Multi-level capacitated lotsizing with setup carryover:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
Köln
Kölner Wiss.-Verl.
2008
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XXVII, 219 S. graph. Darst. 210 mm x 145 mm |
| ISBN: | 9783937404516 |
Staff View
MARC
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| 100 | 1 | |a Buschkühl, Lisbeth |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multi-level capacitated lotsizing with setup carryover |c Lisbeth Buschkühl |
| 264 | 1 | |a Köln |b Kölner Wiss.-Verl. |c 2008 | |
| 300 | |a XXVII, 219 S. |b graph. Darst. |c 210 mm x 145 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl.: Köln, Univ., Diss., 2008 | ||
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Record in the Search Index
| _version_ | 1805092572721315840 |
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Contents
Preface V
List of Figures XIII
List of Tables XIV
List of Algorithms XIX
List of Symbols XX
List of Abbreviations XXIV
A Introduction and Outline 1
B Literature Review 7
B.I Model Formulations. 8
B.I.I The Single-Level Capacitated Lotsizing Problem . 8
B.I.2 The Multi-Level Capacitated Lotsizing Problem . 11
B.I.3 The Single-Level Capacitated Lotsizing Problem with
Linked Lotsizes . 12
B.2 Complexity Considerations . 19
VII
VIII Multi-Level Capacitated Lotsizing with Setup Carryover
B.3 Solution Approaches. 21
B.3.1 Mathematical Programming based Approaches. 23
B.3.1.1 Branch Bound Heuristics. 23
B.3.1.1.1 Reformulation . 24
B.3.1.1.2 Valid Inequalities. 28
B.3.1.2 Fix Relax Heuristics . 29
B.3.1.3 Rounding Heuristics. 30
B.3.1.4 Linear Programming based Approaches. 31
B.3.1.5 Dantzig-Wolfe Decomposition and Column Gener-
ation . 32
B.3.2 Lagrangean Heuristics. 33
B.3.3 Decomposition and Aggregation Approaches. 40
B.3.4 Metaheuristics . 44
B.3.4.1 Local Search. 46
B.3.4.2 Simulated Annealing. 46
B.3.4.3 Tabu Search . 47
B.3.4.4 Variable Neighborhood Search . 48
B.3.4.5 Genetic Algorithms . 48
B.3.4.6 Ant Colony Optimization. 49
B.3.5 Greedy Heuristics . 50
C Test Instances 55
C.I Problem Sizes. 56
C.2 Product and Process Structures . 56
C.3 Demand Profiles . 59
C.4 Setup Time Profiles . 60
C.5 Setup and Holding Cost Ratios. 61
C.6 Capacity Utilization Profiles. 62
Contents IX
C.7 Number of Parallel Machines. 64
D Model Formulations 65
D.I The Multi-level Dynamic Capacitated Lotsizing Problem with
Linked Lotsizes . 66
D.I.I Inventory Lotsize Formulation. 68
D.1.2 Echelon Formulation. 70
D.I.3 Shortest Route Formulation. 75
D.I.4 Simple Plant Location Formulation. 77
D.I.5 Computational Results . 79
D.2 Consecutive Setup Carryovers . 82
D.2.1 Standard formulation . 82
D.2.2 Extended formulation. 83
D.2.3 Computational Results. 84
D.3 Parallel Machines . 86
D.3.1 Model Formulation. 86
D.3.2 Computational Results. 88
E Solution Procedure based on Lagrangean Relaxation 91
E.I Outline of the Procedure. 93
E.2 Computation of the Lower Bound. 95
E.2.1 Single Setup Carryover . 95
E.2.2 Consecutive Setup Carryover. 102
E.3 Lagrangean Multiplier Update . 104
E.4 Computation of the Upper Bound . 209
E.4.1 Inventory Balance Constraints . 109
E.4.2 Setup Carryover Constraints . Ill
E.4.2.1 Single Setup Carryover . 112
X Multi-Level Capacitated Lotsizing with Setup Carryover
E.4.2.2 Consecutive Setup Carryover. 113
E.4.3 Capacity Constraints . 114
E.4.3.1 Outline of the Finite Loading Heuristic. 115
E.4.3.2 Order of Consideration of Shifts . 117
E.4.3.3 Shifts. 118
E.4.3.3.1 Changes to the Setup Pattern in the Target
Period . 121
E.4.3.3.2 Changes to the Setup Pattern in the Original
Period . 122
E.4.3.3.3 Single-Item Forward Shifts. 123
E.4.3.3.4 Multi-Item Forward Shifts. 126
E.4.3.3.5 Single-Item Backward Shifts . 129
E.4.3.3.6 Multi-Item Backward Shifts . 132
E.4.3.3.7 Priority Values . 134
E.4.3.3.8 Tabu Lists . 136
E.4.4 Postoptimization. 136
E.5 Adaptation for Parallel Machines . 138
