Sample Path Analysis of Queueing Systems

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.

Sample Path Analysis of Queueing Systems

Sample Path Analysis of Queueing Systems

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.

More Books:

Sample-Path Analysis of Queueing Systems
Language: en
Pages: 295
Authors: Muhammad El-Taha, Shaler Stidham Jr.
Categories: Business & Economics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Sample-path Analysis of Queueing Systems
Language: en
Pages: 282
Authors: Muhammad A. El-Taha
Categories: Business & Economics
Type: BOOK - Published: 1986 - Publisher:

Books about Sample-path Analysis of Queueing Systems
Sample Path Analysis of Queueing Systems: New Results
Language: en
Pages:
Authors: Muhammad Ahmad el Taha
Categories: Business & Economics
Type: BOOK - Published: 1987 - Publisher:

Books about Sample Path Analysis of Queueing Systems: New Results
Sample Path Analysis and Control of Finite Capacity Queueing Systems
Language: en
Pages: 432
Authors: Panayotis D. Sparaggis
Categories: Path analysis (Statistics)
Type: BOOK - Published: 1994 - Publisher:

Books about Sample Path Analysis and Control of Finite Capacity Queueing Systems
Sample Path Analysis of Stochastic Processes
Language: en
Pages: 180
Authors: Chaitanya N. Garikiparthi, Appie van de Liefvoort
Categories: Queuing theory
Type: BOOK - Published: 2008 - Publisher:

A number of processes that occur in nature as well as those that are manifestations of human activities are correlated in nature and can be describe by stochastic non-Markovian processes. Most known theoretical results for these systems are in the steady state domain, assuming that the system has been in

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