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

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  • Cui, Lirong

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.

Suggested Citation

  • Cui, Lirong, 2002. "The IFR property for consecutive-k-out-of-n:F systems," Statistics & Probability Letters, Elsevier, vol. 59(4), pages 405-414, October.
    • Handle: RePEc:eee:stapro:v:59:y:2002:i:4:p:405-414
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    Cited by:

    1. Cai, Zhiqiang & Si, Shubin & Sun, Shudong & Li, Caitao, 2016. "Optimization of linear consecutive-k-out-of-n system with a Birnbaum importance-based genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 248-258.

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