An Introduction to Queueing Theory
and Matrix-Analytic Methods
Buch in deiner Nähe kaufen
Beschreibung
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.
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
Autor*in
L. Breuer
Themen in »An Introduction to Queueing Theory«
Markov Probability theory brandonwiskunde computer computer science modeling queueing theory
Stimmen zu »An Introduction to Queueing Theory«
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)
()