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© 1976

Stochastic Processes in Queueing Theory

Book

Part of the Applications of Mathematics book series (SMAP, volume 4)

About this book

Introduction

The object of queueing theory (or the theory of mass service) is the investigation of stochastic processes of a special form which are called queueing (or service) processes in this book. Two approaches to the definition of these processes are possible depending on the direction of investigation. In accordance with this fact, the exposition of the subject can be broken up into two self-contained parts. The first of these forms the content of this monograph. . The definition of the queueing processes (systems) to be used here is dose to the traditional one and is connected with the introduction of so-called governing random sequences. We will introduce algorithms which describe the governing of a system with the aid of such sequences. Such a definition inevitably becomes rather qualitative since under these conditions a completely formal construction of a stochastic process uniquely describing the evolution of the system would require introduction of a complicated phase space not to mention the difficulties of giving the distribution of such a process on this phase space.

Keywords

Stochastic processes Stochastischer Prozess Warteschlange queueing theory stochastic process

Authors and affiliations

  1. 1.Akademie der Wissenschaften der UDSSRSibirische Abteilung Math InsistuteNovosibirskUSSR

Bibliographic information

  • Book Title Stochastic Processes in Queueing Theory
  • Authors Alexandr Borovkov
  • Series Title Applications of Mathematics
  • DOI https://doi.org/10.1007/978-1-4612-9866-3
  • Copyright Information Springer-Verlag New York 1976
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-90161-9
  • Softcover ISBN 978-1-4612-9868-7
  • eBook ISBN 978-1-4612-9866-3
  • Series ISSN 0172-4568
  • Edition Number 1
  • Number of Pages XI, 280
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Title of the original Russian edition: Verojatnostnye processy v teorii massovogo obluzivanija
  • Topics Probability Theory and Stochastic Processes
  • Buy this book on publisher's site
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