On the right spread ordering of series systems with two heterogeneous Weibull components
β Scribed by Longxiang Fang,Wei Tang
- Book ID
- 126369956
- Publisher
- Hindawi Publishing Corporation
- Year
- 2014
- Tongue
- English
- Weight
- 160 KB
- Volume
- 2014
- Category
- Article
- ISSN
- 1025-5834
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π SIMILAR VOLUMES
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.
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 syst