122 15 91 0
Day 5
No. Route Load Distance
1 0 16 112 4 19 33 123 37 0 235 26.82
2 0 25 129 18 110 8 79 1 5 35 0 233 52.98
3 0 70 98 17 2 44 43 45 46 21 32 107 20 11 23 14 0 226 54.66
Total Distance 800.17
1015
Table C.121: IPH-RCH solution to P12 with W = 110.
Day 1
No. Route Load Distance
1 0 86 83 46 80 45 44 43 31 32 16 14 10 8 9 114 121 0 139 150.34
2 0 106 39 34 33 30 28 22 26 25 5 146 153 159 132 0 140 139.79
Day 2
No. Route Load Distance
1 0 105 40 107 108 37 10 35 58 56 54 48 73 72 103 0 140 123.39
2 0 134 127 119 137 114 124 126 0 139 76.09
Day 3
No. Route Load Distance
1 0 94 91 90 41 42 43 47 52 71 70 68 69 67 66 61 60 57 59 123 92.2588 89 97 96 110 95 0
2 0 29 17 18 27 23 24 25 5 3 2 138 147 150 0 140 139.18
3 0 136 132 153 152 160 161 162 163 135 0 53 49.07
Day 4
No. Route Load Distance
1 0 103 81 72 74 75 48 49 50 62 87 63 104 0 90 88.11
2 0 133 128 111 36 112 10 15 114 115 122 120 123 125 154 155 129 130 131 0 138 79.31
3 0 118 117 113 116 137 139 143 144 149 151 156 0 140 76.77
Day 5
No. Route Load Distance
1 0 100 99 98 97 92 93 85 84 82 64 65 55 53 51 48 76 79 78 136 77.1377 72 102 101 0
2 0 109 38 11 12 13 19 21 20 6 5 7 4 3 1 140 141 145 157 139 123.57132 0
3 0 137 138 142 148 150 158 0 140 76.60
Total Distance 1291.61
1016
Table C.122: IPH-RCH solution to P18 with W = 26.
Day 1
No. Route Load Distance
1 0 1 5 29 37 9 44 36 28 59 20 0 28 217.54
2 0 2 48 6 30 38 10 39 31 23 50 15 0 29 218.29
3 0 3 53 7 32 40 11 41 70 33 54 0 26 224.43
4 0 4 8 35 43 12 42 71 34 26 55 18 0 29 224.64
Day 2
No. Route Load Distance
1 0 1 60 5 9 21 46 13 0 21 184.64
2 0 2 6 10 64 22 47 14 0 21 184.80
3 0 3 16 51 24 7 11 69 25 17 0 25 190.83
4 0 4 56 8 12 27 58 19 0 21 184.64
Day 3
No. Route Load Distance
1 0 1 45 5 29 62 37 9 44 75 36 28 20 0 30 231.02
2 0 2 6 30 63 38 10 39 66 31 23 15 0 29 230.26
3 0 3 7 33 41 11 40 67 32 52 0 25 223.67
4 0 4 57 8 35 74 43 12 42 34 26 18 0 29 223.92
Day 4
No. Route Load Distance
1 0 1 5 76 9 61 21 13 0 21 187.30
2 0 2 49 6 65 10 22 14 0 21 187.14
3 0 3 16 24 68 11 7 25 17 0 24 189.35
4 0 4 8 72 12 73 27 19 0 21 187.30
Total Distance 3289.77
1017
Table C.123: IPH-RCH solution to P23 with W = 5.
Day 1
No. Route Load Distance
1 0 1 98 50 62 74 86 20 87 75 14 8 38 2 0 40 310.01
2 0 3 104 9 15 76 88 21 89 154 77 65 130 53 41 29 0 39 308.72
3 0 4 109 10 55 67 16 22 90 155 78 66 54 42 30 0 38 293.69
4 0 5 113 11 56 68 80 92 23 93 81 17 69 138 57 33 0 40 312.69
5 0 6 117 12 58 139 70 18 82 94 24 95 83 71 59 47 0 40 312.69
6 0 25 97 37 7 49 122 61 73 146 85 19 168 84 13 72 60 48 119 0 40 316.02
Day 2
No. Route Load Distance
1 0 1 36 120 7 144 13 145 19 96 167 143 118 35 34 6 0 39 299.08
2 0 2 26 8 125 14 148 20 149 63 51 39 27 0 33 270.63
3 0 3 28 40 52 64 152 21 153 15 9 105 4 0 36 274.20
4 0 5 32 112 44 134 79 158 91 22 157 16 133 10 43 31 0 37 306.11
5 0 45 11 17 160 23 162 163 164 24 165 18 140 12 46 0 40 411.64
Day 3
No. Route Load Distance
1 0 1 48 7 60 72 13 84 19 85 73 61 49 37 25 0 40 303.83
2 0 2 101 8 14 75 150 87 20 86 147 74 62 123 50 38 99 0 39 316.88
3 0 3 9 129 15 76 151 88 21 89 77 65 53 41 106 29 0 39 307.45
4 0 4 108 10 55 67 16 22 90 78 66 54 42 30 0 37 285.98
5 0 5 11 56 135 68 80 159 92 23 93 81 17 69 57 33 0 40 320.06
6 0 6 116 12 58 70 18 82 94 24 95 83 71 142 59 47 0 40 312.69
Day 4
No. Route Load Distance
1 0 1 26 100 8 124 14 20 63 126 51 39 102 27 2 0 39 275.38
2 0 3 9 128 15 21 64 127 52 40 103 28 0 31 268.97
3 0 4 31 110 43 10 132 16 79 91 22 156 131 107 0 33 294.14
4 0 5 32 111 44 136 17 23 161 137 11 45 114 34 35 6 0 40 283.88
5 0 36 7 121 13 19 96 166 24 18 141 12 46 115 0 40 398.12
Total Distance 6782.89
1018
Table C.124: IPH-RCH solution to P25 with W = 31.
Day 1
No. Route Load Distance
1 0 2 41 13 42 3 0 16 177.78
2 0 4 28 10 31 5 46 0 18 235.92
3 0 6 36 12 38 1 50 0 18 235.92
Day 2
No. Route Load Distance
1 0 1 51 15 49 6 0 16 177.94
2 0 2 21 8 22 3 0 16 233.23
3 0 4 45 47 5 33 11 34 0 20 276.80
Day 3
No. Route Load Distance
1 0 6 1 7 19 2 0 19 289.82
2 0 3 9 4 14 5 0 19 292.04
Day 4
No. Route Load Distance
1 0 1 39 12 37 6 0 16 233.23
2 0 2 40 13 43 3 0 16 177.78
3 0 4 29 10 30 5 0 16 233.23
Day 5
No. Route Load Distance
1 0 1 2 20 8 23 0 16 276.52
2 0 4 26 25 3 0 14 193.22
3 0 5 32 11 35 6 48 15 0 20 246.42
Day 6
No. Route Load Distance
1 0 1 17 16 7 18 2 0 18 244.77
2 0 3 24 9 27 4 44 14 0 20 246.65
3 0 6 5 0 10 173.20
Total Distance 3944.48
1019
Table C.125: IPH-RCH solution to P29 with W = 61.
Day 1
No. Route Load Distance
1 0 2 8 28 93 9 0 20 885.88
2 0 3 4 60 62 5 0 19 231.23
3 0 6 52 51 54 1 66 65 0 20 213.57
4 0 7 90 27 88 12 99 0 19 1179.60
5 0 10 79 25 82 11 17 0 20 1185.63
Day 2
No. Route Load Distance
1 0 56 2 55 58 3 0 16 178.76
2 0 4 42 10 95 29 16 0 20 655.61
3 0 21 6 49 47 5 20 0 20 218.66
4 0 9 74 23 71 8 14 0 20 1185.63
5 0 11 84 26 86 12 50 0 19 1170.39
6 0 13 7 102 30 53 1 0 20 674.77
Day 3
No. Route Load Distance
1 0 1 2 19 57 3 0 20 234.91
2 0 4 43 44 45 46 5 0 18 216.31
3 0 6 18 100 12 11 0 20 925.48
4 0 101 7 67 22 69 8 0 19 1179.61
5 0 9 76 24 78 10 15 0 20 1185.63
Day 4
No. Route Load Distance
1 0 1 6 5 4 0 20 288.67
2 0 2 35 36 38 37 3 0 18 216.31
3 0 9 94 28 91 8 92 0 19 902.38
4 0 48 11 81 25 80 10 0 19 1170.39
5 0 17 12 87 27 89 7 0 20 1185.63
Day 5
No. Route Load Distance
1 0 1 7 13 33 2 0 20 613.45
2 0 3 40 10 96 29 16 0 20 678.09
3 0 4 59 20 61 5 0 17 177.78
4 0 9 73 23 72 8 14 0 20 1185.63
(cont.)
1020
Table C.125 continued.
Day 5
No. Route Load Distance
5 0 11 83 26 85 12 30 0 20 1230.21
6 0 21 64 6 63 0 12 131.43
Day 6
No. Route Load Distance
1 0 19 2 34 31 32 1 0 19 217.58
2 0 5 4 41 39 3 0 19 261.52
3 0 18 7 68 22 70 8 0 20 1185.63
4 0 9 75 24 77 10 15 0 20 1185.63
5 0 6 12 11 98 97 0 19 910.05
Total Distance 23062.03
1021
Table C.126: IPH-RCH solution to P31 with W = 81.
Day 1
No. Route Load Distance
1 0 1 68 69 66 6 0 16 204.76
2 0 2 50 51 3 4 0 19 258.42
3 0 5 61 22 110 10 21 54 0 20 647.22
4 0 7 13 14 8 0 20 2598.08
5 0 9 15 127 39 16 0 19 3481.25
6 0 11 17 149 44 31 96 35 0 20 1947.90
7 0 12 18 150 103 115 114 67 0 20 1785.20
Day 2
No. Route Load Distance
1 0 2 1 27 78 6 0 19 234.98
2 0 3 9 106 8 19 0 19 886.50
3 0 4 74 26 5 0 14 177.18
4 0 7 13 118 119 37 121 28 0 20 3462.66
5 0 10 146 16 130 40 132 95 0 20 3347.68
6 0 14 122 38 125 15 30 91 0 20 3643.21
7 0 17 41 137 18 138 42 141 0 20 5030.91
8 0 23 12 100 32 99 11 112 0 20 1199.10
Day 3
No. Route Load Distance
1 0 1 47 46 49 48 2 0 18 216.31
2 0 3 55 56 57 4 0 16 204.76
3 0 5 63 62 64 6 0 16 204.76
4 0 7 13 153 45 33 36 24 0 20 1933.36
5 0 8 14 43 15 29 0 19 2782.54
6 0 10 16 147 17 97 0 19 2629.12
7 0 11 98 101 18 12 0 19 1941.84
8 0 25 53 20 34 108 9 109 52 0 19 661.55
Day 4
No. Route Load Distance
1 0 1 2 70 72 3 0 19 231.23
2 0 4 59 60 5 6 0 19 250.95
(cont.)
1022
Table C.126 continued.
Day 4
No. Route Load Distance
3 0 7 13 152 102 12 0 19 1924.37
4 0 8 14 143 86 9 0 19 1944.25
5 0 15 126 39 129 128 16 94 0 20 3699.70
6 0 18 136 134 17 148 44 31 0 20 3099.54
7 0 22 11 113 35 111 10 21 0 20 927.89
Day 5
No. Route Load Distance
1 0 2 1 80 27 0 14 186.58
2 0 3 4 26 76 5 0 19 234.91
3 0 6 12 11 23 65 0 19 895.23
4 0 9 90 30 92 93 10 58 0 20 1228.13
5 0 15 124 38 123 14 120 37 0 20 5015.55
6 0 16 131 40 133 17 135 41 0 20 5015.55
7 0 19 7 82 85 84 8 107 0 20 1056.78
8 0 28 13 140 42 139 18 32 0 20 3766.35
Day 6
No. Route Load Distance
1 0 1 81 79 6 0 14 173.49
2 0 2 71 25 73 3 0 16 177.78
3 0 4 75 77 5 0 14 173.49
4 0 7 83 13 104 117 116 24 0 20 1839.72
5 0 8 14 142 43 29 87 20 0 20 1945.35
6 0 9 15 144 145 88 89 34 0 20 1893.45
7 0 10 16 17 11 0 20 2598.08
8 0 12 18 151 45 33 105 36 0 20 1947.92
Total Distance 79705.58
1023
Appendix D
VRP: Problems and Solutions
Table D.1: Symbol key.
N Number of customers in a problem
K Number of vehicles
c Customer service cost
C Maximum route cost
Q Vehicle capacity
No. Customer or route number
x x-coordinate of a node?s location
y y-coordinate of a node?s location
q Customer demand
Table D.2: Dimensions for 15 VRPs.
Problem N K c C Q
VRP1 50 5 0 ? 160
VRP2 75 10 0 ? 140
VRP3 100 8 0 ? 200
VRP4 150 12 0 ? 200
VRP5 199 17 0 ? 200
VRP6 50 6 10 200 160
VRP7 75 11 10 160 140
VRP8 100 9 10 230 200
VRP9 150 14 10 200 200
VRP10 199 18 10 200 200
VRP11 120 7 0 ? 200
VRP12 100 10 0 ? 200
VRP13 120 11 50 720 200
VRP14 100 11 90 1040 200
VRP15 240 10 0 650 550
1024
Table D.3: Dimensions for 15 VRPs with small capacities.
Problem N K c C Q
VRP1-SC 50 10 0 ? 80
VRP2-SC 75 21 0 ? 70
VRP3-SC 100 16 0 ? 100
VRP4-SC 150 24 0 ? 100
VRP5-SC 199 34 0 ? 100
VRP6-SC 50 12 3 100 80
VRP7-SC 75 22 1 100 70
VRP8-SC 100 18 2 115 100
VRP9-SC 150 28 2 105 100
VRP10-SC 199 36 2 105 100
VRP11-SC 120 14 0 ? 100
VRP12-SC 100 20 0 ? 100
VRP13-SC 120 22 12 360 100
VRP14-SC 100 22 22 520 100
VRP15-SC 240 20 0 400 275
Table D.4: Node locations and demands for VRP1 and VRP6.
No. x y q No. x y q No. x y q No. x y q
0 30 40 0 13 5 25 23 26 27 68 7 39 59 15 14
1 37 52 7 14 12 42 21 27 30 48 15 40 5 6 7
2 49 49 30 15 36 16 10 28 43 67 14 41 10 17 27
3 52 64 16 16 52 41 15 29 58 48 6 42 21 10 13
4 20 26 9 17 27 23 3 30 58 27 19 43 5 64 11
5 40 30 21 18 17 33 41 31 37 69 11 44 30 15 16
6 21 47 15 19 13 13 9 32 38 46 12 45 39 10 10
7 17 63 19 20 57 58 28 33 46 10 23 46 32 39 5
8 31 62 23 21 62 42 8 34 61 33 26 47 25 32 25
9 52 33 11 22 42 57 8 35 62 63 17 48 25 55 17
10 51 21 5 23 16 57 16 36 63 69 6 49 48 28 18
11 42 41 19 24 8 52 10 37 32 22 9 50 56 37 10
12 31 32 29 25 7 38 28 38 45 35 15
1025
Table D.5: Node locations and demands for VRP2 and VRP7.
No. x y q No. x y q No. x y q No. x y q
0 40 40 0 19 62 48 15 38 47 66 24 57 65 27 14
1 22 22 18 20 66 14 22 39 30 60 16 58 40 60 21
2 36 26 26 21 44 13 28 40 30 50 33 59 70 64 24
3 21 45 11 22 26 13 12 41 12 17 15 60 64 4 13
4 45 35 30 23 11 28 6 42 15 14 11 61 36 6 15
5 55 20 21 24 7 43 27 43 16 19 18 62 30 20 18
6 33 34 19 25 17 64 14 44 21 48 17 63 20 30 11
7 50 50 15 26 41 46 18 45 50 30 21 64 15 5 28
8 55 45 16 27 55 34 17 46 51 42 27 65 50 70 9
9 26 59 29 28 35 16 29 47 50 15 19 66 57 72 37
10 40 66 26 29 52 26 13 48 48 21 20 67 45 42 30
11 55 65 37 30 43 26 22 49 12 38 5 68 38 33 10
12 35 51 16 31 31 76 25 50 15 56 22 69 50 4 8
13 62 35 12 32 22 53 28 51 29 39 12 70 66 8 11
14 62 57 31 33 26 29 27 52 54 38 19 71 59 5 3
15 62 24 8 34 50 40 19 53 55 57 22 72 35 60 1
16 21 36 19 35 55 50 10 54 67 41 16 73 27 24 6
17 33 44 20 36 54 10 12 55 10 70 7 74 40 20 10
18 9 56 13 37 60 15 14 56 6 25 26 75 40 37 20
1026
Table D.6: Node locations and demands for VRP3 and VRP8.
No. x y q No. x y q No. x y q No. x y q
0 35 35 0 26 45 30 17 52 27 43 9 78 61 52 3
1 41 49 10 27 35 40 16 53 37 31 14 79 57 48 23
2 35 17 7 28 41 37 16 54 57 29 18 80 56 37 6
3 55 45 13 29 64 42 9 55 63 23 2 81 55 54 26
4 55 20 19 30 40 60 21 56 53 12 6 82 15 47 16
5 15 30 26 31 31 52 27 57 32 12 7 83 14 37 11
6 25 30 3 32 35 69 23 58 36 26 18 84 11 31 7
7 20 50 5 33 53 52 11 59 21 24 28 85 16 22 41
8 10 43 9 34 65 55 14 60 17 34 3 86 4 18 35
9 55 60 16 35 63 65 8 61 12 24 13 87 28 18 26
10 30 60 16 36 2 60 5 62 24 58 19 88 26 52 9
11 20 65 12 37 20 20 8 63 27 69 10 89 26 35 15
12 50 35 19 38 5 5 16 64 15 77 9 90 31 67 3
13 30 25 23 39 60 12 31 65 62 77 20 91 15 19 1
14 15 10 20 40 40 25 9 66 49 73 25 92 22 22 2
15 30 5 8 41 42 7 5 67 67 5 25 93 18 24 22
16 10 20 19 42 24 12 5 68 56 39 36 94 26 27 27
17 5 30 2 43 23 3 7 69 37 47 6 95 25 24 20
18 20 40 12 44 11 14 18 70 37 56 5 96 22 27 11
19 15 60 17 45 6 38 16 71 57 68 15 97 25 21 12
20 45 65 9 46 2 48 1 72 47 16 25 98 19 21 10
21 45 20 11 47 8 56 27 73 44 17 9 99 20 26 9
22 45 10 18 48 13 52 36 74 46 13 8 100 18 18 17
23 55 5 29 49 6 68 30 75 49 11 18
24 65 35 3 50 47 47 13 76 49 42 13
25 65 20 6 51 49 58 10 77 53 43 14
1027
Table D.7: Node locations and demands for VRP4 and VRP9.
No. x y q No. x y q No. x y q No. x y q
0 35 35 0 38 45 35 15 76 45 30 17 114 15 77 9
1 37 52 7 39 59 15 14 77 35 40 16 115 62 77 20
2 49 49 30 40 5 6 7 78 41 37 16 116 49 73 25
3 52 64 16 41 10 17 27 79 64 42 9 117 67 5 25
4 20 26 9 42 21 10 13 80 40 60 21 118 56 39 36
5 40 30 21 43 5 64 11 81 31 52 27 119 37 47 6
6 21 47 15 44 30 15 16 82 35 69 23 120 37 56 5
7 17 63 19 45 39 10 10 83 53 52 11 121 57 68 15
8 31 62 23 46 32 39 5 84 65 55 14 122 47 16 25
9 52 33 11 47 25 32 25 85 63 65 8 123 44 17 9
10 51 21 5 48 25 55 17 86 2 60 5 124 46 13 8
11 42 41 19 49 48 28 18 87 20 20 8 125 49 11 18
12 31 32 29 50 56 37 10 88 5 5 16 126 49 42 13
13 5 25 23 51 41 49 10 89 60 12 31 127 53 43 14
14 12 42 21 52 35 17 7 90 40 25 9 128 61 52 3
15 36 16 10 53 55 45 13 91 42 7 5 129 57 48 23
16 52 41 15 54 55 20 19 92 24 12 5 130 56 37 6
17 27 23 3 55 15 30 26 93 23 3 7 131 55 54 26
18 17 33 41 56 25 30 3 94 11 14 18 132 15 47 16
19 13 13 9 57 20 50 5 95 6 38 16 133 14 37 11
20 57 58 28 58 10 43 9 96 2 48 1 134 11 31 7
21 62 42 8 59 55 60 16 97 8 56 27 135 16 22 41
22 42 57 8 60 30 60 16 98 13 52 36 136 4 18 35
23 16 57 16 61 20 65 12 99 6 68 30 137 28 18 26
24 8 52 10 62 50 35 19 100 47 47 13 138 26 52 9
25 7 38 28 63 30 25 23 101 49 58 10 139 26 35 15
26 27 68 7 64 15 10 20 102 27 43 9 140 31 67 3
27 30 48 15 65 30 5 8 103 37 31 14 141 15 19 1
28 43 67 14 66 10 20 19 104 57 29 18 142 22 22 2
29 58 48 6 67 5 30 2 105 63 23 2 143 18 24 22
30 58 27 19 68 20 40 12 106 53 12 6 144 26 27 27
31 37 69 11 69 15 60 17 107 32 12 7 145 25 24 20
32 38 46 12 70 45 65 9 108 36 26 18 146 22 27 11
33 46 10 23 71 45 20 11 109 21 24 28 147 25 21 12
34 61 33 26 72 45 10 18 110 17 34 3 148 19 21 10
35 62 63 17 73 55 5 29 111 12 24 13 149 20 26 9
36 63 69 6 74 65 35 3 112 24 58 19 150 18 18 17
37 32 22 9 75 65 20 6 113 27 69 10
1028
Table D.8: Node locations and demands for VRP5 and VRP10.
No. x y q No. x y q No. x y q No. x y q
0 35 35 0 35 55 50 10 70 62 42 8 105 25 30 3
1 22 22 18 36 54 10 12 71 42 57 8 106 20 50 5
2 36 26 26 37 60 15 14 72 16 57 16 107 10 43 9
3 21 45 11 38 47 66 24 73 8 52 10 108 55 60 16
4 45 35 30 39 30 60 16 74 7 38 28 109 30 60 16
5 55 20 21 40 30 50 33 75 27 68 7 110 20 65 12
6 33 34 19 41 12 17 15 76 30 48 15 111 50 35 19
7 50 50 15 42 15 14 11 77 43 67 14 112 30 25 23
8 55 45 16 43 16 19 18 78 58 48 6 113 15 10 20
9 26 59 29 44 21 48 17 79 58 27 19 114 30 5 8
10 40 66 26 45 50 30 21 80 37 69 11 115 10 20 19
11 55 65 37 46 51 42 27 81 38 46 12 116 5 30 2
12 35 51 16 47 50 15 19 82 46 10 23 117 20 40 12
13 62 35 12 48 48 21 20 83 61 33 26 118 15 60 17
14 62 57 31 49 12 38 5 84 62 63 17 119 45 65 9
15 62 24 8 50 37 52 7 85 63 69 6 120 45 20 11
16 21 36 19 51 49 49 30 86 32 22 9 121 45 10 18
17 33 44 20 52 52 64 16 87 45 35 15 122 55 5 29
18 9 56 13 53 20 26 9 88 59 15 14 123 65 35 3
19 62 48 15 54 40 30 21 89 5 6 7 124 65 20 6
20 66 14 22 55 21 47 15 90 10 17 27 125 45 30 17
21 44 13 28 56 17 63 19 91 21 10 13 126 35 40 16
22 26 13 12 57 31 62 23 92 5 64 11 127 41 37 16
23 11 28 6 58 52 33 11 93 30 15 16 128 64 42 9
24 7 43 27 59 51 21 5 94 39 10 10 129 40 60 21
25 17 64 14 60 42 41 19 95 32 39 5 130 31 52 27
26 41 46 18 61 31 32 29 96 25 32 25 131 35 69 23
27 55 34 17 62 5 25 23 97 25 55 17 132 53 52 11
28 35 16 29 63 12 42 21 98 48 28 18 133 65 55 14
29 52 26 13 64 36 16 10 99 56 37 10 134 63 65 8
30 43 26 22 65 52 41 15 100 41 49 10 135 2 60 5
31 31 76 25 66 27 23 3 101 35 17 7 136 20 20 8
32 22 53 28 67 17 33 41 102 55 45 13 137 5 5 16
33 26 29 27 68 13 13 9 103 55 20 19 138 60 12 31
34 50 40 19 69 57 58 28 104 15 30 26 139 40 25 9
(cont.)
1029
Table D.8 continued.
No. x y q No. x y q No. x y q No. x y q
140 42 7 5 155 53 12 6 170 57 68 15 185 4 18 35
141 24 12 5 156 32 12 7 171 47 16 25 186 28 18 26
142 23 3 7 157 36 26 18 172 44 17 9 187 26 52 9
143 11 14 18 158 21 24 28 173 46 13 8 188 26 35 15
144 6 38 16 159 17 34 3 174 49 11 18 189 31 67 3
145 2 48 1 160 12 24 13 175 49 42 13 190 15 19 1
146 8 56 27 161 24 58 19 176 53 43 14 191 22 22 2
147 13 52 36 162 27 69 10 177 61 52 3 192 18 24 22
148 6 68 30 163 15 77 9 178 57 48 23 193 26 27 27
149 47 47 13 164 62 77 20 179 56 37 6 194 25 24 20
150 49 58 10 165 49 73 25 180 55 54 26 195 22 27 11
151 27 43 9 166 67 5 25 181 15 47 16 196 25 21 12
152 37 31 14 167 56 39 36 182 14 37 11 197 19 21 10
153 57 29 18 168 37 47 6 183 11 31 7 198 20 26 9
154 63 23 2 169 37 56 5 184 16 22 41 199 18 18 17
1030
Table D.9: Node locations and demands for VRP11 and VRP13.
