國立高雄大學圖資館 |

Language: English

Back

Kronecker modeling and analysis of m...

Dayar, Tugrul.

Kronecker modeling and analysis of multidimensional Markovian systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Kronecker modeling and analysis of multidimensional Markovian systemsby 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$q(electronic bk.)

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$q(electronic bk.)

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

569134
Kronecker products.

LC Class. No.: QA188 / .D393 2018

Dewey Class. No.: 519.233

Kronecker modeling and analysis of multidimensional Markovian systems
LDR:02241nmm a2200349 a 4500 001 544751
003 DE-He213
005 20190315094832.0
006 m d
007 cr nn 008maaau
008 190508s2018 gw s 0 eng d
020 $a 9783319971292$q(electronic bk.)
020 $a 9783319971285$q(paper)
024 7 $a 10.1007/978-3-319-97129-2 $2 doi
035 $a 978-3-319-97129-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA188 $b .D393 2018
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
072 7 $a PBWL $2 thema
082 0 4 $a 519.233 $2 23
090 $a QA188 $b .D275 2018
100 1 $a Dayar, Tugrul. $3 346485
245 1 0 $a Kronecker modeling and analysis of multidimensional Markovian systems $h [electronic resource] / $c by Tugrul Dayar.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xx, 269 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in operations research and financial engineering, $x 1431-8598
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.
650 0 $a Kronecker products. $3 569134
650 0 $a Markov processes. $3 181910
650 1 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 274020
650 2 4 $a System Performance and Evaluation. $3 273898
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Springer series in operations research and financial engineering. $3 567467
856 4 0 $u https://doi.org/10.1007/978-3-319-97129-2
950 $a Mathematics and Statistics (Springer-11649)