Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failures describes valuable methodology which can be used by readers to build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