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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