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Titlebook: Constructive Computation in Stochastic Models with Applications; The RG-Factorization Quan-Lin Li Book 2010 The Editor(s) (if applicable) a

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發(fā)表于 2025-3-21 19:41:11 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Constructive Computation in Stochastic Models with Applications
副標(biāo)題The RG-Factorization
編輯Quan-Lin Li
視頻videohttp://file.papertrans.cn/237/236103/236103.mp4
概述The first book in the area of matrix-analytic methods bridging applied mathematics to computer science, operations research and management sciences..Presents recent results on applications in optimiza
圖書封面Titlebook: Constructive Computation in Stochastic Models with Applications; The RG-Factorization Quan-Lin Li Book 2010 The Editor(s) (if applicable) a
描述."Constructive Computation in Stochastic Models with Applications: The .RG.-Factorizations" provides a unified, constructive and algorithmic framework for numerical computation of many practical stochastic systems. It summarizes recent important advances in computational study of stochastic models from several crucial directions, such as stationary computation, transient solution, asymptotic analysis, reward processes, decision processes, sensitivity analysis as well as game theory. Graduate students, researchers and practicing engineers in the field of operations research, management sciences, applied probability, computer networks, manufacturing systems, transportation systems, insurance and finance, risk management and biological sciences will find this book valuable...Dr. Quan-Lin Li is an Associate Professor at the Department of Industrial Engineering of Tsinghua University, China..
出版日期Book 2010
關(guān)鍵詞Analysis; Markov; Markov Chain; Markov Chains; Markov decision process; Markov renewal process; Sage; Stoch
版次1
doihttps://doi.org/10.1007/978-3-642-11492-2
isbn_ebook978-3-642-11492-2
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:27:41 | 只看該作者
Block-Structured Markov Chains,me or continuous-time. The .- and .-measures are iteratively defined from two different censored directions: UL-type and LU-type. An important censoring invariance for the .- and .-measures is obtained. Using the censoring invariance, the Wiener-Hopf equations are derived, and then the UL- and UL-ty
板凳
發(fā)表于 2025-3-22 01:14:19 | 只看該作者
Markov Chains of GI/G/1 Type,he repeated blocks and the four basic inequalities for the boundary blocks, which are useful in spectral analysis of Markov chains of ./1 type. We analyze the dual Markov chain of any irreducible blockstructured Markov chain, and specifically discuss the dual chain of a Markov chain of ./1 type. Fur
地板
發(fā)表于 2025-3-22 08:07:00 | 只看該作者
Asymptotic Analysis, under which the stationary probability vector is either light-tailed or heavy-tailed by means of the .-factorization. At the same time, we provide expressions for both the light tail and the heavy tail. Note that the conditions and expressions can be completely determined by the repeating row and t
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發(fā)表于 2025-3-22 18:45:33 | 只看該作者
Examples of Practical Applications,nder a unified algorithmic framework. The processor-sharing queue is directly constructed as a block-structured Markov chain, and the fluid queue can be constructed as a block-structured Markov chain by means of the Laplace transform; while the negative-customer queue and the retrial queue need to c
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發(fā)表于 2025-3-22 21:13:15 | 只看該作者
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發(fā)表于 2025-3-23 01:50:39 | 只看該作者
Quasi-Stationary Distributions, We derive the .-factorizations for the β -discounted block-structured transition matrix. We provide conditions for the state α -classification, and derive two sets of expressions for the quasi-stationary distribution. As important examples, we analyze Markov chains of ./1 type, Markov chains of ./1
10#
發(fā)表于 2025-3-23 07:42:44 | 只看該作者
Markov Reward Processes,ide a unified algorithmic framework to derive expressions for conditional distributions and conditional moments of the reward processes. As an important example, we study the reward processes for an irreducible continuous-time level-dependent QBD process with either finitely-many levels or infinitel
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