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Sample-Path Analysis of Queueing Systems
 

Sample-Path Analysis of Queueing Systems (Trade Paperback / Paperback, Softcover reprint of the original 1st ed. 1999)

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

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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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ISBN 9781461376200
Released NZ 8 Oct 2012
Publisher Springer Us
Format Trade Paperback/Paperback, Softcover reprint of the original 1st ed. 1999
Alternate Format(s) View All (1 other possible title(s) available)
Series International Series in Operations Research & Management Science (part: 11)
Availability
In stock at supplier; delivery usually 20-30 working days due to covid19 delays

Full details for this title

ISBN-13 9781461376200
Stock Available
Status In stock at supplier; delivery usually 20-30 working days due to covid19 delays
Publisher Springer Us
Imprint Springer
Released 8 Oct 2012
Publication Country United States United States
Format Trade Paperback/Paperback, Softcover reprint of the original 1st ed. 1999
 › 1 other possible formats available
Edition Softcover reprint of the original 1st ed. 1999th
Author(s) By El-Taha, Muhammad
By Stidham Jr., Shaler
Series International Series in Operations Research & Management Science (part: 11)
Category Operational Research
Probability & Statistics
Optimization
Number of Pages 295
Dimensions Width: 155mm
Height: 235mm
Spine: 16mm
Dewey Code 658.4034
Weight 480g
Interest Age General Audience
Reading Age General Audience
Library of Congress Business, Mathematical optimization, Distribution (Probability theory, Operations research, Management science
NBS Text Management & Business: General
ONIX Text Professional and scholarly

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