On the dual reliability systems of (n,f,k) and

Lirong Cui, Way Kuo, Jinlin Li and Min Xie

Statistics & Probability Letters, 2006, vol. 76, issue 11, 1081-1088

Abstract: The (n,f,k) ( ) system consists of n components ordered in a line or a circle and the system fails if and only if there exist at least f failed components or (and) at least k consecutive failed components. This type of models involves two common failure criteria of a system. In this paper, the duality of these systems is obtained and the proofs are given. We also obtain the recursive equations for the system reliability for these models. Furthermore, the finite Markov chain imbedding approach is employed to obtain some more compact reliability formulas for independent and Markov-dependent cases.

Keywords: Consecutive system Markov chain (n; f; k) and < n; f; k> systems Duality Reliability (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (6)

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