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Titlebook: Queues and Lévy Fluctuation Theory; Krzysztof Dębicki,Michel Mandjes Textbook 2015 Springer International Publishing Switzerland 2015 Lévy

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发表于 2025-3-21 18:32:33 | 显示全部楼层 |阅读模式
书目名称Queues and Lévy Fluctuation Theory
编辑Krzysztof Dębicki,Michel Mandjes
视频video
概述Combines Lévy-based fluctuation theory and queueing theory.Studies the possibilities of fluctuation-theoretic elements and the connection to queues.Applicable for both an applied- and a theory-oriente
丛书名称Universitext
图书封面Titlebook: Queues and Lévy Fluctuation Theory;  Krzysztof Dębicki,Michel Mandjes Textbook 2015 Springer International Publishing Switzerland 2015 Lévy
描述.The book provides an extensive introduction to queueing models driven by Lévy-processes as well as a systematic account of the literature on Lévy-driven queues. The objective is to make the reader familiar with the wide set of probabilistic techniques that have been developed over the past decades, including transform-based techniques, martingales, rate-conservation arguments, change-of-measure, importance sampling, and large deviations. On the application side, it demonstrates how Lévy traffic models arise when modelling current queueing-type systems (as communication networks) and includes applications to finance..Queues and Lévy Fluctuation Theory. will appeal to postgraduate students and researchers in mathematics, computer science, and electrical engineering. Basic prerequisites are probability theory and stochastic processes..
出版日期Textbook 2015
关键词Lévy Processes; Networks; Queues; Tail Asymptotics; Workload Process
版次1
doihttps://doi.org/10.1007/978-3-319-20693-6
isbn_softcover978-3-319-20692-9
isbn_ebook978-3-319-20693-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 23:16:14 | 显示全部楼层
Queues and Lévy Fluctuation Theory978-3-319-20693-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
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Krzysztof Dębicki,Michel MandjesCombines Lévy-based fluctuation theory and queueing theory.Studies the possibilities of fluctuation-theoretic elements and the connection to queues.Applicable for both an applied- and a theory-oriente
发表于 2025-3-22 19:52:05 | 显示全部楼层
,Lévy Processes and Lévy-Driven Queues,cessarily nondecreasing. We also define the special class of spectrally one-sided Lévy inputs, that is, Lévy processes with either only positive jumps or only negative jumps; we will extensively rely on this notion throughout the survey. In addition, this chapter introduces the class of .-stable Lévy motions.
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,Lévy-Driven Tandem Queues,del the joint steady-state workload of both queues is determined, and various special cases are dealt with in more explicit terms (such as the Brownian tandem queue). Also, attention is paid to the joint workload asymptotics, that is, the (bivariate) asymptotics corresponding to the event that both workloads grow large.
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