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Stochastic Processes in Queueing Theory

  • Book
  • © 1976

Overview

Authors:
  1. A. A. Borovkov

    1. Akademie der Wissenschaften der UDSSR, Sibirische Abteilung Math Insistute, Novosibirsk, USSR

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Part of the book series: Stochastic Modelling and Applied Probability (SMAP, volume 4)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction

    • A. A. Borovkov
    Pages 1-3

  3. Systems with Queues and Service of Type One

    • A. A. Borovkov
    Pages 4-63

  4. Some Boundary Problems for Processes Continuous from below with Independent Increments. Their Connection with the Distribution of w(t)

    • A. A. Borovkov
    Pages 64-84

  5. Boundary Problems for Sequences with Independent Increments and Factorization Identities

    • A. A. Borovkov
    Pages 85-102

  6. Properties of the Supremum of Sums of Independent Random Variables and Related Problems of Queueing Theory

    • A. A. Borovkov
    Pages 103-160

  7. Multi-Channel Queueing Systems

    • A. A. Borovkov
    Pages 161-184

  8. The Systems ‹G, G, G/∞, 1› with an Infinite Number of Service Channels

    • A. A. Borovkov
    Pages 185-201

  9. Systems with Refusals

    • A. A. Borovkov
    Pages 202-234

  10. Systems with Autonomous Service

    • A. A. Borovkov
    Pages 235-242

  11. Back Matter

    Pages 243-280
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Keywords

About this book

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.

Authors and Affiliations

  • Akademie der Wissenschaften der UDSSR, Sibirische Abteilung Math Insistute, Novosibirsk, USSR

    A. A. Borovkov

Bibliographic Information

  • Book Title: Stochastic Processes in Queueing Theory

  • Authors: A. A. Borovkov

  • Series Title: Stochastic Modelling and Applied Probability

  • DOI: https://doi.org/10.1007/978-1-4612-9866-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1976

  • Softcover ISBN: 978-1-4612-9868-7Published: 21 October 2011

  • eBook ISBN: 978-1-4612-9866-3Published: 06 December 2012

  • Series ISSN: 0172-4568

  • Series E-ISSN: 2197-439X

  • Edition Number: 1

  • Number of Pages: XI, 280

  • Additional Information: Title of the original Russian edition: Verojatnostnye processy v teorii massovogo obluzivanija

  • Topics: Probability Theory and Stochastic Processes

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