Scheduling in Supply Chains Using Mixed Integer Programming

Contents......Page 8
List of Figures......Page 14
List of Tables......Page 20
Preface......Page 24
Acknowledgments......Page 26
Introduction......Page 28
Part One Short-Term Scheduling in Supply Chains......Page 37
1.1 INTRODUCTION......Page 39
1.2.1 Scheduling Flow Shops with Infinit In-Process Buffers......Page 40
1.2.2 Scheduling Flow Shops with Finite In-Process Buffers......Page 44
1.2.3 Alternative Objective Functions......Page 47
1.2.5 Reentrant Flow Shops......Page 48
1.2.6 Scheduling Modes......Page 49
1.2.7 Computational Examples......Page 52
1.3.1 A Fast Heuristic for Scheduling Flow Shops with Finite In-Process Buffers......Page 55
1.3.2 A Fast Heuristic for Scheduling Flow Shops with No In-Process Buffers......Page 60
1.3.3 Computational Examples......Page 61
1.4 SCHEDULING FLOW SHOPS WITH LIMITED MACHINE AVAILABILITY......Page 66
1.5 COMPUTATIONAL EXAMPLES......Page 68
1.5.1 Scheduling with Continuous Machine Availability......Page 69
1.5.2 Scheduling with Limited Machine Availability......Page 70
1.6 COMMENTS......Page 73
EXERCISES......Page 76
2.1 INTRODUCTION......Page 77
2.2 SMT LINE CONFIGURATIONS......Page 78
2.2.1 SMT Lines for Single-Sided Boards......Page 79
2.2.2 SMT Lines for Double-Sided Boards......Page 80
2.3 GENERAL SCHEDULING OF SMT LINES......Page 81
2.3.1 Special Cases......Page 86
2.4 BATCH SCHEDULING OF SMT LINES......Page 87
2.5 AN IMPROVEMENT HEURISTIC FOR SCHEDULING SMT LINES......Page 90
2.5.1 Sequencing......Page 91
2.5.2 Assignment and Timing......Page 92
2.5.3 Special Cases......Page 93
2.6 COMPUTATIONAL EXAMPLES......Page 96
2.7 COMMENTS......Page 105
EXERCISES......Page 106
3.1 INTRODUCTION......Page 107
3.2 BALANCING AND SCHEDULING OF FLEXIBLE ASSEMBLY LINES WITH INFINITE IN-PROCESS BUFFERS......Page 108
3.2.1 Simultaneous Balancing and Scheduling......Page 109
3.2.2 Sequential Balancing and Scheduling......Page 113
3.2.3 Computational Examples......Page 116
3.3 BALANCING AND SCHEDULING OF SMT LINES......Page 119
3.3.1 Simultaneous Balancing and Scheduling of an SMT Line......Page 121
3.3.2 Sequential Balancing and Scheduling of an SMT Line......Page 127
3.3.3 Computational Examples......Page 128
EXERCISES......Page 133
4.1 INTRODUCTION......Page 135
4.2 LOADING AND SCHEDULING OF FLEXIBLE ASSEMBLY SYSTEMS WITH SINGLE STATIONS AND INFINITE IN-PROCESS BUFFERS......Page 136
4.2.1 Simultaneous Loading and Scheduling......Page 137
4.2.2 Sequential Loading and Scheduling......Page 141
4.2.3 Computational Examples......Page 144
4.3 LOADING AND SCHEDULING OF FLEXIBLE ASSEMBLY SYSTEMS WITH PARALLEL STATIONS AND FINITE IN-PROCESS BUFFERS......Page 146
4.3.1 Simultaneous Loading and Scheduling......Page 147
4.3.2 Sequential Loading and Scheduling......Page 154
4.3.3 Computational Examples......Page 158
4.4 COMMENTS......Page 161
EXERCISES......Page 166
Part Two Medium-Term Scheduling in Supply Chains......Page 167
5.1 INTRODUCTION......Page 169
5.2 PROBLEM DESCRIPTION......Page 170
5.2.1 Critical Load Index......Page 172
5.3 BI-OBJECTIVE ORDER ACCEPTANCE AND DUE DATE SETTING......Page 173
5.4 LEXICOGRAPHIC APPROACH......Page 177
5.4.1 Model Enhancements......Page 179
5.5 SCHEDULING OF CUSTOMER ORDERS......Page 180
5.6 COMPUTATIONAL EXAMPLES......Page 184
5.7 COMMENTS......Page 194
EXERCISES......Page 195
6.1 INTRODUCTION......Page 197
6.2 PROBLEM DESCRIPTION......Page 199
6.3 BI-OBJECTIVE SCHEDULING OF CUSTOMER ORDERS......Page 201
6.4 MULTI-OBJECTIVE SCHEDULING OF CUSTOMER ORDERS......Page 207
6.4.1 Maximum Level of Total Inventory vs. Maximum Earliness of Customer Orders......Page 210
6.4.2 Finite Capacity of Input, Output, and Central Buffers......Page 211
6.4.3 Computational examples......Page 212
6.5 SCHEDULING OF SINGLE-PERIOD CUSTOMER ORDERS......Page 223
6.5.1 Cutting Constraints......Page 228
6.5.2 Computational Examples......Page 231
6.6 COMMENTS......Page 248
EXERCISES......Page 252
7.1 INTRODUCTION......Page 255
7.2 PROBLEM DESCRIPTION......Page 256
7.3 MIXED INTEGER PROGRAMS FOR REACTIVE SCHEDULING......Page 257
