Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207720500062470
Title: On a generalized k-out-of-n system and its reliability
Authors: Cui, L.
Xie, M. 
Keywords: Birnbaum importance
Consecutive-k-out-of-n system
Recursive formula
System reliability
Issue Date: 15-Apr-2005
Citation: Cui, L., Xie, M. (2005-04-15). On a generalized k-out-of-n system and its reliability. International Journal of Systems Science 36 (5) : 267-274. ScholarBank@NUS Repository. https://doi.org/10.1080/00207720500062470
Abstract: A consecutive-k-out-of-n system is a system with n components arranged either linearly or circularly, which fails if and only if at least k consecutive components fail. An (n,f,k) system further requires that the total number of failed components is less than f for the system to be working. Here we consider a more general system consisting of N modules with the ith module-composed of ni components in parallel; the system fails if and only if there exist at least f failed components or at least k consecutive failed modules. In this paper, some formulae for the reliability of such a generalized k-out-of-n system are derived for both the linear and the circular cases. The recursive formulae established here can be easily computed. Many existing results are also shown to be special cases of the results obtained in this paper. Furthermore, we investigate some component importance properties. © 2005 Taylor & Francis Group Ltd.
Source Title: International Journal of Systems Science
URI: http://scholarbank.nus.edu.sg/handle/10635/87106
ISSN: 00207721
DOI: 10.1080/00207720500062470
Appears in Collections:Staff Publications

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