Linear m-gap-consecutive k-out-of-r-from-n:F systems |
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Authors: | Gregory Levitin |
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Affiliation: | Collaborative Autonomic Computing Laboratory, School of Computer Science, University of Electronic Science and Technology of China, The Israel Electric Corporation, P.O. Box 10, Haifa 31000, Israel |
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Abstract: | This paper proposes a new model that generalizes the linear consecutive k-out-of-r-from-n system. In this model the system consists of n linearly ordered statistically independent identical elements and fails if the gap between any pair of groups of r consecutive elements containing at least k failed elements is less than m elements. An algorithm for system reliability evaluation is suggested, which is based on an extended universal moment generating function. Examples of system reliability evaluation are presented. |
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Keywords: | m-gap-consecutive k-out-of-r-from-n:F system Universal moment generating function |
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