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Optimal Flow Control in Manufacturing Systems

Production Planning and Scheduling

  • Oded Maimon
  • Eugene Khmelnitsky
  • Konstantin Kogan

Part of the Applied Optimization book series (APOP, volume 18)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Basic Concepts

    1. Front Matter
      Pages 1-1
    2. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 3-9
    3. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 11-55
  3. Flow Control in Production Planning

    1. Front Matter
      Pages 57-57
    2. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 59-84
    3. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 85-116
  4. Flow Control in Scheduling

    1. Front Matter
      Pages 117-117
    2. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 119-137
    3. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 139-206
    4. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 207-267
  5. Scheduling Implementation

    1. Front Matter
      Pages 269-269
    2. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 271-286
    3. Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan
      Pages 287-344
  6. Back Matter
    Pages 345-348

About this book

Introduction

This book presents a unified optimal control approach to a large class of problems arising in the field of production planning and scheduling. It introduces a leading optimal flow control paradigm which results in efficient solutions for planning and scheduling problems. This book also introduces the reader to analytical and numerical methods of the maximum principle, used here as a mathematical instrument in modeling and solving production planning and scheduling problems. The book examines control of production flows rather than sequencing of distinct jobs. Methodologically, this paradigm allows us to progress from initial assumptions about a manufacturing environment, through mathematical models and construction of numerical methods, up to practical applications which prove the relevance of the theory developed here to the real world. Given a manufacturing system, the goal is to control the production, subject to given constraints, in such a way that the demands are tracked as closely as possible. The book considers a wide variety of problems encountered in actual production planning and scheduling. Among the problems are production flow sequencing and timing, capacity expansion and deterioration, subcontracting and overtime. The last chapter is entirely devoted to applications of the theory to scheduling production flows in real-life manufacturing systems. The enclosed disk provides software implementations of the developed methods with easy, convenient user interface. We aimed this book at a student audience - final year undergraduates as weIl as master and Ph. D.

Keywords

Manufacturing Manufacturing System Optimal control Software mechanical engineering modeling numerical methods production scheduling

Authors and affiliations

  • Oded Maimon
    • 1
  • Eugene Khmelnitsky
    • 1
  • Konstantin Kogan
    • 1
  1. 1.Department of Industrial EngineeringTel-Aviv UniversityTel-AvivIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-2834-7
  • Copyright Information Springer-Verlag US 1998
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4799-4
  • Online ISBN 978-1-4757-2834-7
  • Series Print ISSN 1384-6485
  • Buy this book on publisher's site