# An Introduction to Queueing Theory and Matrix-Analytic Methods

Textbook

1. Front Matter
Pages i-xiv

1. Pages 1-7
3. ### Markovian Methods

1. Pages 11-38
2. Pages 51-62
3. Pages 63-109
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 185-196
3. Pages 197-212
4. Pages 213-227
5. Pages 229-238
6. Pages 239-251
7. Pages 253-261
6. Back Matter
Pages 263-271

### 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

1. 1.University of TrierGermany

### Bibliographic information

• Book Title An Introduction to Queueing Theory and Matrix-Analytic Methods
• Authors L. Breuer
Dieter Baum
• DOI https://doi.org/10.1007/1-4020-3631-0
• Publisher Name Springer, Dordrecht
• eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
• Hardcover ISBN 978-1-4020-3630-9
• Softcover ISBN 978-90-481-6913-9
• eBook ISBN 978-1-4020-3631-6
• Edition Number 1
• Number of Pages XIV, 272
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
Industry Sectors
Pharma
Biotechnology
IT & Software
Telecommunications