An Introduction to Queueing Theory: and Matrix-Analytic Methods - Brossura

Breuer, L.; Baum, Dieter

Brossura

ISBN 10: 9048169135 ISBN 13: 9789048169139

Casa editrice: Springer, 2010

Riassunto

This textbook contains a two-semester course on queueing theory, including an introduction to matrix-analytic methods. Its purpose is to present concrete queueing models and their applications, while providing a sound mathematical foundation for their analysis. A prominent part of the book will be devoted to matrix-analytic methods: a collection of approaches which extend the applicability of Markov renewal methods to queueing theory by introducing a finite number of auxiliary states. The text is geared to last year undergraduate and first year graduate students of applied probability and computer science, who have completed an introduction to probability theory.

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Recensione

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)

Contenuti

Queues: The Art of Modelling.- Markov Chains and Queues in Discrete Time.- Homogeneous Markov Processes on Discrete State Spaces.- Markovian Queues in Continuous Time.- Markovian Queueing Networks.- Renewal Theory.- Markov Renewal Theory.- Semi-Markovian Queues.- Phase-Type Distributions.- Markovian Arrival Processes.- The GI/PH/1 Queue.- The BMAP/G/1 Queue.- Discrete Time Approaches.- Spatial Markovian Arrival Processes.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9048169135
• ISBN 13: 9789048169139
• Rilegatura: Copertina flessibile
• Numero di pagine: 288
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania