Components C 1 and C 2 form a series system. Suppose we can allocate the spare R 1 in parallel with C 1 and the spare R 2 in parallel with C 2 , or otherwise, allocate R 1 with C 2 and R 2 with C 1 . In this paper, we compare these two options using hazard rate ordering.
✦ LIBER ✦
On the optimal allocation of an active redundancy in a two-component series system
✍ Scribed by José E. Valdés; Rómulo I. Zequeira
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 196 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
Let X 1 and X 2 be independent random variables representing the lifetimes of the components C 1 and C 2 , and Y 1 and Y 2 be random variables, independent of X 1 and X 2 , representing the lifetimes of the spares R 1 and R 2 , respectively. Suppose that the components C 1 and C 2 form a series system. There are two options for using one of the spares R 1 or R 2 as an active redundancy: to allocate R 1 in parallel with C 1 or R 2 in parallel with C 2 . In this paper we compare these options using failure rate ordering.
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