No. x y q No. x y q No. x y q No. x y q
0 10 45 0 31 84 5 10 62 93 84 7 93 20 44 7
1 25 1 25 32 84 9 3 63 93 89 16 94 22 44 10
2 25 3 7 33 85 1 7 64 94 86 14 95 16 45 9
3 31 5 13 34 87 5 2 65 95 80 17 96 20 45 11
4 32 5 6 35 85 8 4 66 99 89 13 97 25 45 17
5 31 7 14 36 87 7 4 67 37 83 17 98 30 55 12
6 32 9 5 37 86 41 18 68 50 80 13 99 20 50 11
7 34 9 11 38 86 44 14 69 35 85 14 100 22 51 7
8 46 9 19 39 86 46 12 70 35 87 16 101 18 49 9
9 35 7 5 40 85 55 17 71 44 86 7 102 16 48 11
10 34 6 15 41 89 43 20 72 46 89 13 103 20 55 12
11 35 5 15 42 89 46 14 73 46 83 9 104 18 53 7
12 47 6 17 43 89 52 16 74 46 87 11 105 14 50 8
13 40 5 13 44 92 42 10 75 46 89 35 106 15 51 6
14 39 3 12 45 92 52 9 76 48 83 5 107 16 54 5
15 36 3 18 46 94 42 11 77 50 85 28 108 28 33 12
16 73 6 13 47 94 44 7 78 50 88 7 109 33 38 13
17 73 8 18 48 94 48 13 79 54 86 3 110 30 50 7
18 24 36 12 49 96 42 5 80 54 90 10 111 13 40 7
19 76 6 17 50 99 46 4 81 10 35 7 112 15 36 8
20 76 10 4 51 99 50 21 82 10 40 12 113 18 31 11
21 76 13 7 52 83 80 13 83 18 30 11 114 25 37 13
22 78 3 12 53 83 83 11 84 17 35 10 115 30 46 11
23 78 9 13 54 85 81 12 85 16 38 8 116 25 52 10
24 79 3 8 55 85 85 14 86 14 40 11 117 16 33 7
25 79 5 16 56 85 89 10 87 15 42 21 118 25 35 4
26 79 11 15 57 87 80 8 88 11 42 4 119 5 40 20
27 82 3 6 58 87 86 16 89 18 40 15 120 5 50 13
28 82 7 5 59 90 77 19 90 21 39 16
29 90 15 9 60 90 88 5 91 20 40 4
30 84 3 11 61 93 82 17 92 18 41 16
1031
Table D.10: Node locations and demands for VRP12 and VRP14.
No. x y q No. x y q No. x y q No. x y q
0 40 50 0 26 25 55 10 52 25 35 10 78 88 35 20
1 45 68 10 27 23 52 10 53 44 5 20 79 87 30 10
2 45 70 30 28 23 55 20 54 42 10 40 80 85 25 10
3 42 66 10 29 20 50 10 55 42 15 10 81 85 35 30
4 42 68 10 30 20 55 10 56 40 5 30 82 75 55 20
5 42 65 10 31 10 35 20 57 40 15 40 83 72 55 10
6 40 69 20 32 10 40 30 58 38 5 30 84 70 58 20
7 40 66 20 33 8 40 40 59 38 15 10 85 68 60 30
8 38 68 20 34 8 45 20 60 35 5 20 86 66 55 10
9 38 70 10 35 5 35 10 61 50 30 10 87 65 55 20
10 35 66 10 36 5 45 10 62 50 35 20 88 65 60 30
11 35 69 10 37 2 40 20 63 50 40 50 89 63 58 10
12 25 85 20 38 0 40 30 64 48 30 10 90 60 55 10
13 22 75 30 39 0 45 20 65 48 40 10 91 60 60 10
14 22 85 10 40 35 30 10 66 47 35 10 92 67 85 20
15 20 80 40 41 35 32 10 67 47 40 10 93 65 85 40
16 20 85 40 42 33 32 20 68 45 30 10 94 65 82 10
17 18 75 20 43 33 35 10 69 45 35 10 95 62 80 30
18 15 75 20 44 32 30 10 70 95 30 30 96 60 80 10
19 15 80 10 45 30 30 10 71 95 35 20 97 60 85 30
20 30 50 10 46 30 32 30 72 53 30 10 98 58 75 20
21 30 52 20 47 30 35 10 73 92 30 10 99 55 80 10
22 28 52 20 48 28 30 10 74 53 35 50 100 55 85 20
23 28 55 10 49 28 35 10 75 45 65 20
24 25 50 10 50 26 32 10 76 90 35 10
25 25 52 40 51 25 30 10 77 88 30 10
1032
Table D.11: Node locations and demands for VRP15.
No. x y q No. x y q No. x y q No. x y q
0 0 0 0 35 18 -24 30 70 -9 -59 30 105 -73 -53 10
1 30 0 10 36 21 -21 10 71 0 -60 30 106 -64 -64 30
2 30 5 30 37 24 -18 10 72 9 -59 10 107 -53 -73 30
3 29 9 30 38 27 -14 30 73 19 -57 10 108 -41 -80 10
4 27 14 10 39 29 -9 30 74 27 -53 30 109 -28 -86 10
5 24 18 10 40 30 -5 10 75 35 -49 30 110 -14 -89 30
6 21 21 30 41 60 0 10 76 42 -42 10 111 0 -90 30
7 18 24 30 42 59 9 30 77 49 -35 10 112 14 -89 10
8 14 27 10 43 57 19 30 78 53 -27 30 113 28 -86 10
9 9 29 10 44 53 27 10 79 57 -19 30 114 41 -80 30
10 5 30 30 45 49 35 10 80 59 -9 10 115 53 -73 30
11 0 30 30 46 42 42 30 81 90 0 10 116 64 -64 10
12 -5 30 10 47 35 49 30 82 89 14 30 117 73 -53 10
13 -9 29 10 48 27 53 10 83 86 28 30 118 80 -41 30
14 -14 27 30 49 19 57 10 84 80 41 10 119 86 -28 30
15 -18 24 30 50 9 59 30 85 73 53 10 120 89 -14 10
16 -21 21 10 51 0 60 30 86 64 64 30 121 120 0 10
17 -24 18 10 52 -9 59 10 87 53 73 30 122 119 19 30
18 -27 14 30 53 -19 57 10 88 41 80 10 123 114 37 30
19 -29 9 30 54 -27 53 30 89 28 86 10 124 107 54 10
20 -30 5 10 55 -35 49 30 90 14 89 30 125 97 71 10
21 -30 0 10 56 -42 42 10 91 0 90 30 126 85 85 30
22 -30 -5 30 57 -49 35 10 92 -14 89 10 127 71 97 30
23 -29 -9 30 58 -53 27 30 93 -28 86 10 128 54 107 10
24 -27 -14 10 59 -57 19 30 94 -41 80 30 129 37 114 10
25 -24 -18 10 60 -59 9 10 95 -53 73 30 130 19 119 30
26 -21 -21 30 61 -60 0 10 96 -64 64 10 131 0 120 30
27 -18 -24 30 62 -59 -9 30 97 -73 53 10 132 -19 119 10
28 -14 -27 10 63 -57 -19 30 98 -80 41 30 133 -37 114 10
29 -9 -29 10 64 -53 -27 10 99 -86 28 30 134 -54 107 30
30 -5 -30 30 65 -49 -35 10 100 -89 14 10 135 -71 97 30
31 0 -30 30 66 -42 -42 30 101 -90 0 10 136 -85 85 10
32 5 -30 10 67 -35 -49 30 102 -89 -14 30 137 -97 71 10
33 9 -29 10 68 -27 -53 10 103 -86 -28 30 138 -107 54 30
34 14 -27 30 69 -19 -57 10 104 -80 -41 10 139 -114 37 30
(cont.)
1033
Table D.11 continued.
No. x y q No. x y q No. x y q No. x y q
140 -119 19 10 166 106 106 30 192 23 -148 10 218 -160 82 30
141 -120 0 10 167 88 121 30 193 46 -143 10 219 -171 56 30
142 -119 -19 30 168 68 134 10 194 68 -134 30 220 -178 28 10
143 -114 -37 30 169 46 143 10 195 88 -121 30 221 -180 0 10
144 -107 -54 10 170 23 148 30 196 106 -106 10 222 -178 -28 30
145 -97 -71 10 171 0 150 30 197 121 -88 10 223 -171 -56 30
146 -85 -85 30 172 -23 148 10 198 134 -68 30 224 -160 -82 10
147 -71 -97 30 173 -46 143 10 199 143 -46 30 225 -146 -106 10
148 -54 -107 10 174 -68 134 30 200 148 -23 10 226 -127 -127 30
149 -37 -114 10 175 -88 121 30 201 180 0 10 227 -106 -146 30
150 -19 -119 30 176 -106 106 10 202 178 28 30 228 -82 -160 10
151 0 -120 30 177 -121 88 10 203 171 56 30 229 -56 -171 10
152 19 -119 10 178 -134 68 30 204 160 82 10 230 -28 -178 30
153 37 -114 10 179 -143 46 30 205 146 106 10 231 0 -180 30
154 54 -107 30 180 -148 23 10 206 127 127 30 232 28 -178 10
155 71 -97 30 181 -150 0 10 207 106 146 30 233 56 -171 10
156 85 -85 10 182 -148 -23 30 208 82 160 10 234 82 -160 30
157 97 -71 10 183 -143 -46 30 209 56 171 10 235 106 -146 30
158 107 -54 30 184 -134 -68 10 210 28 178 30 236 127 -127 10
159 114 -37 30 185 -121 -88 10 211 0 180 30 237 146 -106 10
160 119 -19 10 186 -106 -106 30 212 -28 178 10 238 160 -82 30
161 150 0 10 187 -88 -121 30 213 -56 171 10 239 171 -56 30
162 148 23 30 188 -68 -134 10 214 -82 160 30 240 178 -28 10
163 143 46 30 189 -46 -143 10 215 -106 146 30
164 134 68 10 190 -23 -148 30 216 -127 127 10
165 121 88 10 191 0 -150 30 217 -146 106 10
Table D.12: VIPH solution to VRP1.
No. Route Load Cost Distance
1 0 12 37 44 15 45 33 39 10 49 5 46 0 160 99.25 99.25
2 0 18 13 41 40 19 42 17 4 47 0 157 109.06 109.06
3 0 32 1 22 20 35 36 3 28 31 26 8 0 149 118.52 118.52
4 0 6 14 25 24 43 7 23 48 27 0 152 98.45 98.45
5 0 38 9 30 34 50 16 21 29 2 11 0 159 99.33 99.33
Total Distance 524.61
1034
Table D.13: VIPH solution to VRP2.
No. Route Load Cost Distance
1 0 51 63 23 56 41 64 42 43 73 0 133 107.99 107.99
2 0 17 3 44 32 9 39 12 0 137 61.92 61.92
3 0 47 36 69 71 60 70 20 37 5 29 0 136 103.47 103.47
4 0 30 48 21 61 28 74 68 0 134 77.85 77.85
5 0 53 11 38 10 31 72 0 135 96.30 96.30
6 0 46 8 35 19 54 13 57 15 45 0 139 85.22 85.22
7 0 58 65 66 59 14 7 0 137 95.35 95.35
8 0 4 27 52 34 67 26 0 133 42.84 42.84
9 0 75 2 62 22 1 33 6 0 140 66.99 66.99
10 0 16 49 24 18 55 25 50 40 0 140 110.66 110.66
Total Distance 848.57
Table D.14: VIPH solution to VRP3.
No. Route Load Cost Distance
1 0 76 77 3 79 29 24 55 25 39 67 23 41 22 73 0 200 134.20 134.20
2 0 1 51 9 20 66 65 71 35 34 78 81 33 50 28 0 196 134.48 134.48
3 0 94 96 99 93 85 91 100 37 98 92 59 6 0 179 58.29 58.29
4 0 69 70 30 32 90 63 64 49 19 11 62 10 31 0 198 131.58 131.58
5 0 89 60 5 61 16 86 38 44 14 42 43 15 57 2 0 199 126.21 126.21
6 0 27 52 88 7 82 48 47 36 46 8 45 17 84 83 18 0 181 124.96 124.96
7 0 26 12 68 80 54 4 56 75 74 72 21 40 0 192 86.61 86.61
8 0 53 58 87 97 95 13 0 113 44.41 44.41
Total Distance 840.73
1035
Table D.15: VIPH solution to VRP4.
No. Route Load Cost Distance
1 0 51 101 20 59 3 116 121 115 36 85 35 84 128 29 0 194 131.58 131.58
2 0 90 123 124 125 106 73 117 89 39 75 105 54 10 49 0 199 111.13 111.13
3 0 56 111 66 41 94 19 64 88 40 136 13 67 134 0 199 108.68 108.68
4 0 6 57 23 69 114 99 43 86 97 96 24 98 132 0 198 129.81 129.81
5 0 139 110 18 55 133 25 95 58 14 68 0 182 70.50 70.50
6 0 47 146 149 4 109 143 135 141 150 148 87 142 147 17 0 198 60.77 60.77
7 0 71 122 33 72 91 45 15 52 107 65 93 42 92 44 137 37 0 200 106.78 106.78
8 0 46 102 138 48 112 7 61 26 113 140 82 31 28 70 80 22 0 196 101.47 101.47
9 0 38 62 50 130 118 21 79 74 34 30 104 9 76 0 197 77.82 77.82
10 0 11 100 2 83 131 129 53 127 16 126 78 0 193 61.60 61.60
11 0 12 144 145 63 108 5 103 0 152 39.71 39.71
12 0 27 81 60 8 120 1 119 32 77 0 127 58.96 58.96
Total Distance 1058.81
Table D.16: VIPH solution to VRP5.
No. Route Load Cost Distance
1 0 150 52 11 170 164 85 134 84 14 133 177 19 78 0 198 114.14 114.14
2 0 194 197 42 68 143 137 89 185 90 41 115 160 0 200 99.62 99.62
3 0 180 69 108 165 38 119 77 10 129 71 0 197 97.40 97.40
4 0 117 181 147 72 118 56 25 110 161 97 187 95 0 192 80.26 80.26
5 0 145 73 18 146 135 92 148 163 31 162 75 189 131 80 169 50 0 197 146.67 146.67
6 0 120 174 155 36 122 88 37 138 166 20 124 154 15 0 198 113.32 113.32
7 0 125 29 79 153 83 13 123 128 70 167 179 99 34 0 196 78.75 78.75
8 0 149 51 7 132 35 178 102 8 176 65 46 175 0 200 58.26 58.26
9 0 130 39 109 57 9 32 106 44 55 3 151 0 196 67.30 67.30
10 0 66 196 191 1 136 199 43 190 184 192 158 53 198 195 0 199 58.05 58.05
11 0 16 182 49 63 107 24 74 144 116 62 23 183 104 0 200 86.09 86.09
12 0 112 186 93 22 141 91 113 142 114 156 28 64 101 86 0 192 90.16 90.16
13 0 139 172 21 94 140 121 82 173 171 47 5 103 59 0 199 81.30 81.30
14 0 6 61 193 33 105 96 67 159 188 0 189 44.67 44.67
15 0 54 30 48 98 45 58 27 111 87 4 0 194 55.84 55.84
16 0 127 60 26 100 81 168 12 40 76 17 126 0 181 50.25 50.25
17 0 152 2 157 0 58 18.63 18.63
Total Distance 1340.70
1036
Table D.17: VIPH solution to VRP6.
No. Route Load Cost Distance
1 0 11 16 29 21 50 34 30 9 38 46 0 134 191.00 91.00
2 0 12 37 44 15 45 33 39 10 49 5 0 155 199.12 99.12
3 0 14 25 24 43 7 23 6 0 120 161.63 91.63
4 0 48 26 31 8 27 0 73 120.27 70.27
5 0 47 4 17 42 19 40 41 13 18 0 157 199.06 109.06
6 0 32 2 20 35 36 3 28 22 1 0 138 189.18 99.18
Total Distance 560.24
Table D.18: VIPH solution to VRP7.
No. Route Load Cost Distance
1 0 4 20 70 60 71 69 0 87 158.76 98.76
2 0 6 73 1 42 64 22 62 0 112 159.92 89.92
3 0 7 35 14 59 19 8 46 0 138 151.36 81.36
4 0 9 25 55 18 50 32 0 113 152.97 92.97
5 0 12 72 39 31 10 58 26 0 123 151.69 81.69
6 0 16 49 24 3 44 40 17 0 132 146.84 76.84
7 0 27 15 57 13 54 52 34 67 0 135 157.54 77.54
8 0 30 74 21 61 28 2 68 0 140 144.38 74.38
9 0 33 43 41 56 23 63 51 0 115 155.24 85.24
10 0 38 65 66 11 53 0 129 127.16 77.16
11 0 45 29 5 37 36 47 48 75 0 140 153.82 73.82
Total Distance 909.68
1037
Table D.19: VIPH solution to VRP8.
No. Route Load Cost Distance
1 0 7 82 48 36 49 64 63 90 32 10 0 153 226.86 126.86
2 0 50 33 78 34 35 71 65 66 20 1 0 128 219.25 119.25
3 0 6 96 99 93 16 86 38 44 14 57 2 58 0 185 226.33 106.33
4 0 53 40 73 75 56 23 67 39 25 55 4 26 0 185 228.14 108.14
5 0 54 24 29 79 81 9 51 30 70 31 69 27 0 180 229.26 109.26
6 0 89 60 5 84 17 61 85 91 100 98 37 92 59 94 0 200 220.26 80.26
7 0 52 88 62 11 19 47 46 8 45 83 18 0 142 216.31 106.31
8 0 13 95 97 87 42 43 15 41 22 74 72 21 0 168 212.30 92.30
9 0 12 80 68 3 77 76 28 0 117 122.12 52.12
Total Distance 900.84
Table D.20: VIPH solution to VRP9.
No. Route Load Cost Distance
1 0 143 135 141 94 40 88 64 19 150 87 142 0 161 199.54 89.54
2 0 10 54 105 75 39 89 117 73 106 0 137 196.89 106.89
3 0 17 147 148 111 66 41 136 13 67 134 55 0 177 197.31 87.31
4 0 5 76 49 30 104 34 74 79 21 16 78 0 170 185.24 75.24
5 0 46 139 47 56 146 149 4 109 145 144 12 0 181 155.38 45.38
6 0 77 27 138 48 112 61 7 69 23 57 6 102 0 169 194.60 74.60
7 0 103 108 37 44 107 65 93 42 92 137 63 0 146 187.23 77.23
8 0 51 22 70 116 115 36 121 3 101 0 119 198.57 108.57
9 0 98 97 86 43 99 114 113 26 0 135 192.65 112.65
10 0 128 84 85 35 59 20 131 83 2 100 0 166 191.04 91.04
11 0 18 110 133 14 58 25 95 96 24 132 68 0 168 198.80 88.80
12 0 52 15 45 91 72 33 125 124 122 123 71 90 0 153 190.11 70.11
13 0 32 119 1 120 80 28 31 82 140 8 60 81 0 168 199.99 79.99
14 0 38 62 9 50 130 118 29 129 53 127 126 11 0 185 182.66 62.66
Total Distance 1170.01
1038
Table D.21: VIPH solution to VRP10.
No. Route Load Cost Distance
1 0 80 131 31 163 148 92 18 147 0 158 199.41 119.41
2 0 35 180 69 14 133 177 19 78 178 8 102 0 185 192.31 82.31
3 0 72 118 56 25 110 75 162 189 57 130 40 0 181 196.13 86.13
4 0 136 199 42 68 113 137 89 143 41 184 192 0 184 199.71 89.71
5 0 26 100 119 38 165 77 10 129 50 168 81 0 172 195.55 85.55
6 0 45 79 15 154 124 20 37 88 103 5 59 30 0 173 199.62 79.62
7 0 152 2 157 64 94 140 121 82 173 21 172 139 54 0 199 195.78 65.78
8 0 125 98 29 153 83 13 123 128 70 176 46 175 0 178 194.00 74.00
9 0 115 90 185 62 116 144 74 49 182 16 188 0 200 197.78 87.78
10 0 76 187 97 109 39 9 161 32 106 44 55 151 95 0 200 197.14 67.14
11 0 101 28 156 114 142 91 141 22 93 186 86 0 139 188.76 78.76
12 0 127 34 65 167 99 179 27 58 111 4 87 0 194 158.67 48.67
13 0 3 181 73 146 135 145 24 107 63 117 0 139 191.71 91.71
14 0 112 66 196 1 191 158 198 53 195 105 33 61 6 0 193 174.05 44.05
15 0 60 149 51 7 132 71 169 12 17 126 0 153 164.20 64.20
16 0 150 52 11 170 164 85 134 84 108 0 145 194.63 104.63
17 0 120 171 174 122 166 138 36 155 47 48 0 196 196.50 96.50
18 0 96 159 67 104 183 23 160 190 43 197 194 193 0 197 186.89 66.89
Total Distance 1432.83
1039
Table D.22: VIPH solution to VRP11.
No. Route Load Cost Distance
1 0 17 16 19 28 32 35 29 36 34 31 30 33 27 24 22 25 23 26 197 210.91 210.9120 21 109 0
2 0 107 67 69 70 71 74 75 72 78 80 79 77 68 76 73 106 0 199 144.43 144.43
3 0 95 37 38 39 42 41 44 46 47 49 50 51 48 45 43 40 0 200 199.63 199.63
4 0 52 54 57 59 65 61 62 64 66 63 60 56 58 55 53 105 0 200 214.22 214.22
5 0 87 92 91 90 114 18 118 108 83 113 117 84 112 81 119 120 0 185 71.53 71.53
6 0 6 7 10 11 15 14 13 12 8 9 5 4 3 1 2 88 0 199 138.54 138.54
7 0 102 101 99 104 103 100 116 98 110 115 97 94 96 93 89 85 86 111 195 70.71 70.7182 0
Total Distance 1049.96
Table D.23: VIPH solution to VRP12.
No. Route Load Cost Distance
1 0 57 59 60 58 56 53 54 55 0 200 101.88 101.88
2 0 34 36 39 38 37 35 31 33 32 0 200 97.23 97.23
3 0 91 89 88 85 84 82 83 86 87 90 0 170 76.07 76.07
4 0 10 12 14 16 15 19 18 17 13 0 200 96.04 96.04
5 0 69 68 64 61 72 80 79 77 73 70 71 76 78 81 0 200 137.02 137.02
6 0 47 49 52 50 51 48 45 46 44 40 41 42 43 0 160 64.81 64.81
7 0 99 100 97 93 92 94 95 96 98 0 190 95.94 95.94
8 0 75 1 2 4 6 9 11 8 7 3 5 0 170 56.17 56.17
9 0 66 62 74 63 65 67 0 150 43.59 43.59
10 0 20 24 25 27 29 30 28 26 23 22 21 0 170 50.80 50.80
Total Distance 819.56
1040
Table D.24: VIPH solution to VRP13.
No. Route Load Cost Distance
1 0 56 58 60 63 66 64 62 61 65 59 0 134 708.22 208.22
2 0 29 32 35 36 34 31 30 33 27 28 0 61 695.83 195.83
3 0 37 41 44 47 46 49 50 51 48 45 0 118 690.86 190.86
4 0 17 16 19 22 24 25 23 26 20 21 0 123 670.54 170.54
5 0 38 39 42 43 40 52 54 57 55 53 0 131 712.07 212.07
6 0 68 76 77 79 80 78 75 72 74 71 73 0 141 686.62 136.62
7 0 18 118 108 8 12 13 14 15 11 10 9 7 0 153 717.70 117.70
8 0 114 109 6 5 4 3 1 2 83 113 117 81 0 132 716.81 116.81
9 0 87 94 97 115 110 98 67 70 69 116 100 99 0 153 716.77 116.77
10 0 88 111 86 112 84 85 89 92 91 90 93 96 95 0 126 690.09 40.09
11 0 82 119 120 105 106 107 103 104 101 102 0 103 553.47 53.47
Total Distance 1558.96
Table D.25: VIPH solution to VRP14.
No. Route Load Cost Distance
1 0 57 59 60 58 56 53 54 55 0 200 821.88 101.88
2 0 34 36 39 38 37 35 31 33 32 0 200 907.23 97.23
3 0 91 89 88 85 84 82 83 86 87 90 0 170 976.07 76.07
4 0 10 12 14 16 15 19 18 17 13 0 200 906.04 96.04
5 0 41 40 44 42 43 0 60 495.47 45.47
6 0 1 99 100 97 93 92 94 95 96 98 0 200 996.70 96.70
7 0 63 80 79 77 73 70 71 76 78 81 0 200 1028.04 128.04
8 0 75 2 4 6 9 11 8 7 3 5 0 160 956.17 56.17
9 0 69 66 68 64 61 72 74 62 65 67 0 150 957.79 57.79
10 0 21 22 24 25 27 29 30 28 26 23 0 160 949.41 49.41
11 0 20 49 52 50 51 48 45 46 47 0 110 871.56 61.56
Total Distance 866.37
1041
Table D.26: VIPH solution to VRP15.
No. Route Load Cost Distance
1 0 20 60 100 140 180 181 182 183 184 185 186 187 188 148 147 146 145 144 400 620.11 620.11143 142 141 101 61 21 0
2 0 32 72 112 152 153 154 155 156 157 158 159 199 198 197 196 195 194 193 500 620.11 620.11192 191 151 111 71 31 0
3 0 2 42 82 122 162 163 164 165 166 167 207 206 205 204 203 202 201 161 460 647.16 647.16121 81 41 1 0
4 0 40 79 78 77 76 75 74 73 113 114 115 116 117 118 119 83 123 124 550 555.27 555.27125 126 127 87 86 85 84 44 4 0
5 0 38 39 80 120 160 200 240 239 238 237 236 235 234 233 232 231 230 190 480 647.89 647.89150 110 70 30 0
6 0 29 69 109 149 189 229 228 227 226 225 224 223 222 221 220 219 179 139 410 642.45 642.4599 59 19 0
7 0 18 58 98 138 178 218 217 216 215 214 213 212 211 210 209 208 168 128 440 647.16 647.1688 48 8 7 0
8 0 9 49 89 129 169 170 171 172 173 174 175 176 177 137 136 135 134 133 490 626.96 626.96132 131 130 90 51 11 10 0
9 0 17 16 15 14 13 12 52 53 54 55 56 57 97 96 95 94 93 92 530 417.20 417.2091 50 47 46 45 43 3 5 6 0
10 0 22 62 102 103 104 105 106 107 108 68 67 66 65 64 63 23 24 25 540 377.14 377.1426 27 28 33 34 35 36 37 0
Total Distance 5801.46
1042
Table D.27: VIPH solution to VRP1-SC.
No. Route Load Cost Distance
1 0 32 22 28 31 26 8 0 75 77.36 77.36
2 0 13 41 40 19 42 0 79 101.17 101.17
3 0 5 37 44 17 12 0 78 59.19 59.19
4 0 50 21 34 30 9 46 0 79 81.35 81.35
5 0 25 14 6 27 0 79 56.84 56.84
6 0 1 3 36 35 20 29 0 80 97.51 97.51
7 0 49 10 39 33 45 15 0 80 91.62 91.62
8 0 11 2 16 38 0 79 56.25 56.25
9 0 48 23 7 43 24 0 73 80.58 80.58
10 0 47 4 18 0 75 39.62 39.62
Total Distance 741.50
1043
Table D.28: VIPH solution to VRP2-SC.
