Markov Chains(English, Hardcover, Sericola Bruno)

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Markov Chains(English, Hardcover, Sericola Bruno) is written by Sericola Bruno and published by ISTE Ltd and John Wiley & Sons Inc. It's available with International Standard Book Number or ISBN identification 1848214936 (ISBN 10) and 9781848214934 (ISBN 13).

Markov Chains: Theory and Applications Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communication networks and manufacturing systems. The success of Markov chains is mainly due to their simplicity of use, the large number of available theoretical results and the quality of algorithms developed for the numerical evaluation of many metrics of interest. The author presents the theory of both discrete-time and continuous-time homogeneous Markov chains. He carefully examines the explosion phenomenon, the Kolmogorov equations, the convergence to equilibrium and the passage time distributions to a state and to a subset of states. These results are applied to birth-and-death processes. He then proposes a detailed study of the uniformization technique by means of Banach algebra. This technique is used for the transient analysis of several queuing systems.