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Titlebook: Sample-Path Analysis of Queueing Systems; Muhammad El-Taha,Shaler Stidham Book 1999 Springer Science+Business Media New York 1999 Ergodic

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书目名称Sample-Path Analysis of Queueing Systems
编辑Muhammad El-Taha,Shaler Stidham
视频video
丛书名称International Series in Operations Research & Management Science
图书封面Titlebook: Sample-Path Analysis of Queueing Systems;  Muhammad El-Taha,Shaler Stidham Book 1999 Springer Science+Business Media New York 1999 Ergodic
描述.Sample-Path Analysis of Queueing Systems. uses adeterministic (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 fundamentalrelations between asymptotic frequencies and averages, pathwisestability, and insensitivity. These results are utilized to establishuseful performance measures. The intuitive deterministic approach ofthis book will give researchers, teachers, practitioners, and studentsbetter insights into many results in queueing theory. The simplicityand intuitive appeal of the arguments will make these results moreaccessible, with no sacrifice of mathematical rigor. Recent topicssuch as pathwise stability are also covered in this context. .The book consistently takes the point of view of focusing on onesample path of a stochastic process. Hence, it is devoted to providingpure sample-path arguments. With this approach it is possible toseparate the issue of the validity of a relationship from issues ofexistence of limits and/or construction of stationary framework.Generally, in many cases of interest in queueing theory, relationshold, assuming limits e
出版日期Book 1999
关键词Ergodic theory; Stochastic model; Stochastic models; Stochastic processes; calculus; point process; queuei
版次1
doihttps://doi.org/10.1007/978-1-4615-5721-0
isbn_softcover978-1-4613-7620-0
isbn_ebook978-1-4615-5721-0Series ISSN 0884-8289 Series E-ISSN 2214-7934
issn_series 0884-8289
copyrightSpringer Science+Business Media New York 1999
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International Series in Operations Research & Management Sciencehttp://image.papertrans.cn/s/image/860734.jpg
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978-1-4613-7620-0Springer Science+Business Media New York 1999
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Introduction and Overview,ally imposed probabilistic assumptions. By its very nature a sample-path argument is deterministic and therefore requires no probabilistic assumptions. By focusing attention on a particular sample path, we are in effect assuming that the behavior of the system over time is completely known to us; thus probabilistic arguments are irrelevant.
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Sample-Path Stability,distribution of the state or the fraction of time spent in various states do not change over time. By contrast, in an unstable system such limits do not exist. More drastically, the state (e.g., the number of customers or work in a queueing system) can grow without bound when the system is unstable.
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