No. Route Load Cost Distance
1 0 36 69 71 60 70 20 0 69 101.71 101.71
2 0 22 64 42 41 0 66 93.49 93.49
3 0 35 53 11 0 69 62.18 62.18
4 0 73 43 56 23 63 0 67 81.77 81.77
5 0 7 59 14 0 70 76.99 76.99
6 0 21 47 48 0 67 60.56 60.56
7 0 34 52 46 0 65 30.65 30.65
8 0 57 15 37 5 29 0 70 73.86 73.86
9 0 6 51 17 26 0 69 36.35 36.35
10 0 9 31 39 0 70 79.71 79.71
11 0 40 32 0 61 44.89 44.89
12 0 62 1 33 0 63 56.47 56.47
13 0 3 50 18 55 25 0 67 94.67 94.67
14 0 68 28 61 74 0 64 69.15 69.15
15 0 8 19 54 13 0 59 62.40 62.40
16 0 58 10 72 12 0 64 54.89 54.89
17 0 4 45 27 0 68 36.70 36.70
18 0 75 30 2 0 68 35.96 35.96
19 0 16 49 24 44 0 68 71.19 71.19
20 0 67 0 30 10.77 10.77
21 0 38 65 66 0 70 75.44 75.44
Total Distance 1309.83
1044
Table D.29: VIPH solution to VRP3-SC.
No. Route Load Cost Distance
1 0 20 66 65 71 35 34 78 0 94 117.43 117.43
2 0 55 25 39 67 23 56 0 99 101.89 101.89
3 0 7 47 36 49 64 11 88 0 97 110.07 110.07
4 0 91 44 86 16 61 17 84 60 0 98 90.91 90.91
5 0 92 98 37 100 85 93 0 100 53.34 53.34
6 0 48 19 62 31 0 99 71.95 71.95
7 0 4 54 24 29 79 3 77 0 99 86.64 86.64
8 0 21 72 75 41 22 74 73 0 94 67.95 67.95
9 0 10 63 90 32 30 70 69 27 0 100 80.50 80.50
10 0 76 50 33 81 9 51 1 0 99 71.27 71.27
11 0 89 6 96 99 59 97 95 0 98 45.68 45.68
12 0 28 68 80 12 26 0 94 48.03 48.03
13 0 87 42 14 38 43 15 57 2 0 96 102.50 102.50
14 0 52 18 82 8 46 45 83 5 0 100 89.89 89.89
15 0 53 40 58 13 94 0 91 37.90 37.90
Total Distance 1175.96
1045
Table D.30: VIPH solution to VRP4-SC.
No. Route Load Cost Distance
1 0 61 114 99 43 86 97 0 94 109.81 109.81
2 0 70 116 121 115 36 85 35 0 100 113.49 113.49
3 0 10 39 117 73 106 125 0 97 95.25 95.25
4 0 111 136 40 88 94 19 141 0 99 93.53 93.53
5 0 102 98 24 96 95 25 0 100 80.10 80.10
6 0 22 28 31 82 140 113 26 8 0 99 85.91 85.91
7 0 118 21 79 74 34 130 50 0 98 69.15 69.15
8 0 123 122 124 33 72 91 45 0 98 64.25 64.25
9 0 104 30 105 75 89 54 0 95 78.92 78.92
10 0 142 150 41 66 13 67 134 110 0 100 77.99 77.99
11 0 87 148 135 143 4 149 0 99 48.99 48.99
12 0 126 53 129 131 83 100 0 99 59.90 59.90
13 0 18 55 109 0 95 48.01 48.01
14 0 27 81 138 60 80 120 1 0 100 68.11 68.11
15 0 37 44 107 65 93 64 42 92 147 17 0 100 85.33 85.33
16 0 29 128 84 20 59 3 101 119 0 99 87.94 87.94
17 0 146 145 137 52 15 71 90 0 94 62.80 62.80
18 0 77 6 132 58 14 133 68 0 100 63.20 63.20
19 0 32 51 2 127 16 11 0 100 52.31 52.31
20 0 63 144 56 47 139 0 93 32.98 32.98
21 0 78 38 62 9 49 76 0 96 39.81 39.81
22 0 46 57 23 69 7 112 48 0 98 70.23 70.23
23 0 12 108 5 103 0 82 26.10 26.10
Total Distance 1614.12
1046
Table D.31: VIPH solution to VRP5-SC.
No. Route Load Cost Distance
1 0 75 162 31 163 148 92 135 145 0 98 128.37 128.37
2 0 37 138 166 20 124 154 0 100 94.12 94.12
3 0 66 42 68 143 137 89 185 0 99 93.11 93.11
4 0 69 14 133 177 19 78 0 97 80.08 80.08
5 0 72 118 56 25 110 161 0 97 73.56 73.56
6 0 21 173 82 121 140 94 101 0 99 64.32 64.32
7 0 190 41 90 115 62 116 23 183 0 100 79.94 79.94
8 0 8 102 178 35 180 132 0 99 60.43 60.43
9 0 71 165 170 164 85 134 84 0 99 113.48 113.48
10 0 153 79 83 13 123 128 70 0 95 73.95 73.95
11 0 191 136 199 43 184 160 0 99 59.25 59.25
12 0 107 24 144 74 49 182 0 96 63.68 63.68
13 0 119 38 77 10 129 169 0 99 73.24 73.24
14 0 7 108 11 52 150 0 94 74.19 74.19
15 0 59 103 5 47 171 172 0 98 58.98 58.98
16 0 32 9 97 187 76 0 98 56.29 56.29
17 0 174 155 36 122 88 15 29 0 100 88.93 88.93
18 0 167 179 99 27 58 111 0 99 47.53 47.53
19 0 105 198 53 192 197 1 158 0 99 46.80 46.80
20 0 86 93 156 114 142 113 91 141 22 0 97 85.03 85.03
21 0 50 80 131 189 57 109 39 0 99 73.33 73.33
22 0 95 3 55 44 181 63 117 0 97 56.50 56.50
23 0 16 159 67 104 195 0 100 45.99 45.99
24 0 64 28 186 196 194 0 97 49.42 49.42
25 0 54 139 120 48 98 45 0 100 47.94 47.94
26 0 40 130 12 168 81 0 94 39.46 39.46
27 0 73 146 18 147 106 151 0 100 71.06 71.06
28 0 60 149 51 100 26 0 90 43.39 43.39
29 0 193 33 96 188 0 94 29.37 29.37
30 0 127 4 87 125 30 0 100 32.41 32.41
(cont.)
1047
Table D.31 continued.
No. Route Load Cost Distance
31 0 175 46 176 65 34 0 88 40.17 40.17
32 0 152 157 2 112 0 81 26.84 26.84
33 0 126 17 0 36 18.69 18.69
34 0 6 61 0 48 10.06 10.06
Total Distance 2099.89
1048
Table D.32: VIPH solution to VRP6-SC.
No. Route Load Cost Distance
1 0 20 35 36 0 51 98.54 89.54
2 0 44 42 4 18 0 79 85.71 73.71
3 0 1 31 28 3 22 32 0 68 98.62 80.62
4 0 9 50 34 21 29 11 0 80 98.92 80.92
5 0 13 25 14 0 72 75.82 66.82
6 0 46 2 16 12 0 79 73.41 61.41
7 0 47 19 40 41 0 68 97.10 85.10
8 0 6 24 43 7 23 0 71 92.85 77.85
9 0 5 33 45 15 37 17 0 76 96.30 78.30
10 0 27 8 26 48 0 62 70.21 58.21
11 0 38 30 39 10 49 0 71 97.37 82.37
Total Distance 834.84
1049
Table D.33: VIPH solution to VRP7-SC.
No. Route Load Cost Distance
1 0 6 33 73 62 0 70 54.28 50.28
2 0 71 60 70 20 45 0 70 97.17 92.17
3 0 50 18 55 25 0 56 96.18 92.18
4 0 22 64 42 1 0 69 93.10 89.10
5 0 38 65 66 0 70 78.44 75.44
6 0 43 41 56 23 0 65 87.58 83.58
7 0 68 61 69 36 47 0 64 94.04 89.04
8 0 26 58 10 72 0 66 58.54 54.54
9 0 14 59 19 0 70 82.73 79.73
10 0 2 28 74 0 65 54.01 51.01
11 0 57 15 37 5 29 0 70 78.86 73.86
12 0 39 31 9 0 70 82.71 79.71
13 0 16 24 49 63 0 62 79.81 75.81
14 0 35 53 11 0 69 65.18 62.18
15 0 52 54 13 27 0 64 62.52 58.52
16 0 30 21 48 0 70 59.92 56.92
17 0 7 8 46 0 58 40.39 37.39
18 0 32 44 3 51 0 68 55.35 51.35
19 0 17 40 12 0 69 34.95 31.95
20 0 4 75 0 50 17.46 15.46
21 0 34 67 0 49 22.77 20.77
Total Distance 1321.00
1050
Table D.34: VIPH solution to VRP8-SC.
No. Route Load Cost Distance
1 0 28 27 0 32 22.03 18.03
2 0 55 25 39 67 23 56 0 99 113.89 101.89
3 0 9 71 65 35 81 0 85 113.79 103.79
4 0 17 86 38 44 14 0 91 113.98 103.98
5 0 19 49 64 11 62 0 87 113.34 103.34
6 0 100 91 16 61 85 99 0 100 76.40 64.40
7 0 52 7 48 47 36 46 82 0 99 104.47 90.47
8 0 24 29 34 78 79 3 77 76 0 92 102.98 86.98
9 0 21 72 74 75 22 41 73 0 94 81.96 67.96
10 0 69 70 30 20 66 51 33 50 0 100 105.17 89.17
11 0 1 32 90 63 10 88 31 0 98 99.95 85.95
12 0 6 96 59 93 98 37 92 97 0 96 65.36 49.36
13 0 95 87 42 43 15 57 2 40 0 89 94.85 78.85
14 0 18 83 8 45 84 5 60 89 0 99 87.39 71.39
15 0 12 68 80 54 4 0 98 76.49 66.49
16 0 53 26 58 13 94 0 99 54.98 44.98
Total Distance 1227.02
1051
Table D.35: VIPH solution to VRP9-SC.
No. Route Load Cost Distance
1 0 77 81 60 23 138 27 0 99 82.79 70.79
2 0 131 20 35 85 36 121 0 100 103.11 91.11
3 0 10 89 117 73 106 0 96 102.37 92.37
4 0 69 99 43 86 97 0 90 104.60 94.60
5 0 59 115 0 36 104.33 100.33
6 0 110 25 95 96 24 98 57 0 99 95.27 81.27
7 0 111 136 40 88 94 19 0 98 104.70 92.70
8 0 134 67 13 66 41 141 150 142 0 98 94.07 78.07
9 0 16 127 53 129 29 128 84 83 0 99 90.83 74.83
10 0 50 130 34 74 79 21 118 0 98 83.15 69.15
11 0 90 123 124 125 33 72 91 45 0 100 82.17 66.17
12 0 8 26 113 140 82 31 22 1 119 0 98 101.69 83.69
13 0 104 30 105 75 39 54 49 0 96 88.66 74.66
14 0 17 147 87 148 135 143 56 0 99 64.15 50.15
15 0 32 51 100 2 126 11 0 97 60.09 48.09
16 0 139 146 149 4 109 145 0 92 53.34 41.34
17 0 37 137 52 15 122 71 0 88 72.98 60.98
18 0 18 55 47 0 92 48.35 42.35
19 0 46 102 6 132 58 14 133 68 0 98 77.16 61.16
20 0 63 92 42 64 93 65 107 44 0 99 100.52 84.52
21 0 101 3 116 28 70 80 120 0 100 101.60 87.60
22 0 5 76 9 62 38 78 0 99 50.31 38.31
23 0 12 144 108 103 0 88 39.69 31.69
24 0 7 114 61 112 48 0 76 104.01 94.01
Total Distance 1709.95
1052
Table D.36: VIPH solution to VRP10-SC.
No. Route Load Cost Distance
1 0 60 127 125 54 0 73 41.48 33.48
2 0 18 146 135 92 148 0 86 104.69 94.69
3 0 59 138 20 124 154 15 79 0 93 94.77 80.77
4 0 52 11 85 134 84 108 0 100 103.59 91.59
5 0 10 77 165 38 119 0 98 94.19 84.19
6 0 199 42 137 89 185 160 0 99 103.03 91.03
7 0 168 71 150 69 14 133 177 0 100 97.19 83.19
8 0 155 36 122 166 37 88 0 100 104.99 92.99
9 0 56 25 163 110 161 0 73 104.00 94.00
10 0 189 75 162 31 131 80 129 0 100 104.48 90.48
11 0 172 174 82 121 140 94 64 101 0 100 82.70 66.70
12 0 1 191 43 190 115 62 116 23 183 159 0 99 97.35 77.35
13 0 107 24 145 73 147 181 0 99 89.24 77.24
14 0 102 8 178 35 180 132 0 99 72.43 60.43
15 0 153 83 13 123 128 70 19 78 0 97 95.19 79.19
16 0 197 184 192 198 53 105 0 94 59.69 47.69
17 0 28 156 114 142 91 141 22 93 0 97 92.77 76.77
18 0 120 171 47 173 21 139 0 100 67.96 55.96
19 0 95 106 72 118 32 97 187 0 97 82.41 68.41
20 0 167 99 179 27 58 111 0 99 59.53 47.53
21 0 50 169 57 39 109 9 0 96 73.60 61.60
22 0 33 195 158 193 0 93 44.32 36.32
23 0 182 49 74 144 63 117 0 93 72.60 60.60
24 0 30 48 103 5 29 0 95 62.14 52.14
25 0 16 67 104 0 86 49.26 43.26
26 0 112 194 196 186 86 0 90 52.52 42.52
27 0 76 40 130 12 0 91 46.29 38.29
28 0 81 100 7 51 149 26 0 98 59.56 47.56
29 0 66 113 68 143 90 41 136 0 100 86.88 72.88
30 0 34 65 176 46 175 0 88 50.17 40.17
(cont.)
1053
Table D.36 continued.
No. Route Load Cost Distance
31 0 98 45 4 87 0 84 42.69 34.69
32 0 188 96 61 6 0 88 31.23 23.23
33 0 152 157 2 0 58 24.63 18.63
34 0 126 17 44 55 3 151 0 88 54.76 42.76
35 0 170 164 0 35 103.89 99.89
Total Distance 2208.18
1054
Table D.37: VIPH solution to VRP11-SC.
No. Route Load Cost Distance
1 0 56 60 63 66 64 62 61 65 0 99 206.03 206.03
2 0 40 43 45 51 50 49 47 46 44 0 100 188.83 188.83
3 0 16 22 24 27 33 30 31 34 36 29 35 32 28 20 0 98 199.57 199.57
4 0 37 41 48 42 39 38 95 0 100 173.17 173.17
5 0 69 70 72 78 80 79 77 73 0 100 133.89 133.89
6 0 9 11 15 14 13 12 8 0 99 116.10 116.10
7 0 17 19 25 23 26 21 109 0 99 163.58 163.58
8 0 100 53 55 58 59 57 54 52 0 100 186.52 186.52
9 0 84 117 113 83 108 118 18 114 90 91 0 100 52.21 52.21
10 0 98 68 76 74 75 71 67 0 100 122.29 122.29
11 0 93 94 97 115 110 116 103 104 107 106 105 0 100 51.57 51.57
12 0 81 112 85 89 92 96 99 101 102 0 96 41.82 41.82
13 0 120 119 82 111 86 87 0 84 34.14 34.14
14 0 6 7 10 5 4 3 1 2 88 0 100 107.40 107.40
Total Distance 1777.12
1055
Table D.38: VIPH solution to VRP12-SC.
No. Route Load Cost Distance
1 0 76 71 70 73 77 79 80 0 100 127.06 127.06
2 0 53 56 58 60 0 100 99.45 99.45
3 0 94 92 93 95 0 100 89.25 89.25
4 0 18 19 16 14 12 0 100 90.51 90.51
5 0 55 54 57 59 0 100 82.50 82.50
6 0 31 35 33 32 0 100 77.99 77.99
7 0 13 15 17 0 90 74.88 74.88
8 0 81 78 82 83 84 0 100 111.94 111.94
9 0 87 86 85 88 89 0 100 62.06 62.06
10 0 34 36 39 38 37 0 100 86.68 86.68
11 0 98 96 97 100 99 1 0 100 85.49 85.49
12 0 49 52 50 51 48 45 46 47 0 100 55.64 55.64
13 0 69 68 64 61 72 74 0 100 53.66 53.66
14 0 43 42 44 40 41 0 60 45.47 45.47
15 0 7 6 9 8 11 10 0 90 46.16 46.16
16 0 90 91 75 2 4 3 5 0 100 68.17 68.17
17 0 66 62 63 65 67 0 100 39.76 39.76
18 0 21 22 25 0 80 30.33 30.33
19 0 20 24 27 29 30 28 26 23 0 90 47.43 47.43
Total Distance 1374.44
1056
Table D.39: VIPH solution to VRP13-SC.
No. Route Load Cost Distance
1 0 56 60 63 66 64 62 61 65 0 99 302.03 206.03
2 0 110 40 43 45 51 50 49 46 44 0 100 294.18 186.18
3 0 22 24 27 33 30 31 34 36 29 35 32 28 25 0 97 357.52 201.52
4 0 37 41 47 48 42 39 38 0 98 259.20 175.20
5 0 69 70 72 78 80 79 77 73 0 100 229.89 133.89
6 0 9 11 15 14 13 12 8 0 99 200.10 116.10
7 0 88 2 1 3 4 5 10 7 6 0 100 215.40 107.40
8 0 17 16 19 23 26 20 21 109 0 100 259.85 163.85
9 0 100 53 55 58 59 57 54 52 0 100 282.52 186.52
10 0 84 117 113 83 108 118 18 114 90 91 0 100 172.21 52.21
11 0 98 68 76 74 75 71 67 0 100 206.47 122.47
12 0 96 93 94 97 115 116 103 104 107 105 0 98 170.84 50.84
13 0 119 81 112 85 89 92 87 0 95 118.30 34.30
14 0 120 106 99 101 102 95 86 111 82 0 89 152.08 44.08
Total Distance 1780.59
1057
Table D.40: VIPH solution to VRP14-SC.
No. Route Load Cost Distance
1 0 21 22 25 0 80 96.33 30.33
2 0 76 71 70 73 77 79 80 0 100 281.06 127.06
3 0 53 56 58 60 0 100 187.45 99.45
4 0 94 92 93 95 0 100 177.25 89.25
5 0 18 19 16 14 12 0 100 200.51 90.51
6 0 55 54 57 59 0 100 170.50 82.50
7 0 31 35 33 32 0 100 165.99 77.99
8 0 13 15 17 0 90 140.88 74.88
9 0 81 78 82 83 84 0 100 221.94 111.94
10 0 87 86 85 88 89 0 100 172.06 62.06
11 0 34 36 39 38 37 0 100 196.68 86.68
12 0 98 96 97 100 99 1 0 100 217.49 85.49
13 0 49 52 50 51 48 45 46 47 0 100 231.64 55.64
14 0 69 68 64 61 72 74 0 100 185.66 53.66
15 0 43 42 44 40 41 0 60 155.47 45.47
16 0 7 6 8 9 11 10 0 90 178.16 46.16
17 0 90 91 75 2 4 3 5 0 100 222.17 68.17
18 0 23 26 28 30 29 27 24 20 0 90 223.43 47.43
19 0 66 62 63 65 67 0 100 149.76 39.76
Total Distance 1374.44
1058
Table D.41: VIPH solution to VRP15-SC.
No. Route Load Cost Distance
1 0 39 79 119 159 199 239 240 200 160 120 80 40 0 240 388.25 388.25
2 0 29 69 109 149 189 229 230 190 150 110 70 30 0 240 388.25 388.25
3 0 19 59 99 139 179 219 220 180 140 100 60 20 0 240 388.25 388.25
4 0 38 78 118 158 198 238 237 197 157 117 77 37 0 240 388.25 388.25
5 0 36 76 116 156 196 236 235 195 155 115 75 35 0 240 388.25 388.25
6 0 34 74 114 154 194 234 233 193 153 113 73 33 0 240 388.25 388.25
7 0 32 72 112 152 192 232 231 191 151 111 71 31 0 240 388.25 388.25
8 0 28 68 108 148 188 228 227 187 147 107 67 27 0 240 388.25 388.25
9 0 26 66 106 146 186 226 225 185 145 105 65 25 0 240 388.25 388.25
10 0 24 64 104 144 184 224 223 183 143 103 63 23 0 240 388.25 388.25
11 0 22 62 102 142 182 222 221 181 141 101 61 21 0 240 388.25 388.25
12 0 18 58 98 138 178 218 217 177 137 97 57 17 0 240 388.25 388.25
13 0 16 56 96 136 176 216 215 175 135 95 55 15 0 240 388.25 388.25
14 0 14 54 94 134 174 214 213 173 133 93 53 13 0 240 388.25 388.25
15 0 12 52 92 132 172 212 211 171 131 91 51 11 0 240 388.25 388.25
16 0 10 50 90 130 170 210 209 169 129 89 49 9 0 240 388.25 388.25
17 0 8 48 88 128 168 208 207 167 127 87 47 7 0 240 388.25 388.25
18 0 6 46 86 126 166 206 205 165 125 85 45 5 0 240 388.25 388.25
19 0 4 44 84 124 164 204 203 163 123 83 43 3 0 240 388.25 388.25
20 0 2 42 82 122 162 202 201 161 121 81 41 1 0 240 388.25 388.25
Total Distance 7764.91
1059
Table D.42: ERTR solution to VRP1.
No. Route Load Cost Distance
1 0 6 14 25 24 43 7 23 48 27 0 152 98.45 98.45
2 0 8 26 31 28 3 36 35 20 22 1 32 0 149 118.52 118.52
3 0 11 2 29 21 16 50 34 30 9 38 0 159 99.33 99.33
4 0 12 37 44 15 45 33 39 10 49 5 46 0 160 99.25 99.25
5 0 18 13 41 40 19 42 17 4 47 0 157 109.06 109.06
Total Distance 524.61
Table D.43: ERTR solution to VRP2.
No. Route Load Cost Distance
1 0 2 62 22 28 61 21 74 0 138 89.34 89.34
2 0 6 33 16 49 24 3 17 0 128 76.96 76.96
3 0 7 11 66 65 38 26 0 140 76.48 76.48
4 0 12 72 39 9 32 44 40 0 140 65.88 65.88
5 0 27 13 54 57 15 5 48 30 68 0 140 87.51 87.51
6 0 35 53 14 59 19 8 52 0 137 89.38 89.38
7 0 45 29 37 20 70 60 71 69 36 47 0 136 103.47 103.47
8 0 51 50 18 55 25 31 10 58 0 140 120.22 120.22
9 0 63 23 56 41 64 42 43 1 73 0 139 106.59 106.59
10 0 67 46 34 4 75 0 126 29.08 29.08
Total Distance 844.88
1060
Table D.44: ERTR solution to VRP3.
No. Route Load Cost Distance
1 0 6 99 61 16 86 38 44 14 43 42 87 13 0 194 111.50 111.50
2 0 12 80 68 24 29 34 78 79 3 77 76 28 0 169 90.26 90.26
3 0 26 4 56 23 67 39 25 55 54 0 153 107.08 107.08
4 0 27 31 10 32 90 63 64 49 19 11 62 88 0 191 124.84 124.84
5 0 50 33 81 51 9 35 71 65 66 20 30 70 1 69 0 195 126.90 126.90
6 0 52 7 82 48 47 36 46 8 45 17 84 5 60 83 18 89 0 200 124.38 124.38
7 0 53 40 21 73 72 74 75 22 41 15 57 2 58 0 157 83.10 83.10
8 0 94 95 97 92 37 98 100 91 85 93 59 96 0 199 59.35 59.35
Total Distance 827.39
Table D.45: ERTR solution to VRP4.
No. Route Load Cost Distance
1 0 5 71 123 122 124 125 33 72 91 45 15 52 108 103 0 197 70.74 70.74
2 0 11 100 2 83 131 20 59 121 3 101 51 0 194 83.62 83.62
3 0 12 47 139 0 69 23.16 23.16
4 0 17 142 111 66 41 136 13 67 134 55 18 0 198 87.27 87.27
5 0 27 81 60 8 26 113 140 82 31 80 120 1 32 77 0 196 83.78 83.78
6 0 37 137 44 107 65 93 92 42 64 88 40 94 19 141 150 87 147 0 199 118.47 118.47
7 0 38 62 9 104 34 74 79 21 130 50 118 16 78 0 192 75.77 75.77
8 0 46 138 48 112 7 61 114 99 43 86 69 23 57 6 102 0 198 118.61 118.61
9 0 56 110 133 14 58 25 95 96 24 97 98 132 68 0 193 97.00 97.00
10 0 63 145 109 148 135 143 4 149 146 144 0 200 51.04 51.04
11 0 76 49 30 105 75 39 89 117 73 106 54 10 90 0 200 110.25 110.25
12 0 119 22 70 28 116 115 36 85 35 84 128 29 129 53 127 126 0 199 116.86 116.86
Total Distance 1036.57
1061
Table D.46: ERTR solution to VRP5.
No. Route Load Cost Distance
1 0 3 55 44 106 32 72 118 56 25 110 161 97 187 0 199 77.81 77.81
2 0 4 87 111 58 27 99 179 167 65 34 127 0 194 48.67 48.67
3 0 6 0 19 4.47 4.47
4 0 12 80 131 189 75 162 31 163 148 92 135 146 18 151 0 199 133.38 133.38
5 0 16 159 67 183 116 62 185 89 137 142 114 156 93 86 0 200 113.93 113.93
6 0 26 132 180 69 84 134 85 164 170 108 150 100 81 0 197 107.17 107.17
7 0 54 30 48 47 155 36 122 174 171 120 152 0 197 73.46 73.46
8 0 59 103 5 88 37 138 166 20 124 154 15 29 98 0 198 95.36 95.36
9 0 60 149 51 7 35 178 78 102 8 176 46 175 0 199 57.09 57.09
10 0 61 33 193 194 158 53 198 195 96 188 0 200 42.47 42.47
11 0 71 119 38 52 11 165 77 10 129 169 50 168 0 198 96.23 96.23
12 0 95 76 40 9 57 109 39 130 17 126 0 200 59.93 59.93
13 0 104 23 160 184 190 43 199 197 136 1 191 196 66 112 0 198 68.27 68.27
14 0 105 192 115 90 41 143 68 42 113 91 141 22 186 0 200 81.59 81.59
15 0 117 181 147 73 145 24 144 74 107 63 49 182 0 192 90.58 90.58
16 0 125 45 153 79 83 13 123 128 70 19 133 14 177 0 196 99.89 99.89
17 0 139 172 21 173 82 121 140 94 64 28 101 2 157 0 200 65.43 65.43
Total Distance 1315.71
1062
Table D.47: ERTR solution to VRP6.
No. Route Load Cost Distance
1 0 1 8 26 7 43 24 23 48 27 0 125 193.61 103.61
2 0 5 49 10 39 33 45 15 37 12 0 139 182.96 92.96
3 0 6 14 25 18 0 105 94.05 54.05
4 0 11 16 29 21 50 34 30 9 38 46 0 134 191.00 91.00
5 0 17 44 42 19 40 41 13 4 47 0 132 199.07 109.07
6 0 22 31 28 3 36 35 20 2 32 0 142 198.30 108.30
Total Distance 558.99
Table D.48: ERTR solution to VRP7.
