Consecutive k-out-of-n systems with maintenance |
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Authors: | Stavros G Papastavridis Markos V Koutras |
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Institution: | (1) Department of Mathematics, University of Athens, Panepistemiopolis, 157 84 Athens, Greece |
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Abstract: | A consective k-out-of-n system consists of n linearly or cycliccally ordered components such that the system fails if and only if at least k consecutive components fail. In this paper we consider a maintained system where each component is repaired independently of the others according to an exponential distribution. Assuming general lifetime distributions for system's components we prove a limit theorem for the time to first failure of both linear and circular systems. |
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Keywords: | Consecutive k-out-of-n systems reliability bounds maintenance time to failure Weibull limit theorem |
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