Mathematical Methods in Queuing Theory

  • Vladimir V. Kalashnikov

Part of the Mathematics and Its Applications book series (MAIA, volume 271)

Table of contents

  1. Front Matter
    Pages i-4
  2. Vladimir V. Kalashnikov
    Pages 5-15
  3. Vladimir V. Kalashnikov
    Pages 54-79
  4. Vladimir V. Kalashnikov
    Pages 80-102
  5. Vladimir V. Kalashnikov
    Pages 103-162
  6. Vladimir V. Kalashnikov
    Pages 163-200
  7. Vladimir V. Kalashnikov
    Pages 201-232
  8. Vladimir V. Kalashnikov
    Pages 233-260
  9. Vladimir V. Kalashnikov
    Pages 261-295
  10. Vladimir V. Kalashnikov
    Pages 296-321
  11. Vladimir V. Kalashnikov
    Pages 322-363
  12. Back Matter
    Pages 364-381

About this book

Introduction

The material of this book is based on several courses which have been delivered for a long time at the Moscow Institute for Physics and Technology. Some parts have formed the subject of lectures given at various universities throughout the world: Freie Universitat of Berlin, Chalmers University of Technology and the University of Goteborg, University of California at Santa Barbara and others. The subject of the book is the theory of queues. This theory, as a mathematical discipline, begins with the work of A. Erlang, who examined a model of a telephone station and obtained the famous formula for the distribution of the number of busy lines which is named after him. Queueing theory has been applied to the study of numerous models: emergency aid, road traffic, computer systems, etc. Besides, it has lead to several related disciplines such as reliability and inventory theories which deal with similar models. Nevertheless, many parts of the theory of queues were developed as a "pure science" with no practical applications. The aim of this book is to give the reader an insight into the mathematical methods which can be used in queueing theory and to present examples of solving problems with the help of these methods. Of course, the choice of the methods is quite subjective. Thus, many prominent results have not even been mentioned.

Keywords

Markov Chains Markov chain Markov process operations research regenerative process

Authors and affiliations

  • Vladimir V. Kalashnikov
    • 1
  1. 1.Institute for System StudiesMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-2197-4
  • Copyright Information Springer Science+Business Media B.V. 1994
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4339-9
  • Online ISBN 978-94-017-2197-4
  • About this book
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