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Economical Design of Large Consecutive-k-out-of-n:F Systems

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2 Author(s)
M. T. Chao ; Research Fellow and Director; Institute of Statistics; Academia Sinica; Taipei 115, TAIWAN, Republic of China. ; G. D. Lin

We first employ the concept of taboo probability to find a general closed-form formula for the reliability of a consecutive-k-out-of n:F system. We prove that for 1 ¿ k ¿ 4, the lim Rk,n = exp(-npk)n¿¿ where q is the component failure probability, and nqk is bounded. The limit formulas are used to design a large system where tradeoffs of costs can be considered.

Published in:

IEEE Transactions on Reliability  (Volume:R-33 ,  Issue: 5 )