Reliability of repairable reserved systems with failure aftereffect

We propose new models for analyzing the reliability of repairable systems with failure aftereffect, when the probability distribution of an element’s time to failure changes only during the time when another element is being repaired. The key idea here is the so-called coupling principle for various...

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Bibliographic Details
Published in:Automation and remote control 2017, Vol.78 (1), p.113-124
Main Authors: Gurov, S. V., Utkin, L. V.
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Failure analysis
Integral equations
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Reliability
Reliability analysis
Robotics
Safety
System reliability
Systems Theory
Technical Diagnostics
Viability
Weibull distribution
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Summary:We propose new models for analyzing the reliability of repairable systems with failure aftereffect, when the probability distribution of an element’s time to failure changes only during the time when another element is being repaired. The key idea here is the so-called coupling principle for various probability distributions when the system’s operation conditions or the “residual lifetime preservation condition” change. We show a method for constructing a system of integral equations as a universal tool for modeling the reliability of systems under the assumption that time to failure of each element obeys the Weibull distribution.
ISSN:0005-1179
1608-3032
DOI:10.1134/S000511791701009X