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010   $a3-319-97129-8
024 7 $a10.1007/978-3-319-97129-2
035   $a(CKB)4100000006674883
035   $a(MiAaPQ)EBC5521384
035   $a(DE-He213)978-3-319-97129-2
035   $a(PPN)230539440
035   $a(EXLCZ)994100000006674883
100   $a20180921d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aKronecker Modeling and Analysis of Multidimensional Markovian Systems /$fby Tu?rul Dayar
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (284 pages)
225 1 $aSpringer Series in Operations Research and Financial Engineering,$x1431-8598
311   $a3-319-97128-X 
327   $aIntroduction -- Modeling with Kronecker Products -- Avoiding Unreachable States -- Preprocessing -- Vector-Kronecker Product Multiplication -- Steady-State Analysis -- Transient Analysis -- Conclusion.
330   $aThis work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. Numerical methods for steady-state and transient analysis of Kronecker-based multidimensional Markovian models are discussed in detail together with implementation issues. Case studies are provided to explain concepts and motivate use of methods. Having grown out of research from the past twenty years, this book expands upon the author?s previously published book Analyzing Markov Chains using Kronecker Products (Springer, 2012). The subject matter is interdisciplinary and at the intersection of applied mathematics and computer science. The book will be of use to researchers and graduate students with an understanding of basic linear algebra, probability, and discrete mathematics.
410  0$aSpringer Series in Operations Research and Financial Engineering,$x1431-8598
606   $aProbabilities
606   $aComputer science$xMathematics
606   $aComputer system failures
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
606   $aSystem Performance and Evaluation$3https://scigraph.springernature.com/ontologies/product-market-codes/I13049
615  0$aProbabilities.
615  0$aComputer science$xMathematics.
615  0$aComputer system failures.
615 14$aProbability Theory and Stochastic Processes.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aSystem Performance and Evaluation.
676   $a512.9434
700   $aDayar$b Tu?rul$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767834
906   $aBOOK
912   $a9910300138003321
996   $aKronecker Modeling and Analysis of Multidimensional Markovian Systems$91923100
997   $aUNINA