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Titlebook: Stochastic Networks and Queues; Philippe Robert Book 2003 Springer-Verlag Berlin Heidelberg 2003 Applied stochastic calculus.Ergodic theor

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书目名称Stochastic Networks and Queues
编辑Philippe Robert
视频video
概述uses the full strength of stochastic calculus methods applied to networks.detailed presentation of most classical queueing models.new material on scaling methods, fluid limits are thoroughly presented
丛书名称Stochastic Modelling and Applied Probability
图书封面Titlebook: Stochastic Networks and Queues;  Philippe Robert Book 2003 Springer-Verlag Berlin Heidelberg 2003 Applied stochastic calculus.Ergodic theor
描述.Queues and stochastic networks are analyzed in this book with purely probabilistic methods. The purpose of these lectures is to show that general results from Markov processes, martingales or ergodic theory can be used directly to study the corresponding stochastic processes. Recent developments have shown that, instead of having ad-hoc methods, a better understanding of fundamental results on stochastic processes is crucial to study the complex behavior of stochastic networks....In this book, various aspects of these stochastic models are investigated in depth in an elementary way: Existence of equilibrium, characterization of stationary regimes, transient behaviors (rare events, hitting times) and critical regimes, etc. A simple presentation of stationary point processes and Palm measures is given. Scaling methods and functional limit theorems are a major theme of this book. In particular, a complete chapter is devoted to fluid limits of Markov processes..
出版日期Book 2003
关键词Applied stochastic calculus; Ergodic theory; Fluid limits; M/M/1 queue; Martingale; Poisson process; Queue
版次1
doihttps://doi.org/10.1007/978-3-662-13052-0
isbn_softcover978-3-642-05625-3
isbn_ebook978-3-662-13052-0Series ISSN 0172-4568 Series E-ISSN 2197-439X
issn_series 0172-4568
copyrightSpringer-Verlag Berlin Heidelberg 2003
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Philippe Robertls and these signals are analyzedbyestablishedmethodsintwo-dimensionalsignalprocessingtheory. Another common processing procedure employs tree structures such as qu- trees for two-dimensional images and oct-trees for three-di978-3-540-36115-2978-3-540-36116-9Series ISSN 0170-8643 Series E-ISSN 1610-7411
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Recurrence and Transience of Markov Chains,ations due to Lyapunov. in 1892. In a stochastic context, the first results of this type are apparently due to Khasminskii for diffusions (see Khasminskii [.]). The stability criterion by Lyapunov is recalled at the end of the chapter (see Hirsch and Smale [.] for a detailed presentation of these qu
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Rescaled Markov Processes and Fluid Limits,stochastic processes is analyzed when the scaling parameter goes to infinity. In the limit one gets a sort of caricature of the initial stochastic process which is defined as a . (see the rigorous definition below). As it will be seen, a fluid limit keeps the main characteristics of the initial stoc
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