Abstract
Dynamic fault trees (DFTs) are a versatile and common formalism to model and analyze the reliability of computer-based systems. This paper presents a formal semantics of DFTs in terms of input/output interactive Markov chains (I/O-IMCs), which extend continuous-time Markov chains with discrete input, output and internal actions. This semantics provides a rigorous basis for the analysis of DFTs. Our semantics is fully compositional, that is, the semantics of a DFT is expressed in terms of the semantics of its elements (i.e. basic events and gates). This enables an efficient analysis of DFTs through compositional aggregation, which helps to alleviate the state-space explosion problem by incrementally building the DFT state space. We have implemented our methodology by developing a tool, and showed, through four case studies, the feasibility of our approach and its effectiveness in reducing the state space to be analyzed.
This research has been partially funded by the Netherlands Organisation for Scientific Research (NWO) under FOCUS/BRICKS grant number 642.000.505 (MOQS); the EU under grant number IST-004527 (ARTIST2); and by the DFG/NWO bilateral cooperation programme under project number DN 62-600 (VOSS2).
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Boudali, H., Crouzen, P., Stoelinga, M. (2007). A Compositional Semantics for Dynamic Fault Trees in Terms of Interactive Markov Chains. In: Namjoshi, K.S., Yoneda, T., Higashino, T., Okamura, Y. (eds) Automated Technology for Verification and Analysis. ATVA 2007. Lecture Notes in Computer Science, vol 4762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75596-8_31
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DOI: https://doi.org/10.1007/978-3-540-75596-8_31
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