7.3.1 Basic Model......Page 258
7.4 RESCHEDULING ALGORITHMS......Page 260
7.5 INPUT AND OUTPUT INVENTORY......Page 263
7.6 COMPUTATIONAL EXAMPLES......Page 265
EXERCISES......Page 272
8.1 INTRODUCTION......Page 275
8.2 FLEXIBLE vs. CYCLIC MATERIAL SUPPLIES......Page 277
8.3 MODEL ENHANCEMENTS......Page 280
8.3.1 Finite Input Buffer......Page 281
8.3.2 Safety Lead Time......Page 283
8.4 COMPUTATIONAL EXAMPLES......Page 284
8.5 COMMENTS......Page 292
EXERCISES......Page 293
9.1 INTRODUCTION......Page 295
9.2 SELECTION OF A SUPPLY PORTFOLIO WITHOUT DISCOUNT UNDER OPERATIONAL RISKS......Page 297
9.3 SELECTION OF SUPPLY PORTFOLIO WITH DISCOUNT UNDER OPERATIONAL RISKS......Page 302
9.4 COMPUTATIONAL EXAMPLES......Page 305
9.5 SELECTION OF SUPPLY PORTFOLIO UNDER DISRUPTION RISKS......Page 308
9.6.1 Value-at-Risk vs. Conditional Value-at-Risk......Page 310
9.6.2 Minimization of Expected Costs......Page 312
9.6.3 Minimization of Expected Worst-Case Costs......Page 313
9.7 BI-OBJECTIVE SUPPLY PORTFOLIO UNDER DISRUPTION RISKS......Page 315
9.8 COMPUTATIONAL EXAMPLES......Page 316
9.9 COMMENTS......Page 325
EXERCISES......Page 327
10.1 INTRODUCTION......Page 329
10.2 MULTIPERIOD SUPPLIER SELECTION AND ORDER ALLOCATION......Page 330
10.3 SELECTION OF A DYNAMIC SUPPLY PORTFOLIO TO MINIMIZE EXPECTED COSTS......Page 333
10.4 SELECTION OF A DYNAMIC SUPPLY PORTFOLIO TO MINIMIZE EXPECTED WORST-CASE COSTS......Page 337
10.5 SUPPLY PORTFOLIO FOR BEST-CASE AND WORST-CASE TDN SUPPLIES......Page 338
10.5.1 Minimization of Expected Costs......Page 339
10.5.2 Minimization of Expected Worst-Case Costs......Page 340
10.6 COMPUTATIONAL EXAMPLES......Page 342
10.6.1 Scenarios with at Most One or with Consecutive Disruptions......Page 345
10.7 COMMENTS......Page 351
EXERCISES......Page 352
Part Three 
Coordinated Scheduling in Supply Chains......Page 354
11.1 INTRODUCTION......Page 357
11.2 PROBLEM DESCRIPTION......Page 358
11.3 MEDIUM-TERM PRODUCTION SCHEDULING......Page 361
11.3.1 Cutting Constraints for Multicapacity Machines......Page 363
11.4 SHORT-TERM MACHINE ASSIGNMENT AND SCHEDULING......Page 366
11.4.1 Machine Assignment......Page 367
11.4.2 Machine Scheduling......Page 369
11.5 COMPUTATIONAL EXAMPLES......Page 371
11.5.1 Material Availability......Page 379
11.6 COMMENTS......Page 384
EXERCISES......Page 385
12.1 INTRODUCTION......Page 387
12.2 PROBLEM DESCRIPTION......Page 388
12.3 SUPPLY CHAIN INVENTORY......Page 390
12.4 COORDINATED SUPPLY CHAIN SCHEDULING: AN INTEGRATED APPROACH......Page 395
12.5 COORDINATED SUPPLY CHAIN SCHEDULING: A HIERARCHICAL APPROACH......Page 398
12.6 COMPUTATIONAL EXAMPLES......Page 402
12.7 COMMENTS......Page 411
EXERCISES......Page 412
13.1 INTRODUCTION......Page 415
13.2 PROBLEM DESCRIPTION......Page 416
13.3 CONDITIONS FOR FEASIBILITY OF CUSTOMER DUE DATES......Page 419
13.4.1 Decision Variables......Page 421
13.4.2 Objective Functions: Customer Service Level vs. Total Cost......Page 423
13.4.3 A Multi-Objective Monolithic Model......Page 424
13.4.4 Multiperiod Orders......Page 427
13.5.2 Reference Point-Based Scalarizing Program......Page 428
13.6 COORDINATED SUPPLY CHAIN SCHEDULING: A HIERARCHICAL APPROACH......Page 429
13.6.1 Rough-Cut Capacity Allocation......Page 431
13.6.2 Scheduling of Customer Orders......Page 434
13.6.3 Scheduling Manufacturing and Delivery of Parts......Page 435
13.7 COMPUTATIONAL EXAMPLES......Page 437
13.8 COMMENTS......Page 444
EXERCISES......Page 445
14.1 INTRODUCTION......Page 447
14.2 PROBLEM DESCRIPTION......Page 448
14.3.1 Decision Variables......Page 449
14.3.2 Objective Functions: Lost Revenue vs. Inventory Holding Cost......Page 450
14.3.3 A Bi-Objective Monolithic Model......Page 452
14.4.1 Weighted-Sum Program......Page 454
14.5 COORDINATED SUPPLY CHAIN SCHEDULING: A HIERARCHICAL APPROACH......Page 455
14.5.1 Due Date Assignment......Page 456
14.5.2 Scheduling of Customer Orders......Page 458
14.5.3 Scheduling Manufacturing and Delivery of Parts......Page 459
14.6 COMPUTATIONAL EXAMPLES......Page 461
14.7 COMMENTS......Page 469
EXERCISES......Page 470
References......Page 473
Index......Page 485