Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Kronecker products.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Combinatorial analysis. --- Kronecker products.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Combinatorial analysis. --- Kronecker products --- Analyse combinatoire --- Produits de Kronecker

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Kronecker products. --- Markov processes. --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Products, Kronecker --- Matrices --- Tensor products --- Distribution (Probability theory. --- Computer science --- Computer system performance. --- Probability Theory and Stochastic Processes. --- Computational Mathematics and Numerical Analysis. --- System Performance and Evaluation. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Mathematics --- Probabilities. --- Computer mathematics. --- Computer system failures. --- Computer failures --- Computer malfunctions --- Computer systems --- Failure of computer systems --- System failures (Engineering) --- Fault-tolerant computing --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Failures