E.o.l Aggregate Model Formulation for Resource Types . . . 140
E.5.2 Computation of a Feasible Solution for Parallel Machines 145
E.5.2.1 Assignment of Production to Individual Resources 145
E.5.2.2 Feasibility Routine. 149
E.5.2.2.1 Lot Splitting. 149
E.5.2.2.2 Shifting of Setup Activities. 151
E.5.2.2.3 Modified Finite Loading Heuristic. 152
E.5.3 Postoptimization. 154
F Computational Study 155
F.I Comparison of the Performance for Various Parameter Com-
binations . 156
Contents XI
F.I.I Parameters for the Lagrangean Multipliers . 157
F.I. 1.1 Parameters for the Smoothing of the Subgradients 157
F.I. 1.2 Parameters for the Update of the Lagrangean Mul-
tipliers . 158
F.I.1.2.1 Parameters for Factor Sl. 159
F.I.1.2.2 Parameters for the Estimate of the Optimal
Solution. 160
F.I.1.2.3 Parameters for the Updating Modi. 161
F.I.2 Parameter for the Termination of the Finite Loading
Heuristic . 162
F.I.3 Parameters for the Sorting of Resources. 162
F.I.4 Parameters for the Sorting of Resources and Periods . . 165
F.I.5 Parameters for the Shifts . 166
F.I.5.1 Parameters for the Backward Shifts . 166
F.I.5.2 Parameters for the Multi-item Shifts. 167
F.I.5.3 Parameters for Careful Shifts. 168
F.I.6 Parameters for the Computation of Priority Values . . 169
F.I.7 Parameters for the Application of Tabu Lists. 171
F.I.7.1 Parameters for the Tabu Status. 171
F.1.7.2 Parameters for the Aspiration Criterion. 172
F.2 Dominant Parameter Configurations and Further Tests for Se-
lected Parameters Parameters . 173
F.2.1 Dominant Parameter Configurations. 173
F.2.2 Further tested Parameter Combinations. 175
F.2.3 Parameters for Parallel Machines. 177
F.3 Evaluation of the Overall Performance of the Heuristic . . . 180
F.3.1 Results for the MLCLSPL with Single Setup Carryover 183
F.3.2 Results for the MLCLSPL with Consecutive Setup Car-
ryover . 189
XII Multi-Level Capacitated Lotsizing with Setup Carryover
F.3.3 Results for the MLCLSPL with Parallel Machines . 194
F.3.3.1 Single Setup Carryover . 194
F.3.3.2 Consecutive Setup Carryover. 198
G Conclusions and Future Work 203
Bibliography 205
List of Figures
C.I Product and process structures for 10 items and 3 resources . 57
C.2 Product and process structures for 20 items and 6 resources . 58
C.3 Product structures and process structures for 40 items and 6
resources. 59
D.I Example of infeasible production schedules without capacity
violation. 68
E.I Example of a schedule violating equation (E.55). 141
F.I Development of the upper and the lower bound for a given
test instances. 181
XIII
List of Tables
B.I Model formulations for the CLSPL. 16
B.2 MP-based heuristics. 22
B.3 Lagrangean Heuristics. 36
B.4 Decomposition and Aggregation Heuristics. 41
B.5 Metaheuristics . 45
B.6 Greedy Heuristics. 51
C.I Problem Sizes of the test instances. 56
C.2 Mean demand. 60
C.3 Setup time profiles. 60
C.4 TBO profiles . 62
C.5 Capacity profiles. 64
C.6 Number of parallel machines . 64
D.I Comparison of the model formulations for single carryovers:
number of optimal solutions. 80
D.2 Comparison of the model formulations for single carryovers:
mipgap and computation time. 81
D.3 Comparison of the model formulations for consecutive carry-
overs: number of optimal solutions. 85
XV
XVI Multi-Level Capacitated Lotsizing with Setup Carryover
D.4 Comparison of the model formulations for consecutive carry-
overs: mipgap and computation time. 86
D.o Comparison of the model formulations for parallel machines:
number of optimal solutions. 89
D.6 Comparison of the model formulations for parallel machines:
mipgap and computation time. 89
F.I Tested values for the smoothing parameters of the subgradients 157
F.2 Results for the smoothing parameters of the subgradients . . 158
F.3 Tested Combinations for the Parameters for the Lagrangean
multipliers. 158
F.4 Tested values for the stepsize update factor 5l. 159
F.5 Results for the stepsize update factor Sl. 160
