Scheduling: Control-Based Theory and Polynomial-Time Algorithms

  • Konstantin Kogan
  • Eugene Khmelnitsky

Part of the Applied Optimization book series (APOP, volume 43)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Konstantin Kogan, Eugene Khmelnitsky
      Pages 3-17
    3. Konstantin Kogan, Eugene Khmelnitsky
      Pages 19-35
  3. One-Machine, One-Product-Type Scheduling

    1. Front Matter
      Pages 37-37
    2. Konstantin Kogan, Eugene Khmelnitsky
      Pages 39-154
    3. Konstantin Kogan, Eugene Khmelnitsky
      Pages 155-282
  4. Multiple Product-Type Scheduling

    1. Front Matter
      Pages 283-283
    2. Konstantin Kogan, Eugene Khmelnitsky
      Pages 285-325
    3. Konstantin Kogan, Eugene Khmelnitsky
      Pages 327-383
    4. Konstantin Kogan, Eugene Khmelnitsky
      Pages 385-391
  5. Back Matter
    Pages 393-397

About this book

Introduction

This book presents a first attempt to systematically collect, classify and solve various continuous-time scheduling problems. The classes of problems distinguish scheduling by the number of machines and products, production constraints and performance measures. Although such classes are usually considered to be a prerogative of only combinatorial scheduling literature, the scheduling methodology suggested in this book is based on two mathematical tools - optimal control and combinatorics. Generally considered as belonging to two totally different areas of research and application, these seemingly irreconcilable tools can be integrated in a unique solution approach with the advantages of both. This new approach provides the possibility of developing effective polynomial-time algorithms to solve the generic scheduling problems. This book is aimed at a student audience - final year undergraduates as well as master and Ph.D. students, primarily in Operations Research, Management, Industrial Engineering and Control Systems. Indeed, some of the material in the book has formed part of the content of undergraduate and graduate courses taught at the Industrial Engineering Department of Tel-Aviv University, the Logistics Department of Bar-Ilan University and the Technology Management Department of Rolon Center for Technological Education, Israel. The book is also useful for practicing engineers interested in planning, scheduling and optimization methods. Since the book addresses the theory and design of computer-based scheduling algorithms, applied mathematicians and computer software specialists engaged in developing scheduling software for industrial engineering and management problems will find that the methods developed here can be embedded very efficiently in large applications.

Keywords

Operations Research algorithm algorithms combinatorics design mathematical programming optimization production programming

Authors and affiliations

  • Konstantin Kogan
    • 1
  • Eugene Khmelnitsky
    • 2
  1. 1.Department of Computer ScienceCenter for Technological EducationHolonIsrael
  2. 2.Department of Industrial EngineeringTel-Aviv UniversityTel-AvivIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-4675-7
  • Copyright Information Springer-Verlag US 2000
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7116-8
  • Online ISBN 978-1-4615-4675-7
  • Series Print ISSN 1384-6485
  • About this book