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Avtomatika i Telemekhanika, 2017, Issue 1, Pages 137–151
(Mi at14417)
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This article is cited in 3 scientific papers (total in 3 papers)
Safety, Viability, Reliability, Technical Diagnostics
Reliability of repairable reserved systems with failure aftereffect
S. V. Gurova, L. V. Utkinb a St. Petersburg State Forest Engineering University, St. Petersburg, Russia
b Peter the Great St. Petersburg Polytechnical University, St. Petersburg, Russia
Abstract:
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.
Keywords:
reliability, aftereffect, repairable system, integral equations, failure, load, time to failure, Weibull distribution.
Citation:
S. V. Gurov, L. V. Utkin, “Reliability of repairable reserved systems with failure aftereffect”, Avtomat. i Telemekh., 2017, no. 1, 137–151; Autom. Remote Control, 78:1 (2017), 113–124
Linking options:
https://www.mathnet.ru/eng/at14417 https://www.mathnet.ru/eng/at/y2017/i1/p137
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Statistics & downloads: |
Abstract page: | 363 | Full-text PDF : | 70 | References: | 62 | First page: | 40 |
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