No. Route Load Cost Distance
1 0 4 20 70 60 71 69 0 87 158.76 98.76
2 0 6 73 1 42 64 22 62 0 112 159.92 89.92
3 0 7 35 14 59 19 8 46 0 138 151.36 81.36
4 0 9 25 55 18 50 32 0 113 152.97 92.97
5 0 12 72 39 31 10 58 26 0 123 151.69 81.69
6 0 16 49 24 3 44 40 17 0 132 146.84 76.84
7 0 27 15 57 13 54 52 34 67 0 135 157.54 77.54
8 0 30 74 21 61 28 2 68 0 140 144.38 74.38
9 0 33 43 41 56 23 63 51 0 115 155.24 85.24
10 0 38 65 66 11 53 0 129 127.16 77.16
11 0 45 29 5 37 36 47 48 75 0 140 153.82 73.82
Total Distance 909.68
1063
Table D.49: ERTR solution to VRP8.
No. Route Load Cost Distance
1 0 1 51 20 66 65 71 35 9 81 33 50 0 163 227.93 117.93
2 0 5 84 17 45 46 8 83 60 89 0 90 178.60 88.60
3 0 6 96 99 59 93 85 91 100 37 98 92 95 94 0 199 188.26 58.26
4 0 12 80 68 24 29 34 78 79 3 77 76 28 0 169 210.26 90.26
5 0 13 97 87 42 43 14 44 38 86 16 61 0 194 224.53 114.53
6 0 18 82 48 47 36 49 64 11 19 7 52 0 178 227.55 117.55
7 0 26 4 56 23 67 39 25 55 54 0 153 197.08 107.08
8 0 27 69 70 30 32 90 63 10 62 88 31 0 155 200.12 90.12
9 0 53 40 21 73 72 74 75 22 41 15 57 2 58 0 157 213.10 83.10
Total Distance 867.41
Table D.50: ERTR solution to VRP9.
No. Route Load Cost Distance
1 0 1 120 80 70 116 28 31 82 140 8 0 141 195.71 95.71
2 0 3 121 115 36 85 35 84 128 11 0 118 199.33 109.33
3 0 5 10 54 39 89 117 73 106 125 122 0 193 196.13 96.13
4 0 12 144 145 142 87 148 109 4 149 146 47 0 178 157.49 47.49
5 0 27 81 60 26 113 61 7 69 23 57 46 0 149 193.43 83.43
6 0 37 137 44 107 65 93 42 92 147 17 63 0 129 188.33 78.33
7 0 38 9 34 74 75 105 30 104 49 76 0 135 181.84 81.84
8 0 56 111 66 136 13 67 134 55 18 110 139 0 187 191.23 81.23
9 0 62 50 130 118 21 79 29 129 53 127 16 126 78 0 188 199.21 69.21
10 0 68 133 14 58 25 95 96 24 132 6 102 0 148 198.08 88.08
11 0 77 32 119 51 22 101 59 20 131 83 2 100 0 186 193.98 73.98
12 0 98 97 86 43 99 114 112 48 138 0 163 199.85 109.85
13 0 103 90 71 123 124 33 72 91 45 15 52 108 0 142 184.60 64.60
14 0 143 135 141 41 94 40 88 64 19 150 0 178 191.69 91.69
Total Distance 1170.90
1064
Table D.51: ERTR solution to VRP10.
No. Route Load Cost Distance
1 0 2 157 101 28 64 94 140 121 82 21 172 139 0 192 184.04 64.04
2 0 5 103 88 37 138 166 20 124 154 15 0 162 194.66 94.66
3 0 6 61 112 186 22 141 91 142 114 156 93 86 0 174 196.71 76.71
4 0 12 80 131 31 162 75 189 57 39 109 0 150 190.10 90.10
5 0 17 76 40 187 32 106 44 55 3 151 95 0 167 161.38 51.38
6 0 26 100 51 7 35 178 78 8 102 176 46 175 0 195 180.76 60.76
7 0 27 179 99 167 70 128 123 13 83 153 79 29 0 177 199.41 79.41
8 0 30 48 59 47 155 36 122 174 173 171 120 152 0 189 197.57 77.57
9 0 33 158 199 113 137 89 185 62 116 183 0 182 199.85 99.85
10 0 34 65 19 177 133 14 69 180 132 149 60 0 194 190.22 80.22
11 0 54 125 98 45 58 111 4 87 127 0 168 130.74 40.74
12 0 66 196 42 68 143 41 90 115 160 23 104 96 0 184 195.80 75.80
13 0 67 159 182 49 74 144 145 24 107 63 16 188 0 196 199.58 79.58
14 0 81 71 119 38 165 77 10 129 169 50 168 0 157 194.98 84.98
15 0 97 161 110 163 148 92 135 146 147 0 166 199.85 109.85
16 0 105 195 53 198 192 184 190 43 197 136 191 1 194 193 0 199 194.16 54.16
17 0 108 84 134 85 164 170 11 52 150 0 145 194.63 104.63
18 0 117 181 73 18 72 118 56 25 9 130 126 0 189 198.53 88.53
Total Distance 1412.97
1065
Table D.52: ERTR solution to VRP11.
No. Route Load Cost Distance
1 0 8 12 13 14 15 11 10 9 7 6 5 4 3 1 2 88 0 199 134.96 134.96
2 0 17 16 19 25 22 24 27 33 30 31 34 36 29 35 32 28 26 23 197 207.94 207.9420 21 109 0
3 0 40 43 45 48 51 50 49 47 46 44 41 42 39 38 37 95 0 200 199.63 199.63
4 0 52 54 57 59 65 61 62 64 66 63 60 56 58 55 53 100 0 199 213.63 213.63
5 0 82 111 86 85 89 91 90 114 18 118 108 83 113 117 84 112 81 119 0 188 66.96 66.96
6 0 87 92 93 96 94 97 115 110 98 116 103 104 99 101 102 105 120 0 193 74.56 74.56
7 0 106 73 76 68 77 79 80 78 75 72 74 71 70 69 67 107 0 199 144.43 144.43
Total Distance 1042.12
Table D.53: ERTR solution to VRP12.
No. Route Load Cost Distance
1 0 5 3 7 8 11 9 6 4 2 1 75 0 170 56.17 56.17
2 0 10 12 14 16 15 19 18 17 13 0 200 96.04 96.04
3 0 20 24 25 27 29 30 28 26 23 22 21 0 170 50.80 50.80
4 0 32 33 31 35 37 38 39 36 34 0 200 97.23 97.23
5 0 43 42 41 40 44 45 46 48 51 50 52 49 47 0 160 64.81 64.81
6 0 55 54 53 56 58 60 59 57 0 200 101.88 101.88
7 0 66 62 74 63 65 67 0 150 43.59 43.59
8 0 69 68 64 61 72 80 79 77 73 70 71 76 78 81 0 200 137.02 137.02
9 0 90 87 86 83 82 84 85 88 89 91 0 170 76.07 76.07
10 0 98 96 95 94 92 93 97 100 99 0 190 95.94 95.94
Total Distance 819.56
1066
Table D.54: ERTR solution to VRP13.
No. Route Load Cost Distance
1 0 17 16 19 22 24 27 25 23 20 21 0 114 671.98 171.98
2 0 26 28 31 30 33 34 36 35 32 29 0 70 693.03 193.03
3 0 37 41 44 47 46 49 50 51 48 39 0 121 688.34 188.34
4 0 38 42 45 43 40 59 57 54 53 52 0 133 710.15 210.15
5 0 55 58 56 60 63 66 64 62 61 65 0 129 709.92 209.92
6 0 68 76 77 79 80 78 75 72 74 71 73 0 141 686.62 136.62
7 0 82 112 117 83 6 5 4 3 1 2 81 119 0 135 707.58 107.58
8 0 84 113 7 9 10 11 15 14 13 12 8 108 0 158 717.94 117.94
9 0 87 92 89 91 90 114 109 118 18 85 86 111 88 0 144 703.97 53.97
10 0 95 96 93 94 97 115 110 98 67 69 70 120 0 144 718.66 118.66
11 0 102 101 99 100 116 103 104 107 106 105 0 86 538.45 38.45
Total Distance 1546.62
Table D.55: ERTR solution to VRP14.
No. Route Load Cost Distance
1 0 1 99 100 97 93 92 94 95 96 98 0 200 996.70 96.70
2 0 5 3 7 8 11 9 6 4 2 75 0 160 956.17 56.17
3 0 10 12 14 16 15 19 18 17 13 0 200 906.04 96.04
4 0 20 49 52 50 51 48 45 46 47 0 110 871.56 61.56
5 0 21 22 24 25 27 29 30 28 26 23 0 160 949.41 49.41
6 0 32 33 31 35 37 38 39 36 34 0 200 907.23 97.23
7 0 41 40 44 42 43 0 60 495.47 45.47
8 0 55 54 53 56 58 60 59 57 0 200 821.88 101.88
9 0 63 80 79 77 73 70 71 76 78 81 0 200 1028.04 128.04
10 0 67 65 62 74 72 61 64 68 66 69 0 150 957.79 57.79
11 0 90 87 86 83 82 84 85 88 89 91 0 170 976.07 76.07
Total Distance 866.37
1067
Table D.56: ERTR solution to VRP15.
No. Route Load Cost Distance
1 0 1 40 79 78 118 158 198 238 239 240 201 202 203 204 205 206 166 126 540 629.06 629.0686 85 45 46 6 5 0
2 0 2 3 43 42 41 80 119 120 81 82 83 123 122 121 160 159 199 200 540 626.96 626.96161 162 163 164 165 125 124 84 44 4 0
3 0 7 47 87 127 128 168 167 207 208 209 210 211 212 213 214 215 175 135 550 647.16 647.1695 94 54 14 13 0
4 0 8 48 88 89 90 91 92 132 131 130 129 169 170 171 172 173 174 134 530 601.28 601.28133 93 53 52 51 50 49 9 10 11 12 0
5 0 17 16 15 55 56 57 97 96 136 176 216 217 218 219 179 178 177 137 550 610.23 610.23138 139 99 98 58 59 60 19 18 0
6 0 20 21 63 103 104 105 145 144 143 142 141 181 182 183 184 185 186 187 550 613.50 613.50147 146 106 107 67 66 65 64 24 0
7 0 23 22 61 62 102 101 100 140 180 220 221 222 223 224 225 226 227 228 460 643.18 643.18188 148 108 68 28 27 26 25 0
8 0 32 31 30 29 69 70 110 109 149 150 151 191 190 189 229 230 231 232 550 643.18 643.18192 152 153 113 112 111 71 72 73 74 33 0
9 0 34 35 75 76 116 115 114 154 155 195 194 193 233 234 235 236 237 197 530 638.48 638.48196 156 157 117 77 36 37 38 39 0
Total Distance 5653.04
1068
Table D.57: ERTR solution to VRP1-SC.
No. Route Load Cost Distance
1 0 1 3 36 35 20 29 0 80 97.51 97.51
2 0 5 37 44 17 12 0 78 59.19 59.19
3 0 6 24 25 14 0 74 63.88 63.88
4 0 8 26 31 28 22 32 0 75 77.36 77.36
5 0 11 2 16 38 0 79 56.25 56.25
6 0 13 41 40 19 42 0 79 101.17 101.17
7 0 15 45 33 39 10 49 0 80 91.62 91.62
8 0 18 4 47 0 75 39.62 39.62
9 0 23 43 7 48 27 0 78 75.02 75.02
10 0 46 9 30 34 21 50 0 79 81.35 81.35
Total Distance 742.97
1069
Table D.58: ERTR solution to VRP2-SC.
No. Route Load Cost Distance
1 0 1 42 64 22 0 69 89.10 89.10
2 0 3 50 18 55 25 0 67 94.67 94.67
3 0 4 67 0 60 19.46 19.46
4 0 6 33 63 51 0 69 47.68 47.68
5 0 8 7 58 26 0 70 57.14 57.14
6 0 9 32 0 57 53.02 53.02
7 0 11 53 35 0 69 62.18 62.18
8 0 12 40 17 0 69 31.95 31.95
9 0 14 59 19 0 70 79.73 79.73
10 0 16 49 24 44 0 68 71.19 71.19
11 0 20 70 60 71 69 36 0 69 101.71 101.71
12 0 21 47 48 0 67 60.56 60.56
13 0 23 56 41 43 0 65 83.58 83.58
14 0 28 61 62 73 0 68 75.41 75.41
15 0 29 5 37 15 57 0 70 73.86 73.86
16 0 30 74 2 68 0 68 42.80 42.80
17 0 34 52 46 0 65 30.65 30.65
18 0 38 65 66 0 70 75.44 75.44
19 0 39 31 10 72 0 68 80.27 80.27
20 0 45 27 13 54 0 66 62.45 62.45
21 0 75 0 20 6.00 6.00
Total Distance 1298.85
1070
Table D.59: ERTR solution to VRP3-SC.
No. Route Load Cost Distance
1 0 3 79 33 81 9 51 0 99 73.70 73.70
2 0 5 61 84 17 45 83 60 89 0 93 78.90 78.90
3 0 6 96 99 93 59 94 0 100 41.36 41.36
4 0 7 48 47 36 46 8 82 0 99 93.27 93.27
5 0 12 80 24 29 68 77 76 0 100 70.93 70.93
6 0 13 87 42 14 43 15 57 0 96 83.28 83.28
7 0 16 86 38 44 91 98 0 99 91.47 91.47
8 0 18 19 49 64 11 62 0 99 107.75 107.75
9 0 26 54 4 72 21 40 0 99 64.11 64.11
10 0 27 31 1 50 28 0 82 52.40 52.40
11 0 52 88 10 63 90 32 30 70 0 96 84.14 84.14
12 0 53 73 74 75 22 41 2 58 0 97 66.89 66.89
13 0 55 25 39 67 23 56 0 99 101.89 101.89
14 0 69 20 66 65 71 35 34 78 0 100 117.68 117.68
15 0 85 100 37 92 97 95 0 100 54.18 54.18
Total Distance 1181.94
1071
Table D.60: ERTR solution to VRP4-SC.
No. Route Load Cost Distance
1 0 3 121 115 36 85 35 84 128 0 99 109.22 109.22
2 0 6 24 97 98 57 46 0 98 71.33 71.33
3 0 9 104 30 34 74 79 21 130 0 100 74.94 74.94
4 0 10 54 39 89 106 122 0 100 71.63 71.63
5 0 11 83 131 2 100 0 99 55.21 55.21
6 0 12 144 56 47 139 0 99 29.40 29.40
7 0 16 127 53 29 129 126 77 0 100 57.48 57.48
8 0 19 64 88 40 94 41 141 0 98 91.06 91.06
9 0 20 59 101 80 1 119 32 0 100 76.56 76.56
10 0 23 69 7 61 112 48 0 100 73.03 73.03
11 0 27 81 8 60 138 102 0 99 59.60 59.60
12 0 37 52 15 45 91 72 33 124 123 0 99 64.38 64.38
13 0 38 62 50 118 78 0 96 44.78 44.78
14 0 51 22 70 116 28 31 82 0 100 91.59 91.59
15 0 63 17 147 109 145 0 86 41.48 41.48
16 0 68 14 58 95 25 133 0 97 61.86 61.86
17 0 76 49 5 103 0 70 30.67 30.67
18 0 90 71 125 73 117 75 105 0 100 97.79 97.79
19 0 108 44 107 65 93 42 92 137 0 100 76.23 76.23
20 0 110 18 55 149 4 146 0 99 46.57 46.57
21 0 111 66 136 13 67 134 0 99 78.78 78.78
22 0 120 140 26 113 114 99 43 86 96 132 0 97 123.38 123.38
23 0 142 87 148 150 135 143 0 100 53.34 53.34
Total Distance 1580.31
1072
Table D.61: ERTR solution to VRP5-SC.
No. Route Load Cost Distance
1 0 6 96 33 61 0 100 24.48 24.48
2 0 16 117 3 55 44 17 0 94 48.13 48.13
3 0 26 149 51 7 100 81 0 98 47.56 47.56
4 0 30 59 5 103 29 98 0 98 51.55 51.55
5 0 32 161 9 187 76 0 100 56.41 56.41
6 0 34 65 46 175 60 0 93 37.75 37.75
7 0 35 178 78 19 102 8 176 0 97 62.98 62.98
8 0 39 109 57 189 131 80 169 0 97 73.31 73.31
9 0 40 130 12 168 126 0 98 38.92 38.92
10 0 45 153 83 13 123 128 70 0 97 70.74 70.74
11 0 48 47 174 173 171 139 0 99 58.90 58.90
12 0 49 74 144 116 62 160 23 183 0 100 80.78 80.78
13 0 50 129 10 77 38 71 0 100 72.33 72.33
14 0 54 125 87 4 127 0 99 27.97 27.97
15 0 66 196 22 141 91 142 114 156 93 86 0 92 77.22 77.22
16 0 73 146 18 147 106 151 0 100 71.06 71.06
17 0 75 162 31 163 148 92 135 145 0 98 128.37 128.37
18 0 79 15 154 124 20 166 36 155 0 100 94.88 94.88
19 0 88 37 138 122 120 0 99 79.90 79.90
20 0 94 140 121 82 21 172 0 93 62.53 62.53
21 0 95 72 118 56 25 110 97 0 100 73.55 73.55
22 0 101 64 28 186 112 0 95 46.15 46.15
23 0 105 115 185 90 41 190 0 100 72.83 72.83
24 0 108 11 170 52 150 0 94 80.66 80.66
25 0 111 58 27 99 179 167 0 99 47.53 47.53
26 0 113 137 89 143 68 42 199 191 0 100 87.71 87.71
27 0 119 165 164 85 134 84 133 0 99 113.07 113.07
28 0 132 180 69 14 177 0 99 73.32 73.32
29 0 136 197 43 184 192 0 99 52.31 52.31
30 0 152 2 157 0 58 18.63 18.63
31 0 159 67 104 53 198 195 0 99 46.55 46.55
32 0 181 24 107 63 182 188 0 99 64.05 64.05
33 0 193 158 1 194 0 93 38.58 38.58
Total Distance 2080.72
1073
Table D.62: ERTR solution to VRP6-SC.
No. Route Load Cost Distance
1 0 1 31 26 8 48 27 0 80 91.98 73.98
2 0 2 3 28 22 32 0 80 92.56 77.56
3 0 4 41 19 42 44 17 0 77 98.30 80.30
4 0 6 23 7 43 24 0 71 93.14 78.14
5 0 9 30 39 10 49 0 67 97.86 82.86
6 0 11 12 0 48 40.32 34.32
7 0 14 25 47 0 74 61.92 52.92
8 0 16 29 21 34 50 38 0 80 98.90 80.90
9 0 18 13 40 0 71 99.39 90.39
10 0 20 36 35 0 51 99.47 90.47
11 0 37 15 45 33 5 46 0 78 92.19 74.19
Total Distance 816.03
1074
Table D.63: ERTR solution to VRP7-SC.
No. Route Load Cost Distance
1 0 2 28 74 0 65 54.01 51.01
2 0 3 50 18 55 25 0 67 99.67 94.67
3 0 4 67 0 60 21.46 19.46
4 0 6 16 49 24 0 70 74.81 70.81
5 0 7 10 31 0 66 86.57 83.57
6 0 8 54 13 27 0 61 63.50 59.50
7 0 9 39 72 58 0 67 61.72 57.72
8 0 11 53 35 0 69 65.18 62.18
9 0 14 59 19 0 70 82.73 79.73
10 0 15 20 70 60 71 36 0 69 99.72 93.72
11 0 17 32 44 0 65 50.99 47.99
12 0 21 61 69 47 0 70 93.99 89.99
13 0 22 64 43 63 0 69 96.12 92.12
14 0 26 12 40 0 67 36.13 33.13
15 0 33 1 73 62 0 69 62.61 58.61
16 0 34 52 46 0 65 33.65 30.65
17 0 38 65 66 0 70 78.44 75.44
18 0 42 41 56 23 51 0 70 93.28 88.28
19 0 45 29 30 68 0 66 47.50 43.50
20 0 48 5 37 57 0 69 79.94 75.94
21 0 75 0 20 7.00 6.00
Total Distance 1314.04
1075
Table D.64: ERTR solution to VRP8-SC.
No. Route Load Cost Distance
1 0 1 51 20 32 30 70 69 27 0 100 98.68 82.68
2 0 6 93 91 44 38 14 100 92 0 99 103.22 87.22
3 0 7 47 36 49 19 88 0 93 107.66 95.66
4 0 12 68 80 54 26 0 96 65.50 55.50
5 0 13 87 42 43 15 57 2 53 0 97 89.73 73.73
6 0 18 60 84 17 86 16 61 99 0 100 99.89 83.89
7 0 28 77 3 29 24 55 25 4 58 0 100 111.88 93.88
8 0 31 10 90 63 64 11 62 0 96 112.05 98.05
9 0 33 81 35 34 78 79 76 0 98 101.70 87.70
10 0 37 98 85 5 89 0 100 64.93 54.93
11 0 39 67 23 56 73 0 100 103.57 93.57
12 0 40 21 72 74 75 22 41 0 94 80.72 66.72
13 0 50 9 71 65 66 0 89 114.88 104.88
14 0 52 82 48 46 8 45 83 0 98 100.05 86.05
15 0 94 95 97 59 96 0 98 51.63 41.63
Total Distance 1206.08
1076
Table D.65: ERTR solution to VRP9-SC.
No. Route Load Cost Distance
1 0 1 31 82 140 113 26 8 60 0 100 97.00 81.00
2 0 5 71 122 123 108 103 0 98 59.50 47.50
3 0 6 43 99 69 23 57 46 0 99 104.45 90.45
4 0 7 114 61 112 48 0 76 104.01 94.01
5 0 10 54 39 75 105 30 104 38 0 98 91.26 75.26
6 0 12 144 145 63 0 99 39.51 31.51
7 0 17 147 87 150 141 135 148 0 92 69.93 55.93
8 0 32 22 70 116 28 80 120 119 0 100 98.86 82.86
9 0 37 44 107 65 93 42 92 137 0 91 91.27 75.27
10 0 41 94 40 88 64 19 142 0 99 104.87 90.87
11 0 47 55 18 110 0 95 51.27 43.27
12 0 50 130 34 74 79 21 118 0 98 83.15 69.15
13 0 51 59 20 84 128 29 129 0 100 94.96 80.96
14 0 52 15 45 91 72 33 125 124 0 99 82.97 66.97
15 0 56 146 109 143 4 149 139 0 97 58.25 44.25
16 0 68 14 58 95 25 133 0 97 73.86 61.86
17 0 76 49 9 62 11 78 0 100 56.47 44.47
18 0 77 27 81 138 102 0 76 53.93 43.93
19 0 83 131 35 85 36 3 101 0 94 104.94 90.94
20 0 89 117 73 106 90 0 100 102.72 92.72
21 0 98 24 97 86 96 132 0 95 104.38 92.38
22 0 100 2 53 127 16 126 0 98 62.89 50.89
23 0 111 66 136 13 67 134 0 99 90.78 78.78
24 0 115 121 0 35 103.89 99.89
Total Distance 1685.11
1077
Table D.66: ERTR solution to VRP10-SC.
No. Route Load Cost Distance
1 0 6 33 193 112 0 96 36.49 28.49
2 0 7 69 84 134 85 170 150 0 99 104.97 90.97
3 0 11 164 0 57 103.88 99.88
4 0 17 189 75 162 31 131 80 0 99 103.61 89.61
5 0 19 177 133 14 180 132 0 100 89.90 77.90
6 0 26 149 51 34 60 0 99 57.78 47.78
7 0 29 15 154 124 20 138 88 0 96 95.26 81.26
8 0 32 56 163 9 76 0 100 104.25 94.25
9 0 35 178 78 70 128 123 13 83 0 97 92.42 76.42
10 0 37 166 122 36 155 120 0 97 104.90 92.90
11 0 45 153 79 5 103 0 98 67.74 57.74
12 0 48 171 173 21 172 139 0 99 65.49 53.49
13 0 53 198 160 62 116 23 183 104 0 95 87.89 71.89
14 0 54 30 64 28 101 86 0 98 57.45 45.45
15 0 59 47 174 82 121 140 94 0 98 83.43 69.43
16 0 61 157 2 152 0 87 30.38 22.38
17 0 65 8 102 176 46 175 0 98 57.91 45.91
18 0 66 186 22 141 91 142 114 156 93 0 97 94.81 76.81
19 0 81 71 77 10 129 169 50 168 0 99 84.48 68.48
20 0 95 40 130 12 126 0 97 48.54 38.54
21 0 96 67 16 188 0 100 45.60 37.60
22 0 100 119 38 165 52 108 0 100 99.74 87.74
23 0 105 115 185 89 137 113 0 100 103.77 91.77
24 0 107 24 144 74 49 182 159 0 99 78.85 64.85
25 0 109 39 57 161 97 187 0 100 73.36 61.36
26 0 110 25 72 106 44 55 3 151 0 99 90.71 74.71
27 0 111 58 27 179 99 167 0 99 59.53 47.53
28 0 117 63 145 73 146 18 181 0 100 96.07 82.07
29 0 118 148 92 135 147 0 99 104.58 94.58
30 0 125 98 4 87 127 0 96 43.26 33.26
31 0 191 136 42 68 143 90 41 197 0 100 83.98 67.98
32 0 192 184 190 43 199 0 99 63.52 53.52
33 0 194 196 1 158 195 0 89 51.64 41.64
Total Distance 2168.22
1078
Table D.67: ERTR solution to VRP11-SC.
No. Route Load Cost Distance
1 0 5 10 11 4 3 1 2 88 0 99 105.80 105.80
2 0 6 7 9 15 14 13 12 8 0 100 116.93 116.93
3 0 17 19 25 24 22 16 108 118 0 100 162.77 162.77
4 0 20 23 28 31 27 30 33 34 36 35 32 29 26 21 0 100 198.57 198.57
5 0 37 41 44 46 49 47 42 38 0 99 174.70 174.70
6 0 40 43 45 51 50 48 39 93 0 99 184.66 184.66
7 0 52 54 57 62 61 65 59 110 0 100 189.71 189.71
8 0 53 55 58 64 66 63 60 56 0 99 201.41 201.41
9 0 67 71 74 75 70 69 0 100 118.82 118.82
10 0 73 72 78 80 79 77 76 68 98 0 100 135.87 135.87
11 0 82 112 84 113 83 117 81 119 0 86 42.83 42.83
12 0 87 92 89 90 85 86 111 0 94 27.91 27.91
13 0 91 18 114 109 115 97 94 96 95 0 100 55.36 55.36
14 0 102 101 99 100 116 103 104 107 106 105 120 0 99 48.12 48.12
Total Distance 1763.47
1079
Table D.68: ERTR solution to VRP12-SC.
