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Stochastic Comparisons of $(n-1)$-out-of-$n$ Systems with Additive Hazard Components under Random Shocks
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Abed Hossein Panahi    , Habib Jafari , Ghobad Saadat Kia * |
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Abstract: (1093 Views) |
| Often, reliability systems suffer shocks from external stress factors, stressing the system at random. These random shocks may have non-ignorable effects on the reliability of the system. In this paper, we provide sufficient and necessary conditions on components' lifetimes and their survival probabilities from random shocks for comparing the lifetimes of two $(n-1)$-out-of-$n$ systems in two cases: (i) when components are independent, and then (ii) when components are dependent. |
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| Keywords: Majorization Order, Schur-convixity, Archimedean Copula, $(n-1)$-out-of-$n$ systems, Additive Hazard Model |
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Full-Text [PDF 339 kb]
(398 Downloads)
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Type of Study: Research |
Subject:
Reliability
Received: 2023/07/25 | Accepted: 2024/08/31 | Published: 2024/06/4
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