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

Lirong Cui

Statistics & Probability Letters, 2002, vol. 59, issue 4, 405-414

Abstract: 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 fixed k, there exists an nk for which the system does not preserve IFR when n>nk. On the other hand, it is difficult to obtain an analytical expression for nk 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 nk. Some numerical results are given.

Keywords: Consecutive-k-out-of-n:F; systems; IFR; Integer; bounds; Linear; and; circular; cases (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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