No. Route Load Cost Distance
1 0 5 3 2 1 75 91 90 0 100 67.56 67.56
2 0 7 4 6 9 8 11 10 0 100 48.23 48.23
3 0 12 14 16 19 18 0 100 90.51 90.51
4 0 13 15 17 0 90 74.88 74.88
5 0 20 24 27 29 30 28 26 23 0 90 47.43 47.43
6 0 21 22 25 0 80 30.33 30.33
7 0 31 35 33 32 0 100 77.99 77.99
8 0 34 36 39 38 37 0 100 86.68 86.68
9 0 41 40 44 42 43 0 60 45.47 45.47
10 0 47 46 45 48 51 50 52 49 0 100 55.64 55.64
11 0 53 56 58 60 0 100 99.45 99.45
12 0 55 54 57 59 0 100 82.50 82.50
13 0 66 62 63 65 67 0 100 39.76 39.76
14 0 69 68 64 61 72 74 0 100 53.66 53.66
15 0 76 71 70 73 77 79 80 0 100 127.06 127.06
16 0 81 78 82 83 84 0 100 111.94 111.94
17 0 87 86 85 88 89 0 100 62.06 62.06
18 0 94 92 93 95 0 100 89.25 89.25
19 0 98 96 97 100 99 0 90 84.73 84.73
Total Distance 1375.14
1080
Table D.69: ERTR solution to VRP13-SC.
No. Route Load Cost Distance
1 0 5 10 11 4 3 1 2 88 0 99 201.80 105.80
2 0 6 7 9 15 14 13 12 8 0 100 212.93 116.93
3 0 20 26 29 32 35 36 34 31 30 33 27 16 108 0 100 354.15 198.15
4 0 21 23 28 25 24 22 19 17 118 0 100 277.21 169.21
5 0 37 41 44 46 49 47 42 38 0 99 270.70 174.70
6 0 40 43 45 51 50 48 39 93 0 99 280.66 184.66
7 0 52 54 57 62 61 65 59 110 0 100 285.71 189.71
8 0 53 55 58 64 66 63 60 56 0 99 297.41 201.41
9 0 67 69 70 74 77 76 73 0 100 208.09 124.09
10 0 71 72 75 78 80 79 68 98 0 100 227.18 131.18
11 0 82 112 84 113 83 117 81 119 0 86 138.83 42.83
12 0 87 92 89 90 85 86 111 0 94 111.91 27.91
13 0 91 18 114 109 115 97 94 96 95 0 100 163.36 55.36
14 0 102 101 99 100 116 103 104 107 106 105 120 0 99 180.12 48.12
Total Distance 1770.06
1081
Table D.70: ERTR solution to VRP14-SC.
No. Route Load Cost Distance
1 0 4 99 100 97 96 98 0 100 218.99 86.99
2 0 5 3 7 6 9 8 10 0 100 199.74 45.74
3 0 11 13 15 17 0 100 166.04 78.04
4 0 12 14 16 19 18 0 100 200.51 90.51
5 0 20 24 27 29 30 28 26 23 0 90 223.43 47.43
6 0 21 22 25 0 80 96.33 30.33
7 0 31 35 33 32 0 100 165.99 77.99
8 0 34 36 39 38 37 0 100 196.68 86.68
9 0 41 40 44 45 48 51 50 52 49 0 90 256.29 58.29
10 0 43 42 46 47 0 70 131.58 43.58
11 0 53 56 58 60 0 100 187.45 99.45
12 0 55 54 57 59 0 100 170.50 82.50
13 0 66 62 63 65 67 0 100 149.76 39.76
14 0 69 68 64 61 72 74 0 100 185.66 53.66
15 0 75 1 2 91 90 0 80 174.45 64.45
16 0 76 71 70 73 77 79 80 0 100 281.06 127.06
17 0 81 78 82 83 84 0 100 221.94 111.94
18 0 87 86 85 88 89 0 100 172.06 62.06
19 0 94 92 93 95 0 100 177.25 89.25
Total Distance 1375.73
1082
Table D.71: ERTR solution to VRP15-SC.
No. Route Load Cost Distance
1 0 1 41 81 121 161 201 202 162 122 82 42 2 0 240 388.25 388.25
2 0 3 43 83 123 163 203 204 164 124 84 44 4 0 240 388.25 388.25
3 0 5 45 85 125 165 205 206 166 126 86 46 6 0 240 388.25 388.25
4 0 7 47 87 127 167 207 208 168 128 88 48 8 0 240 388.25 388.25
5 0 9 49 89 129 169 209 210 170 130 90 50 10 0 240 388.25 388.25
6 0 11 51 91 131 171 211 212 172 132 92 52 12 0 240 388.25 388.25
7 0 13 53 93 133 173 213 214 174 134 94 54 14 0 240 388.25 388.25
8 0 15 55 95 135 175 215 216 176 136 96 56 16 0 240 388.25 388.25
9 0 17 57 97 137 177 217 218 178 138 98 58 18 0 240 388.25 388.25
10 0 19 59 99 139 179 219 220 180 140 100 60 20 0 240 388.25 388.25
11 0 21 61 101 141 181 221 222 182 142 102 62 22 0 240 388.25 388.25
12 0 23 63 103 143 183 223 224 184 144 104 64 24 0 240 388.25 388.25
13 0 25 65 105 145 185 225 226 186 146 106 66 26 0 240 388.25 388.25
14 0 27 67 107 147 187 227 228 188 148 108 68 28 0 240 388.25 388.25
15 0 29 69 109 149 189 229 230 190 150 110 70 30 0 240 388.25 388.25
16 0 31 71 111 151 191 231 232 192 152 112 72 32 0 240 388.25 388.25
17 0 33 73 113 153 193 233 234 194 154 114 74 34 0 240 388.25 388.25
18 0 35 75 115 155 195 235 236 196 156 116 76 36 0 240 388.25 388.25
19 0 37 77 117 157 197 237 238 198 158 118 78 38 0 240 388.25 388.25
20 0 39 79 119 159 199 239 240 200 160 120 80 40 0 240 388.25 388.25
Total Distance 7764.91
1083
Appendix E
MDVRP: Problems and Solutions
Table E.1: Symbol key.
N Number of customers in a problem
M Number of depots
C Maximum route length
Q Vehicle capacity
No. Customer or route number
x x-coordinate of a node?s location
y y-coordinate of a node?s location
q Customer demand
Note: nodes 0 and N + 1, ..., N +M ?1 are depots.
1084
Table E.2: Dimensions for 23 MDVRPs.
Problem N M C Q
MD1 50 4 ? 80
MD2 50 4 ? 160
MD3 75 5 ? 140
MD4 100 2 ? 100
MD5 100 2 ? 200
MD6 100 3 ? 100
MD7 100 4 ? 100
MD8 249 2 310 500
MD9 249 3 310 500
MD10 249 4 310 500
MD11 249 5 310 500
MD12 80 2 ? 60
MD13 80 2 200 60
MD14 80 2 180 60
MD15 160 4 ? 60
MD16 160 4 200 60
MD17 160 4 180 60
MD18 240 6 ? 60
MD19 240 6 200 60
MD20 240 6 180 60
MD21 360 9 ? 60
MD22 360 9 200 60
MD23 360 9 180 60
1085
Table E.3: Node locations and demands for MD1 and MD2.
No. x y q No. x y q No. x y q No. x y q
0 20 20 0 14 12 42 21 28 43 67 14 42 21 10 13
1 37 52 7 15 36 16 10 29 58 48 6 43 5 64 11
2 49 49 30 16 52 41 15 30 58 27 19 44 30 15 16
3 52 64 16 17 27 23 3 31 37 69 11 45 39 10 10
4 20 26 9 18 17 33 41 32 38 46 12 46 32 39 5
5 40 30 21 19 13 13 9 33 46 10 23 47 25 32 25
6 21 47 15 20 57 58 28 34 61 33 26 48 25 55 17
7 17 63 19 21 62 42 8 35 62 63 17 49 48 28 18
8 31 62 23 22 42 57 8 36 63 69 6 50 56 37 10
9 52 33 11 23 16 57 16 37 32 22 9 51 30 40 0
10 51 21 5 24 8 52 10 38 45 35 15 52 50 30 0
11 42 41 19 25 7 38 28 39 59 15 14 53 60 50 0
12 31 32 29 26 27 68 7 40 5 6 7
13 5 25 23 27 30 48 15 41 10 17 27
1086
Table E.4: Node locations and demands for MD3.
No. x y q No. x y q No. x y q No. x y q
0 40 40 0 20 66 14 22 40 30 50 33 60 64 4 13
1 22 22 18 21 44 13 28 41 12 17 15 61 36 6 15
2 36 26 26 22 26 13 12 42 15 14 11 62 30 20 18
3 21 45 11 23 11 28 6 43 16 19 18 63 20 30 11
4 45 35 30 24 7 43 27 44 21 48 17 64 15 5 28
5 55 20 21 25 17 64 14 45 50 30 21 65 50 70 9
6 33 34 19 26 41 46 18 46 51 42 27 66 57 72 37
7 50 50 15 27 55 34 17 47 50 15 19 67 45 42 30
8 55 45 16 28 35 16 29 48 48 21 20 68 38 33 10
9 26 59 29 29 52 26 13 49 12 38 5 69 50 4 8
10 40 66 26 30 43 26 22 50 15 56 22 70 66 8 11
11 55 65 37 31 31 76 25 51 29 39 12 71 59 5 3
12 35 51 16 32 22 53 28 52 54 38 19 72 35 60 1
13 62 35 12 33 26 29 27 53 55 57 22 73 27 24 6
14 62 57 31 34 50 40 19 54 67 41 16 74 40 20 10
15 62 24 8 35 55 50 10 55 10 70 7 75 40 37 20
16 21 36 19 36 54 10 12 56 6 25 26 76 50 22 0
17 33 44 20 37 60 15 14 57 65 27 14 77 55 55 0
18 9 56 13 38 47 66 24 58 40 60 21 78 25 45 0
19 62 48 15 39 30 60 16 59 70 64 24 79 20 20 0
1087
Table E.5: Node locations and demands for MD4.
No. x y q No. x y q No. x y q No. x y q
0 35 20 0 26 45 30 17 52 27 43 9 78 61 52 3
1 41 49 10 27 35 40 16 53 37 31 14 79 57 48 23
2 35 17 7 28 41 37 16 54 57 29 18 80 56 37 6
3 55 45 13 29 64 42 9 55 63 23 2 81 55 54 26
4 55 20 19 30 40 60 21 56 53 12 6 82 15 47 16
5 15 30 26 31 31 52 27 57 32 12 7 83 14 37 11
6 25 30 3 32 35 69 23 58 36 26 18 84 11 31 7
7 20 50 5 33 53 52 11 59 21 24 28 85 16 22 41
8 10 43 9 34 65 55 14 60 17 34 3 86 4 18 35
9 55 60 16 35 63 65 8 61 12 24 13 87 28 18 26
10 30 60 16 36 2 60 5 62 24 58 19 88 26 52 9
11 20 65 12 37 20 20 8 63 27 69 10 89 26 35 15
12 50 35 19 38 5 5 16 64 15 77 9 90 31 67 3
13 30 25 23 39 60 12 31 65 62 77 20 91 15 19 1
14 15 10 20 40 40 25 9 66 49 73 25 92 22 22 2
15 30 5 8 41 42 7 5 67 67 5 25 93 18 24 22
16 10 20 19 42 24 12 5 68 56 39 36 94 26 27 27
17 5 30 2 43 23 3 7 69 37 47 6 95 25 24 20
18 20 40 12 44 11 14 18 70 37 56 5 96 22 27 11
19 15 60 17 45 6 38 16 71 57 68 15 97 25 21 12
20 45 65 9 46 2 48 1 72 47 16 25 98 19 21 10
21 45 20 11 47 8 56 27 73 44 17 9 99 20 26 9
22 45 10 18 48 13 52 36 74 46 13 8 100 18 18 17
23 55 5 29 49 6 68 30 75 49 11 18 101 35 50 0
24 65 35 3 50 47 47 13 76 49 42 13
25 65 20 6 51 49 58 10 77 53 43 14
Table E.6: Node locations and demands for MD5.
No. x y q No. x y q
0 15 35 0 101 55 35 0
Note: Customer locations and demands are the same as MD4.
1088
Table E.7: Node locations and demands for MD6.
No. x y q No. x y q No. x y q
0 15 20 0 101 50 20 0 102 35 55 0
Note: Customer locations and demands are the same as MD4.
Table E.8: Node locations and demands for MD7.
No. x y q No. x y q No. x y q No. x y q
0 15 35 0 101 55 35 0 102 35 20 0 103 35 50 0
Note: Customer locations and demands are the same as MD4.
1089
Table E.9: Node locations and demands for MD8.
No. x y q No. x y q No. x y q No. x y q
0 -33 33 0 35 37 -90 9 70 -46 -82 15 105 64 20 25
1 -99 -97 6 36 -83 49 74 71 -86 -79 4 106 -96 85 39
2 -59 50 72 37 35 -1 83 72 -43 -30 58 107 93 -29 42
3 0 14 93 38 7 59 96 73 -44 7 73 108 -40 -84 77
4 -17 -66 28 39 12 48 42 74 -3 -20 5 109 86 35 68
5 -69 -19 5 40 57 95 80 75 36 41 12 110 91 36 50
6 31 12 43 41 92 28 22 76 -30 -94 3 111 62 -8 42
7 5 -41 1 42 -3 97 56 77 79 -62 8 112 -24 4 71
8 -12 10 36 43 -7 52 43 78 51 70 31 113 11 96 85
9 -64 70 53 44 42 -15 12 79 -61 -26 48 114 -53 62 78
10 -12 85 63 45 77 -43 73 80 6 94 3 115 -28 -71 64
11 -18 64 25 46 59 -49 32 81 -19 -62 52 116 7 -4 5
12 -77 -16 50 47 25 91 8 82 -20 51 99 117 95 -9 93
13 -53 88 57 48 69 -19 79 83 -81 37 29 118 -3 17 18
14 83 -24 1 49 -82 -14 79 84 7 31 12 119 53 -90 38
15 24 41 66 50 74 -70 4 85 52 12 50 120 58 -19 29
16 17 21 37 51 69 59 14 86 83 -91 98 121 -83 84 81
17 42 96 51 52 29 33 17 87 -7 -92 4 122 -1 49 4
18 -65 0 47 53 -97 9 19 88 82 -74 56 123 -4 17 23
19 -47 -26 88 54 -58 9 44 89 -70 85 24 124 -82 -3 11
20 85 36 75 55 28 93 5 90 -83 -30 33 125 -43 47 86
21 -35 -54 48 56 7 73 37 91 71 -61 45 126 6 -6 2
22 54 -21 40 57 -28 73 100 92 85 11 98 127 70 99 31
23 64 -17 8 58 -76 55 62 93 66 -48 4 128 68 -29 54
24 55 89 69 59 41 42 90 94 78 -87 36 129 -94 -30 87
25 17 -25 93 60 92 40 57 95 9 -79 72 130 -94 -20 17
26 -61 66 29 61 -84 -29 44 96 -36 4 26 131 -21 77 81
27 -61 26 5 62 -12 42 37 97 66 39 71 132 64 37 72
28 17 -72 53 63 51 -45 80 98 92 -17 84 133 -70 -19 10
29 79 38 8 64 -37 46 60 99 -46 -79 21 134 88 65 50
30 -62 -2 24 65 -97 35 95 100 -30 -63 99 135 2 29 25
31 -90 -68 53 66 14 89 56 101 -42 63 33 136 33 57 71
32 52 66 13 67 60 58 56 102 20 42 84 137 -70 6 85
33 -54 -50 47 68 -63 -75 9 103 15 98 74 138 -38 -56 51
34 8 -84 57 69 -18 34 39 104 1 -17 93 139 -80 -95 29
(cont.)
1090
Table E.9 continued.
No. x y q No. x y q No. x y q No. x y q
140 -5 -39 55 168 19 93 40 196 70 -14 90 224 -26 43 99
141 8 -22 45 169 40 27 49 197 0 95 35 225 -11 60 83
142 -61 -76 100 170 -61 56 96 198 -45 7 76 226 40 61 54
143 76 -22 38 171 43 33 58 199 38 -24 3 227 82 35 86
144 49 -71 11 172 -18 -39 15 200 50 -37 11 228 -92 12 2
145 -30 -68 82 173 -69 19 21 201 59 71 98 229 -93 -86 14
146 1 34 50 174 75 -18 56 202 -73 -96 92 230 -66 63 42
147 77 79 39 175 31 85 67 203 -29 72 1 231 -72 -87 14
148 -58 64 6 176 25 58 10 204 -47 12 2 232 -57 -84 55
149 82 -97 87 177 -16 36 36 205 -88 -61 63 233 23 52 2
150 -80 55 83 178 91 15 84 206 -88 36 57 234 -56 -62 18
151 81 -86 22 179 60 -39 59 207 -46 -3 50 235 -19 59 17
152 39 -49 24 180 49 -47 85 208 26 -37 19 236 63 -14 22
153 -67 72 69 181 42 33 60 209 -39 -67 24 237 -13 38 28
154 -25 -89 97 182 16 -81 33 210 92 27 14 238 -19 87 3
155 -44 -95 65 183 -78 53 62 211 -80 -31 18 239 44 -84 96
156 32 -68 97 184 53 -80 70 212 93 -50 77 240 98 -17 53
157 -17 49 79 185 -46 -26 79 213 -20 -5 28 241 -16 62 15
158 93 49 79 186 -25 -54 98 214 -22 73 72 242 3 66 36
159 99 81 46 187 69 -46 99 215 -4 -7 49 243 26 22 98
160 10 -49 52 188 0 -78 18 216 54 -48 58 244 -38 -81 78
161 63 -41 39 189 -84 74 55 217 -70 39 84 245 70 -80 92
162 38 39 94 190 -16 16 75 218 54 -82 58 246 17 -35 65
163 -28 39 97 191 -63 -14 94 219 29 41 41 247 96 -83 64
164 -2 -47 18 192 51 -77 89 220 -87 51 98 248 -77 80 43
165 38 8 3 193 -39 61 13 221 -96 -36 77 249 -14 44 50
166 -42 -6 23 194 5 97 19 222 49 8 57 250 33 -33 0
167 -67 88 19 195 -55 39 19 223 -5 54 39
Table E.10: Node locations and demands for MD9.
No. x y q No. x y q No. x y q
0 70 0 0 250 -50 60 0 251 -50 -60 0
Note: Customer locations and demands are the same as MD8.
1091
Table E.11: Node locations and demands for MD10.
No. x y q No. x y q No. x y q No. x y q
0 75 0 0 250 0 75 0 251 -75 0 0 252 0 -75 0
Note: Customer locations and demands are the same as MD8.
Table E.12: Node locations and demands for MD11.
No. x y q No. x y q No. x y q
0 70 0 0 250 40 80 0 251 40 -80 0
252 -60 20 0 253 -60 -20 0
Note: Customer locations and demands are the same as MD8.
Table E.13: Node locations and demands for MD12?MD14.
No. x y q No. x y q No. x y q No. x y q
0 0 0 0 21 0 30 4 42 100 0 12 63 140 0 4
1 -10 -10 12 22 30 -30 4 43 100 10 12 64 140 30 4
2 -10 0 12 23 30 0 4 44 110 -10 12 65 70 -40 2
3 -10 10 12 24 30 30 4 45 110 10 12 66 70 0 2
4 0 -10 12 25 -40 -40 2 46 120 -10 12 67 70 40 2
5 0 10 12 26 -40 0 2 47 120 0 12 68 110 -40 2
6 10 -10 12 27 -40 40 2 48 120 10 12 69 110 40 2
7 10 0 12 28 0 -40 2 49 90 -20 8 70 150 -40 2
8 10 10 12 29 0 40 2 50 90 0 8 71 150 0 2
9 -20 -20 8 30 40 -40 2 51 90 20 8 72 150 40 2
10 -20 0 8 31 40 0 2 52 110 -20 8 73 60 -50 1
11 -20 20 8 32 40 40 2 53 110 20 8 74 60 0 1
12 0 -20 8 33 -50 -50 1 54 130 -20 8 75 60 50 1
13 0 20 8 34 -50 0 1 55 130 0 8 76 110 -50 1
14 20 -20 8 35 -50 50 1 56 130 20 8 77 110 50 1
15 20 0 8 36 0 -50 1 57 80 -30 4 78 160 -50 1
16 20 20 8 37 0 50 1 58 80 0 4 79 160 0 1
17 -30 -30 4 38 50 -50 1 59 80 30 4 80 160 50 1
18 -30 0 4 39 50 0 1 60 110 -30 4 81 110 0 0
19 -30 30 4 40 50 50 1 61 110 30 4
20 0 -30 4 41 100 -10 12 62 140 -30 4
1092
Table E.14: Node locations and demands for MD15?MD17.
No. x y q No. x y q No. x y q No. x y q
0 0 0 0 35 -50 50 1 70 150 -40 2 105 70 70 2
1 -10 -10 12 36 0 -50 1 71 150 0 2 106 70 110 2
2 -10 0 12 37 0 50 1 72 150 40 2 107 70 150 2
3 -10 10 12 38 50 -50 1 73 60 -50 1 108 110 70 2
4 0 -10 12 39 50 0 1 74 60 0 1 109 110 150 2
5 0 10 12 40 50 50 1 75 60 50 1 110 150 70 2
6 10 -10 12 41 100 -10 12 76 110 -50 1 111 150 110 2
7 10 0 12 42 100 0 12 77 110 50 1 112 150 150 2
8 10 10 12 43 100 10 12 78 160 -50 1 113 60 60 1
9 -20 -20 8 44 110 -10 12 79 160 0 1 114 60 110 1
10 -20 0 8 45 110 10 12 80 160 50 1 115 60 160 1
11 -20 20 8 46 120 -10 12 81 100 100 12 116 110 60 1
12 0 -20 8 47 120 0 12 82 100 110 12 117 110 160 1
13 0 20 8 48 120 10 12 83 100 120 12 118 160 60 1
14 20 -20 8 49 90 -20 8 84 110 100 12 119 160 110 1
15 20 0 8 50 90 0 8 85 110 120 12 120 160 160 1
16 20 20 8 51 90 20 8 86 120 100 12 121 -10 100 12
17 -30 -30 4 52 110 -20 8 87 120 110 12 122 -10 110 12
18 -30 0 4 53 110 20 8 88 120 120 12 123 -10 120 12
19 -30 30 4 54 130 -20 8 89 90 90 8 124 0 100 12
20 0 -30 4 55 130 0 8 90 90 110 8 125 0 120 12
21 0 30 4 56 130 20 8 91 90 130 8 126 10 100 12
22 30 -30 4 57 80 -30 4 92 110 90 8 127 10 110 12
23 30 0 4 58 80 0 4 93 110 130 8 128 10 120 12
24 30 30 4 59 80 30 4 94 130 90 8 129 -20 90 8
25 -40 -40 2 60 110 -30 4 95 130 110 8 130 -20 110 8
26 -40 0 2 61 110 30 4 96 130 130 8 131 -20 130 8
27 -40 40 2 62 140 -30 4 97 80 80 4 132 0 90 8
28 0 -40 2 63 140 0 4 98 80 110 4 133 0 130 8
29 0 40 2 64 140 30 4 99 80 140 4 134 20 90 8
30 40 -40 2 65 70 -40 2 100 110 80 4 135 20 110 8
31 40 0 2 66 70 0 2 101 110 140 4 136 20 130 8
32 40 40 2 67 70 40 2 102 140 80 4 137 -30 80 4
33 -50 -50 1 68 110 -40 2 103 140 110 4 138 -30 110 4
34 -50 0 1 69 110 40 2 104 140 140 4 139 -30 140 4
(cont.)
1093
Table E.14 continued.
No. x y q No. x y q No. x y q No. x y q
140 0 80 4 146 -40 110 2 152 40 150 2 158 50 60 1
141 0 140 4 147 -40 150 2 153 -50 60 1 159 50 110 1
142 30 80 4 148 0 70 2 154 -50 110 1 160 50 160 1
143 30 110 4 149 0 150 2 155 -50 160 1 161 110 0 0
144 30 140 4 150 40 70 2 156 0 60 1 162 110 110 0
145 -40 70 2 151 40 110 2 157 0 160 1 163 0 110 0
1094
Table E.15: Node locations and demands for MD18?MD20.
No. x y q No. x y q No. x y q No. x y q
0 0 0 0 35 -50 50 1 70 150 -40 2 105 70 70 2
1 -10 -10 12 36 0 -50 1 71 150 0 2 106 70 110 2
2 -10 0 12 37 0 50 1 72 150 40 2 107 70 150 2
3 -10 10 12 38 50 -50 1 73 60 -50 1 108 110 70 2
4 0 -10 12 39 50 0 1 74 60 0 1 109 110 150 2
5 0 10 12 40 50 50 1 75 60 50 1 110 150 70 2
6 10 -10 12 41 100 -10 12 76 110 -50 1 111 150 110 2
7 10 0 12 42 100 0 12 77 110 50 1 112 150 150 2
8 10 10 12 43 100 10 12 78 160 -50 1 113 60 60 1
9 -20 -20 8 44 110 -10 12 79 160 0 1 114 60 110 1
10 -20 0 8 45 110 10 12 80 160 50 1 115 60 160 1
11 -20 20 8 46 120 -10 12 81 100 100 12 116 110 60 1
12 0 -20 8 47 120 0 12 82 100 110 12 117 110 160 1
13 0 20 8 48 120 10 12 83 100 120 12 118 160 60 1
14 20 -20 8 49 90 -20 8 84 110 100 12 119 160 110 1
15 20 0 8 50 90 0 8 85 110 120 12 120 160 160 1
16 20 20 8 51 90 20 8 86 120 100 12 121 -10 100 12
17 -30 -30 4 52 110 -20 8 87 120 110 12 122 -10 110 12
18 -30 0 4 53 110 20 8 88 120 120 12 123 -10 120 12
19 -30 30 4 54 130 -20 8 89 90 90 8 124 0 100 12
20 0 -30 4 55 130 0 8 90 90 110 8 125 0 120 12
21 0 30 4 56 130 20 8 91 90 130 8 126 10 100 12
22 30 -30 4 57 80 -30 4 92 110 90 8 127 10 110 12
23 30 0 4 58 80 0 4 93 110 130 8 128 10 120 12
24 30 30 4 59 80 30 4 94 130 90 8 129 -20 90 8
25 -40 -40 2 60 110 -30 4 95 130 110 8 130 -20 110 8
26 -40 0 2 61 110 30 4 96 130 130 8 131 -20 130 8
27 -40 40 2 62 140 -30 4 97 80 80 4 132 0 90 8
28 0 -40 2 63 140 0 4 98 80 110 4 133 0 130 8
29 0 40 2 64 140 30 4 99 80 140 4 134 20 90 8
30 40 -40 2 65 70 -40 2 100 110 80 4 135 20 110 8
31 40 0 2 66 70 0 2 101 110 140 4 136 20 130 8
32 40 40 2 67 70 40 2 102 140 80 4 137 -30 80 4
33 -50 -50 1 68 110 -40 2 103 140 110 4 138 -30 110 4
34 -50 0 1 69 110 40 2 104 140 140 4 139 -30 140 4
(cont.)
1095
Table E.15 continued.
