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

DOI: 10.31857/S000523102105007X

 English version: Automation and Remote Control, 2021, 82:5, 827–840

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