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

Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failures describes valuable methodology which can be used by readers to build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 elsewhereFocuses on possible applications to engineering control systems

List of Notations and Abbreviations Introduction Chapter 1: Preliminaries Chapter 2: Semi-Markov Models of One-Component Systems with Regard to Control of Latent Failures Chapter 3: Semi-Markov Models of Two-Component Systems with Regard to Control of Latent Failures Chapter 4: Optimization of Execution Periodicity of Latent Failures Control Chapter 5: Application and Verification of the Results