Evaluating the Functional Failure Probability of System with the Varying Efficiency by the Fast Simulation Method

Olga N. Khomyak

doi:10.1615/JAutomatInfScien.v46.i8.80

Journal of Automation and Information Sciences

Editor-in-Chief: Arkadiy A. Chikriy (open in a new tab)

Associate Editors: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

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Evaluating the Functional Failure Probability of System with the Varying Efficiency by the Fast Simulation Method

Volume 46, Issue 8, 2014, pp. 67-76

DOI: 10.1615/JAutomatInfScien.v46.i8.80

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Olga N. Khomyak
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev

ABSTRACT

A Markov model of the system with the structure described by a fault tree with the efficiency is considered. A Markov process determines the required system efficiency level. The probability of functional failure when this level becomes higher than the existing one is investigated. A fast simulation algorithm is proposed. The conditions, ensuring the limitation of the relative mean-square error while the system reliability growing, is proposed. A numerical example is given.

KEY WORDS: functional failure probability, system with the varying efficiency, fast simulation algorithm, ensuring the limitation of the relative mean-square error, Markov model.

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