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Sample-Path Analysis Of Queueing Systems

About The Recent topics such as pathwise stability are also covered in this context. Among other topics of interest it deals with establishing fundamental relations between asymptotic frequencies and averages, pathwise stability, and insensitivity. This book focuses on the first part of the picture

These results are utilized to establish useful performance measures. 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. It does however, provide numerous examples that invoke stochastic assumptions, which typically are presented at the ends of the chapters. Among other topics of interest it deals with establishing fundamental relations between asymptotic frequencies and averages, pathwise stability, and insensitivity. Recent topics such as pathwise stability are also covered in this context. 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. The intuitive deterministic approach of this book will give researchers, teachers, practitioners, and students better insights into many results in queueing theory. Hence, it is devoted to providing pure sample-path arguments. 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. The simplicity and intuitive appeal of the arguments will make these results more accessible, with no sacrifice of mathematical rigor. Generally, in many cases of interest in queueing theory, relations hold, assuming limits exist, and the proofs are elementary and intuitive. The book consistently takes the point of view of focusing on one sample path of a stochastic process. In other cases, proofs of the existence of limits will require the heavy machinery of stochastic processes.

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Sample-Path Analysis Of Queueing Systems

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