Overview
- Provides a systematic introduction to queueing theory within the framework of Markov renewal theory
- Covers phase-type distributions, Markovian arrival processes, the GI/PH/1 and BMAP/G/1 queues as well as QBDs and discrete time approaches
- This is the first textbook that contains an extensive presentation of matrix-analytic methods as a natural extension of classical methods
- Concise style makes it suitable for the blueprint of a lecture script
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Table of contents (15 chapters)
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Queues: The Art of Modelling
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Semi-Markovian Methods
Keywords
About this book
Reviews
From the reviews:
"This book provides a mathematical introduction to the theory of queuing theory and matrix-analytic methods … . The style of the text … is concise and rigorous. The proofs are presented for study. Each chapter concludes with a set of exercises inviting readers to prove supplementary results and review particular aspects of the theory. … I have found this to be a useful reference text and would recommend it to those wishing to delve into the mathematical theory of basic queuing theory." (Michael NG, SIAM Review, Vol. 48 (3), 2006)
"The book under review attempts to give an introduction to the theory of queues without losing contact with its applicability. … For instructors who prefer the topics covered, this book is a nice candidate as they do not need to choose the topics but only need to elaborate on them. Nevertheless, it would be a good reference book for an introductory course in queuing theory, stochastic modelling, or applied probability, and a valuable one to add to a professional’s bookshelf." (N. Selvaraju, Mathematical Reviews, Issue 2007 c)
Authors and Affiliations
Bibliographic Information
Book Title: An Introduction to Queueing Theory
Book Subtitle: and Matrix-Analytic Methods
Authors: L. Breuer, D. Baum
DOI: https://doi.org/10.1007/1-4020-3631-0
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2005
Hardcover ISBN: 978-1-4020-3630-9Published: 07 November 2005
Softcover ISBN: 978-90-481-6913-9Published: 19 October 2010
eBook ISBN: 978-1-4020-3631-6Published: 23 February 2006
Edition Number: 1
Number of Pages: XIV, 272
Topics: Probability Theory and Stochastic Processes, Computer Communication Networks, Theory of Computation, System Performance and Evaluation, Probability and Statistics in Computer Science, Mathematical Modeling and Industrial Mathematics