On matched active redundancy allocation for coherent systems with statistically dependent component lifetimes |
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| Authors: | Rui Fang Xiaohu Li |
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| Affiliation: | 1. Department of Mathematics Shantou University, Shantou, Guangdong, China;2. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, New Jersey |
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| Abstract: | This study addresses the allocation of matched active redundancy components to coherent systems with base components having statistically dependent lifetimes. We consider base component lifetimes and redundancy component lifetimes which are both stochastic arrangement monotone with respect to a pair of components given the lifetimes of the other components. In this context, allocating a more reliable redundancy component to the weaker base component is shown to incur a stochastically larger system lifetime. Numerical examples are presented as an illustration of the theoretical results. |
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| Keywords: | coherent system minimal path decomposition permutation stochastic arrangement increasing stochastic order |
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