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On allocation of redundancies in two-component series systems

✍ Scribed by Zhao, Peng; Chan, Ping Shing; Li, Long; Ng, Hon Keung Tony


Book ID
122401423
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
344 KB
Volume
41
Category
Article
ISSN
0167-6377

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πŸ“œ SIMILAR VOLUMES


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✍ JosΓ© E. ValdΓ©s; RΓ³mulo I. Zequeira πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 142 KB

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.

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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