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Published on: November 24, 2021
Computation of instant system availability and its applications
Emmanuel Hagenimana1, Song Lixin1, Patrick Kandege1
1School of Mathematical Sciences, Dalian University of Technology, China, Dalian, 116023 China.
Abstract:
The instant system availability [Formula: see text] of a repairable system with the renewal equation was studied. The starting point monotonicity of [Formula: see text] was proved and the upper bound of [Formula: see text] 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 [Formula: see text] 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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