
Introduction to Queueing Systems with Telecommunication Applications
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The second part is devoted to queueing models and their applications. After the introduction of the basic Markovian (from M/M/1 to M/M/1//N) and non-Markovian (M/G/1, G/M/1) queueing systems, a chapter presents the analysis of queues with phase type distributions, Markov arrival processes (from PH/M/1 to MAP/PH/1/K). Thenext chapter presents the classical queueing network results and the rest of this part is devoted to the application examples. There are queueing models for bandwidth charing with different traffic classes, slotted multiplexers, media access protocols like Aloha and IEEE 802.11b, priority systems and retrial systems.
An appendix supplements the technical content with Laplace and z transformation rules, Bessel functions and a list of notations. The book contains examples and exercises throughout and could be used for graduate students in engineering, mathematics and sciences.
Reviews of first edition:
"The organization of the book is such that queueing models are viewed as special cases of more general stochastic processes, such as birth-death or semi-Markov processes. . this book is a valuable addition to the queuing literature and provides instructors with a viable alternative for a textbook to be used in a one- or two-semester course on queueing models, at the upper undergraduate or beginning graduate levels."
Charles Knessl, SIAM Review, Vol. 56 (1), March, 2014
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Content
Preface.- Introduction to probability theory.- Introduction to stochastic processes.- Markov chains.- Renewal and regenerative processes.- Markov chains with special structures.- Introduction to queueing systems.- Markovian queueing systems.- Non-Markovian queueing systems.- Queueing systems with structured Markov chains.- Queueing networks.- Applied queueing systems.- Functions and transforms.- Index.
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