Sample-Path Analysis of Queueing Systems

Name: Sample-Path Analysis of Queueing Systems
Brand: Springer-Verlag New York Inc.
SKU: 9781461376200
Price: 829.32 RON
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Autor: Muhammad El-Taha, Shaler Stidham

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Editura: Springer-Verlag New York Inc.

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Sample-Path Analysis of Queueing Systems uses a deterministic (sample-path) approach to analyze stoc...

Informații despre carte

Autor

Muhammad El-Taha, Shaler Stidham

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2012

Pagini

295

EAN

9781461376200

ISBN

1461376203

Enbook ID

06797005

Editura

Springer-Verlag New York Inc.

Greutate

480

Dimensiuni

155 x 235 x 17

Descriere completă

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.

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