Average-Cost Control of Stochastic Manufacturing Systems

Suresh Sethi, Hanquin Zhang, Qing Zhang - Collection Stochastic Modelling and Applied Probability

324 pages, parution le 31/08/2004

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Résumé

This book is concerned with production planning and control in manufacturing systems with machines subject to breakdown and repair. The objective is to control the rate of production over time in order to meet the demand at a minimum long-run average cost.

Increasingly complex and realistic models of manufacturing systems with failure-prone machines are formulated as stochastic optimal control problems. Partial characterization of their solutions are provided when possible along with their decomposition based on event frequencies. In the latter case, two-level decisions are constructed which are shown to be asymptotically optimal as the average time between successive short-term events becomes much smaller than that between successive long-term events. The striking novelty of this approach is that this is done without solving for the optimal solution, which is an insurmountable task.

The material covered in the book cuts across the disciplines of Applied Mathematics, Operations Management, Operations Research, and System and Control Theory. It is written for operations researchers, system and control theorists, applied mathematicians, operations management specialists, and industrial engineers.

Sommaire

Preface
Notation
Introduction and Models of Manufacturing Systems
- Concepts of Near-Optimal Control
- Models of Manufacturing Systems
Optimal Control of Manufacturing Systems: Existence and Characterization
- Optimal Control of Parallel Machine Systems
- Optimal Control of Dynamic Flowshops
- Optimal Controls of Jobshops
- Risk-Sensitive Control
Near-Optimal Controls
- Near-Optimal Control of Parallel Machine Systems
- Near-Optimal Control of Dynamic Flowshops
- Near-Optimal Controls of Jobshops
- Near-Optimal Risk-Sensitive Control
Conclusions
- Further Extensions and Open Research Problems
Appendices
- A: Finite State Markov Chains
- B: Convergence and Error Estimates of Markov Chains
- C: Convex Sets and Functions
- D: Viscosity Solutions of HJB Equations
- E: Discounted Cost Problems
- F: Miscellany
References
Author Index
Subject Index
Copyright Permissions

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Suresh Sethi, Hanquin Zhang, Qing Zhang
Collection	Stochastic Modelling and Applied Probability
Parution	31/08/2004
Nb. de pages	324
Format	16 x 24
Couverture	Relié
Poids	606g
Intérieur	Noir et Blanc
EAN13	9780387219479
ISBN13	978-0-387-21947-9