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Celotno besedilo
  • Analyzing Markov chains using Kronecker products [Elektronski vir] : theory and applications
    Dayar, Tugrul
    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
    Vrsta gradiva - e-knjiga
    Založništvo in izdelava - New York, NY : Springer, cop. 2012
    Jezik - angleški
    ISBN - 978-1-4614-4190-8; 1-4614-4190-0
    COBISS.SI-ID - 1545316063

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    SpringerLink e-books 2008-2012

    Celotno besedilo dostopno za uporabnike SpringerLink slovenskega konzorcija neprofitnih institucij

    Full text accessible to the users of SpringerLink Slovenian Consortium of Non-Profit Institutions


    DOI

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