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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.spl.2005.12.004
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dc.titleOn the dual reliability systems of ( n, f, k ) and 〈 n, f, k 〉
dc.contributor.authorCui, L.
dc.contributor.authorKuo, W.
dc.contributor.authorLi, J.
dc.contributor.authorXie, M.
dc.date.accessioned2014-10-07T10:24:28Z
dc.date.available2014-10-07T10:24:28Z
dc.date.issued2006-06-01
dc.identifier.citationCui, L., Kuo, W., Li, J., Xie, M. (2006-06-01). On the dual reliability systems of ( n, f, k ) and 〈 n, f, k 〉. Statistics and Probability Letters 76 (11) : 1081-1088. ScholarBank@NUS Repository. https://doi.org/10.1016/j.spl.2005.12.004
dc.identifier.issn01677152
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/87119
dc.description.abstractThe ( n, f, k ) ( 〈 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. © 2005 Elsevier B.V. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.spl.2005.12.004
dc.sourceScopus
dc.subject( n, f, k ) and 〈 n, f, k 〉 systems
dc.subjectConsecutive system
dc.subjectDuality
dc.subjectMarkov chain
dc.subjectReliability
dc.typeArticle
dc.contributor.departmentINDUSTRIAL & SYSTEMS ENGINEERING
dc.description.doi10.1016/j.spl.2005.12.004
dc.description.sourcetitleStatistics and Probability Letters
dc.description.volume76
dc.description.issue11
dc.description.page1081-1088
dc.description.codenSPLTD
dc.identifier.isiut000237640100001
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