
| 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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