Quantitative Analysis of Dynamic Fault Trees Based on the Coupling of Structure Functions and Monte Carlo Simulation

Jean-Jacques Lesage · Vianney Perchet · Nicolas Vayatis

42 citations0/0 files storedQuality and Reliability Engineering International

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Risk and Safety Analysis Reliability and Maintenance Optimization Engineering and Test Systems

Abstract

This paper focuses on the quantitative analysis of Dynamic Fault Trees (DFTs) by means of Monte Carlo simulation. In a previous article, we defined an algebraic framework allowing to determine the structure function of DFTs. We exploit this structure function and the minimal cut sequences that it allows to determine, to know the failure mode configuration of the system, which is an input of Monte Carlo simulation. We show that the results obtained are in good accordance with theoretical results and that some results, such as importance measures and sensitivity indexes, are not provided by common quantitative analysis and yet interesting. We finally illustrate our approach on a DFT example from the literature. Copyright © 2014 John Wiley & Sons, Ltd.

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References

1984Discrete-Event System Simulation 1973Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. I Theory 2008Dynamic fault tree analysis using Monte Carlo simulation in probabilistic safety assessment 2000Developing a low-cost high-quality software tool for dynamic fault-tree analysis 2007Dynamic Fault Tree Analysis Using Input/Output Interactive Markov Chains 2015Generalized hoeffding-sobol decomposition for dependent variables -application to sensitivity analysis 2010Probabilistic Algebraic Analysis of Fault Trees With Priority Dynamic Gates and Repeated Events 2004Minimal cut set/sequence generation for dynamic fault trees

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