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Titlebook: Computational Probability; Winfried K. Grassmann Book 2000 Springer Science+Business Media New York 2000 Markov Chains.Markov chain.Markov

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发表于 2025-3-21 19:27:09 | 显示全部楼层 |阅读模式
书目名称Computational Probability
编辑Winfried K. Grassmann
视频video
丛书名称International Series in Operations Research & Management Science
图书封面Titlebook: Computational Probability;  Winfried K. Grassmann Book 2000 Springer Science+Business Media New York 2000 Markov Chains.Markov chain.Markov
描述Great advances have been made in recent years in the field ofcomputational probability. In particular, the state of the art- as it relates to queuing systems, stochastic Petri-nets andsystems dealing with reliability - has benefited significantlyfrom these advances. The objective of this book is to make thesetopics accessible to researchers, graduate students, andpractitioners. Great care was taken to make the exposition as clear aspossible. Every line in the book has been evaluated, and changes havebeen made whenever it was felt that the initial exposition was notclear enough for the intended readership. .The work of major research scholars in this field comprises theindividual chapters of .Computational Probability.. The firstchapter describes, in nonmathematical terms, the challenges incomputational probability. Chapter 2 describes the methodologiesavailable for obtaining the transition matrices for Markov chains,with particular emphasis on stochastic Petri-nets. Chapter 3 discusseshow to find transient probabilities and transient rewards for theseMarkov chains. The next two chapters indicate how to find steady-stateprobabilities for Markov chains with a finite number of states.
出版日期Book 2000
关键词Markov Chains; Markov chain; Markov model; modeling; optimization
版次1
doihttps://doi.org/10.1007/978-1-4757-4828-4
isbn_softcover978-1-4419-5100-7
isbn_ebook978-1-4757-4828-4Series ISSN 0884-8289 Series E-ISSN 2214-7934
issn_series 0884-8289
copyrightSpringer Science+Business Media New York 2000
The information of publication is updating

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Numerical Methods for Computing Stationary Distributions of Finite Irreducible Markov Chains,let .. denote the rate at which an .-state Markov chain moves from state . to state .. The . × . matrix . whose off-diagonal elements are .. and whose .. diagonal element is given by ... is called the . of the Markov chain. It may be shown that the stationary probability vector ., a row vector whose
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Stochastic Automata Networks,is represented by a number of states and rules that govern the manner in which it moves from one state to the next. The state of an automaton at any time . is just the state it occupies at time . and the state of the SAN at time . is given by the state of each of its constituent automata.
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Use of Characteristic Roots for Solving Infinite State Markov Chains,pace. In particular, we consider the solution of such chains using roots or zeros. A root of an equation . (.) = 0 is a zero of the function . (.),and so for notational convenience we use the terms root and zero interchangeably. A natural class of chains that can be solved using roots are those with
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On Numerical Computations of Some Discrete-Time Queues,As-mussel, 1987, Bacelli and Bremaud, 1994, Bhat and Basawa, 1992, Boxma and Syski, 1988, Bunday, 1986, Bunday, 1996, Chaudhry and Templeton, 1983, Cohen, 1982, Cooper, 1981, Daigle, 1992, Gnedenko and Kovalenko, 1989, Gross and Harris, 1985, Kalashnikov, 1994, Kashyap and Chaudhry, 1988, Kleinrock,
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