Analyzing Markov Chains using Kronecker Products : Theory and Applications
Language: English
Published by Springer New York, 2012
- Softcover
- Used
Seller: Buchpark, Trebbin, GermanyBuchpark
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Condition: Used - Fine
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Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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.…
Seller Inventory # 12281948/12
- Title
- Analyzing Markov Chains using Kronecker Products : Theory and Applications
- Author
- Tugrul Dayar
- Publisher
- Springer New York
- Publication year
- 2012
- Condition
- Sehr gut
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 1461441897
- ISBN 13
- 9781461441892
- Series
- Book 10 of 155: SpringerBriefs in Mathematics
- Seller catalogs
- Bücher
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