The book is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self containing introduction to the stochastic processes of the later studies queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. 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). The next 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, ATM switches, 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.

Itisourgreatpleasuretopresenttheproceedingsofthe15thInternationalConf- ence on Analytical and Stochastic Modelling Techniques and Applications (ASMTA2008)thattookplaceonthebeautifulislandofCyprusforthe?rsttime. The conference has become an important annual event in the ?elds of - alytical modelling and performance evaluation in Europe and internationally. Nevertheless, e?orts have been made year after year to raise the standard and the quality of the programme.This yearthe proceedings are published as partof Springer's prestigiousLecture Notes in Computer Science (LNCS) series. This is another sign of the growing con?dence in the quality standards and procedures followed in the reviewing process and the programme compilation. The conference was honored to have a distinguished keynote speaker in the personofRaymondMariefromIRISA/INRIA, France, whoisaprominent?gure ofthe analyticalmodellingcommunity inEuropeandworldwide.The conference had a high-qualityprogrammewith anacceptanceratio of 40%.The programme comprised 22 high-quality papers organized into 7 sessions. Almost every paper was peer reviewed by three reviewers from the International Programme C- mittee. The reviewers were truly wonderful this year, as well, and in most cases the reviewsprovidedvaluable comments thatcontributedto increasingthe qu- ity of the ?nal versions of the papers. In many cases, discussion panels were also organized when the reviews were not decisive. We would therefore like to give a special thanks to all the members of the International Programme Committee for the excellent work in the reviewing process and the subsequent discussion panels during the selection process.

This book constitutes the refereed proceedings of the Third European Performance Engineering Workshop, EPEW 2006, held in Budapest, Hungary in June 2006. The 16 revised full papers presented were carefully reviewed and selected from 40 submissions. The papers are organized in topical sections on stochastic process algebra, workloads and benchmarks, theory of stochastic processes, formal dependability and performance evaluation, as well as queues, theory and practice.

The book is the extended and revised version of the 1st edition and is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self-containing introduction to the stochastic processes of the later studied queueing systems. It starts with a quick introduction to probability theory and stochastic processes and continues with chapters on Markov chains and regenerative processes. More recent advances of queueing systems are based on phase type distributions, Markov arrival processes and quasy birth death processes, which are introduced in the last chapter of the first part. 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). The next 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