No. x y q No. x y q No. x y q No. x y q
140 0 80 4 167 -100 110 12 194 -160 110 1 221 -110 30 4
141 0 140 4 168 -100 120 12 195 -160 160 1 222 -80 -30 4
142 30 80 4 169 -130 90 8 196 -110 60 1 223 -80 0 4
143 30 110 4 170 -130 110 8 197 -110 160 1 224 -80 30 4
144 30 140 4 171 -130 130 8 198 -60 60 1 225 -150 -40 2
145 -40 70 2 172 -110 90 8 199 -60 110 1 226 -150 0 2
146 -40 110 2 173 -110 130 8 200 -60 160 1 227 -150 40 2
147 -40 150 2 174 -90 90 8 201 -120 -10 12 228 -110 -40 2
148 0 70 2 175 -90 110 8 202 -120 0 12 229 -110 40 2
149 0 150 2 176 -90 130 8 203 -120 10 12 230 -70 -40 2
150 40 70 2 177 -140 80 4 204 -110 -10 12 231 -70 0 2
151 40 110 2 178 -140 110 4 205 -110 10 12 232 -70 40 2
152 40 150 2 179 -140 140 4 206 -100 -10 12 233 -160 -50 1
153 -50 60 1 180 -110 80 4 207 -100 0 12 234 -160 0 1
154 -50 110 1 181 -110 140 4 208 -100 10 12 235 -160 50 1
155 -50 160 1 182 -80 80 4 209 -130 -20 8 236 -110 -50 1
156 0 60 1 183 -80 110 4 210 -130 0 8 237 -110 50 1
157 0 160 1 184 -80 140 4 211 -130 20 8 238 -60 -50 1
158 50 60 1 185 -150 70 2 212 -110 -20 8 239 -60 0 1
159 50 110 1 186 -150 110 2 213 -110 20 8 240 -60 50 1
160 50 160 1 187 -150 150 2 214 -90 -20 8 241 110 0 0
161 -120 100 12 188 -110 70 2 215 -90 0 8 242 110 110 0
162 -120 110 12 189 -110 150 2 216 -90 20 8 243 0 110 0
163 -120 120 12 190 -70 70 2 217 -140 -30 4 244 -110 110 0
164 -110 100 12 191 -70 110 2 218 -140 0 4 245 -110 0 0
165 -110 120 12 192 -70 150 2 219 -140 30 4
166 -100 100 12 193 -160 60 1 220 -110 -30 4
1096
Table E.16: Node locations and demands for MD21?MD23.
No. x y q No. x y q No. x y q No. x y q
0 0 0 0 35 -50 50 1 70 150 -40 2 105 70 70 2
1 -10 -10 12 36 0 -50 1 71 150 0 2 106 70 110 2
2 -10 0 12 37 0 50 1 72 150 40 2 107 70 150 2
3 -10 10 12 38 50 -50 1 73 60 -50 1 108 110 70 2
4 0 -10 12 39 50 0 1 74 60 0 1 109 110 150 2
5 0 10 12 40 50 50 1 75 60 50 1 110 150 70 2
6 10 -10 12 41 100 -10 12 76 110 -50 1 111 150 110 2
7 10 0 12 42 100 0 12 77 110 50 1 112 150 150 2
8 10 10 12 43 100 10 12 78 160 -50 1 113 60 60 1
9 -20 -20 8 44 110 -10 12 79 160 0 1 114 60 110 1
10 -20 0 8 45 110 10 12 80 160 50 1 115 60 160 1
11 -20 20 8 46 120 -10 12 81 100 100 12 116 110 60 1
12 0 -20 8 47 120 0 12 82 100 110 12 117 110 160 1
13 0 20 8 48 120 10 12 83 100 120 12 118 160 60 1
14 20 -20 8 49 90 -20 8 84 110 100 12 119 160 110 1
15 20 0 8 50 90 0 8 85 110 120 12 120 160 160 1
16 20 20 8 51 90 20 8 86 120 100 12 121 -10 100 12
17 -30 -30 4 52 110 -20 8 87 120 110 12 122 -10 110 12
18 -30 0 4 53 110 20 8 88 120 120 12 123 -10 120 12
19 -30 30 4 54 130 -20 8 89 90 90 8 124 0 100 12
20 0 -30 4 55 130 0 8 90 90 110 8 125 0 120 12
21 0 30 4 56 130 20 8 91 90 130 8 126 10 100 12
22 30 -30 4 57 80 -30 4 92 110 90 8 127 10 110 12
23 30 0 4 58 80 0 4 93 110 130 8 128 10 120 12
24 30 30 4 59 80 30 4 94 130 90 8 129 -20 90 8
25 -40 -40 2 60 110 -30 4 95 130 110 8 130 -20 110 8
26 -40 0 2 61 110 30 4 96 130 130 8 131 -20 130 8
27 -40 40 2 62 140 -30 4 97 80 80 4 132 0 90 8
28 0 -40 2 63 140 0 4 98 80 110 4 133 0 130 8
29 0 40 2 64 140 30 4 99 80 140 4 134 20 90 8
30 40 -40 2 65 70 -40 2 100 110 80 4 135 20 110 8
31 40 0 2 66 70 0 2 101 110 140 4 136 20 130 8
32 40 40 2 67 70 40 2 102 140 80 4 137 -30 80 4
33 -50 -50 1 68 110 -40 2 103 140 110 4 138 -30 110 4
34 -50 0 1 69 110 40 2 104 140 140 4 139 -30 140 4
(cont.)
1097
Table E.16 continued.
No. x y q No. x y q No. x y q No. x y q
140 0 80 4 175 -90 110 8 210 -130 0 8 245 -110 -100 12
141 0 140 4 176 -90 130 8 211 -130 20 8 246 -100 -120 12
142 30 80 4 177 -140 80 4 212 -110 -20 8 247 -100 -110 12
143 30 110 4 178 -140 110 4 213 -110 20 8 248 -100 -100 12
144 30 140 4 179 -140 140 4 214 -90 -20 8 249 -130 -130 8
145 -40 70 2 180 -110 80 4 215 -90 0 8 250 -130 -110 8
146 -40 110 2 181 -110 140 4 216 -90 20 8 251 -130 -90 8
147 -40 150 2 182 -80 80 4 217 -140 -30 4 252 -110 -130 8
148 0 70 2 183 -80 110 4 218 -140 0 4 253 -110 -90 8
149 0 150 2 184 -80 140 4 219 -140 30 4 254 -90 -130 8
150 40 70 2 185 -150 70 2 220 -110 -30 4 255 -90 -110 8
151 40 110 2 186 -150 110 2 221 -110 30 4 256 -90 -90 8
152 40 150 2 187 -150 150 2 222 -80 -30 4 257 -140 -140 4
153 -50 60 1 188 -110 70 2 223 -80 0 4 258 -140 -110 4
154 -50 110 1 189 -110 150 2 224 -80 30 4 259 -140 -80 4
155 -50 160 1 190 -70 70 2 225 -150 -40 2 260 -110 -140 4
156 0 60 1 191 -70 110 2 226 -150 0 2 261 -110 -80 4
157 0 160 1 192 -70 150 2 227 -150 40 2 262 -80 -140 4
158 50 60 1 193 -160 60 1 228 -110 -40 2 263 -80 -110 4
159 50 110 1 194 -160 110 1 229 -110 40 2 264 -80 -80 4
160 50 160 1 195 -160 160 1 230 -70 -40 2 265 -150 -150 2
161 -120 100 12 196 -110 60 1 231 -70 0 2 266 -150 -110 2
162 -120 110 12 197 -110 160 1 232 -70 40 2 267 -150 -70 2
163 -120 120 12 198 -60 60 1 233 -160 -50 1 268 -110 -150 2
164 -110 100 12 199 -60 110 1 234 -160 0 1 269 -110 -70 2
165 -110 120 12 200 -60 160 1 235 -160 50 1 270 -70 -150 2
166 -100 100 12 201 -120 -10 12 236 -110 -50 1 271 -70 -110 2
167 -100 110 12 202 -120 0 12 237 -110 50 1 272 -70 -70 2
168 -100 120 12 203 -120 10 12 238 -60 -50 1 273 -160 -160 1
169 -130 90 8 204 -110 -10 12 239 -60 0 1 274 -160 -110 1
170 -130 110 8 205 -110 10 12 240 -60 50 1 275 -160 -60 1
171 -130 130 8 206 -100 -10 12 241 -120 -120 12 276 -110 -160 1
172 -110 90 8 207 -100 0 12 242 -120 -110 12 277 -110 -60 1
173 -110 130 8 208 -100 10 12 243 -120 -100 12 278 -60 -160 1
174 -90 90 8 209 -130 -20 8 244 -110 -120 12 279 -60 -110 1
(cont.)
1098
Table E.16 continued.
No. x y q No. x y q No. x y q No. x y q
280 -60 -60 1 303 30 -110 4 326 120 -120 12 349 110 -70 2
281 -10 -120 12 304 30 -80 4 327 120 -110 12 350 150 -150 2
282 -10 -110 12 305 -40 -150 2 328 120 -100 12 351 150 -110 2
283 -10 -100 12 306 -40 -110 2 329 90 -130 8 352 150 -70 2
284 0 -120 12 307 -40 -70 2 330 90 -110 8 353 60 -160 1
285 0 -100 12 308 0 -150 2 331 90 -90 8 354 60 -110 1
286 10 -120 12 309 0 -70 2 332 110 -130 8 355 60 -60 1
287 10 -110 12 310 40 -150 2 333 110 -90 8 356 110 -160 1
288 10 -100 12 311 40 -110 2 334 130 -130 8 357 110 -60 1
289 -20 -130 8 312 40 -70 2 335 130 -110 8 358 160 -160 1
290 -20 -110 8 313 -50 -160 1 336 130 -90 8 359 160 -110 1
291 -20 -90 8 314 -50 -110 1 337 80 -140 4 360 160 -60 1
292 0 -130 8 315 -50 -60 1 338 80 -110 4 361 110 0 0
293 0 -90 8 316 0 -160 1 339 80 -80 4 362 110 110 0
294 20 -130 8 317 0 -60 1 340 110 -140 4 363 0 110 0
295 20 -110 8 318 50 -160 1 341 110 -80 4 364 -110 110 0
296 20 -90 8 319 50 -110 1 342 140 -140 4 365 -110 0 0
297 -30 -140 4 320 50 -60 1 343 140 -110 4 366 -110 -110 0
298 -30 -110 4 321 100 -120 12 344 140 -80 4 367 0 -110 0
299 -30 -80 4 322 100 -110 12 345 70 -150 2 368 110 -110 0
300 0 -140 4 323 100 -100 12 346 70 -110 2
301 0 -80 4 324 110 -120 12 347 70 -70 2
302 30 -140 4 325 110 -100 12 348 110 -150 2
1099
Table E.17: MDIPH solution to MD1.
No. Route Load Distance
1 0 25 18 4 0 78 47.00
2 0 13 41 40 19 42 0 79 66.55
3 0 17 37 15 33 45 44 0 71 60.06
4 51 47 12 51 54 23.50
5 51 46 11 32 1 27 6 51 73 53.44
6 51 22 28 31 26 8 48 51 80 79.47
7 51 14 24 43 7 23 51 77 81.40
8 52 9 34 30 39 10 52 75 50.41
9 52 49 5 38 52 54 25.22
10 53 21 50 16 2 29 53 69 42.14
11 53 20 3 36 35 53 67 47.67
Total Distance 576.87
Table E.18: MDIPH solution to MD2.
No. Route Load Distance
1 0 42 19 40 41 13 18 47 4 0 154 87.04
2 51 46 27 48 23 7 43 24 25 14 6 51 157 101.91
3 52 10 39 33 45 15 44 37 17 12 5 49 52 158 95.30
4 52 38 11 2 16 50 21 34 30 9 52 153 74.27
5 53 29 32 1 22 8 26 31 28 3 36 35 20 53 155 115.02
Total Distance 473.53
1100
Table E.19: MDIPH solution to MD3.
No. Route Load Distance
1 0 26 12 40 17 51 6 68 0 128 50.89
2 0 75 4 34 46 67 0 126 29.08
3 76 48 21 74 2 30 76 106 41.52
4 76 29 45 27 52 54 13 57 15 76 120 65.57
5 76 5 37 20 70 60 71 69 36 47 76 123 63.78
6 77 14 59 19 8 7 35 77 111 60.49
7 77 38 65 66 11 53 77 129 43.16
8 78 3 49 24 18 50 32 44 78 123 59.34
9 78 25 55 31 10 58 72 39 9 78 139 99.29
10 79 42 64 22 61 28 62 73 79 119 72.13
11 79 43 41 56 23 63 16 33 1 79 140 59.22
Total Distance 644.46
Table E.20: MDIPH solution to MD4.
No. Route Load Distance
1 0 2 41 22 75 74 72 21 0 92 44.81
2 0 57 15 43 14 44 91 100 37 97 0 98 66.93
3 0 42 38 86 16 61 98 92 0 100 81.62
4 0 87 95 94 13 0 96 28.69
5 0 6 89 60 83 45 17 84 5 96 0 94 81.25
6 0 23 67 39 56 73 0 100 73.68
7 0 58 53 28 12 26 40 0 93 48.83
8 0 4 25 55 24 29 68 80 54 0 99 95.22
9 0 85 93 99 59 0 100 41.56
10 101 69 27 76 77 3 79 50 101 98 58.00
11 101 1 33 81 9 51 30 70 101 99 54.15
12 101 11 64 49 36 47 19 101 100 93.52
13 101 10 32 90 63 62 31 101 98 55.51
14 101 52 18 8 46 48 82 7 88 101 97 76.59
15 101 20 66 65 71 35 34 78 101 94 98.85
Total Distance 999.21
1101
Table E.21: MDIPH solution to MD5.
No. Route Load Distance
1 0 93 85 91 100 37 98 59 95 94 96 60 0 188 50.40
2 0 99 92 97 87 42 43 15 57 2 41 22 73 21 40 58 13 6 89 0 194 125.96
3 0 18 52 31 70 30 32 90 63 10 62 88 7 82 0 175 102.28
4 0 5 61 16 44 14 38 86 17 84 0 156 75.92
5 0 83 8 48 19 11 64 49 36 47 46 45 0 173 106.39
6 101 4 72 74 75 56 23 67 39 25 55 54 101 187 91.86
7 101 12 26 53 28 27 69 1 50 76 77 3 68 80 101 193 74.78
8 101 79 33 81 9 51 20 66 65 71 35 34 78 29 24 101 192 124.28
Total Distance 751.89
1102
Table E.22: MDIPH solution to MD6.
No. Route Load Distance
1 0 16 86 38 44 0 88 42.39
2 0 61 84 17 45 46 8 83 60 5 0 88 72.35
3 0 93 59 95 92 37 98 0 90 23.97
4 0 99 96 89 6 94 13 97 0 100 48.18
5 0 85 0 41 4.47
6 0 91 14 43 15 57 2 87 42 100 0 98 67.39
7 101 4 54 80 68 12 101 98 46.49
8 101 25 55 24 29 34 78 79 3 77 76 101 100 94.12
9 101 72 75 41 22 74 73 21 101 94 38.49
10 101 26 28 27 53 58 40 101 90 55.57
11 101 39 67 23 56 101 91 50.53
12 102 70 9 35 71 65 66 20 102 98 83.80
13 102 31 62 63 90 32 10 102 98 51.93
14 102 69 1 50 33 81 51 30 102 97 53.18
15 102 11 64 49 36 47 19 102 100 88.59
16 102 52 18 82 48 7 88 102 87 59.12
Total Distance 880.57
1103
Table E.23: MDIPH solution to MD7.
No. Route Load Distance
1 0 85 100 98 59 60 0 99 37.28
2 0 82 48 47 46 8 83 0 100 52.67
3 0 45 17 86 16 61 84 0 92 53.12
4 0 5 93 99 96 6 89 18 0 98 41.00
5 101 4 39 67 25 55 101 83 67.49
6 101 80 68 79 3 77 101 92 27.97
7 101 24 29 78 34 35 81 33 50 76 101 100 81.55
8 101 54 26 53 28 12 101 84 47.86
9 102 42 15 43 14 38 44 91 37 92 97 102 97 90.27
10 102 13 94 95 87 102 96 28.69
11 102 2 57 41 22 23 56 75 74 102 98 63.48
12 102 58 40 21 72 73 102 72 34.40
13 103 1 30 32 90 63 10 103 83 57.04
14 103 7 19 36 49 64 11 62 103 97 95.52
15 103 31 88 52 27 69 103 67 37.96
16 103 51 9 71 65 66 20 70 103 100 81.90
Total Distance 898.20
1104
Table E.24: MDIPH solution to MD8.
No. Route Load Distance
1 0 112 213 215 126 116 3 118 123 8 190 163 0 497 144.77
2 0 135 84 16 52 162 59 75 219 15 102 0 478 161.77
3 0 146 39 233 136 226 176 38 223 43 225 0 490 175.69
4 0 175 47 55 17 24 40 127 147 201 78 32 122 0 496 288.07
5 0 183 36 220 65 206 83 217 0 499 143.78
6 0 27 173 228 53 124 49 12 133 191 30 18 137 54 0 491 191.66
7 0 79 33 31 205 221 129 130 61 90 211 5 204 0 494 277.97
8 0 96 166 72 185 19 207 198 73 0 473 133.14
9 0 242 56 66 168 103 113 80 194 197 42 11 241 235 0 498 182.03
10 0 69 177 237 62 249 157 82 224 0 467 60.06
11 0 114 148 26 9 153 230 170 2 195 0 464 111.31
12 0 58 150 189 106 121 248 89 167 13 101 0 496 193.72
13 0 214 131 10 238 57 203 193 125 64 0 479 132.10
14 250 7 21 138 234 71 229 1 139 202 231 68 142 209 145 250 492 308.03
15 250 115 244 108 70 99 232 155 76 154 87 188 250 497 238.86
16 250 37 6 243 169 181 171 85 222 250 498 150.89
17 250 246 140 172 186 100 81 4 160 208 250 483 153.82
18 250 25 141 104 74 164 95 34 182 28 250 469 166.69
19 250 245 94 151 86 149 247 88 50 250 459 185.69
20 250 110 60 158 159 134 51 67 97 132 165 250 498 287.28
21 250 92 178 210 41 109 20 227 29 105 44 199 250 495 191.32
22 250 111 236 196 174 143 48 23 120 22 250 404 109.88
23 250 200 128 14 98 117 240 107 212 77 91 46 250 500 189.46
24 250 180 63 216 93 187 45 161 179 250 497 97.89
25 250 152 144 192 184 218 119 239 35 156 250 492 139.09
Total Distance 4414.99
1105
Table E.25: MDIPH solution to MD9.
No. Route Load Distance
1 0 236 120 22 200 63 180 216 46 161 179 23 0 463 117.72
2 0 111 48 143 174 196 0 305 56.49
3 0 44 199 208 246 25 141 104 74 215 126 116 37 0 474 190.11
4 0 152 144 192 184 218 239 35 119 245 50 77 0 499 232.31
5 0 105 171 181 59 75 162 169 85 222 0 495 122.41
6 0 29 134 159 147 127 40 24 17 55 47 175 78 32 0 498 288.84
7 0 227 20 109 41 210 178 92 0 447 89.65
8 0 110 60 158 51 201 67 97 132 0 497 169.75
9 0 117 240 98 107 45 187 128 0 498 129.06
10 0 14 212 247 86 149 94 151 88 91 93 0 490 214.73
11 0 165 6 243 52 219 15 102 233 176 136 226 0 489 181.62
12 250 13 167 89 248 121 106 189 153 9 26 148 250 475 129.81
13 250 2 183 36 220 150 58 230 250 493 84.71
14 250 157 249 62 177 69 163 64 125 250 484 96.91
15 250 190 8 123 118 3 16 84 135 146 237 224 250 496 179.60
16 250 82 43 223 122 39 38 242 225 241 235 193 250 487 142.78
17 250 114 203 57 131 214 101 250 365 74.11
18 250 195 27 54 18 30 207 166 213 112 96 73 198 204 250 488 196.10
19 250 173 137 124 53 228 65 206 83 217 170 250 499 180.05
20 250 11 56 66 168 103 113 80 194 197 42 10 238 250 496 174.49
21 251 211 90 61 221 129 130 49 12 133 5 33 251 467 149.14
22 251 72 185 19 191 79 251 367 104.71
23 251 209 87 188 34 95 182 28 156 160 7 164 140 172 251 499 223.80
24 251 100 145 4 81 186 21 138 251 458 79.10
25 251 115 154 76 155 108 244 70 99 251 420 109.74
26 251 68 142 232 231 202 139 1 229 71 31 205 234 251 457 161.31
Total Distance 3879.06
1106
Table E.26: MDIPH solution to MD10.
No. Route Load Distance
1 0 92 178 210 41 110 109 20 227 0 497 88.55
2 0 29 60 158 159 134 51 67 97 132 105 0 478 203.95
3 0 85 171 181 162 169 6 37 165 222 0 497 147.95
4 0 196 48 174 143 14 98 240 117 0 494 85.33
5 0 111 236 23 120 22 200 179 161 93 187 45 128 0 480 131.84
6 0 44 199 208 152 180 63 216 46 91 77 212 107 0 485 202.45
7 250 193 101 148 9 153 189 106 121 248 89 167 13 238 250 495 210.14
8 250 131 57 26 230 170 114 203 214 250 499 142.49
9 250 10 42 197 194 80 113 103 168 66 250 431 85.24
10 250 176 136 226 59 75 219 102 39 38 250 500 126.08
11 250 122 146 84 135 123 118 3 16 243 52 15 233 56 250 482 164.91
12 250 225 157 249 69 177 237 62 43 223 242 250 470 96.21
13 250 241 235 82 224 163 64 125 11 250 498 116.20
14 250 47 55 17 24 40 127 147 201 32 78 175 250 492 193.48
15 251 173 217 183 150 58 2 195 27 54 18 251 499 145.31
16 251 124 130 129 221 31 205 211 90 61 49 251 482 151.00
17 251 30 207 166 213 8 190 112 96 73 198 204 251 484 152.23
18 251 12 133 5 79 72 185 19 191 251 432 98.25
19 251 228 53 65 206 220 36 83 137 251 459 134.07
20 252 81 186 21 138 100 145 115 252 494 94.15
21 252 244 108 155 76 154 87 34 182 95 252 486 135.81
22 252 188 99 70 232 231 202 139 1 229 71 68 142 234 33 209 4 252 494 252.69
23 252 164 140 172 74 104 215 116 126 141 25 246 7 160 252 498 189.96
24 252 119 245 94 151 86 149 247 88 50 252 497 219.62
25 252 28 156 144 192 184 218 239 35 252 483 121.56
Total Distance 3689.47
1107
Table E.27: MDIPH solution to MD11.
No. Route Load Distance
1 0 111 236 23 120 22 44 199 200 63 179 161 128 48 0 478 136.87
2 0 92 178 210 41 110 109 20 227 0 497 93.59
3 0 196 174 143 14 107 98 240 117 0 457 96.14
4 0 105 169 243 16 6 37 165 222 85 0 445 147.17
5 250 67 51 97 132 29 60 158 134 159 147 250 492 194.37
6 250 78 32 201 127 40 24 250 322 95.09
7 250 226 59 75 162 171 181 52 219 136 250 497 116.30
8 250 242 225 241 235 11 203 57 214 131 238 10 250 496 164.38
9 250 175 66 80 197 42 194 113 103 168 47 55 17 250 499 112.21
10 250 56 38 223 43 122 39 102 15 233 176 250 423 141.43
11 251 35 87 154 76 155 108 244 209 81 4 188 182 251 488 209.38
12 251 34 95 28 160 164 7 141 25 246 208 152 251 499 190.05
13 251 119 245 94 151 86 149 247 88 50 251 497 142.21
14 251 156 192 184 218 239 251 410 57.14
15 251 144 91 77 212 45 187 93 46 216 180 251 492 144.48
16 252 163 224 82 157 249 62 237 252 489 118.40
17 252 69 177 146 84 135 3 118 123 8 190 73 204 252 482 165.03
18 252 27 230 9 153 13 167 89 248 121 106 189 252 487 198.03
19 252 217 58 183 150 220 36 83 252 492 95.93
20 252 195 2 170 26 148 114 101 193 64 125 252 492 124.44
21 252 173 206 65 228 53 124 137 18 30 54 252 405 141.48
22 252 207 166 172 140 74 104 126 116 215 213 112 96 198 252 498 202.87
23 253 33 138 21 100 145 115 186 253 489 136.25
24 253 234 99 70 232 142 68 231 202 139 1 229 71 31 205 253 493 228.57
25 253 72 185 19 191 253 319 52.43
26 253 79 211 90 61 221 129 130 49 12 133 5 253 468 97.00
Total Distance 3601.26
1108
Table E.28: MDIPH solution to MD12.
No. Route Load Distance
1 0 2 10 18 26 34 33 25 17 9 1 0 54 170.71
2 0 3 11 19 27 35 37 29 21 13 5 0 54 170.71
3 0 4 12 20 28 36 22 14 6 0 51 128.48
4 0 7 15 23 31 39 67 75 40 32 24 16 8 0 57 189.57
5 81 42 50 58 66 74 30 38 73 65 57 49 41 81 57 189.57
6 81 44 52 60 68 76 78 70 62 54 46 81 54 170.71
7 81 45 53 61 69 77 59 51 43 81 51 128.48
8 81 47 55 63 71 79 80 72 64 56 48 81 54 170.71
Total Distance 1318.95
Table E.29: MDIPH solution to MD13.
No. Route Load Distance
1 0 6 14 22 30 38 73 65 39 31 23 15 7 0 57 189.57
2 0 5 13 21 29 37 24 16 8 0 51 128.48
3 0 2 10 18 26 34 35 27 19 11 3 0 54 170.71
4 0 1 9 17 25 33 36 28 20 12 4 0 54 170.71
5 81 47 55 63 71 79 78 70 62 54 46 81 54 170.71
6 81 42 50 58 66 74 32 40 75 67 59 51 43 81 57 189.57
7 81 41 49 57 76 68 60 52 44 81 51 128.48
8 81 45 53 61 69 77 80 72 64 56 48 81 54 170.71
Total Distance 1318.95
Table E.30: MDIPH solution to MD14.
No. Route Load Distance
1 0 1 9 17 25 33 36 28 20 12 4 0 54 170.71
2 0 3 11 19 27 35 34 26 18 10 2 0 54 170.71
3 0 6 14 22 30 38 73 31 23 15 7 0 54 174.56
4 0 5 13 21 29 37 40 32 24 16 8 0 54 170.71
5 81 41 49 57 65 39 74 66 58 50 42 81 54 161.29
6 81 45 53 61 69 77 75 67 59 51 43 81 54 170.71
7 81 46 54 62 70 78 76 68 60 52 44 81 54 170.71
8 81 47 55 63 71 79 80 72 64 56 48 81 54 170.71
Total Distance 1360.12
1109
Table E.31: MDIPH solution to MD15.
