A compositional semantics for Repairable Fault Trees with general distributions

TitleA compositional semantics for Repairable Fault Trees with general distributions
Publication TypeBook Chapter
Year of Publication2020
AuthorsMonti, RE, Budde, CE, D'Argenio, PR
EditorAlbert, E, Kovács, L
Book TitleLPAR 2020: 23rd International Conference on Logic for Programming, Artificial Intelligence and Reasoning, Alicante, Spain, May 22-27, 2020
Series TitleEPiC Series in Computing
Volume73
Pagination354–372
PublisherEasyChair
AbstractFault Tree Analysis (FTA) is a prominent technique in industrial and scientific risk assessment. Repairable Fault Trees (RFT) enhance the classical Fault Tree (FT) model by introducing the possibility to describe complex dependent repairs of system components. Usual frameworks for analyzing FTs such as BDD, SBDD, and Markov chains fail to assess the desired properties over RFT complex models, either because these become too large, or due to cyclic behaviour introduced by dependent repairs. Simulation is another way to carry out this kind of analysis. In this paper we review the RFT model with Repair Boxes as introduced by Daniele Codetta-Raiteri. We present compositional semantics for this model in terms of Input/Output Stochastic Automata, which allows for the modelling of events occurring according to general continuous distribution. Moreover, we prove that the semantics generates (weakly) deterministic models, hence suitable for discrete event simulation, and prominently for rare event simulation using the FIG tool.
URLhttps://doi.org/10.29007/p16v
DOI10.29007/p16v
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