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2015
DOI: 10.1002/qre.1861
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An Efficient Approximate Markov Chain Method in Dynamic Fault Tree Analysis

Abstract: Approximate Markov chain method for dynamic fault tree analysis is suggested for both reparable and non‐reparable systems. The approximation is based on truncation, aggregation and elimination of Markov chain states during the process of dynamic fault tree transformation to corresponding Markov chain. The method is valid for small probabilities. For reparable systems, it is true if mean time to repair is much less than mean time to failure. Several examples are studied. Additional simplification is considered … Show more

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Cited by 56 publications
(37 citation statements)
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“…However, in the real case, each expert has a different weight according to his or her own background such as in job tenure, education, experience, and of course paradigm shift. Consequently, as discussed in Shoar et al, Yevkin, and Yazdi et al, employing a heterogeneous group of expert has enough superiority for precision compared with homogenous one. Thus, in this study, standard method is engaged for weighting experts group selected in a heterogeneous manner …”
Section: Materials and Methodologymentioning
confidence: 99%
“…However, in the real case, each expert has a different weight according to his or her own background such as in job tenure, education, experience, and of course paradigm shift. Consequently, as discussed in Shoar et al, Yevkin, and Yazdi et al, employing a heterogeneous group of expert has enough superiority for precision compared with homogenous one. Thus, in this study, standard method is engaged for weighting experts group selected in a heterogeneous manner …”
Section: Materials and Methodologymentioning
confidence: 99%
“…Aiming at these challenges mentioned above, many efficient diagnostic methods have been proposed. In order to model the dynamic failure characteristics, DFT [6], Markov model [28] and dynamic Bayesian networks (DBN) [9,26] have been proposed to capture the above mentioned dynamic failure behaviors. DFT is widely used to model the dynamic systems as the extensions of the traditional static fault trees with sequence-and function-dependent failure behaviors.…”
Section: Introductionmentioning
confidence: 99%
“…Dynamic fault trees [17], Markov chain models for the lifecycle analysis [18], and Weibull failure analysis [19] may be used for dynamic frequency evaluation and risk assessment update. Moreover, dynamic risk assessment methods were developed in order to evaluate the risk by updating initial failure probabilities of events (causes) and safety barriers as new information are made available during a specific operation [20].…”
Section: Introductionmentioning
confidence: 99%
“…ISO 31000 on risk management [7] and NORSOK z-013 on risk and emergency preparedness analysis [15]) suggest updates of risk analysis in conjunction with major changes in the plant or organization or every five years. Falck et al [16] share such concern and affirm that risk assessment performed for the design phase of a plant is not suitable for the following phases.Dynamic fault trees [17], Markov chain models for the lifecycle analysis [18], and Weibull failure analysis [19] may be used for dynamic frequency evaluation and risk assessment update. Moreover, dynamic risk assessment methods were developed in order to evaluate the risk by updating initial failure probabilities of events (causes) and safety barriers as new information are made available during a specific operation [20].…”
mentioning
confidence: 99%