No. Route Load Distance
1 0 2 10 18 26 34 33 25 17 9 1 0 54 170.71
2 0 3 11 19 27 35 153 145 137 129 148 156 37 29 21 13 0 60 221.42
3 0 4 12 20 28 36 30 22 14 6 0 53 147.80
4 0 7 8 5 0 36 40.00
5 161 50 58 66 74 39 31 23 15 16 24 32 40 75 67 59 51 161 60 233.14
6 161 48 45 43 42 161 48 54.14
7 161 47 55 63 71 79 78 70 62 54 46 161 54 170.71
8 161 41 49 57 65 38 73 76 68 60 52 44 161 55 188.93
9 161 56 64 72 80 118 110 102 94 92 100 108 116 77 69 61 53 161 60 233.14
10 162 82 81 84 86 162 48 54.14
11 162 83 91 99 107 160 115 117 109 101 93 85 162 55 188.93
12 162 87 95 103 111 119 120 112 104 96 88 162 54 170.71
13 163 124 121 140 132 126 127 163 60 86.50
14 163 122 130 138 146 154 155 147 139 131 123 163 54 170.71
15 163 125 133 141 149 157 152 144 136 128 163 53 147.80
16 163 135 143 151 159 114 106 98 90 89 97 105 113 158 150 142 134 163 60 233.14
Total Distance 2511.92
1110
Table E.32: MDIPH solution to MD16.
No. Route Load Distance
1 0 1 9 17 25 33 34 26 18 10 2 0 54 170.71
2 0 4 12 20 28 36 22 14 6 0 51 128.48
3 0 7 15 23 31 59 67 75 40 32 24 16 8 0 60 198.99
4 0 3 11 19 27 35 153 145 156 37 29 21 13 5 0 58 196.08
5 161 41 49 57 65 73 38 30 39 74 66 58 50 42 161 58 196.08
6 161 47 55 63 71 79 64 56 48 161 51 128.48
7 161 43 51 69 61 53 45 161 46 96.57
8 161 44 52 60 68 76 78 70 62 54 46 161 54 170.71
9 162 82 90 98 106 142 150 158 113 105 97 89 81 162 60 198.99
10 162 83 91 99 117 109 101 93 85 162 51 128.48
11 162 87 95 103 111 119 120 112 104 96 88 162 54 170.71
12 162 86 94 102 110 118 80 72 77 116 108 100 92 84 162 58 196.08
13 163 121 129 137 154 146 138 130 122 163 51 128.48
14 163 125 133 141 149 157 155 147 139 131 123 163 54 170.71
15 163 127 135 143 151 159 114 107 115 160 152 144 136 128 163 58 196.08
16 163 126 134 148 140 132 124 163 46 96.57
Total Distance 2572.23
1111
Table E.33: MDIPH solution to MD17.
No. Route Load Distance
1 0 2 10 18 26 34 33 25 17 9 1 0 54 170.71
2 0 3 11 19 27 35 153 29 21 13 5 0 54 174.56
3 0 6 14 22 30 38 36 28 20 12 4 0 54 170.71
4 0 7 15 23 31 75 40 32 24 16 8 0 54 174.56
5 161 44 52 60 68 76 73 65 57 49 41 161 54 170.71
6 161 48 56 64 72 80 118 69 61 53 45 161 54 174.56
7 161 46 54 62 70 78 79 71 63 55 47 161 54 170.71
8 161 43 51 59 67 39 74 66 58 50 42 161 54 161.29
9 162 85 93 101 109 117 115 107 99 91 83 162 54 170.71
10 162 88 96 104 112 120 119 111 103 95 87 162 54 170.71
11 162 86 94 102 110 77 116 108 100 92 84 162 54 161.29
12 162 81 89 97 105 113 158 106 98 90 82 162 54 174.56
13 163 124 132 140 148 156 37 145 137 129 121 163 54 161.29
14 163 123 131 139 147 155 154 146 138 130 122 163 54 170.71
15 163 125 133 141 149 157 160 152 144 136 128 163 54 170.71
16 163 127 135 143 151 159 114 150 142 134 126 163 54 161.29
Total Distance 2709.09
1112
Table E.34: MDIPH solution to MD18.
No. Route Load Distance
1 0 1 9 17 25 33 238 230 222 214 231 239 34 26 18 10 0 60 221.42
2 0 4 12 20 28 36 30 22 14 6 0 53 147.80
3 0 7 8 5 3 2 0 60 60.00
4 0 15 23 31 39 74 66 58 50 51 59 67 75 40 32 24 16 0 60 233.14
5 0 13 21 29 37 156 148 140 129 137 145 153 198 190 232 240 35 27 19 58 293.7811 0
6 241 41 49 57 65 38 73 76 68 60 52 44 241 55 188.93
7 241 56 64 72 80 118 110 102 94 92 100 108 116 77 69 61 53 241 60 233.14
8 241 42 43 45 48 241 48 54.14
9 241 47 55 63 71 79 78 70 62 54 46 241 54 170.71
10 242 82 81 84 86 242 48 54.14
11 242 83 91 99 107 160 115 117 109 101 93 85 242 55 188.93
12 242 88 96 104 112 120 119 111 103 95 87 242 54 170.71
13 242 89 97 105 113 158 150 142 134 135 143 151 159 114 106 98 90 242 60 233.14
14 243 124 121 132 126 127 243 56 68.28
15 243 125 133 141 149 157 152 144 136 128 243 53 147.80
16 243 122 130 138 146 154 199 191 192 200 155 147 139 131 123 243 60 204.85
17 244 164 166 174 182 183 175 167 244 60 108.28
18 244 162 170 178 186 194 195 187 179 171 163 244 54 170.71
19 244 165 173 181 189 197 184 176 168 244 51 128.48
20 244 161 169 177 185 193 235 227 219 211 229 237 196 188 180 172 244 60 221.42
21 245 212 220 228 236 209 217 225 233 234 226 218 210 202 245 57 228.48
22 245 201 204 206 223 215 207 245 60 86.50
23 245 205 203 213 221 224 216 208 245 60 116.57
Total Distance 3731.37
1113
Table E.35: MDIPH solution to MD19.
No. Route Load Distance
1 0 4 12 20 28 36 22 14 6 0 51 128.48
2 0 1 9 17 25 33 238 230 239 34 26 18 10 2 0 58 196.08
3 0 3 11 19 27 35 153 145 137 29 21 13 5 0 60 198.99
4 0 7 15 23 31 24 16 8 0 50 114.05
5 241 41 49 57 65 73 38 30 39 74 66 58 50 42 241 58 196.08
6 241 44 52 60 68 76 78 70 62 54 46 241 54 170.71
7 241 45 53 61 69 97 105 113 75 67 59 51 43 241 60 198.99
8 241 47 55 63 71 79 64 56 48 241 51 128.48
9 242 81 89 106 98 90 82 242 46 96.57
10 242 84 92 100 108 116 77 72 80 118 110 102 94 86 242 58 196.08
11 242 85 93 101 109 117 99 91 83 242 51 128.48
12 242 88 96 104 112 120 119 111 103 95 87 242 54 170.71
13 243 124 132 140 148 156 37 32 40 158 150 142 134 126 243 58 196.08
14 243 121 129 146 138 130 122 243 46 96.57
15 243 128 136 144 152 160 115 107 114 159 151 143 135 127 243 58 196.08
16 243 125 133 141 149 157 139 131 123 243 51 128.48
17 244 167 175 183 191 199 154 147 155 200 192 184 176 168 244 58 196.08
18 244 162 170 178 186 194 177 169 161 244 51 128.48
19 244 163 171 179 187 195 197 189 181 173 165 244 54 170.71
20 244 164 172 180 188 224 232 240 198 190 182 174 166 244 60 198.99
21 245 202 210 218 226 234 233 225 217 209 201 245 54 170.71
22 245 203 211 219 227 235 193 185 196 237 229 221 213 205 245 58 196.08
23 245 204 212 220 228 236 222 214 206 245 51 128.48
24 245 207 215 223 231 216 208 245 46 96.57
Total Distance 3827.06
1114
Table E.36: MDIPH solution to MD20.
No. Route Load Distance
1 0 8 16 24 32 74 39 31 23 15 7 0 54 161.29
2 0 6 14 22 30 38 36 28 20 12 4 0 54 170.71
3 0 3 11 19 27 35 153 29 21 13 5 0 54 174.56
4 0 1 9 17 25 239 34 26 18 10 2 0 54 161.29
5 241 42 50 58 66 40 75 67 59 51 43 241 54 174.56
6 241 41 49 57 65 73 76 68 60 52 44 241 54 170.71
7 241 48 56 64 72 80 118 69 61 53 45 241 54 174.56
8 241 46 54 62 70 78 79 71 63 55 47 241 54 170.71
9 242 81 89 97 105 159 114 106 98 90 82 242 54 161.29
10 242 85 93 101 109 117 115 107 99 91 83 242 54 170.71
11 242 84 92 100 108 116 77 110 102 94 86 242 54 161.29
12 242 87 95 103 111 119 120 112 104 96 88 242 54 170.71
13 243 122 130 138 146 154 155 147 139 131 123 243 54 170.71
14 243 121 129 137 145 37 156 148 140 132 124 243 54 161.29
15 243 125 133 141 149 157 160 152 144 136 128 243 54 170.71
16 243 127 135 143 151 113 158 150 142 134 126 243 54 174.56
17 244 165 173 181 189 197 195 187 179 171 163 244 54 170.71
18 244 162 170 178 186 194 193 185 177 169 161 244 54 170.71
19 244 166 174 182 190 198 240 188 180 172 164 244 54 174.56
20 244 167 175 183 191 199 200 192 184 176 168 244 54 170.71
21 245 207 215 223 231 33 238 230 222 214 206 245 54 174.56
22 245 201 209 217 225 233 236 228 220 212 204 245 54 170.71
23 245 202 210 218 226 234 235 227 219 211 203 245 54 170.71
24 245 205 213 221 229 237 196 232 224 216 208 245 54 161.29
Total Distance 4063.64
1115
Table E.37: MDIPH solution to MD21.
No. Route Load Distance
1 0 4 1 2 3 5 0 60 60.00
2 0 6 14 22 30 38 320 312 304 296 309 317 36 28 20 12 0 60 221.42
3 0 13 21 29 37 156 148 140 132 129 137 145 153 35 27 19 11 0 60 233.14
4 0 7 15 23 31 39 74 66 67 75 40 32 24 16 8 0 60 204.85
5 0 9 17 25 33 238 230 222 214 215 223 231 239 34 26 18 10 0 60 233.14
6 361 42 41 44 361 36 40.00
7 361 46 54 62 70 79 71 63 55 47 361 53 147.80
8 361 50 58 59 51 43 45 48 361 60 122.43
9 362 82 81 84 86 362 48 54.14
10 362 87 95 103 111 119 120 112 104 96 88 362 54 170.71
11 362 85 93 101 109 117 115 160 107 99 91 83 362 55 188.93
12 362 94 102 110 118 80 72 64 56 53 61 69 77 116 108 100 92 362 60 233.14
13 363 122 121 124 126 127 363 60 60.00
14 363 125 133 141 149 157 152 144 136 128 363 53 147.80
15 363 123 131 139 147 155 200 192 184 176 191 199 154 146 138 130 363 60 221.42
16 363 134 142 150 158 113 105 97 89 90 98 106 114 159 151 143 135 363 60 233.14
17 364 165 173 181 189 197 195 187 179 171 163 364 54 170.71
18 364 174 182 190 198 240 232 224 216 213 221 229 237 196 188 180 172 364 60 233.14
19 364 167 168 175 183 166 164 364 60 86.50
20 364 162 170 178 186 194 193 235 185 177 169 161 364 55 188.93
21 365 202 210 218 226 234 227 219 211 203 365 53 147.80
22 365 212 220 228 236 277 269 261 259 267 275 233 225 217 209 201 365 56 218.99
23 365 205 208 207 206 204 365 60 60.00
24 366 241 249 257 265 273 276 268 260 252 244 366 54 170.71
25 366 243 251 274 266 258 250 242 366 47 114.34
26 366 245 253 248 366 32 48.28
27 366 247 255 263 271 297 305 313 278 270 262 254 246 366 60 198.99
28 367 283 291 299 307 315 280 272 264 256 279 314 306 298 290 367 58 219.19
29 367 286 287 288 301 293 285 367 60 86.50
30 367 282 281 289 316 308 300 292 284 367 59 120.20
(cont.)
1116
Table E.37 continued.
No. Route Load Distance
31 368 333 341 349 357 76 68 60 52 49 57 65 73 355 347 339 331 368 60 233.14
32 368 329 337 345 353 318 310 302 294 295 303 311 319 354 346 338 330 368 60 233.14
33 368 324 332 340 348 356 358 350 342 334 326 368 54 170.71
34 368 321 322 323 325 368 48 54.14
35 368 328 336 344 352 78 360 359 351 343 335 327 368 55 188.93
Total Distance 5516.40
1117
Table E.38: MDIPH solution to MD22.
No. Route Load Distance
1 0 7 15 23 31 59 67 75 40 32 24 16 8 0 60 198.99
2 0 6 14 22 36 28 20 12 4 0 51 128.48
3 0 1 9 17 25 33 238 230 222 26 18 10 2 0 60 198.99
4 0 5 13 21 29 37 19 11 3 0 51 128.48
5 361 45 53 61 69 51 43 361 46 96.57
6 361 46 54 62 70 78 360 352 357 76 68 60 52 44 361 58 196.08
7 361 47 55 63 71 79 64 56 48 361 51 128.48
8 361 42 50 58 66 74 39 30 38 73 65 57 49 41 361 58 196.08
9 362 84 92 100 108 116 77 72 80 118 110 102 94 86 362 58 196.08
10 362 81 89 97 105 113 158 150 114 106 98 90 82 362 57 189.57
11 362 83 91 99 117 109 101 93 85 362 51 128.48
12 362 88 96 104 112 120 119 111 103 95 87 362 54 170.71
13 363 125 133 141 149 157 139 131 123 363 51 128.48
14 363 121 129 137 145 153 198 190 182 146 138 130 122 363 60 198.99
15 363 126 134 142 156 148 140 132 124 363 51 128.48
16 363 127 135 143 151 159 107 115 160 152 144 136 128 363 57 189.57
17 364 161 169 177 194 186 178 170 162 364 51 128.48
18 364 167 175 183 191 199 154 147 155 200 192 184 176 168 364 58 196.08
19 364 166 174 188 180 172 164 364 46 96.57
20 364 163 171 179 187 195 197 189 181 173 165 364 54 170.71
21 365 207 215 223 231 239 34 27 35 240 232 224 216 208 365 58 196.08
22 365 205 213 221 229 237 196 185 193 235 227 219 211 203 365 58 196.08
23 365 206 214 228 220 212 204 365 46 96.57
24 365 202 210 218 226 234 217 209 201 365 51 128.48
25 366 241 249 257 265 273 274 266 258 250 242 366 54 170.71
26 366 243 251 259 267 275 233 225 236 277 269 261 253 245 366 58 196.08
27 366 244 252 260 268 276 262 254 246 366 51 128.48
28 366 247 255 263 271 279 307 315 280 272 264 256 248 366 57 189.57
29 367 283 291 299 317 309 301 293 285 367 51 128.48
30 367 282 290 298 306 314 270 278 313 305 297 289 281 367 57 189.57
(cont.)
1118
Table E.38 continued.
No. Route Load Distance
31 367 287 295 303 311 319 347 355 320 312 304 296 288 367 57 189.57
32 367 286 294 302 316 308 300 292 284 367 51 128.48
33 368 321 329 337 345 353 318 310 354 346 338 330 322 368 57 189.57
34 368 323 331 339 349 341 333 325 368 50 114.05
35 368 324 332 340 348 356 358 350 342 334 326 368 54 170.71
36 368 328 336 344 359 351 343 335 327 368 51 128.48
Total Distance 5735.40
1119
Table E.39: MDIPH solution to MD23.
No. Route Load Distance
1 0 1 9 17 25 33 238 26 18 10 2 0 54 174.56
2 0 3 11 19 27 35 37 29 21 13 5 0 54 170.71
3 0 4 12 20 28 320 38 30 22 14 6 0 54 174.56
4 0 7 15 23 31 39 40 32 24 16 8 0 54 170.71
5 361 47 55 63 71 79 80 72 64 56 48 361 54 170.71
6 361 46 54 62 70 357 76 68 60 52 44 361 54 161.29
7 361 42 50 58 66 74 73 65 57 49 41 361 54 170.71
8 361 45 53 61 69 77 75 67 59 51 43 361 54 170.71
9 362 84 92 100 108 116 113 105 97 89 81 362 54 170.71
10 362 88 96 104 112 120 117 109 101 93 85 362 54 170.71
11 362 86 94 102 110 118 119 111 103 95 87 362 54 170.71
12 362 83 91 99 107 115 160 106 98 90 82 362 54 174.56
13 363 123 131 139 147 155 157 149 141 133 125 363 54 170.71
14 363 124 132 140 148 156 158 150 142 134 126 363 54 170.71
15 363 127 135 143 151 159 114 152 144 136 128 363 54 161.29
16 363 122 130 138 146 154 199 145 137 129 121 363 54 161.29
17 364 161 169 177 185 193 196 188 180 172 164 364 54 170.71
18 364 162 170 178 186 194 195 187 179 171 163 364 54 170.71
19 364 166 174 182 190 198 153 191 183 175 167 364 54 174.56
20 364 165 173 181 189 197 200 192 184 176 168 364 54 170.71
21 365 205 213 221 229 237 240 232 224 216 208 365 54 170.71
22 365 201 209 217 225 277 236 228 220 212 204 365 54 161.29
23 365 203 211 219 227 235 234 226 218 210 202 365 54 170.71
24 365 206 214 222 230 34 239 231 223 215 207 365 54 161.29
25 366 243 251 259 267 275 233 269 261 253 245 366 54 174.56
26 366 242 250 258 266 274 273 265 257 249 241 366 54 170.71
27 366 247 255 263 271 279 280 272 264 256 248 366 54 170.71
28 366 246 254 262 270 278 276 268 260 252 244 366 54 170.71
29 367 282 290 298 306 314 315 307 299 291 283 367 54 170.71
30 367 281 289 297 305 313 316 308 300 292 284 367 54 170.71
(cont.)
1120
Table E.39 continued.
No. Route Load Distance
31 367 286 294 302 310 318 319 311 303 295 287 367 54 170.71
32 367 288 296 304 312 36 317 309 301 293 285 367 54 161.29
33 368 323 331 339 347 355 354 346 338 330 322 368 54 170.71
34 368 326 334 342 350 358 359 351 343 335 327 368 54 170.71
35 368 328 336 344 352 360 78 349 341 333 325 368 54 174.56
36 368 321 329 337 345 353 356 348 340 332 324 368 54 170.71
Total Distance 6112.17
1121
Table E.40: Best MDIPH solution to MD1.
No. Route Load Distance
1 0 25 18 4 0 78 47.00
2 0 44 45 33 15 37 17 0 71 60.06
3 0 13 41 40 19 42 0 79 66.55
4 51 6 27 1 32 11 46 51 73 53.44
5 51 22 28 31 26 8 48 51 80 79.47
6 51 23 7 43 24 14 51 77 81.40
7 51 47 12 51 54 23.50
8 52 49 5 38 52 54 25.22
9 52 10 39 30 34 9 52 75 50.41
10 53 20 3 36 35 53 67 47.67
11 53 29 2 16 50 21 53 69 42.14
Total Distance 576.87
Table E.41: Best MDIPH solution to MD2.
No. Route Load Distance
1 0 4 47 18 13 41 40 19 42 0 154 87.04
2 51 46 27 48 23 7 43 24 25 14 6 51 157 101.91
3 52 10 39 33 45 15 44 37 17 12 5 49 52 158 95.30
4 52 9 30 34 21 50 16 2 11 38 52 153 74.27
5 53 20 35 36 3 28 31 26 8 22 1 32 29 53 155 115.02
Total Distance 473.53
1122
Table E.42: Best MDIPH solution to MD3.
No. Route Load Distance
1 0 26 12 40 17 51 6 68 0 128 50.89
2 0 75 4 34 46 67 0 126 29.08
3 76 48 21 74 2 30 76 106 41.52
4 76 29 45 27 52 54 13 57 15 76 120 65.57
5 76 5 37 20 70 60 71 69 36 47 76 123 63.78
6 77 14 59 19 8 7 35 77 111 60.49
7 77 38 65 66 11 53 77 129 43.16
8 78 3 49 24 18 50 32 44 78 123 59.34
9 78 25 55 31 10 58 72 39 9 78 139 99.29
10 79 42 64 22 61 28 62 73 79 119 72.13
11 79 43 41 56 23 63 16 33 1 79 140 59.22
Total Distance 644.46
Table E.43: Best MDIPH solution to MD4.
No. Route Load Distance
1 0 2 41 22 75 74 72 21 0 92 44.81
2 0 57 15 43 14 44 91 100 37 97 0 98 66.93
3 0 42 38 86 16 61 98 92 0 100 81.62
4 0 87 95 94 13 0 96 28.69
5 0 6 89 60 83 45 17 84 5 96 0 94 81.25
6 0 23 67 39 56 73 0 100 73.68
7 0 58 53 28 12 26 40 0 93 48.83
8 0 4 25 55 24 29 68 80 54 0 99 95.22
9 0 85 93 99 59 0 100 41.56
10 101 69 27 76 77 3 79 50 101 98 58.00
11 101 1 33 81 9 51 30 70 101 99 54.15
12 101 11 64 49 36 47 19 101 100 93.52
13 101 10 32 90 63 62 31 101 98 55.51
14 101 52 18 8 46 48 82 7 88 101 97 76.59
15 101 20 66 65 71 35 34 78 101 94 98.85
Total Distance 999.21
1123
Table E.44: Best MDIPH solution to MD5.
No. Route Load Distance
1 0 89 27 69 1 70 30 32 90 63 64 49 36 47 46 45 0 197 138.91
2 0 60 6 94 13 95 97 92 37 100 98 93 59 99 96 0 195 60.16
3 0 83 8 82 48 19 11 62 10 31 88 7 52 18 0 198 94.91
4 0 5 61 85 91 16 44 14 38 86 17 84 0 198 84.18
5 101 80 68 79 3 77 101 92 27.97
6 101 24 29 78 34 35 71 65 66 20 51 9 81 33 50 76 101 195 127.89
7 101 12 28 53 58 2 57 87 42 43 15 41 22 73 21 40 26 101 196 124.14
8 101 4 72 74 75 56 23 67 39 25 55 54 101 187 91.86
Total Distance 750.03
1124
Table E.45: Best MDIPH solution to MD6.
No. Route Load Distance
1 0 99 96 6 94 13 95 92 0 95 37.91
2 0 37 97 87 2 57 15 43 42 14 0 100 70.08
3 0 100 98 59 93 0 77 18.37
4 0 91 44 38 86 16 0 89 42.58
5 0 61 84 17 45 8 83 60 5 0 87 58.55
6 0 85 0 41 4.47
7 101 26 12 28 53 58 40 101 93 55.08
8 101 21 73 74 22 41 75 72 101 94 38.49
9 101 39 67 23 56 101 91 50.53
10 101 4 25 55 24 29 68 80 54 101 99 67.85
11 102 88 7 82 46 36 49 64 11 63 90 102 100 106.54
12 102 48 47 19 62 102 99 57.29
13 102 10 32 66 20 30 70 102 99 55.18
14 102 31 52 18 89 27 69 1 102 95 60.81
15 102 76 77 3 79 81 33 102 100 57.06
16 102 50 78 34 35 65 71 9 51 102 99 95.71
Total Distance 876.50
1125
Table E.46: Best MDIPH solution to MD7.
No. Route Load Distance
1 0 5 61 16 86 17 0 95 45.73
2 0 18 7 19 64 49 36 46 45 0 95 99.18
3 0 82 48 47 8 83 0 99 46.39
4 0 84 85 98 37 93 99 60 0 100 38.61
5 101 54 4 21 40 26 12 101 93 51.76
6 101 80 33 81 9 35 34 78 29 24 101 96 78.50
7 101 55 25 39 67 23 56 101 99 79.73
8 101 68 79 3 77 76 101 99 32.96
9 102 2 41 22 75 74 72 73 102 90 42.99
10 102 42 100 91 44 38 14 43 15 57 102 99 87.38
11 102 58 53 89 6 94 13 102 100 42.69
12 102 95 96 59 92 97 87 102 99 35.10
13 103 70 10 32 90 63 11 62 88 103 97 65.30
14 103 69 1 50 28 27 52 31 103 97 55.64
15 103 30 20 66 65 71 51 103 100 80.02
Total Distance 881.97
1126
Table E.47: Best MDIPH solution to MD8.
No. Route Load Distance
1 0 112 213 215 126 116 3 118 123 8 190 163 0 497 144.77
2 0 135 84 16 52 162 59 75 219 15 102 0 478 161.77
3 0 146 39 233 136 226 176 38 223 43 225 0 490 175.69
4 0 175 47 55 17 24 40 127 147 201 78 32 122 0 496 288.07
5 0 183 36 220 65 206 83 217 0 499 143.78
6 0 27 173 228 53 124 49 12 133 191 30 18 137 54 0 491 191.66
7 0 79 33 31 205 221 129 130 61 90 211 5 204 0 494 277.97
8 0 96 166 72 185 19 207 198 73 0 473 133.14
9 0 242 56 66 168 103 113 80 194 197 42 11 241 235 0 498 182.03
10 0 69 177 237 62 249 157 82 224 0 467 60.06
11 0 114 148 26 9 153 230 170 2 195 0 464 111.31
12 0 58 150 189 106 121 248 89 167 13 101 0 496 193.72
13 0 214 131 10 238 57 203 193 125 64 0 479 132.10
14 250 7 21 138 234 71 229 1 139 202 231 68 142 209 145 250 492 308.03
15 250 115 244 108 70 99 232 155 76 154 87 188 250 497 238.86
16 250 37 6 243 169 181 171 85 222 250 498 150.89
17 250 246 140 172 186 100 81 4 160 208 250 483 153.82
18 250 25 141 104 74 164 95 34 182 28 250 469 166.69
19 250 245 94 151 86 149 247 88 50 250 459 185.69
20 250 110 60 158 159 134 51 67 97 132 165 250 498 287.28
21 250 92 178 210 41 109 20 227 29 105 44 199 250 495 191.32
22 250 111 236 196 174 143 48 23 120 22 250 404 109.88
23 250 200 128 14 98 117 240 107 212 77 91 46 250 500 189.46
24 250 180 63 216 93 187 45 161 179 250 497 97.89
25 250 152 144 192 184 218 119 239 35 156 250 492 139.09
Total Distance 4414.99
1127
Table E.48: Best MDIPH solution to MD9.
