Introduction to Computational Optimization Models for Production Planning in a Supply Chain: With 24 Tables

Front Cover
Springer Science & Business Media, 2003 - Computers - 233 pages
The book begins with an easy-to-read introduction to the concepts associated with the creation of optimization models for production planning. These concepts are then applied to well-known planning models, namely mrp and MRP II.

From this foundation, fairly sophisticated models for supply chain management are developed. Another unique feature is that models are developed with an eye toward implementation. In fact, there is a chapter that provides explicit examples of implementation of the basic models using a variety of popular, commercially available modeling languages.

 

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Contents

1 Introduction
1
12 Optimization
2
13 Components of Supply Chain Management
4
14 Scope of this Book
5
2 Optimization Modeling
7
22 Symbols
9
222 Sets
11
23 Finding Solutions
14
722 SCPc Model
99
73 Maximal MPL
104
731 mrp Model
105
732 MRPII
107
733 SCPc
108
74 OPL
112
741 mrp
113
742 MRPII
116

231 Data
15
233 Solvers and Model Structure
16
24 Implementing the Models in this Book
17
3 Starting with an mrp Model
19
32 mrp Mechanics
20
33 mrp Data
22
34 mrp Optimization Formulation
24
35 Discussion of mrp
26
351 Troubles
27
352 Virtues
29
4 Extending to an MRP II Model
31
42 MRP II Data and Constraints
34
43 Discussion of MRP II
36
44 Changeover Modeling Considerations
38
442 Production that Spans Time Buckets
39
443 Parallel Machines
40
444 Sequence Dependent Changeovers
41
445 A Few Remarks About Changeovers
42
5 A Better Model
45
512 Objective Function
47
52 Overtime and Extra Capacity
49
522 Complications
50
53 Allowing Tardiness
51
531 A Simple Model
52
532 Complications
53
54 Objective Function Issues
54
55 The Model
55
6 Extensions to the Model
59
62 Penalizing Changes to the Plan
62
63 Endofhorizon Effects and Minimum Inventories
64
64 Modeling Product Movement and Transport
66
641 Simple Product Movement and Shipping
67
644 Transportation Discounts
69
645 Discussion of Transportation Modeling
70
66 Aggregation and Consolidation
71
661 Consolidating Resources
73
662 Aggregating Parts
74
663 Discussion of Disaggregation
77
7 Implementation Examples
79
71 AMPL
82
711 mrp Model
84
712 mrp Data
85
713 Results of Running mrp
86
714 MRPII Model
87
715 Data for MRPII
88
716 SCPc Model
89
717 Data for SCPc
92
72 GAMS
94
721 mrp and MRPII Models
96
75 XpressMosel
121
751 mrp Model
123
752 mrp Data
126
753 mrp Results
127
755 SCPc Model
128
8 Solutions
133
82 Branch and Bound
136
83 Special Variable Types
139
832 General Integer Variables
140
833 Special Ordered Sets
141
84 Heuristic Search Methods
143
841 Abstract Formulation and Solution Representation
144
842 Example of an Embedded Problem
146
843 Neighborhoods and Evaluation Functions
147
844 Simulated Annealing
151
845 Tabu Search
153
846 Genetic and Evolutionary Algorithms
154
85 Constraint Programming
157
9 Some Stochastic Extensions
159
91 Lead Times and Congestion
160
911 The Issues
161
912 Load Dependent Lead Times
163
913 Solver Issues
166
914 Example
168
915 Complications and Discussion
169
92 Scenarios
170
921 The Issues
171
922 A Multistage Probabilistic Model With Recourse
173
923 Progressive Hedging
176
10 Research Directions and References
181
1011 The Evolution of Logistics
182
1012 The Importance of Information Technology
185
1013 Supply Contracts
189
102 mrp MRP II and Beyond
191
103 Production Planning and Scheduling
192
1032 Planning and Inventory Control
198
1033 Machine Scheduling
200
1034 Aggregation and Part Families
201
1035 Load Dependent Lead Times
203
104 Transportation
204
105 Optimization
208
1051 Exact Methods
209
1052 Heuristic Search Methods
210
1053 Progressive Hedging
212
106 Modeling
213
Bibliography
215
Index
229
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Page 221 - Karmarkar, US, 1987. Lot sizes, lead times and in-process inventories.

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