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Stability Analysis of Regenerative Queueing Models

Mathematical Methods and Applications

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  • Offers a unified approach and addresses theoretical foundations

  • Focuses on the stability analysis of queueing systems by means of a regenerative approach

  • Provides many simple problems to help readers develop the basic skills required for these and related areas

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USD 149.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-82438-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
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  • Tax calculation will be finalised during checkout
Hardcover Book
USD 199.99
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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • Evsey Morozov, Bart Steyaert
    Pages 1-14
  3. The Classical GI/G/1 and GI/G/m Queueing Systems

    • Evsey Morozov, Bart Steyaert
    Pages 15-52
  4. Tightness and Monotonicity

    • Evsey Morozov, Bart Steyaert
    Pages 53-66
  5. Generalizations of Multiserver Systems

    • Evsey Morozov, Bart Steyaert
    Pages 67-93
  6. State-Dependent Systems

    • Evsey Morozov, Bart Steyaert
    Pages 95-105
  7. N-Models

    • Evsey Morozov, Bart Steyaert
    Pages 107-128
  8. Multiclass Retrial Systems with Constant Retrial Rates

    • Evsey Morozov, Bart Steyaert
    Pages 129-148
  9. Systems with State-Dependent Retrial Rates

    • Evsey Morozov, Bart Steyaert
    Pages 149-158
  10. A Multiclass Multiserver System with Classical Retrials

    • Evsey Morozov, Bart Steyaert
    Pages 159-166
  11. Other Related Models

    • Evsey Morozov, Bart Steyaert
    Pages 167-182
  12. Back Matter

    Pages 183-185

About this book

The stability analysis of stochastic models for telecommunication systems is an intensively studied topic. The analysis is, as a rule, a difficult problem requiring a refined mathematical technique, especially when one endeavors beyond the framework of Markovian models. 

The primary purpose of this book is to present, in a unified way, research into the stability analysis of a wide variety of regenerative queueing systems. It describes the theoretical foundations of this method, and then shows how it works with particular models, both classic ones as well as more recent models that have received attention. The focus lies on an in-depth and insightful mathematical explanation of the regenerative stability analysis method.

Topics and features:

  • Offers a unified approach and addresses theoretical foundations
  • Focuses on the stability analysis of queueing systems by means of a regenerative approach
  • Provides many simple problems to help readers develop the basic skills 
  • Presents an in-depth and insightful mathematical explanation
  • Covers the stability analysis of a wide variety of queueing models

The unique volume can serve as a textbook for students working in these and related scientific areas. The material is also of interest to engineers working in telecommunications field, who may be faced with the problem of stability of queueing systems.

Prof. Evsey Morozov is a chief researcher at the Institute of Applied Mathematical Research of the Karelian Research Centre, Russian Academy of Sciences, and professor at the Institute of Mathematics and Information Technologies at Petrozavodsk State University, Petrozavodsk, Russia. Dr. Bart Steyaert has been working as a researcher at the SMACS Research Group, Department TELIN, at Ghent University, Belgium.

Keywords

  • Queueing Systems
  • Regeneration
  • Stability
  • Renewal Process
  • Balance Equations
  • Multiclass Systems
  • Multiserver Systems
  • Retrial Systems
  • State-Dependent Systems

Authors and Affiliations

  • Institute of Applied Mathematical Research, Karelian Research Centre, Petrozavodsk, Russia

    Evsey Morozov

  • Department of Telecommunications and Information Processing, Ghent University, Ghent, Belgium

    Bart Steyaert

About the authors

Prof. Evsey Morozov is a chief researcher at the Institute of Applied Mathematical Research of the Karelian Research Centre, Russian Academy of Sciences, and professor at the Institute of Mathematics and Information Technologies  at Petrozavodsk State University, Petrozavodsk, Russia. 

Dr. Bart Steyaert has been working as a researcher at the SMACS Research Group, Department TELIN, at Ghent University, Belgium..


Bibliographic Information

  • Book Title: Stability Analysis of Regenerative Queueing Models

  • Book Subtitle: Mathematical Methods and Applications

  • Authors: Evsey Morozov, Bart Steyaert

  • DOI: https://doi.org/10.1007/978-3-030-82438-9

  • Publisher: Springer Cham

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-82437-2

  • eBook ISBN: 978-3-030-82438-9

  • Edition Number: 1

  • Number of Pages: XI, 185

  • Number of Illustrations: 24 b/w illustrations

  • Topics: Computer Communication Networks, Queueing Theory, Probability Theory, Computer Networks

Buying options

eBook
USD 149.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-82438-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book
USD 199.99
Price excludes VAT (USA)