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Algebraic determination of the structure function of Dynamic Fault Trees

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  • Merle, G.
  • Roussel, J.-M.
  • Lesage, J.-J.

Abstract

This paper presents an algebraic framework allowing to algebraically model dynamic gates and determine the structure function of any Dynamic Fault Tree (DFT). This structure function can then be exploited to perform both the qualitative and quantitative analysis of DFTs directly, even though this latter aspect is not detailed in this paper. We illustrate our approach on a DFT example from the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:96:y:2011:i:2:p:267-277
    DOI: 10.1016/j.ress.2010.10.001
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    References listed on IDEAS

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    1. Yuge, T. & Yanagi, S., 2008. "Quantitative analysis of a fault tree with priority AND gates," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1577-1583.
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    Cited by:

    1. Haiyue Yu & Xiaoyue Wu, 2021. "A method for transformation from dynamic fault tree to binary decision diagram," Journal of Risk and Reliability, , vol. 235(3), pages 416-430, June.
    2. Nguyen, T.P. Khanh & Beugin, Julie & Marais, Juliette, 2015. "Method for evaluating an extended Fault Tree to analyse the dependability of complex systems: Application to a satellite-based railway system," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 300-313.
    3. Xu, Jintao & Gui, Maolei & Ding, Rui & Dai, Tao & Zheng, Mengyan & Men, Xinhong & Meng, Fanpeng & Yu, Tao & Sui, Yang, 2023. "A new approach for dynamic reliability analysis of reactor protection system for HPR1000," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    4. 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.
    5. André Didier & Alexandre Mota, 2016. "An algebra of temporal faults," Information Systems Frontiers, Springer, vol. 18(5), pages 967-980, October.
    6. Gascard, Eric & Simeu-Abazi, Zineb, 2018. "Quantitative Analysis of Dynamic Fault Trees by means of Monte Carlo Simulations: Event-Driven Simulation Approach," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 487-504.
    7. Chiacchio, F. & D’Urso, D. & Manno, G. & Compagno, L., 2016. "Stochastic hybrid automaton model of a multi-state system with aging: Reliability assessment and design consequences," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 1-13.
    8. 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.
    9. Daochuan Ge & Ruoxing Zhang & Qiang Chou & Yanhua Yang, 2015. "Probabilistic model–based multi-integration formulas for quantifying a generalized minimal cut sequence," Journal of Risk and Reliability, , vol. 229(1), pages 73-82, February.
    10. Yılmaz, Emre & German, Brian J. & Pritchett, Amy R., 2023. "Optimizing resource allocations to improve system reliability via the propagation of statistical moments through fault trees," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    11. Chiacchio, Ferdinando & Iacono, Alessandra & Compagno, Lucio & D'Urso, Diego, 2020. "A general framework for dependability modelling coupling discrete-event and time-driven simulation," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    12. Zhou, Siwei & Ye, Luyao & Xiong, Shengwu & Xiang, Jianwen, 2022. "Reliability analysis of dynamic fault trees with Priority-AND gates based on irrelevance coverage model," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    13. Cui, L.X. & Du, Yi-Mu & Sun, C.P., 2023. "On system reliability for time-varying structure," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    14. Daochuan Ge & Meng Lin & Yanhua Yang & Ruoxing Zhang & Qiang Chou, 2015. "Reliability analysis of complex dynamic fault trees based on an adapted K.D. Heidtmann algorithm," Journal of Risk and Reliability, , vol. 229(6), pages 576-586, December.

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