Hierarchical production planning for discrete event manufacturing systems.

Ngo-Tai Fong.Thesis (Ph.D.)--Chinese University of Hong Kong, 1996.Includes bibliographical references (leaves 158-168).Chapter 1 --- Introduction --- p.1Chapter 1.1 --- Manufacturing Systems: An Overview --- p.1Chapter 1.2 --- Previous Research --- p.3Chapter 1.3 --- Motivation --- p.5Chapter 1.4 --- Outline of the Thesis --- p.8Chapter 2 --- Preliminaries --- p.11Chapter 2.1 --- Problem Formulation: Deterministic Production Planning --- p.11Chapter 2.2 --- Markov Chain --- p.15Chapter 2.3 --- Problem Formulation: Stochastic Production Planning --- p.18Chapter 2.4 --- Some Lemmas --- p.24Chapter 3 --- Open-Loop Production Planning in Stochastic Flowshops --- p.26Chapter 3.1 --- Introduction --- p.26Chapter 3.2 --- Limiting Problem --- p.29Chapter 3.3 --- Weak-Lipschitz Continuity --- p.34Chapter 3.4 --- Constraint Domain Approximation --- p.41Chapter 3.5 --- Asymptotic Analysis: Initial States in Sε --- p.47Chapter 3.6 --- Asymptotic Analysis: Initial States in S \ Sε --- p.61Chapter 3.7 --- Concluding Remarks --- p.70Chapter 4 --- Feedback Production Planning in Deterministic Flowshops --- p.72Chapter 4.1 --- Introduction --- p.72Chapter 4.2 --- Assumptions --- p.75Chapter 4.3 --- Optimal Feedback Controls --- p.76Chapter 4.3.1 --- The Case c1 < c2+ --- p.78Chapter 4.3.2 --- The Case c1 ≥ c2+ --- p.83Chapter 4.4 --- Concluding Remarks --- p.88Chapter 5 --- Feedback Production Planning in Stochastic Flowshops --- p.90Chapter 5.1 --- Introduction --- p.90Chapter 5.2 --- Original and Limiting Problems --- p.91Chapter 5.3 --- Asymptotic Optimal Feedback Controls for pε --- p.97Chapter 5.3.1 --- The Case c1 < c2+ --- p.97Chapter 5.3.2 --- The Case c1 ≥ c2+ --- p.118Chapter 5.4 --- Concluding Remarks --- p.124Chapter 6 --- Computational Evaluation of Hierarchical Controls --- p.126Chapter 6.1 --- Introduction --- p.126Chapter 6.2 --- The Problem and Control Policies under Consideration --- p.128Chapter 6.2.1 --- The Problem --- p.128Chapter 6.2.2 --- Hierarchical Control (HC) --- p.131Chapter 6.2.3 --- Kanban Control (KC) --- p.133Chapter 6.2.4 --- Two-Boundary Control (TBC) --- p.137Chapter 6.2.5 --- "Similarities and Differences between HC, KC, and TBC" --- p.141Chapter 6.3 --- Computational Results --- p.142Chapter 6.4 --- Comparison of HC with Other Polices --- p.145Chapter 6.5 --- Concluding Remarks --- p.151Chapter 7 --- Conclusions and Future Research --- p.153Bibliography --- p.15