Description: Analyzing Markov Chains using Kronecker Products : Theory and Applications, Paperback by Dayar, Tugrul, ISBN 1461441897, ISBN-13 9781461441892, Like New Used, Free shipping in the US 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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Book Title: Analyzing Markov Chains using Kronecker Products : Theory and App
Number of Pages: IX, 86 Pages
Publication Name: Analyzing Markov Chains Using Kronecker Products : Theory and Applications
Language: English
Publisher: Springer New York
Item Height: 0.1 in
Publication Year: 2012
Subject: Probability & Statistics / Stochastic Processes, Numerical Analysis, Probability & Statistics / General, Computer Science, General
Type: Textbook
Item Weight: 16 Oz
Author: Tugrul Dayar
Item Length: 9.3 in
Subject Area: Mathematics, Computers
Series: Springerbriefs in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback
