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Title: Variable ordering schemes to apply to the binary decision diagram methodology for event tree sequences assessment
Authors: C. Ibáñez , E. Meléndez , F. Nieto
Keywords: Probabilistic risk assessment, event tree analysis, binary decision diagrams, variable ordering heuristics
Research topics *RAMS Analysis compliance with the regulations IEC 61508, Quality Control and Assurance
Abstract: Binary decision diagram (BDD) methodology is the most recent approach to improve Boolean reliability models assessment. The final size of the BDD, and therefore the ultimate benefits of this technique, are very sensitive to the initial variable ordering that has to be fixed prior to conversion. Several variable ordering strategies have been proposed in the literature, all of them focused on the treatment of single fault tree models. This paper proposes some extensions of existing variable ordering schemes for the case of combinations of non-disjoint fault trees, as is the case in quantifying sequences of event trees. These extensions work by combining ordering schemes applied to each fault tree, and exploring the cases where variables within the domains intersection are kept together or not. They have been specifically designed to be applied together with an incremental procedure to compute the BDD of the sequence accumulatively and to be used to quantify sequences of dynamic event trees. Preliminary results show the potential of this approach.
Reference: Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
Volume: 222   Number: 1   Pages: 7-16
Publication date:January 2008
DOI reference: DOI icon 10.1243/1748006XJRR67    
Journal Impact Factor: JCR impact factor 0.393 (2011)
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