Kronecker Modeling and Analysis of Multidimensional Markovian Systems

Tuğrul Dayar (Autor)

Buch | Hardcover

XX, 269 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-97128-5 (ISBN)

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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.

Introduction.- Modeling with Kronecker Products.- Avoiding Unreachable States.- Preprocessing.- Vector-Kronecker Product Multiplication.- Steady-State Analysis.- Transient Analysis.- Conclusion.

Erscheinungsdatum	12.10.2018
Reihe/Serie	Springer Series in Operations Research and Financial Engineering
Zusatzinfo	XX, 269 p. 23 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	595 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Compact Solution Vector • Kronecker Operations • Kronecker Product • Markov Chain • Multi-dimensional Markovian Modeling • Steady-state Analysis • Transient analysis
ISBN-10	3-319-97128-X / 331997128X
ISBN-13	978-3-319-97128-5 / 9783319971285
Zustand	Neuware