Average-Cost Control of Stochastic Manufacturing Systems / Edition 1

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"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 risk." The material covered in this 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.
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Editorial Reviews

From the Publisher
From the reviews of the first edition:

"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 shastic optimal control of manufacturing systems and is recommended." (A. Akutowicz, Zentralblatt MATH, Vol. 1078, 2006)

"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 shastic control." (George Yin, Mathematical Reviews, Issue 2005 k)

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Product Details

  • ISBN-13: 9781441919540
  • Publisher: Springer New York
  • Publication date: 11/19/2010
  • Series: Stochastic Modelling and Applied Probability Series, #54
  • Edition description: Softcover reprint of hardcover 1st ed. 2005
  • Edition number: 1
  • Pages: 324
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.71 (d)

Table of Contents

• Notation
• Part I: Introduction and Models of Manufacturing Systems
• Concepts of Near-Optimal Control
• Models of Manufacturing Systems
• Part II: 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
• Part III: 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
• Part IV: Conclusions
• Further Extensions and Open Research Problems
• Part V: Appendices
• References
• Author Index
• Subject Index *

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