Optimal system size for k-out-of-n systems with competing failure modes
We treat the problem of achieving optimal system size for k-out-of- n systems with competing failure modes. Assume that components are independent and identical distributed and subject to two types of failure: failure in open mode and failure in closed mode. The system works if and only if fewer tha...
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| Published in | Mathematical and computer modelling Vol. 15; no. 6; pp. 77 - 81 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
1991
|
| Online Access | Get full text |
| ISSN | 0895-7177 1872-9479 |
| DOI | 10.1016/0895-7177(91)90026-4 |
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| Summary: | We treat the problem of achieving optimal system size for
k-out-of-
n systems with competing failure modes. Assume that components are independent and identical distributed and subject to two types of failure: failure in open mode and failure in closed mode. The system works if and only if fewer than
k components fail in closed mode and fewer than
n −
k + 1 components fail in open mode. In this paper we determine the optimal system size
n which maximizes the system reliability. We also study the effect of the system parameters on the optimal system size
n. A numerical example is given to illustrate the results. |
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| ISSN: | 0895-7177 1872-9479 |
| DOI: | 10.1016/0895-7177(91)90026-4 |