Dynamic control of quality in production-inventory systems生产一库存系统的质量动态控制

出版日期:2002-8
ISBN:9780387954912
作者:Yao, David D.; Yao, D. D.; Zheng, S. H.
页数:218页

作者简介

Looks at quality management in a new way; Offers a very different mathematical tool set than traditionally employed for quality control problems; Yao is a leading researcher in the area of stochastic modeling and the author of a previous Springer book

书籍目录

Acknowledgments  1 Introduction  1.1 Theme and Methodologies  1.2 Relations to Other Approaches  1.3 Organization and Overview 2 Stochastic Monotonicity, Convexity, and Submodularity  2.1 Stochastic and Likelihood-Ratio Orderings  2.2 Stochastic Convexity  2.3 Stochastic Submodularity  2.4 Markov Chain Applications  2.5 Notes 3 Quality Control for Products with Warranty  3.1 Warranty Cost Functions  3.2 K-Submodularity  3.3 Conditional Distribution for Defectives  3.4 Optimal Policy  3.5 The Individual Warranty Model  3.6 Examples and Extensions  3.7 Notes 4 Process Control in Batch Production  4.1 Machine Revision  4.2 MDP Formulation   4.2.1 MDP Essentials   4.2.2 The MDP Problem  4.3 Discounted-Cost Model   4.3.1 Optimality Equations   4.3.2 Structural Properties   4.3.3 Optimal Policies  4.4 Average-Cost Model  4.5 Special Case: No Inspection Cost  4.6 Notes 5 Coordinated Production-Inspection in a Tandem System  5.1 A Two-Stage Tandem Queue   5.1.1 Problem Statement   5.1.2 The SMDP Formulation  5.2 Stationary Optimal Policies  5.3 Structure of the Optimal Policy  5.4 Notes 6 Sequential Inspection Under Capacity Constraints  6.1 Capacity Constraints  6.2 Optimality of the Threshold Policy  6.3 Further Characterization of the Optimal Policy  6.4 An Application in Semiconductor Manufacturing  6.5 Notes 7 Coordination of Interstage Inspections  7.1 Two-Stage Quality Control  7.2 Analysis of Stage 1  7.3 Optimal Policy at Stage 2   7.3.1 Priority Structure   7.3.2 Threshold Structure  7.4 A Special Case: Constant Defective Rates  7.5 Optimal Policy at Stage 1  7.6 General Cost Functions  7.7 Notes 8 Optimal Inspection in an Assembly System  8.1 A Two-Component Assembly Model  8.2 Dynamic Programming Formulation  8.3 One Component with a Constant Defective Rate  8.4 A Heuristic Policy  8.5 Notes 9 Coordinated Replenishment and Rework with Unreliable Supply Sources 10 Inventory Control with Substitution References  Index


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