Analyzing Markov chains using Kronecker products : theory and applications
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...
Guardat en:
| Autor principal: | |
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| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2012. |
| Col·lecció: | SpringerBriefs in Mathematics
|
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Analyzing Markov chains using Kronecker products, theory and applications, Tužrul Dayar, 2012, New York, NY, Springer, 1 vol. (IX-86 p.), SpringerBriefs in mathematics, 978-1-4614-4189-2 • Analyzing Markov chains using Kronecker products, theory and applications, Tužrul Dayar, 2012, New York, NY, Springer, 1 vol. (IX-86 p.), SpringerBriefs in mathematics, 978-1-4614-4189-2 • Analyzing Markov Chains using Kronecker Products, Texte imprimé, 9781461441915 • Analyzing Markov chains using Kronecker products, theory and applications, Tužrul Dayar, 2012, New York, NY, Springer, 1 vol. (IX-86 p.), SpringerBriefs in mathematics, 978-1-4614-4189-2 • Analyzing Markov Chains using Kronecker Products, Texte imprimé, 9781461441915 |
| Sumari: | 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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| Descripció de l’ítem: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9781461441908 |
| ISSN: | 2191-8201 |
| Accés: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |