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Kronecker modeling and analysis of multidimensional Markovian systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Kronecker modeling and analysis of multidimensional Markovian systems/ by Tugrul Dayar.
Author:	Dayar, Tugrul.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xx, 269 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Kronecker products. -
Online resource:	https://doi.org/10.1007/978-3-319-97129-2
ISBN:	9783319971292

Kronecker modeling and analysis of multidimensional Markovian systems
Dayar, Tugrul.

Kronecker modeling and analysis of multidimensional Markovian systems[electronic resource] /by Tugrul Dayar. - Cham :Springer International Publishing :2018. - xx, 269 p. :ill., digital ;24 cm. - 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:

884192
Kronecker products.

LC Class. No.: QA188 / .D393 2018

Dewey Class. No.: 519.233

Kronecker modeling and analysis of multidimensional Markovian systems
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300 $a xx, 269 p. : $b ill., digital ; $c 24 cm.
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505 0 $a Introduction -- Modeling with Kronecker Products -- Avoiding Unreachable States -- Preprocessing -- Vector-Kronecker Product Multiplication -- Steady-State Analysis -- Transient Analysis -- Conclusion.
520 $a 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.
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