Analyzing Markov Chains using Kronecker Products

Language: English

Published by Springer New York Jul 2012, 2012

1461441897 / 9781461441892

Series: Book 10 of 155 - SpringerBriefs in Mathematics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rather than a flat one is to alleviate the storage requirements associated with the MC. With this approach, systems that are an order of magnitude larger can be analyzed on the same platform. The developments in the solution of such MCs are reviewed from an algebraic point of view and possible areas for further research are indicated with an emphasis on preprocessing using reordering, grouping, and lumping and numerical analysis using block iterative, preconditioned projection, multilevel, decompositional, and matrix analytic methods. Case studies from closed queueing networks and stochastic chemical kinetics are provided to motivate decompositional and matrix analytic methods, respectively. 96 pp. Englisch.…

Seller Inventory # 9781461441892

Title
Analyzing Markov Chains using Kronecker Products
Author
Tugrul Dayar
Publisher
Springer New York Jul 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461441897
ISBN 13
9781461441892
Item weight
160 grams
Dimensions
235x155x6 mm
Series
Book 10 of 155: SpringerBriefs in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany