The Value of Supply Chain Visibility when Yield is Random

The Value of Supply Chain Visibility when Yield is Random

by Marcus Dettenbach

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Overview

This book focuses on supply chains with uncertainty due to random yields. A common assumption in such systems is that the yields are observable only after all transportation or production steps are completed. The actual yield realization however happens earlier during the process. Technological advances and stronger supply chain collaboration make it possible to observe yield realization in real time and therefore close the time gap between the event and the observation. Within this thesis optimal and heuristic policies are developed that make use of this new type of information in various supply chain settings. These policies are used to identify conditions under which real time yield information is particularly beneficial. This book is relevant to both scholars and practitioners interested in managing supply chains with random yields.

Product Details

ISBN-13: 9783832539900
Publisher: Logos Verlag
Publication date: 05/29/2015
Pages: 140
Product dimensions: 5.70(w) x 8.00(h) x 0.40(d)

Table of Contents

List of Figures vi

List of Tables viii

List of Abbreviations ix

List of Symbols x

1 Introduction 1

1.1 Motivation - Supply Chain Visibility and Random Yield 1

1.2 Outline 3

1.3 Contribution 5

2 Foundations of Inventory Management under Random Yield 7

2.1 Modeling of Random Yield 7

2.2 Implications of Random Yield on Inventory Management 10

2.3 Implications of Random Yield on Cost Modeling 14

3 The Value of Real Time Yield Information in Multi-State Inventory Systems 17

3.1 Abstract 17

3.2 Introduction and Literature Review 18

3.3 Model Formulation 21

3.3.1 Model with Real Time Yield Information 22

3.3.2 Model without Real Time Yield Information 25

3.4 Optimal Solution Approach for the Infinite Horizon Model with Discrete and Finite State Space 26

3.4.1 Solution Approach with Real Time Yield Information 26

3.4.2 Solution Approach without Real Time Yield Information 27

3.5 Heuristic Solution Approaches 28

3.5.1 MULT-Heuristic 30

3.5.2 OPT-Heuristic 30

3.6 Computational Results 31

3.6.1 Optimal Solutions 31

3.6.2 Heuristic Solutions 35

3.7 Value of Real Time Yield Information 40

3.8 Extension: Fixed Order Cost 45

Appendix 3.A Summary of Notation 48

Appendix 3.B Proof of Theorem 3-1 49

Appendix 3.C Proof of Lemma 3-1 49

Appendix 3.D Proof of Theorem 3-2 50

Appendix 3.E Proof of Theorem 3-3 50

Appendix 3.F Proof of Proposition 3-1 51

4 The Value of Supply Chain Visibility when Visibility is Costly 53

4.1 Abstract 53

4.2 Introduction and Literature Review 54

4.3 Model 56

4.4 Computational Results 59

4.4.1 The Value of a Flexible Tracking Policy 59

4.4.2 Influences on Tracking Decision 63

4.5 Conclusion 66

Appendix 4.A Proof of Theorem 4-1 68

Appendix 4.B Proof of Theorem 4-2 68

5 Co-Production and Partial Supply Chain Visibility in Semiconductor Manufacturing 69

5.1 Abstract 69

5.2 Introduction 70

5.3 Related Literature 72

5.4 Model 75

5.5 Structural Results 78

5.5.1 Single-Period Analysis 78

5.5.2 Two-Period Analysis 80

5.6 Solution Approaches 82

5.6.1 ε-optimal Solution Approach 82

5.6.2 Heuristic Solution Approach 85

5.7 Numerical Results 87

5.7.1 ε-optimal Solution Approach 87

5.7.2 Comparison of Heuristic with ^-optimal Solution 89

5.7.3 The Value of Preliminary Yield Information 92

5.8 Conclusion 95

Appendix 5.A Proof of Theorem 5-1 97

Appendix 5.B Prof it function for two-period model 100

Appendix 5.C First order derivatives for two-period model 102

Appendix 5.D Proof of Theorem 5-2 104

6 Conclusion

6.1 Summary of Key Results 113

6.2 Critical Review of Modeling Approach 115

6.3 Directions for Further Research 116

Bibliography 119

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