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  • © 2019

Introduction to Queueing Systems with Telecommunication Applications

  • Examples from modern communication system
  • Accurately established mathematical background (part 1), with intuitive explanations for queueing applications (part 2) Guidelines for application of queueing theory in practice
  • Will serve as a useful reference to quickly look up a theorem or proof

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introduction to Probability Theory and Stochastic Processes

    1. Front Matter

      Pages 1-1
    2. Introduction to Probability Theory

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 3-62
    3. Introduction to Stochastic Processes

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 63-91
    4. Markov Chains

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 93-177
    5. Renewal and Regenerative Processes

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 179-226
    6. Markov Chains with Special Structures

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 227-281
  3. Queueing Systems

    1. Front Matter

      Pages 283-283
    2. Introduction to Queueing Systems

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 285-297
    3. Markovian Queueing Systems

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 299-334
    4. Non-Markovian Queueing Systems

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 335-386
    5. Queueing Systems with Structured Markov Chains

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 387-419
    6. Queueing Networks

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 421-444
    7. Applied Queueing Systems

      • László Lakatos, László Szeidl, Miklós Telek
      Pages 445-545
  4. Back Matter

    Pages 547-559

About this book

The book is the extended and revised version of the 1st edition and is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self-containing introduction to the stochastic processes of the later studied queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part.


The second part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with  phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). Thenext chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems.

An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences.


Reviews of first edition:


"The organization of the book is such that queueing models are viewed as special cases of more general stochastic processes, such as birth-death or semi-Markov processes. … this book is a valuable addition to the queuing literature and provides instructors with a viable alternative for a textbook to be used in a one- or two-semester course on queueing models, at the upper undergraduate or beginning graduate levels."


Charles Knessl, SIAM Review, Vol. 56 (1), March, 2014

Authors and Affiliations

  • Eotvos Lorant University, Budapest, Hungary

    László Lakatos

  • Obuda University, Budapest, Hungary

    László Szeidl

  • Technical University of Budapest, Budapest, Hungary

    Miklós Telek

About the authors

The authors of this book have been doing research and modeling in the theoretical and practical field of queuing theory for several decades, and teaching in both BSc, MSc and doctoral programs at the Faculty of Informatics, E¨otv¨os Lor´and University, Faculty of Engineering Sciences, Sz´echenyi Istv´an University and the Faculty of Electrical Engineering and Informatics, Budapest University of Technology and Economics (all located in Hungary).

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 84.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access