Semi-Markov Models: Control of Restorable Systems with Latent Failures

Semi-Markov Models: Control of Restorable Systems with Latent Failures
ISBN-10
0128024860
ISBN-13
9780128024867
Category
Mathematics
Pages
212
Language
English
Published
2015-02-03
Publisher
Academic Press
Authors
Yuriy E Obzherin, Elena G Boyko

Description

Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failures describes valuable methodology which can be used by readers to build mathematical models of a wide class of systems for various applications. In particular, this information can be applied to build models of reliability, queuing systems, and technical control. Beginning with a brief introduction to the area, the book covers semi-Markov models for different control strategies in one-component systems, defining their stationary characteristics of reliability and efficiency, and utilizing the method of asymptotic phase enlargement developed by V.S. Korolyuk and A.F. Turbin. The work then explores semi-Markov models of latent failures control in two-component systems. Building on these results, solutions are provided for the problems of optimal periodicity of control execution. Finally, the book presents a comparative analysis of analytical and imitational modeling of some one- and two-component systems, before discussing practical applications of the results Reflects the possibility and effectiveness of this method of modeling systems, such as phase merging algorithms developed by V.S. Korolyuk, A.F. Turbin, A.V. Swishchuk, little covered elsewhere Focuses on possible applications to engineering control systems

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