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Kronecker Modeling and Analysis of Multidimensional Markovian Systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Kronecker Modeling and Analysis of Multidimensional Markovian Systems/ by Tuğrul Dayar.
作者:	Dayar, Tuğrul.
面頁冊數:	XX, 269 p. 23 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Probabilities. -
電子資源:	https://doi.org/10.1007/978-3-319-97129-2
ISBN:	9783319971292

Kronecker Modeling and Analysis of Multidimensional Markovian Systems
Dayar, Tuğrul.

Kronecker Modeling and Analysis of Multidimensional Markovian Systems[electronic resource] /by Tuğrul Dayar. - 1st ed. 2018. - XX, 269 p. 23 illus.online resource. - Springer Series in Operations Research and Financial Engineering,1431-8598. - Springer Series in Operations Research and Financial Engineering,.

Introduction -- Modeling with Kronecker Products -- Avoiding Unreachable States -- Preprocessing -- Vector-Kronecker Product Multiplication -- Steady-State Analysis -- Transient Analysis -- Conclusion.

This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. Numerical methods for steady-state and transient analysis of Kronecker-based multidimensional Markovian models are discussed in detail together with implementation issues. Case studies are provided to explain concepts and motivate use of methods. Having grown out of research from the past twenty years, this book expands upon the author’s previously published book Analyzing Markov Chains using Kronecker Products (Springer, 2012). The subject matter is interdisciplinary and at the intersection of applied mathematics and computer science. The book will be of use to researchers and graduate students with an understanding of basic linear algebra, probability, and discrete mathematics.

ISBN: 9783319971292

Standard No.: 10.1007/978-3-319-97129-2doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

Kronecker Modeling and Analysis of Multidimensional Markovian Systems
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