F.6 Tested values for the estimate of the upper bound . 160
F.7 Results for the estimate of the optimal solution. 160
F.8 Tested values for the stepsize update: upper and lower bounds 161
F.9 Results for the stepsize update. 162
F.10 Tested values for the sorting of resources. 163
F.ll Results for the sorting of resources. 164
F.12 Tested values for the order of consideration of resources and
periods. 165
F.13 Results for the order of consideration of resources and periods 165
F.14 Tested values for backward shifts. 166
F.15 Results for backward shifts . 167
F.16 Tested values for multi-item shifts . 168
F.17 Results for multi-item shifts. 168
F. 18 Tested values for the first iteration of careful shifts. 169
F.19 Results for the first iteration of careful shifts. 169
F.20 Tested values for the computation of the priority values . . . 170
List of Tables XVII
F.21 Results for the priority values . 170
F.22 Tested values for the tabu lists. 171
F.23 Results for the tabu lists. 172
F.24 Tested values for the aspiration criterion. 172
F.25 Dominant configuration for the parameters for the Lagrangean
multipliers. 173
F.26 Dominant Configuration for the Parameter for the termination
of the finite loading heuristic . 174
F.27 Dominant configuration for the parameters for the ordering of
shifts. 174
F.28 Dominant configuration for the parameters for the shifts . 174
F.29 Dominant configuration for the parameters for the application
of tabu lists. 175
F.30 Tested values for the computation of the priority values . 176
F.31 Results for the maximum number of per TBO profile. 176
F.32 Dominant configuration for the parameters for the computa-
tion of priority values . 177
F.33 Tested values for the setup cost modification - test 1. 178
F.34 Results for the setup cost modification for the MLCLSPLpa/
- test 1. 178
F.35 Tested values for the setup cost modification for the
MLCLSPLpM - test 2. 178
F.36 Results for the setup cost modification for the MLCLSPLP,u
- test 2. 179
F.37 Results for the setup cost modification for the
MLCLSPLpa/cc - test 1. 179
F.38 Tested values for the setup cost modification for the
MLCLSPLPA/CC - test 2. 180
F.39 Results for the setup cost modification for the
MLCLSPLpMCC - test 2. 180
F.40 Tested values for the maximum number of iterations lmax for
the MLCLSPL without parallel machines . 182
XVIII Multi-Level Capacitated Lotsizing with Setup Carryover
F.41 Tested values for the maximum number of iterations lmax for
the MLCLSPL with parallel machines. 182
F.42 Number of feasible solutions for the MLCLSPLe . 183
F.43 Results for the MLCLSPLe . 184
F.44 Results for the MLCLSPLe per class. 185
F.45 Results for the MLCLSPLe per capacity and setup time profile 186
F.46 Results for the MLCLSPLe per setup and holding cost ratio . 187
F.47 Results for the MLCLSPLe per product and process structure
and demand profile. 188
F.48 Number of feasible solutions for the MLCLSPLcc . 189
F.49 Results for the MLCLSPLcc. 189
F.50 Results for the MLCLSPLcc per class. 190
F.51 Results for the MLCLSPLcc Per capacity and setup time profile 191
F.52 Results for the MLCLSPLcc per setup and holding cost ratio 192
F.53 Results for the MLCLSPLcc per product and process struc-
ture and demand profile. 193
F.54 Number of feasible solutions for the MLCLSPLp^f. 194
F.55 Results for the MLCLSPLpm . 194
F.56 Results for the MLCLSPLpm per class. 195
F.57 Results for the MLCLSPLpm per capacity profile. 196
F.58 Results for the MLCLSPLpm per product and process struc-
ture and demand profile. 197
F.59 Number of feasible solutions for the MLCLSPLpa/cc • • ¦ • 198
F.60 Results for the MLCLSPLpmcc . 198
F.61 Results for the MLCLSPLpmcc Per class. 199
F.62 Results for the MLCLSPLpmcc per capacity profile. 200
F.63 Results for the MLCLSPLpmcc per product and process
structure and demand profile. 201
List of Algorithms
1 Generation of the capacity matrix. 63
2 Lagrangean heuristic. 94
