We treat the problem of achieving optimal system size for k-out-of-n systems with competing failure modes. Assume that components are independent and identical distributed and subject to two types of failure: failure in open mode and failure in closed mode. The system works if and only if fewer than k components fail in closed mode and fewer than n - k + 1 components fail in open mode. In this paper we determine the optimal system size n which maximizes the system reliability. We also study the effect of the system parameters on the optimal system size n. A numerical example is given to illustrate the results.
机构:
Univ Isfahan, Fac Math & Stat, Dept Stat, Esfahan 81744, IranUniv Isfahan, Fac Math & Stat, Dept Stat, Esfahan 81744, Iran
Tavangar, M.
Asadi, M.
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机构:
Univ Isfahan, Fac Math & Stat, Dept Stat, Esfahan 81744, Iran
Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, IranUniv Isfahan, Fac Math & Stat, Dept Stat, Esfahan 81744, Iran