Hagenimana E, Lixin S, Kandege P. Computation of instant system availability and its applications.
SPRINGERPLUS 2016;
5:954. [PMID:
27386398 PMCID:
PMC4930442 DOI:
10.1186/s40064-016-2590-x]
[Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/09/2016] [Accepted: 06/15/2016] [Indexed: 12/03/2022]
Abstract
The instant system availability \documentclass[12pt]{minimal}
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\begin{document}$$S_\tau (t)$$\end{document}Sτ(t) of a repairable system with the renewal equation was studied. The starting point monotonicity of \documentclass[12pt]{minimal}
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\begin{document}$$S_\tau (t)$$\end{document}Sτ(t) was proved and the upper bound of \documentclass[12pt]{minimal}
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\begin{document}$$S_\tau (t)$$\end{document}Sτ(t) is also derived. It was found that the interval of instant system availability monotonically decreases. In addition, we provide examples that validate the analytically derived properties of \documentclass[12pt]{minimal}
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\begin{document}$$S_\tau (t)$$\end{document}Sτ(t) based on the Lognormal, Gamma and Weibull distributions and the results show that the value of T is slightly smaller than its value defined in Theorem 2. The procedure of using a bathtub as application for this article is also discussed.
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