Analyzing Markov Chains using Kronecker Products

Name: Analyzing Markov Chains using Kronecker Products
Brand: Springer, Berlin
SKU: 9781461441892
Price: 1147 CZK
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Theory and Applications

Autor: Tugrul Dayar

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalism...

Informace o knize

Autor

Tugrul Dayar

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2012

Stránek

EAN

9781461441892

ISBN

1461441897

Enbook ID

01427955

Vydavatel

Springer, Berlin

Hmotnost

151

Rozměry

156 x 235 x 5

Kompletní popis

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.

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Analyzing Markov Chains using Kronecker Products

Theory and Applications

Informace o knize

Kompletní popis

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Zákaznicí kteří koupili tuto knihu koupili také