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Titlebook: Numerical Methods for Solving Discrete Event Systems; With Applications to Winfried Grassmann,Javad Tavakoli Textbook 2022 The Editor(s) (i

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發(fā)表于 2025-3-21 18:34:45 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Numerical Methods for Solving Discrete Event Systems
副標(biāo)題With Applications to
編輯Winfried Grassmann,Javad Tavakoli
視頻videohttp://file.papertrans.cn/670/669093/669093.mp4
概述Provides many algorithms which may serve as templates.Includes detailed discussion of randomization/uniformization method.Contains chapter-level summaries and exercises
叢書名稱CMS/CAIMS Books in Mathematics
圖書封面Titlebook: Numerical Methods for Solving Discrete Event Systems; With Applications to Winfried Grassmann,Javad Tavakoli Textbook 2022 The Editor(s) (i
描述.This graduate textbook provides an alternative to discrete event simulation.? It describes how to formulate discrete event systems, how to convert them into Markov chains, and how to calculate their transient and equilibrium probabilities. The most appropriate methods for finding these probabilities are described in some detail, and templates for efficient algorithms are provided. These algorithms can be executed on any laptop, even in cases where the Markov chain has hundreds of thousands of states. This book features the probabilistic interpretation of Gaussian elimination, a concept that unifies many of the topics covered, such as embedded Markov chains and matrix analytic methods..The material provided should aid practitioners significantly to solve their problems. This book also provides an interesting approach to teaching courses of stochastic processes.. .?.
出版日期Textbook 2022
關(guān)鍵詞Discrete event systems; Markov chains; Queueing; Inventory control; Numerical methods; Matrix analytic me
版次1
doihttps://doi.org/10.1007/978-3-031-10082-6
isbn_softcover978-3-031-10084-0
isbn_ebook978-3-031-10082-6Series ISSN 2730-650X Series E-ISSN 2730-6518
issn_series 2730-650X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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發(fā)表于 2025-3-21 22:32:00 | 只看該作者
Numerical Methods for Solving Discrete Event Systems978-3-031-10082-6Series ISSN 2730-650X Series E-ISSN 2730-6518
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發(fā)表于 2025-3-22 01:45:58 | 只看該作者
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發(fā)表于 2025-3-22 08:12:55 | 只看該作者
https://doi.org/10.1007/978-3-031-10082-6Discrete event systems; Markov chains; Queueing; Inventory control; Numerical methods; Matrix analytic me
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Moving toward the Statistical Equilibrium,d if they exist, whether or not they depend on the initial state. These are the questions addressed in this chapter. The tools to resolve these questions include the classification of states, as well as the characterization of transient solutions by eigenvalues.
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發(fā)表于 2025-3-23 01:33:34 | 只看該作者
Equilibrium Solutions of Markov Chains and Related Topics,fference between the equilibrium equations of DTMCs and CTMCs. In particular, we discuss the state elimination method, a variant of Gaussian elimination that has probabilistic interpretation. This then leads to the fundamental matrix and its use. Iterative methods are also described, and illustrated by examples.
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發(fā)表于 2025-3-23 08:53:14 | 只看該作者
Reducing the Supplementary State Space Through Embedding,te variables. Two types of embedding points are discussed: One can embed the process at the points where any of the events happens, or one can select a specific event type, such as arrivals, and use these as embedding points.
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