Kronecker Modeling and Analysis of Multidimensional Markovian Systems

This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. Numerical methods for steady-state and transient...

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Hlavný autor: Dayar, Tuğrul (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydavateľské údaje: Cham : Springer International Publishing, 2018.
Vydanie:1st ed. 2018.
Edícia:Springer Series in Operations Research and Financial Engineering,
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ISBN:9783319971292
ISSN:1431-8598
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100 1 |a Dayar, Tuğrul.  |4 aut 
245 1 0 |a Kronecker Modeling and Analysis of Multidimensional Markovian Systems  |h [electronic resource] /  |c by Tuğrul Dayar. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XX, 269 p. 23 illus.  |b online resource. 
490 1 |a Springer Series in Operations Research and Financial Engineering,  |x 1431-8598 
500 |a Mathematics and Statistics  
505 0 |a Introduction -- Modeling with Kronecker Products -- Avoiding Unreachable States -- Preprocessing -- Vector-Kronecker Product Multiplication -- Steady-State Analysis -- Transient Analysis -- Conclusion. 
516 |a text file PDF 
520 |a This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. Numerical methods for steady-state and transient analysis of Kronecker-based multidimensional Markovian models are discussed in detail together with implementation issues. Case studies are provided to explain concepts and motivate use of methods. Having grown out of research from the past twenty years, this book expands upon the author's previously published book Analyzing Markov Chains using Kronecker Products (Springer, 2012). The subject matter is interdisciplinary and at the intersection of applied mathematics and computer science. The book will be of use to researchers and graduate students with an understanding of basic linear algebra, probability, and discrete mathematics. 
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650 0 |a Computer system failures. 
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