Reliability of multi-component stress–strength models |
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| Authors: | NA Mokhlis SK Khames |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Ain Shams University, Abbasia, Cairo, Egypt;2. Department of Mathematics, Ain Shams University, University Collage for Women, Heliopolis, Cairo, Egypt |
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| Abstract: | In this paper, we estimate the reliability of some parallel and series multi-component stress–strength models. We determine the reliability of a system composed of k dependent components subjected to n dependent stresses. We study the cases, when the components are either arranged in series or in parallel. The components strengths are assumed to have (k + 1)-parameter multivariate Marshall–Olkin exponential distribution, while the stresses are (n + 1)-parameter multivariate Marshall–Olkin exponentially distributed. |
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