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Sample-Path Analysis of Queueing Systems

Sample-Path Analysis of Queueing Systems (Hardback, 1999 ed.)

By El-Taha, Muhammad
By Stidham, Shaler, Jr.

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This text 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, path...wise 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 rigour. 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 examples that invoke stochastic assumptions, which typically are presented at the ends of the chapters.
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ISBN 9780792382102
Released NZ 31 Aug 1998
Publisher Springer Us
Format Hardback, 1999 ed.
Alternate Format(s) View All (1 other possible title(s) available)
Series International Series in Operations Research & Management Science (part: 11)
In stock at supplier; delivery usually 20-30 working days due to covid19 delays

Full details for this title

ISBN-13 9780792382102
Stock Available
Status In stock at supplier; delivery usually 20-30 working days due to covid19 delays
Publisher Springer Us
Imprint Springer
Released 31 Aug 1998
Publication Country Netherlands Netherlands
Format Hardback, 1999 ed.
 › 1 other possible formats available
Edition 1999 ed.
Author(s) By El-Taha, Muhammad
By Stidham, Shaler, Jr.
Series International Series in Operations Research & Management Science (part: 11)
Category Non-Fiction (Child / Teen)
Operational Research
Probability & Statistics
Number of Pages 295
Dimensions Width: 155mm
Height: 235mm
Spine: 19mm
Dewey Code 519.82
Weight 1,370g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Business, Mathematical optimization, Distribution (Probability theory, Operations research, Management science
NBS Text Management Techniques
ONIX Text College/higher education;Professional and scholarly