TY - BOOK ID - 33227098 TI - Kronecker Modeling and Analysis of Multidimensional Markovian Systems PY - 2018 SN - 3319971298 331997128X PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Kronecker products. KW - Markov processes. KW - Analysis, Markov KW - Chains, Markov KW - Markoff processes KW - Markov analysis KW - Markov chains KW - Markov models KW - Models, Markov KW - Processes, Markov KW - Stochastic processes KW - Products, Kronecker KW - Matrices KW - Tensor products KW - Distribution (Probability theory. KW - Computer science KW - Computer system performance. KW - Probability Theory and Stochastic Processes. KW - Computational Mathematics and Numerical Analysis. KW - System Performance and Evaluation. KW - Mathematics. KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Distribution functions KW - Frequency distribution KW - Characteristic functions KW - Probabilities KW - Mathematics KW - Probabilities. KW - Computer mathematics. KW - Computer system failures. KW - Computer failures KW - Computer malfunctions KW - Computer systems KW - Failure of computer systems KW - System failures (Engineering) KW - Fault-tolerant computing KW - Probability KW - Statistical inference KW - Combinations KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk KW - Failures UR - https://www.unicat.be/uniCat?func=search&query=sysid:33227098 AB - 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. ER -