2011
DOI: 10.1016/j.ress.2010.10.001
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Algebraic determination of the structure function of Dynamic Fault Trees

Abstract: This paper presents an algebraic framework allowing to algebraically model dynamic gates and determine the structure function of any Dynamic Fault Tree (DFT). This structure function can then be exploited to perform both the qualitative and quantitative analysis of DFTs directly, even though this latter aspect is not detailed in this paper. We illustrate our approach on a DFT example from the literature.

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Cited by 66 publications
(57 citation statements)
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“…MCSSs have been analysed for non-repairable DFT gates (Merle, Roussel, & Lesage 2011). However, the analytic solution for repairable systems is complex and remains unsolved.…”
Section: Discussionmentioning
confidence: 99%
“…MCSSs have been analysed for non-repairable DFT gates (Merle, Roussel, & Lesage 2011). However, the analytic solution for repairable systems is complex and remains unsolved.…”
Section: Discussionmentioning
confidence: 99%
“…Rao et al, (2009) discussed the limitation of these methods for solving dynamics gates and they proposed a Monte Carlo Simulation based dynamic fault tree approach as a solution to those limitations. Instead of a simulation approach, an algebraic framework was later proposed to algebraically model the dynamic gates and to determine the structure function of any dynamic fault tree (Merle et al, 2011).…”
Section: Dynamic Fault Tree Analysismentioning
confidence: 99%
“…Fault tree analysis method has become an important tool for analyzing system reliability and safety. In recent years, a number of scholars have been studying fault tree analysis method [2][3][4][5].…”
Section: Introductionmentioning
confidence: 99%