Average-cost control of stochastic manufacturing systems有可能的制造业系统的平均-成本控制

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作者: Suresh P. Sethi著

出 版 社:

出版时间: 2005-3-1字数:版次: 1页数: 324印刷时间: 2005/03/01开本: 16开印次: 1纸张: 胶版纸I S B N : 9780387219479包装: 精装内容简介

“This book is a study on the optimal control of manufacturing systems subject to breakdowns and repairs。……Six appendices provide mathematical technical support。 153 references are given。 There is an author index as well as a subject index。 This book is a useful reference on the stochastic optimal control of manufacturing systems and is recommended。”

“The book under review is concerned with systems that consist of machines subjects to breakdown and repair …… 。 The book is written for applied mathematics, operations researchers, as well as practitioners working in manufacturing。 In summary, this is an excellent book devoted to a fast growing area, which has significant impact on the economy。 It is conceivable that … this book will further stimulate subsequent research in production planning as well as in systems theory and stochastic control。”

目录

Preface

Notation

Part I: Introduction and Models of Manufacturing Systems

1Concept of Near-Optimal Control

1.1 Introduction

1.2 A Brief Review of the Related Literature

1.3 Plan of the Book

2Models of Manufacturing Systems

2.1 Introduction

2.2 A Parallel-Machine, Single Product Model

2.3 A Parallel-Machine, Multiproduct Model

2.4 A Single Product Dynamic Flowshop

2.5 A Dynamic Jobshop

Part II: Optimal Control of Manufacturing Systems: Existenceand Characterization

3 Optimal Control of Parallel-Machine Systems

3.1 Introduction

3.2 Problem Formulation

3.3 Estimates for Discounted Cost Value Functions

3.4 Verification Theorem

3.5 Existence and Characterization of Optimal Policy

3.6 Turnpike Set Analysis

3.7 Multiproduct Systems

3.8 Notes

4 Optimal Control of Dynamic Flowshops

4.1 Introduction

4.2 Problem Formulation

4.3 Estimates for Discounted Cost Value Functions

4.4 Verification Theorem and HJBDD Equations

4.5 Two-Machine Flowshop with Finite Internal Buffer

4.6 Notes

5Optimal Controls of Dynamic Jobshops

5.1 Introduction

5.2 A Graph-Theoretic Framework and Problem Formulation

5.3 Estimates for Discounted Cost Value Functions

5.4 Verification Theorem

5.5 Notes

6Risk-Sensitive Control

6.1 Introduction

6.2 Problem Formulation

6.3 HJB Equations

6.4 Verification Theorein

6.5 Notes

Part III: Near-Optimal Controls

7 Near-Optimal Control of Parallel-Machine Systems

7.1 Introduction

7.2 Problem Forinulation

7.3 The Limiting Control Problem

7.4 Convergence of the Minimum Average Expected Cost

7.5 Asymptotic Optimal Controls

7.6 Parallel-Machine Systems without Attrition

7.7 Notes

8 Near-Optimal Control of Dynamic Flowshops

8.1 Introduction

8.2 Problem Formulation

8.3 The Limiting Control Problem

8.4 Convergence of the Minimum Average Expected Cost

8.5 Construction of a Near-Optimal Control

8.6 Notes

……

PartⅣ:Conclusions

PartⅤ:Appendices

References

Author Index

Subject Index

Copyright Permissions

 
 
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