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2020 | OriginalPaper | Buchkapitel

Automated Rare Event Simulation for Fault Tree Analysis via Minimal Cut Sets

verfasst von : Carlos E. Budde, Mariëlle Stoelinga

Erschienen in: Measurement, Modelling and Evaluation of Computing Systems

Verlag: Springer International Publishing

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Abstract

Monte Carlo simulation is a common technique to estimate dependability metrics for fault trees. A bottleneck in this technique is the number of samples needed, especially when the interesting events are rare and occur with low probability. Rare Event Simulation ( https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-43024-5_16/492801_1_En_16_IEq1_HTML.gif ) reduces the number of samples when analysing rare events. Importance splitting is a https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-43024-5_16/492801_1_En_16_IEq2_HTML.gif method that spawns more simulation runs from promising system states. How promising a state is, is indicated by an importance function, which concentrates the information that makes this method efficient. Importance functions are given by domain and https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-43024-5_16/492801_1_En_16_IEq3_HTML.gif experts. This hinders re-utilisation and involves decisions entailing potential human error. Focusing in (general) fault trees, in this paper we automatically derive importance functions based on the tree structure. For this we exploit a common fault tree concept, namely cut sets: the more elements from a cut set have failed, the higher the importance. We show that the cut-set-derived importance function is an easy-to-implement and simple concept, that can nonetheless compete against another (more involved) automatic importance function for https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-43024-5_16/492801_1_En_16_IEq4_HTML.gif .

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Fußnoten
1
This is given more thorough semantics in [3] via an output function \(\varvec{z}_i\).
 
2
This complements standard model checking, where time-bounded properties with large time bounds entail memory problems [25].
 
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Metadaten
Titel
Automated Rare Event Simulation for Fault Tree Analysis via Minimal Cut Sets
verfasst von
Carlos E. Budde
Mariëlle Stoelinga
Copyright-Jahr
2020
DOI
https://doi.org/10.1007/978-3-030-43024-5_16