Semi-Markov Models

Control of Restorable Systems with Latent Failures

Nonfiction, Science & Nature, Mathematics, Probability, Statistics
Cover of the book Semi-Markov Models by Yuriy E Obzherin, Elena G Boyko, Elsevier Science
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Author: Yuriy E Obzherin, Elena G Boyko ISBN: 9780128024867
Publisher: Elsevier Science Publication: February 3, 2015
Imprint: Academic Press Language: English
Author: Yuriy E Obzherin, Elena G Boyko
ISBN: 9780128024867
Publisher: Elsevier Science
Publication: February 3, 2015
Imprint: Academic Press
Language: English

Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failuresdescribes valuable methodology which can be used by readers to build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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Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failuresdescribes valuable methodology which can be used by readers to build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

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