3 Computation of the lower bound. 102
4 Upper bound - inventory balance constraints. 110
5 Upper bound - setup carryover constraints . 113
6 Upper bound - consecutive setup carryover constraints. 114
7 Upper bound - capacity constraints . 116
8 Upper bound - single-item forward shifts. 124
9 Upper bound - multi-item forward shifts . 127
10 Upper bound - single-item backward shifts. 131
11 Upper bound - multi-item backward shifts . 133
12 Iterative solution procedure for parallel machines. 140
13 Assignment of production to parallel machines. 146
14 Feasibility routine. 150
XIX |
| any_adam_object | 1 |
| author | Buschkühl, Lisbeth |
| author_facet | Buschkühl, Lisbeth |
| author_role | aut |
| author_sort | Buschkühl, Lisbeth |
| author_variant | l b lb |
| building | Verbundindex |
| bvnumber | BV035589611 |
| classification_rvk | QP 542 |
| ctrlnum | (OCoLC)269455291 (DE-599)DNB989792714 |
| dewey-full | 658.53 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
| dewey-raw | 658.53 |
| dewey-search | 658.53 |
| dewey-sort | 3658.53 |
| dewey-tens | 650 - Management and auxiliary services |
| discipline | Wirtschaftswissenschaften |
| format | Thesis Book |
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| indexdate | 2024-07-20T10:13:44Z |
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| publisher | Kölner Wiss.-Verl. |
| record_format | marc |
| spelling | Buschkühl, Lisbeth Verfasser aut Multi-level capacitated lotsizing with setup carryover Lisbeth Buschkühl Köln Kölner Wiss.-Verl. 2008 XXVII, 219 S. graph. Darst. 210 mm x 145 mm txt rdacontent n rdamedia nc rdacarrier Zugl.: Köln, Univ., Diss., 2008 Mehrstufige Produktion (DE-588)4502326-8 gnd rswk-swf Produktionsplanung (DE-588)4047360-0 gnd rswk-swf Losgrößenmodell (DE-588)4261231-7 gnd rswk-swf Operations Research (DE-588)4043586-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Produktionsplanung (DE-588)4047360-0 s Losgrößenmodell (DE-588)4261231-7 s Mehrstufige Produktion (DE-588)4502326-8 s Operations Research (DE-588)4043586-6 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3141524&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3141524&prov=M&dok_var=1&dok_ext=htm Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017644857&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Buschkühl, Lisbeth Multi-level capacitated lotsizing with setup carryover Mehrstufige Produktion (DE-588)4502326-8 gnd Produktionsplanung (DE-588)4047360-0 gnd Losgrößenmodell (DE-588)4261231-7 gnd Operations Research (DE-588)4043586-6 gnd |
| subject_GND | (DE-588)4502326-8 (DE-588)4047360-0 (DE-588)4261231-7 (DE-588)4043586-6 (DE-588)4113937-9 |
| title | Multi-level capacitated lotsizing with setup carryover |
| title_auth | Multi-level capacitated lotsizing with setup carryover |
| title_exact_search | Multi-level capacitated lotsizing with setup carryover |
| title_full | Multi-level capacitated lotsizing with setup carryover Lisbeth Buschkühl |
| title_fullStr | Multi-level capacitated lotsizing with setup carryover Lisbeth Buschkühl |
| title_full_unstemmed | Multi-level capacitated lotsizing with setup carryover Lisbeth Buschkühl |
| title_short | Multi-level capacitated lotsizing with setup carryover |
| title_sort | multi level capacitated lotsizing with setup carryover |
| topic | Mehrstufige Produktion (DE-588)4502326-8 gnd Produktionsplanung (DE-588)4047360-0 gnd Losgrößenmodell (DE-588)4261231-7 gnd Operations Research (DE-588)4043586-6 gnd |
| topic_facet | Mehrstufige Produktion Produktionsplanung Losgrößenmodell Operations Research Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3141524&prov=M&dok%5Fvar=1&dok%5Fext=htm http://deposit.dnb.de/cgi-bin/dokserv?id=3141524&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017644857&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT buschkuhllisbeth multilevelcapacitatedlotsizingwithsetupcarryover |