Reliability of multi-component stress–strength models | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 19, Issue 3, September 2011, Pages 106-111 PDF (357.76 K) | ||
| DOI: 10.1016/j.joems.2011.10.003 | ||
| Authors | ||
| Nahed Mokhlis* 1; S. K. Khames2 | ||
| 1Department of Mathematics, Faculty of Science, Ain Shams University, Abbasia, Cairo, Egypt | ||
| 2Department of Mathematics, Ain Shams University, University Collage for Women, Heliopolis, Cairo, Egypt | ||
| 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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