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Control in Technical Systems
Calculation of reliability indicators in nonmonotone logical-probabilistic models of multilevel systems
V. S. Viktorova, A. S. Stepanyants Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
Abstract:
We consider logical-probabilistic modeling of the reliability behavior of multilevel systems described by nonmonotone functions of the algebra of logic. A method is proposed for calculating the parameter of the flow of transitions to a subset of states specified by a nonmonotone function. An approach to calculating estimates of interval indicators of reliability, efficiency, and safety of multilevel systems on logical-probabilistic models is described. An example of calculating the indicators of the operational availability of a multilevel system with nonmonotone logical criteria for the transition between levels is given. The calculated values of indicators are compared with the results of Markov modeling.
Keywords:
reliability, logical-and-probabilistic methods, nonmonotone models, interval indicators, failure flow parameter, efficiency retention factor.
Received: 03.09.2020 Revised: 09.12.2020 Accepted: 15.01.2021
Citation:
V. S. Viktorova, A. S. Stepanyants, “Calculation of reliability indicators in nonmonotone logical-probabilistic models of multilevel systems”, Avtomat. i Telemekh., 2021, no. 5, 106–123; Autom. Remote Control, 82:5 (2021), 827–840
Linking options:
https://www.mathnet.ru/eng/at15555 https://www.mathnet.ru/eng/at/y2021/i5/p106
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Abstract page: | 122 | Full-text PDF : | 4 | References: | 22 | First page: | 16 |
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