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Linear m-gap-consecutive k-out-of-r-from-n:F systems

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  • Levitin, Gregory

Abstract

This paper proposes a new model that generalizes the linear consecutive k-out-of-r-from-n system. In this model the system consists of n linearly ordered statistically independent identical elements and fails if the gap between any pair of groups of r consecutive elements containing at least k failed elements is less than m elements. An algorithm for system reliability evaluation is suggested, which is based on an extended universal moment generating function. Examples of system reliability evaluation are presented.

Suggested Citation

  • Levitin, Gregory, 2011. "Linear m-gap-consecutive k-out-of-r-from-n:F systems," Reliability Engineering and System Safety, Elsevier, vol. 96(2), pages 292-298.
    • Handle: RePEc:eee:reensy:v:96:y:2011:i:2:p:292-298
    DOI: 10.1016/j.ress.2010.09.009
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    References listed on IDEAS

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    1. Xiao, Gang & Li, Zhizhong & Li, Ting, 2007. "Dependability estimation for non-Markov consecutive-k-out-of-n: F repairable systems by fast simulation," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 293-299.
    2. Yun, Won-Young & Kim, Gui-Rae & Yamamoto, Hisashi, 2007. "Economic design of a circular consecutive-k-out-of-n:F system with (k-1)-step Markov dependence," Reliability Engineering and System Safety, Elsevier, vol. 92(4), pages 464-478.
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    Cited by:

    1. Aboalkhair, Ahmad M. & Coolen, Frank P.A. & MacPhee, Iain M., 2014. "Nonparametric predictive inference for reliability of a k-out-of-m:G system with multiple component types," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 298-304.

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