Sample-Path Analysis of Queueing Systems

Muhammad El-Taha|Shaler Stidham Jr.

ISBN 10: 0792382102 / ISBN 13: 9780792382102

Published by Springer US, 1998

About this Item

Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Sample-Path Analysis of Queueing Systems uses a deterministic (sample-path) approach to analyze stochastic systems, primarily queueing systems and more general input-output systems. Among other topics of interest it deals with establishing funda. Seller Inventory # 5970753

Bibliographic Details

Title: Sample-Path Analysis of Queueing Systems

Publisher: Springer US

Publication Date: 1998

Binding: Gebunden

Condition: New

About this title

Synopsis:

Sample-Path Analysis of Queueing Systems uses a deterministic (sample-path) approach to analyze stochastic systems, primarily queueing systems and more general input-output systems. Among other topics of interest it deals with establishing fundamental relations between asymptotic frequencies and averages, pathwise stability, and insensitivity. These results are utilized to establish useful performance measures. The intuitive deterministic approach of this book will give researchers, teachers, practitioners, and students better insights into many results in queueing theory. The simplicity and intuitive appeal of the arguments will make these results more accessible, with no sacrifice of mathematical rigor. Recent topics such as pathwise stability are also covered in this context.
The book consistently takes the point of view of focusing on one sample path of a stochastic process. Hence, it is devoted to providing pure sample-path arguments. With this approach it is possible to separate the issue of the validity of a relationship from issues of existence of limits and/or construction of stationary framework. Generally, in many cases of interest in queueing theory, relations hold, assuming limits exist, and the proofs are elementary and intuitive. In other cases, proofs of the existence of limits will require the heavy machinery of stochastic processes. The authors feel that sample-path analysis can be best used to provide general results that are independent of stochastic assumptions, complemented by use of probabilistic arguments to carry out a more detailed analysis. This book focuses on the first part of the picture. It does however, provide numerous examples that invoke stochastic assumptions, which typically are presented at the ends of the chapters.

Review:

` ... it contains a wealth of useful material for those giving courses in stochastic processes at all levels, and its extremely readable style makes it suitable for anyone with previous exposure to basic probability and stochastic processes.'
Short Book Reviews, 19:2 (1999)
`... this monograph is well written, fairly comprehensive and a welcome addition to the growing number of books on queuing theory. It is of interest to a wide audience of operations researchers, applied probabilists and engineers.'
Mathematical reviews, 2002d