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METHODS MODELING SYSTEMS FOR THE IMPROVEMENT OF THEIR RELIABILITY
Author(s) -
Anna Zavgorodnya,
Valerii Zavgorodnii,
Vladyslav Plisenko,
Nikita Provatorov,
Pavlo Kudientsov
Publication year - 2019
Publication title -
web of scholar/web of scholar
Language(s) - English
Resource type - Journals
eISSN - 2518-1688
pISSN - 2518-167X
DOI - 10.31435/rsglobal_wos/30092019/6683
Subject(s) - redundancy (engineering) , reliability engineering , backup , markov chain , markov process , reliability (semiconductor) , computer science , fault tree analysis , markov model , conditional probability , mathematics , mathematical optimization , engineering , statistics , thermodynamics , physics , power (physics) , machine learning , database
The method of Markov’s processes for the analysis of systems with constant bounce and recovery intensities considered. The article presents calculations of the failure probability of the system for describing the various cases of redundancy of its components using Markov’s models. Expressions obtained for calculating the approximate value of the failure probability of the system and analyzed of failures to improve the reliability of the system. The Markov’s graph of transitions in the reservation of the system, which reflects its behavior, described. Analysis of the results of numerical solution of systems shows that when loaded with redundancy, the probability of failure is higher than with partially loaded, and with partially loaded - higher than with unloaded backup. A tree of errors for the system of cooling and clearing of flue gas at the reservation made by replacing "2 of 3", which has seven minimum bounce cross sections. Calculated the probability of system failure. The obtained calculations allow to analyze failures of technical systems in order to increase the reliability of their functioning.

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