论文信息 - Exact reliability formulas for linear and circular m-consecutive-k-out-of-n:F systems

Exact reliability formulas for linear and circular m-consecutive-k-out-of-n:F systems

Abstract A linear (circular) m -consecutive- k -out-of- n :F system, consists of n components ordered on a line (on a circle). The system fails if and only if there are at least m nonoverlapping runs of k consecutive failed components. Four theorems are given. Theorem 1 is an exact formula of the reliability of the linear system given in terms of multinomial coefficients. Theorem 2 is an exact formula of the reliability of the linear system in terms of binomial coefficients. Theorems 3 and 4 are exact formulas of the reliability of the circular system, given in terms of multinomial and binomial coefficients, respectively.

Andreas N. Philippou | Frosso S. Makri | F. S. Makri

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