No. Route Load Distance
1 0 152 144 192 184 218 239 35 119 245 50 77 0 499 232.31
2 0 23 93 91 88 151 94 149 86 247 212 14 0 498 215.66
3 0 236 179 161 46 216 180 63 200 22 120 111 0 497 118.45
4 0 37 116 126 215 74 104 141 25 246 208 199 44 0 474 190.11
5 0 174 143 48 196 0 263 49.52
6 0 128 187 45 107 98 240 117 0 498 129.06
7 0 29 134 159 147 127 40 24 17 55 47 175 78 32 0 498 288.84
8 0 132 97 67 201 51 158 60 110 0 497 169.75
9 0 105 59 226 136 176 233 102 15 219 169 0 492 171.91
10 0 92 178 210 41 109 20 227 0 447 89.65
11 0 85 171 181 162 75 52 243 6 165 222 0 492 130.27
12 250 13 167 89 248 121 106 189 153 9 26 148 250 475 129.81
13 250 2 183 36 220 150 58 230 250 493 84.71
14 250 82 43 223 122 39 38 242 225 241 235 193 250 487 142.78
15 250 157 249 62 177 69 163 64 125 250 484 96.91
16 250 190 8 123 118 3 16 84 135 146 237 224 250 496 179.60
17 250 114 203 57 131 214 101 250 365 74.11
18 250 195 27 54 18 30 207 166 213 112 96 73 198 204 250 488 196.10
19 250 173 137 124 53 228 65 206 83 217 170 250 499 180.05
20 250 11 56 66 168 103 113 80 194 197 42 10 238 250 496 174.49
21 251 33 5 133 12 49 130 129 221 61 90 211 251 467 149.14
22 251 68 142 232 231 202 139 1 229 71 31 205 234 251 457 161.31
23 251 72 185 19 191 79 251 367 104.71
24 251 172 140 164 7 160 156 28 182 95 34 188 87 209 251 499 223.80
25 251 99 70 244 108 155 76 154 115 251 420 109.74
26 251 100 145 4 81 186 21 138 251 458 79.10
Total Distance 3871.91
1128
Table E.49: Best MDIPH solution to MD10.
No. Route Load Distance
1 0 37 165 6 16 243 52 181 171 169 85 0 498 160.52
2 0 111 236 23 120 22 200 63 216 180 152 208 199 44 222 0 490 175.88
3 0 46 50 245 94 151 86 149 247 88 77 14 0 500 225.70
4 0 196 48 174 143 98 240 117 0 493 83.41
5 0 29 60 158 159 134 51 67 97 132 105 0 478 203.95
6 0 227 20 109 110 41 210 178 92 0 497 88.55
7 0 128 179 161 187 93 91 45 212 107 0 492 163.16
8 250 10 131 57 214 250 316 63.82
9 250 203 148 26 9 153 189 106 121 248 89 167 13 238 250 479 208.43
10 250 11 193 101 125 64 163 224 225 250 496 125.17
11 250 39 102 15 219 75 162 59 233 56 250 468 117.01
12 250 66 175 17 55 47 168 103 113 80 194 197 42 250 499 127.68
13 250 241 235 82 157 249 43 223 38 242 250 474 86.36
14 250 122 146 84 135 3 118 123 8 190 69 177 237 62 250 476 155.24
15 250 176 136 226 32 78 201 147 127 40 24 250 496 189.11
16 251 211 205 31 71 229 1 139 202 231 68 142 234 33 5 133 251 482 238.45
17 251 228 53 65 206 220 150 183 217 251 500 143.06
18 251 173 27 195 2 170 114 230 58 36 83 251 498 157.62
19 251 18 30 19 185 72 79 191 251 438 96.95
20 251 137 54 204 198 73 96 112 213 166 207 251 478 124.54
21 251 12 61 90 221 129 130 49 124 251 398 94.98
22 252 115 244 108 70 99 232 155 76 154 87 188 252 497 142.48
23 252 35 239 119 218 184 192 144 156 252 468 130.21
24 252 164 140 172 74 104 215 116 126 141 25 246 7 160 252 498 189.96
25 252 95 34 182 28 252 215 49.81
26 252 145 100 209 138 21 186 81 4 252 482 104.01
Total Distance 3646.06
1129
Table E.50: Best MDIPH solution to MD11.
No. Route Load Distance
1 0 37 165 6 16 243 52 181 171 169 0 448 150.73
2 0 222 85 105 132 97 29 227 20 0 444 121.17
3 0 117 240 98 107 14 143 174 196 0 457 96.14
4 0 48 128 161 179 63 200 199 44 22 120 23 236 111 0 478 136.87
5 0 92 178 210 41 110 60 158 109 0 472 114.23
6 250 201 67 51 134 159 147 127 40 24 250 483 163.16
7 250 10 238 131 214 57 203 11 235 241 225 242 250 496 164.38
8 250 56 38 122 223 43 62 237 146 135 84 39 136 250 484 174.73
9 250 175 66 80 197 42 194 113 103 168 47 55 17 250 499 112.21
10 250 176 233 102 15 219 75 162 59 226 32 78 250 497 117.60
11 251 35 182 34 87 188 95 28 156 251 343 124.12
12 251 50 88 247 149 86 151 94 245 119 251 497 142.21
13 251 144 91 77 212 45 187 93 46 216 180 251 492 144.48
14 251 152 208 246 25 141 104 74 140 164 7 160 251 470 180.46
15 251 192 184 218 239 251 313 33.10
16 252 173 206 65 228 53 124 137 18 30 54 252 405 141.48
17 252 83 36 220 150 183 58 217 252 492 95.93
18 252 195 2 170 26 148 114 101 193 64 125 252 492 124.44
19 252 27 230 9 153 13 167 89 248 121 106 189 252 487 198.03
20 252 69 177 249 157 82 224 163 252 499 116.47
21 252 204 96 112 213 215 126 116 3 118 123 8 190 252 428 165.70
22 253 5 133 12 49 130 129 221 61 90 211 79 253 468 97.00
23 253 205 31 71 229 1 139 202 231 232 142 68 33 253 486 209.94
24 253 19 185 166 207 73 198 191 253 483 86.28
25 253 72 172 186 81 4 115 145 100 253 496 150.44
26 253 21 138 209 244 108 154 76 155 70 99 234 253 497 189.48
Total Distance 3550.78
1130
Table E.51: Best MDIPH solution to MD12.
No. Route Load Distance
1 0 2 10 18 26 34 33 25 17 9 1 0 54 170.71
2 0 3 11 19 27 35 37 29 21 13 5 0 54 170.71
3 0 4 12 20 28 36 22 14 6 0 51 128.48
4 0 7 15 23 31 39 67 75 40 32 24 16 8 0 57 189.57
5 81 42 50 58 66 74 30 38 73 65 57 49 41 81 57 189.57
6 81 44 52 60 68 76 78 70 62 54 46 81 54 170.71
7 81 45 53 61 69 77 59 51 43 81 51 128.48
8 81 47 55 63 71 79 80 72 64 56 48 81 54 170.71
Total Distance 1318.95
Table E.52: Best MDIPH solution to MD13.
No. Route Load Distance
1 0 7 15 23 31 39 67 75 40 32 24 16 8 0 57 189.57
2 0 5 13 21 29 37 35 27 19 11 3 0 54 170.71
3 0 4 12 20 28 36 22 14 6 0 51 128.48
4 0 2 10 18 26 34 33 25 17 9 1 0 54 170.71
5 81 47 55 63 71 79 80 72 64 56 48 81 54 170.71
6 81 45 53 61 69 77 59 51 43 81 51 128.48
7 81 44 52 60 68 76 78 70 62 54 46 81 54 170.71
8 81 42 50 58 66 74 30 38 73 65 57 49 41 81 57 189.57
Total Distance 1318.95
Table E.53: Best MDIPH solution to MD14.
No. Route Load Distance
1 0 4 12 20 28 36 38 30 22 14 6 0 54 170.71
2 0 1 9 17 25 33 34 26 18 10 2 0 54 170.71
3 0 3 11 19 27 35 37 29 21 13 5 0 54 170.71
4 0 7 15 23 31 75 40 32 24 16 8 0 54 174.56
5 81 44 52 60 68 76 73 65 57 49 41 81 54 170.71
6 81 46 54 62 70 78 79 71 63 55 47 81 54 170.71
7 81 42 50 58 66 74 39 67 59 51 43 81 54 161.29
8 81 45 53 61 69 77 80 72 64 56 48 81 54 170.71
Total Distance 1360.12
1131
Table E.54: Best MDIPH solution to MD15.
No. Route Load Distance
1 0 1 9 17 25 33 34 26 18 10 2 0 54 170.71
2 0 7 8 5 3 0 48 54.14
3 0 4 12 20 28 36 38 73 30 22 14 6 0 55 188.93
4 161 50 58 66 74 39 31 23 15 16 24 32 40 75 67 59 51 161 60 233.14
5 161 48 45 43 42 161 48 54.14
6 161 47 55 63 71 79 78 70 62 54 46 161 54 170.71
7 161 41 49 57 65 76 68 60 52 44 161 53 147.80
8 161 56 64 72 80 118 110 102 94 92 100 108 116 77 69 61 53 161 60 233.14
9 162 82 81 84 86 162 48 54.14
10 162 85 93 101 109 117 115 160 107 99 91 83 162 55 188.93
11 162 87 95 103 111 119 120 112 104 96 88 162 54 170.71
12 163 129 137 145 153 35 27 19 11 13 21 29 37 156 148 140 132 163 60 233.14
13 163 123 131 139 147 155 154 146 138 130 122 163 54 170.71
14 163 127 126 124 121 163 48 54.14
15 163 135 143 151 159 114 106 98 90 89 97 105 113 158 150 142 134 163 60 233.14
16 163 125 133 141 149 157 152 144 136 128 163 53 147.80
Total Distance 2505.42
1132
Table E.55: Best MDIPH solution to MD16.
No. Route Load Distance
1 0 5 13 21 29 37 156 145 153 35 27 19 11 3 0 58 196.08
2 0 2 10 18 26 34 33 25 17 9 1 0 54 170.71
3 0 6 14 22 36 28 20 12 4 0 51 128.48
4 0 7 15 23 31 59 67 75 40 32 24 16 8 0 60 198.99
5 161 41 49 57 65 73 38 30 39 74 66 58 50 42 161 58 196.08
6 161 46 54 62 70 78 76 68 60 52 44 161 54 170.71
7 161 43 51 69 61 53 45 161 46 96.57
8 161 47 55 63 71 79 64 56 48 161 51 128.48
9 162 84 92 100 108 116 77 72 80 118 110 102 94 86 162 58 196.08
10 162 88 96 104 112 120 119 111 103 95 87 162 54 170.71
11 162 82 90 98 106 142 150 158 113 105 97 89 81 162 60 198.99
12 162 85 93 101 109 117 99 91 83 162 51 128.48
13 163 122 130 138 146 154 137 129 121 163 51 128.48
14 163 124 132 140 148 134 126 163 46 96.57
15 163 123 131 139 147 155 157 149 141 133 125 163 54 170.71
16 163 127 135 143 151 159 114 107 115 160 152 144 136 128 163 58 196.08
Total Distance 2572.23
1133
Table E.56: Best MDIPH solution to MD17.
No. Route Load Distance
1 0 1 9 17 25 33 36 28 20 12 4 0 54 170.71
2 0 2 10 18 26 34 35 27 19 11 3 0 54 170.71
3 0 8 16 24 32 40 158 29 21 13 5 0 54 174.56
4 0 7 15 23 31 73 38 30 22 14 6 0 54 174.56
5 161 43 51 59 67 75 113 69 61 53 45 161 54 174.56
6 161 41 49 57 65 39 74 66 58 50 42 161 54 161.29
7 161 44 52 60 68 76 78 70 62 54 46 161 54 170.71
8 161 47 55 63 71 79 80 72 64 56 48 161 54 170.71
9 162 82 90 98 106 160 115 107 99 91 83 162 54 174.56
10 162 86 94 102 110 118 119 111 103 95 87 162 54 170.71
11 162 85 93 101 109 117 120 112 104 96 88 162 54 170.71
12 162 84 92 100 108 116 77 105 97 89 81 162 54 161.29
13 163 121 129 137 145 153 154 146 138 130 122 163 54 170.71
14 163 124 132 140 148 156 37 150 142 134 126 163 54 161.29
15 163 125 133 141 149 157 155 147 139 131 123 163 54 170.71
16 163 127 135 143 151 159 114 152 144 136 128 163 54 161.29
Total Distance 2709.09
1134
Table E.57: Best MDIPH solution to MD18.
No. Route Load Distance
1 0 1 9 17 25 33 238 230 222 214 231 239 34 26 18 10 0 60 221.42
2 0 6 14 22 30 36 28 20 12 4 0 53 147.80
3 0 7 8 5 3 2 0 60 60.00
4 0 13 21 29 37 156 148 140 132 129 137 145 153 35 27 19 11 0 60 233.14
5 0 15 23 31 39 74 66 58 50 51 59 67 75 40 32 24 16 0 60 233.14
6 241 41 49 57 65 38 73 76 68 60 52 44 241 55 188.93
7 241 53 61 69 77 116 108 100 92 94 102 110 118 80 72 64 56 241 60 233.14
8 241 42 43 45 48 241 48 54.14
9 241 47 55 63 71 79 78 70 62 54 46 241 54 170.71
10 242 89 97 105 113 158 150 142 134 135 143 151 159 114 106 98 90 242 60 233.14
11 242 86 84 81 82 242 48 54.14
12 242 87 95 103 111 119 120 112 104 96 88 242 54 170.71
13 242 83 91 99 107 117 109 101 93 85 242 53 147.80
14 243 127 126 124 121 122 243 60 60.00
15 243 125 133 141 149 157 160 115 152 144 136 128 243 55 188.93
16 243 130 138 146 154 199 191 176 184 192 200 155 147 139 131 123 243 60 221.42
17 244 163 171 179 187 195 197 189 181 173 165 244 54 170.71
18 244 164 166 183 175 167 168 244 60 86.50
19 244 172 180 188 196 237 229 221 213 216 224 232 240 198 190 182 174 244 60 233.14
20 244 162 170 178 186 194 193 235 185 177 169 161 244 55 188.93
21 245 206 207 215 223 208 205 245 60 86.50
22 245 203 211 219 227 234 226 218 210 202 245 53 147.80
23 245 201 209 217 225 233 236 228 220 212 204 245 54 170.71
Total Distance 3702.85
1135
Table E.58: Best MDIPH solution to MD19.
No. Route Load Distance
1 0 1 9 17 36 28 20 12 4 0 51 128.48
2 0 6 14 22 30 38 73 65 74 39 31 23 15 7 0 58 196.08
3 0 2 10 18 26 19 11 3 0 50 114.05
4 0 5 13 21 29 16 8 0 46 96.57
5 241 41 49 57 76 68 60 52 44 241 51 128.48
6 241 42 50 58 66 24 32 40 75 67 59 51 43 241 60 198.99
7 241 46 54 62 70 78 79 71 63 55 47 241 54 170.71
8 241 45 53 61 69 77 116 110 118 80 72 64 56 48 241 58 196.08
9 242 81 89 108 100 92 84 242 46 96.57
10 242 82 90 98 106 114 159 152 160 115 107 99 91 83 242 58 196.08
11 242 88 96 104 112 120 117 109 101 93 85 242 54 170.71
12 242 86 94 102 119 111 103 95 87 242 51 128.48
13 243 124 132 140 148 156 37 27 35 153 145 137 129 121 243 58 196.08
14 243 122 130 138 146 154 199 192 200 155 147 139 131 123 243 58 196.08
15 243 125 133 141 149 157 144 136 128 243 51 128.48
16 243 127 135 143 151 97 105 113 158 150 142 134 126 243 60 198.99
17 244 164 172 180 188 196 237 227 235 193 185 177 169 161 244 58 196.08
18 244 163 171 179 187 195 194 186 178 170 162 244 54 170.71
19 244 168 176 184 197 189 181 173 165 244 51 128.48
20 244 166 174 191 183 175 167 244 46 96.57
21 245 207 215 223 231 239 34 25 33 238 230 222 214 206 245 58 196.08
22 245 203 211 219 234 226 218 210 202 245 51 128.48
23 245 204 212 220 228 236 233 225 217 209 201 245 54 170.71
24 245 205 213 221 229 182 190 198 240 232 224 216 208 245 60 198.99
Total Distance 3827.06
1136
Table E.59: Best MDIPH solution to MD20.
No. Route Load Distance
1 0 8 16 24 32 74 39 31 23 15 7 0 54 161.29
2 0 6 14 22 30 38 36 28 20 12 4 0 54 170.71
3 0 3 11 19 27 35 153 29 21 13 5 0 54 174.56
4 0 1 9 17 25 239 34 26 18 10 2 0 54 161.29
5 241 42 50 58 66 40 75 67 59 51 43 241 54 174.56
6 241 41 49 57 65 73 76 68 60 52 44 241 54 170.71
7 241 48 56 64 72 80 118 69 61 53 45 241 54 174.56
8 241 46 54 62 70 78 79 71 63 55 47 241 54 170.71
9 242 81 89 97 105 159 114 106 98 90 82 242 54 161.29
10 242 85 93 101 109 117 115 107 99 91 83 242 54 170.71
11 242 84 92 100 108 116 77 110 102 94 86 242 54 161.29
12 242 87 95 103 111 119 120 112 104 96 88 242 54 170.71
13 243 122 130 138 146 200 155 147 139 131 123 243 54 174.56
14 243 121 129 137 145 37 156 148 140 132 124 243 54 161.29
15 243 126 134 142 150 158 113 151 143 135 127 243 54 174.56
16 243 128 136 144 152 160 157 149 141 133 125 243 54 170.71
17 244 162 170 178 186 194 193 185 177 169 161 244 54 170.71
18 244 163 171 179 187 195 197 189 181 173 165 244 54 170.71
19 244 167 175 183 191 199 154 192 184 176 168 244 54 161.29
20 244 164 172 180 188 240 198 190 182 174 166 244 54 174.56
21 245 207 215 223 231 33 238 230 222 214 206 245 54 174.56
22 245 201 209 217 225 233 236 228 220 212 204 245 54 170.71
23 245 202 210 218 226 234 235 227 219 211 203 245 54 170.71
24 245 205 213 221 229 237 196 232 224 216 208 245 54 161.29
Total Distance 4058.07
1137
Table E.60: Best MDIPH solution to MD21.
No. Route Load Distance
1 0 3 5 8 7 0 48 54.14
2 0 11 19 27 35 153 145 137 129 132 140 148 156 37 29 21 13 0 60 233.14
3 0 2 1 4 6 0 48 54.14
4 361 49 57 65 73 355 347 339 331 333 341 349 357 76 68 60 52 361 60 233.14
5 361 45 43 42 41 44 361 60 60.00
6 361 53 61 69 77 116 108 94 102 110 118 80 72 64 56 48 361 60 221.42
7 361 46 54 62 70 360 78 79 71 63 55 47 361 55 188.93
8 361 50 58 66 74 39 31 23 15 16 24 32 40 75 67 59 51 361 60 233.14
9 362 82 81 100 92 84 86 362 60 86.50
10 362 87 95 103 111 119 120 112 104 96 88 362 54 170.71
11 362 85 93 101 109 117 115 160 107 99 91 83 362 55 188.93
12 363 134 142 150 158 113 105 97 89 90 98 106 114 159 151 143 135 363 60 233.14
13 363 123 131 139 147 155 200 192 184 176 191 199 154 146 138 130 363 60 221.42
14 363 128 136 144 152 157 149 141 133 125 363 53 147.80
15 363 127 126 124 121 122 363 60 60.00
16 364 161 169 177 185 235 193 194 186 178 170 162 364 55 188.93
17 364 163 171 179 187 195 197 189 181 173 165 364 54 170.71
18 364 167 168 175 183 166 164 364 60 86.50
19 365 216 224 232 240 198 190 182 174 172 180 188 196 237 229 221 213 365 60 233.14
20 365 203 211 219 227 234 226 218 210 202 365 53 147.80
21 365 201 209 217 225 233 275 267 259 251 269 277 236 228 220 212 365 60 221.42
22 365 204 206 207 208 205 365 60 60.00
23 365 214 222 230 238 33 25 17 9 10 18 26 34 239 231 223 215 365 60 233.14
24 366 241 249 257 265 273 274 266 258 250 242 366 54 170.71
25 366 244 252 260 268 276 278 313 270 262 254 246 366 55 188.93
26 366 245 243 253 261 248 247 366 60 86.50
27 367 286 294 302 310 318 353 345 337 329 346 354 319 311 303 295 367 60 221.42
28 367 296 304 312 320 38 30 22 14 12 20 28 36 317 309 301 293 367 60 233.14
29 367 282 283 285 288 287 367 60 60.00
30 367 281 289 297 305 316 308 300 292 284 367 53 147.80
(cont.)
1138
Table E.60 continued.
No. Route Load Distance
31 367 290 298 306 314 279 271 263 255 256 264 272 280 315 307 299 291 367 60 233.14
32 368 325 323 330 338 321 322 368 368 60 86.50
33 368 328 336 344 352 359 351 343 335 327 368 53 147.80
34 368 326 334 342 350 358 356 348 340 332 324 368 54 170.71
Total Distance 5474.84
1139
Table E.61: Best MDIPH solution to MD22.
No. Route Load Distance
1 0 5 13 21 29 37 156 145 153 35 27 19 11 3 0 58 196.08
2 0 6 14 22 30 38 320 312 317 36 28 20 12 4 0 58 196.08
3 0 2 10 18 26 17 9 1 0 50 114.05
4 0 7 15 23 31 39 74 67 75 40 32 24 16 8 0 58 196.08
5 361 46 54 62 79 71 63 55 47 361 51 128.48
6 361 44 52 60 68 339 347 355 73 65 57 49 41 361 60 198.99
7 361 48 56 64 72 80 118 110 116 77 69 61 53 45 361 58 196.08
8 361 42 50 58 66 59 51 43 361 50 114.05
9 362 81 89 108 100 92 84 362 46 96.57
10 362 86 94 102 119 111 103 95 87 362 51 128.48
11 362 82 90 98 106 114 159 152 160 115 107 99 91 83 362 58 196.08
12 362 85 93 101 109 117 120 112 104 96 88 362 54 170.71
13 363 124 132 140 148 137 129 121 363 50 114.05
14 363 128 136 144 157 149 141 133 125 363 51 128.48
15 363 126 134 142 150 158 113 105 97 151 143 135 127 363 60 198.99
16 363 122 130 138 146 154 199 192 200 155 147 139 131 123 363 58 196.08
17 364 161 169 177 185 193 235 227 237 196 188 180 172 164 364 58 196.08
18 364 168 176 184 197 189 181 173 165 364 51 128.48
19 364 162 170 178 186 194 195 187 179 171 163 364 54 170.71
20 364 167 175 183 191 174 166 364 46 96.57
21 365 201 209 217 225 233 275 267 277 236 228 220 212 204 365 58 196.08
22 365 203 211 219 234 226 218 210 202 365 51 128.48
23 365 205 213 221 229 182 190 198 240 232 224 216 208 365 60 198.99
24 365 206 214 222 230 238 33 25 34 239 231 223 215 207 365 58 196.08
25 366 248 256 269 261 253 245 366 46 96.57
26 366 244 252 260 268 276 273 265 257 249 241 366 54 170.71
27 366 246 254 262 270 278 313 305 314 279 271 263 255 247 366 58 196.08
28 366 242 250 258 266 274 259 251 243 366 51 128.48
29 367 281 289 297 316 308 300 292 284 367 51 128.48
30 367 282 290 298 306 264 272 280 315 307 299 291 283 367 60 198.99
(cont.)
1140
Table E.61 continued.
No. Route Load Distance
31 367 285 293 301 309 304 296 288 367 50 114.05
32 367 286 294 302 310 318 353 345 354 319 311 303 295 287 367 58 196.08
33 368 328 336 344 352 360 78 70 76 357 349 341 333 325 368 58 196.08
34 368 326 334 342 350 358 359 351 343 335 327 368 54 170.71
35 368 321 329 337 356 348 340 332 324 368 51 128.48
36 368 323 331 346 338 330 322 368 46 96.57
Total Distance 5702.16
1141
Table E.62: Best MDIPH solution to MD23.
No. Route Load Distance
1 0 2 10 18 26 238 33 25 17 9 1 0 54 174.56
2 0 4 12 20 28 320 38 30 22 14 6 0 54 174.56
3 0 3 11 19 27 35 37 29 21 13 5 0 54 170.71
4 0 7 15 23 31 39 40 32 24 16 8 0 54 170.71
5 361 41 49 57 65 73 74 66 58 50 42 361 54 170.71
6 361 44 52 60 68 76 357 70 62 54 46 361 54 161.29
7 361 43 51 59 67 75 113 69 61 53 45 361 54 174.56
8 361 48 56 64 72 80 79 71 63 55 47 361 54 170.71
9 362 85 93 101 109 117 120 112 104 96 88 362 54 170.71
10 362 83 91 99 107 115 160 106 98 90 82 362 54 174.56
11 362 87 95 103 111 119 118 110 102 94 86 362 54 170.71
12 362 84 92 100 108 116 77 105 97 89 81 362 54 161.29
13 363 123 131 139 147 155 157 149 141 133 125 363 54 170.71
14 363 124 132 140 148 156 158 150 142 134 126 363 54 170.71
15 363 127 135 143 151 159 114 152 144 136 128 363 54 161.29
16 363 122 130 138 146 154 199 145 137 129 121 363 54 161.29
17 364 161 169 177 185 193 196 188 180 172 164 364 54 170.71
18 364 162 170 178 186 194 195 187 179 171 163 364 54 170.71
19 364 166 174 182 190 198 153 191 183 175 167 364 54 174.56
20 364 165 173 181 189 197 200 192 184 176 168 364 54 170.71
21 365 205 213 221 229 237 240 232 224 216 208 365 54 170.71
22 365 203 211 219 227 235 234 226 218 210 202 365 54 170.71
23 365 204 212 220 228 236 277 225 217 209 201 365 54 161.29
24 365 207 215 223 231 239 34 230 222 214 206 365 54 161.29
25 366 243 251 259 267 275 233 269 261 253 245 366 54 174.56
26 366 242 250 258 266 274 273 265 257 249 241 366 54 170.71
27 366 247 255 263 271 315 280 272 264 256 248 366 54 174.56
28 366 246 254 262 270 278 276 268 260 252 244 366 54 170.71
29 367 288 296 304 312 36 317 309 301 293 285 367 54 161.29
30 367 287 295 303 311 319 318 310 302 294 286 367 54 170.71
(cont.)
1142
Table E.62 continued.
No. Route Load Distance
31 367 284 292 300 308 316 313 305 297 289 281 367 54 170.71
32 367 283 291 299 307 279 314 306 298 290 282 367 54 161.29
33 368 323 331 339 347 355 354 346 338 330 322 368 54 170.71
34 368 326 334 342 350 358 359 351 343 335 327 368 54 170.71
35 368 328 336 344 352 360 78 349 341 333 325 368 54 174.56
36 368 321 329 337 345 353 356 348 340 332 324 368 54 170.71
Total Distance 6101.03
1143
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