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Generalized Boolean logic Driven Markov Processes: A powerful modeling framework for Model-Based Safety Analysis of dynamic repairable and reconfigurable systems

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  • Piriou, Pierre-Yves
  • Faure, Jean-Marc
  • Lesage, Jean-Jacques

Abstract

This paper presents a modeling framework that permits to describe in an integrated manner the structure of the critical system to analyze, by using an enriched fault tree, the dysfunctional behavior of its components, by means of Markov processes, and the reconfiguration strategies that have been planned to ensure safety and availability, with Moore machines. This framework has been developed from BDMP (Boolean logic Driven Markov Processes), a previous framework for dynamic repairable systems. First, the contribution is motivated by pinpointing the limitations of BDMP to model complex reconfiguration strategies and the failures of the control of these strategies. The syntax and semantics of GBDMP (Generalized Boolean logic Driven Markov Processes) are then formally defined; in particular, an algorithm to analyze the dynamic behavior of a GBDMP model is developed. The modeling capabilities of this framework are illustrated on three representative examples. Last, qualitative and quantitative analysis of GDBMP models highlight the benefits of the approach.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:163:y:2017:i:c:p:57-68
    DOI: 10.1016/j.ress.2017.02.001
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    References listed on IDEAS

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    1. Merle, G. & Roussel, J.-M. & Lesage, J.-J., 2011. "Algebraic determination of the structure function of Dynamic Fault Trees," Reliability Engineering and System Safety, Elsevier, vol. 96(2), pages 267-277.
    2. Ge, Daochuan & Lin, Meng & Yang, Yanhua & Zhang, Ruoxing & Chou, Qiang, 2015. "Quantitative analysis of dynamic fault trees using improved Sequential Binary Decision Diagrams," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 289-299.
    3. Levitin, Gregory & Amari, Suprasad V., 2008. "Multi-state systems with multi-fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1730-1739.
    4. Peng, Rui & Mo, Huadong & Xie, Min & Levitin, Gregory, 2013. "Optimal structure of multi-state systems with multi-fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 18-25.
    5. 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.
    6. 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.
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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. Taleb-Berrouane, Mohammed & Khan, Faisal & Amyotte, Paul, 2020. "Bayesian Stochastic Petri Nets (BSPN) - A new modelling tool for dynamic safety and reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    3. Desgeorges, Loïc & Piriou, Pierre-Yves & Lemattre, Thibault & Chraibi, Hassane, 2021. "Formalism and semantics of PyCATSHOO: A simulator of distributed stochastic hybrid automata," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    4. 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).
    5. Nejad, Hamed S. & Parhizkar, Tarannom & Mosleh, Ali, 2022. "Automatic generation of event sequence diagrams for guiding simulation based dynamic probabilistic risk assessment (SIMPRA) of complex systems," Reliability Engineering and System Safety, Elsevier, vol. 222(C).

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