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Analyzing Markov Chains Using Kronecker Products: Theory and Applications

Dayar Tugrul

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Description:Kronecker products are used to define the underlying Markov chain (Me invarious 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Analyzing Markov Chains Using Kronecker Products: Theory and Applications. To get started finding Analyzing Markov Chains Using Kronecker Products: Theory and Applications, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 91

Format: PDF, EPUB & Kindle Edition

Publisher: Not Avail

Release: 2012

ISBN: 6613845655

Description: Kronecker products are used to define the underlying Markov chain (Me invarious 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Analyzing Markov Chains Using Kronecker Products: Theory and Applications. To get started finding Analyzing Markov Chains Using Kronecker Products: Theory and Applications, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Analyzing Markov Chains Using Kronecker Products: Theory and Applications

Analyzing Markov Chains Using Kronecker Products: Theory and Applications

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