Introduction to Computational... | Buy

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.

Introduction

1

(6)

Supply Chains and Production Planning

1

(1)

Optimization

2

(2)

Components of Supply Chain Management

4

(1)

Scope of this Book

5

(2)

Optimization Modeling

7

(12)

Abstraction

7

(2)

Symbols

9

(5)

Variables, Data, Subscripts, and Math

9

(2)

Sets

11

(1)

Objective Functions and Constraints

11

(3)

Finding Solutions

14

(3)

Data

15

(1)

A Few Words About Uncertainty

15

(1)

Solvers and Model Structure

16

(1)

Implementing the Models in this Book

17

(2)

Starting with an mrp Model

19

(12)

An Example

19

(1)

mrp Mechanics

20

(2)

mrp Data

22

(2)

mrp Optimization Formulation

24

(2)

Discussion of mrp

26

(5)

Troubles

27

(2)

Virtues

29

(2)

Extending to an MRP II Model

31

(14)

MRP II Mechanics

31

(3)

MRP II Data and Constraints

34

(2)

Discussion of MRP II

36

(2)

Changeover Modeling Considerations

38

(7)

A Straightforward Modification

38

(1)

Production that Spans Time Buckets

39

(1)

Parallel Machines

40

(1)

Sequence Dependent Changeovers

41

(1)

A Few Remarks About Changeovers

42

(3)

A Better Model

45

(14)

A Cost Based Objective Function

45

(4)

Costs

45

(2)

Objective Function

47

(2)

Overtime and Extra Capacity

49

(2)

A Simple Model

49

(1)

Complications

50

(1)

Allowing Tardiness

51

(3)

A Simple Model

52

(1)

Complications

53

(1)

Objective Function Issues

54

(1)

The Model

55

(4)

Extensions to the Model

59

(20)

Substitutes, Multiple Routings and Subcontractors

59

(3)

Penalizing Changes to the Plan

62

(2)

End-of-horizon Effects and Minimum Inventories

64

(2)

Modeling Product Movement and Transport

66

(4)

Simple Product Movement and Shipping

67

(1)

Expedited Shipping

67

(1)

Fixed Costs and Consolidations

67

(2)

Transportation Discounts

69

(1)

Discussion of Transportation Modeling

70

(1)

Summarizing the Model

70

(1)

Aggregation and Consolidation

71

(8)

Consolidating Resources

73

(1)

Aggregating Parts

74

(3)

Discussion of Disaggregation

77

(2)

Implementation Examples

79

(54)

AMPL

82

(12)

mrp Model

84

(1)

mrp Data

85

(1)

Results of Running mrp

86

(1)

MRPII Model

87

(1)

Data for MRPII

88

(1)

SCPc Model

89

(3)

Data for SCPc

92

(2)

GAMS

94

(10)

mrp and MRPII Models

96

(3)

SCPc Model

99

(5)

Maximal MPL

104

(8)

mrp Model

105

(2)

MRPII

107

(1)

SCPc

108

(4)

OPL

112

(9)

mrp

113

(3)

MRPII

116

(1)

SCPc

116

(5)

Xpress-Mosel

121

(12)

mrp Model

123

(3)

mrp Data

126

(1)

mrp Results

127

(1)

MRPII Model

127

(1)

SCPc Model

128

(5)

Solutions

133

(26)

MIPs and Relaxations

133

(3)

Branch and Bound

136

(3)

Special Variable Types

139

(4)

Semi-continuous Variables

139

(1)

General Integer Variables

140

(1)

Special Ordered Sets

141

(2)

Heuristic Search Methods

143

(14)

Abstract Formulation and Solution Representation

144

(2)

Example of an Embedded Problem

146

(1)

Neighborhoods and Evaluation Functions

147

(4)

Simulated Annealing

151

(2)

Tabu Search

153

(1)

Genetic and Evolutionary Algorithms

154

(3)

Constraint Programming

157

(2)

Some Stochastic Extensions

159

(22)

Lead Times and Congestion

160

(10)

The Issues

161

(2)

Load Dependent Lead Times

163

(3)

Solver Issues

166

(2)

Example

168

(1)

Complications and Discussion

169

(1)

Scenarios

170

(11)

The Issues

171

(2)

A Multi-stage Probabilistic Model With Recourse

173

(3)

Progressive Hedging

176

(5)

Research Directions and References

181

(34)

Supply Chain Management

181

(10)

The Evolution of Logistics

182

(3)

The Importance of Information Technology

185

(4)

Supply Contracts

189

(2)

mrp, MRP II and Beyond

191

(1)

Production Planning and Scheduling

192

(12)

Lot Sizing Models

192

(6)

Planning and Inventory Control

198

(2)

Machine Scheduling

200

(1)

Aggregation and Part Families

201

(2)

Load Dependent Lead Times

203

(1)

Transportation

204

(4)

Optimization

208

(5)

Exact Methods

209

(1)

Heuristic Search Methods

210

(2)

Progressive Hedging

212

(1)

Modeling

213

(2)

Bibliography

215

(14)

Index

229

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