 Time-dependent reliability analysis for repairable consecutive-k-out-of-n:F systemGökhan Gökdere and Hon Keung Tony Ng Statistical Theory and Related Fields, 2022, vol. 6, issue 2, 139-147 Abstract: In a repairable consecutive $ C(k,n:F) $ C(k,n:F) system, after the system operates for a certain time, some components may fail, some failed components may be repaired and the state of the system may change. The models developed in the existing literature usually assume that the state of the system varies over time depending on the values of n and k and the state of the system is known. Since the system reliability will vary over time, it is of great interest to analyse the time-dependent system reliability. In this paper, we develop a novel and simple method that utilizes the eigenvalues of the transition rate matrix of the system for the computation of time-dependent system reliability when the system state is known. In addition, the transition performance probabilities of the system from a known state to the possible states are also analysed. Computational results are presented to illustrate the applicability and accuracy of the proposed method. Date: 2022 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:taf:tstfxx:v:6:y:2022:i:2:p:139-147 Ordering information: This journal article can be ordered from DOI: 10.1080/24754269.2021.1971489 Access Statistics for this article Statistical Theory and Related Fields is currently edited by Zhao Wei More articles in Statistical Theory and Related Fields from Taylor & Francis Journals |
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