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The IFR property for consecutive-k-out-of-n:F systems

✍ Scribed by Lirong Cui

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
116 KB
Volume
59
Category
Article
ISSN
0167-7152

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✦ Synopsis

For a consecutive-k-out-of-n system of components with independent and identically distributed increasing failure rate (IFR) lifetimes, Cui et al. (Probab. Engng. Inform. Sci. 9 (1995) 217) proved that for any ΓΏxed k, there exists an n k for which the system does not preserve IFR when n ΒΏ n k . On the other hand, it is di cult to obtain an analytical expression for n k although it is useful to know the range of values for which the IFR property is preserved. In this paper, we present a bound for n k . Some numerical results are given.

πŸ“œ SIMILAR VOLUMES

On consecutive-k-out-of-n: F systems
On consecutive-k-out-of-n: F systems
✍ Fung-Yee Chan; Lai K. Chan; Gwo Dong Lin πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 606 KB
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✍ Philip J. Boland; Stavros Papastavridis πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 85 KB

An r consecutive k out of n: F system is a system of n linearly arranged components which fails if r non-overlapping sequences of k components fail. When r = 1 we have the classic consecutive k out of n: F system about which there is an extensive literature. In this research we study the situation w