Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1154784 | Statistics & Probability Letters | 2006 | 8 Pages |
Abstract
The (n,f,k)(n,f,k)(〈n,f,k〉)(〈n,f,k〉) system consists of nn components ordered in a line or a circle and the system fails if and only if there exist at least ff failed components or (and) at least kk 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
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Lirong Cui, Way Kuo, Jinlin Li, Min Xie,