An Introduction to Queueing Theory and Matrix-Analytic Methods

  • L. Breuer
  • D. Baum

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Queues: The Art of Modelling

  3. Markovian Methods

  4. Semi-Markovian Methods

    1. Pages 113-134
    2. Pages 135-146
    3. Pages 147-166
  5. Matrix-Analytic Methods

    1. Pages 169-184
    2. Pages 197-212
    3. Pages 213-227
    4. Pages 229-238
    5. Pages 253-261
  6. Back Matter
    Pages 263-271

About this book

Introduction

The present textbook contains the recordsof a two–semester course on que- ing theory, including an introduction to matrix–analytic methods. This course comprises four hours oflectures and two hours of exercises per week andhas been taughtattheUniversity of Trier, Germany, for about ten years in - quence. The course is directed to last year undergraduate and?rst year gr- uate students of applied probability and computer science, who have already completed an introduction to probability theory. Its purpose is to present - terial that is close enough to concrete queueing models and their applications, while providing a sound mathematical foundation for the analysis of these. Thus the goal of the present book is two–fold. On the one hand, students who are mainly interested in applications easily feel bored by elaborate mathematical questions in the theory of stochastic processes. The presentation of the mathematical foundations in our courses is chosen to cover only the necessary results, which are needed for a solid foundation of the methods of queueing analysis. Further, students oriented - wards applications expect to have a justi?cation for their mathematical efforts in terms of immediate use in queueing analysis. This is the main reason why we have decided to introduce new mathematical concepts only when they will be used in the immediate sequel. On the other hand, students of applied probability do not want any heur- tic derivations just for the sake of yielding fast results for the model at hand.

Keywords

Markov Probability theory brandonwiskunde computer computer science modeling queueing theory

Authors and affiliations

  • L. Breuer
    • 1
  • D. Baum
    • 1
  1. 1.University of TrierGermany

Bibliographic information

  • DOI https://doi.org/10.1007/1-4020-3631-0
  • Copyright Information Springer 2005
  • Publisher Name Springer, Dordrecht
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4020-3630-9
  • Online ISBN 978-1-4020-3631-6
  • About this book