Optimal Flow Control in Manufacturing Systems

1. Front Matter

   Pages i-xv

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2. Basic Concepts

   1. Front Matter

      Pages 1-1

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   2. Introduction

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 3-9

   3. Mathematical Fundamentals of Optimal Control

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 11-55

3. Flow Control in Production Planning

   1. Front Matter

      Pages 57-57

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   2. One-Item Single-Facility Aggregate Production Planning Problems

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 59-84

   3. Production Planning At Different Levels Of Aggregation

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 85-116

4. Flow Control in Scheduling

   1. Front Matter

      Pages 117-117

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   2. Modeling Production Systems With Multi-Level Bills Of Materials

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 119-137

   3. Necessary Optimality Conditions for Scheduling Problems

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 139-206

   4. Solution Methods

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 207-267

5. Scheduling Implementation

   1. Front Matter

      Pages 269-269

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   2. Implementation Methodology

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 271-286

   3. Cases of Practical Scheduling

      • Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

      Pages 287-344

6. Back Matter

   Pages 345-348

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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.

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

`Overall, the book provides an excellent, up-to-date overview of continous-time, deterministic models for production planning and scheduling. It is a book that your university library should certainly have, and which is well worth owning if you are interested in research or applications in this area.'
Automatica, Vol.37 (2001)

• Department of Industrial Engineering, Tel-Aviv University, Tel-Aviv, Israel

  Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

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