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Automated generation of partial Markov chain from high level descriptions

Author

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  • Brameret, P.-A.
  • Rauzy, A.
  • Roussel, J.-M.

Abstract

We propose an algorithm to generate partial Markov chains from high level implicit descriptions, namely AltaRica models. This algorithm relies on two components. First, a variation on Dijkstra׳s algorithm to compute shortest paths in a graph. Second, the definition of a notion of distance to select which states must be kept and which can be safely discarded.

Suggested Citation

  • Brameret, P.-A. & Rauzy, A. & Roussel, J.-M., 2015. "Automated generation of partial Markov chain from high level descriptions," Reliability Engineering and System Safety, Elsevier, vol. 139(C), pages 179-187.
    • Handle: RePEc:eee:reensy:v:139:y:2015:i:c:p:179-187
    DOI: 10.1016/j.ress.2015.02.009
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    References listed on IDEAS

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    1. Mercier, Sophie, 2008. "Bounds and approximations for continuous-time Markovian transition probabilities and large systems," European Journal of Operational Research, Elsevier, vol. 185(1), pages 216-234, February.
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    Cited by:

    1. Pierre-Yves Piriou & Jean-Marc Faure & Jean-Jacques Lesage, 2022. "Finding the minimal cut sequences of dynamic, repairable, and reconfigurable systems from Generalized Boolean logic Driven Markov Process models," Journal of Risk and Reliability, , vol. 236(1), pages 209-220, February.
    2. Liang, Qingzhu & Yang, Yinghao & Zhang, Hang & Peng, Changhong & Lu, Jianchao, 2022. "Analysis of simplification in Markov state-based models for reliability assessment of complex safety systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    3. Rauzy, Antoine & Blériot-Fabre, Chaire, 2015. "Towards a sound semantics for dynamic fault trees," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 184-191.
    4. Piriou, Pierre-Yves & Faure, Jean-Marc & Lesage, Jean-Jacques, 2017. "Generalized Boolean logic Driven Markov Processes: A powerful modeling framework for Model-Based Safety Analysis of dynamic repairable and reconfigurable systems," Reliability Engineering and System Safety, Elsevier, vol. 163(C), pages 57-68.
    5. Michel Batteux & Tatiana Prosvirnova & Antoine Rauzy, 2017. "AltaRica 3.0 assertions: The whys and wherefores," Journal of Risk and Reliability, , vol. 231(6), pages 691-700, December.
    6. Meng, Huixing & Kloul, Leïla & Rauzy, Antoine, 2018. "Modeling patterns for reliability assessment of safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 111-123.

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