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Dynamic fault tree analysis based on continuous-time Bayesian networks under fuzzy numbers

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  • Yan-Feng Li
  • Jinhua Mi
  • Yu Liu
  • Yuan-Jian Yang
  • Hong-Zhong Huang

Abstract

In the calculation of dynamic fault trees, the existing state space–based methods, such as Markov chain method, are basically global-state models, which make the solution procedure very complex. Bayesian networks have become a popular tool to build probability models and conduct inference for reliability design and analysis in various industry fields. The “state explosion†problem can be alleviated by Bayesian networks. Furthermore, to obtain sufficient failure data sets in real engineering systems is extremely difficult and thus causes the parametric uncertainty in failure data. To address these issues, a novel dynamic fault tree analysis method based on the continuous-time Bayesian networks under fuzzy numbers is proposed in this article. The probability distributions under fuzzy numbers for the output variable of dynamic logic gates are determined. The calculation of fuzzy failure probability of a system is presented. Finally, an example is given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Yan-Feng Li & Jinhua Mi & Yu Liu & Yuan-Jian Yang & Hong-Zhong Huang, 2015. "Dynamic fault tree analysis based on continuous-time Bayesian networks under fuzzy numbers," Journal of Risk and Reliability, , vol. 229(6), pages 530-541, December.
    • Handle: RePEc:sae:risrel:v:229:y:2015:i:6:p:530-541
    DOI: 10.1177/1748006X15588446
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    References listed on IDEAS

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    1. Huang, Chin-Yu & Chang, Yung-Ruei, 2007. "An improved decomposition scheme for assessing the reliability of embedded systems by using dynamic fault trees," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1403-1412.
    2. Trucco, P. & Cagno, E. & Ruggeri, F. & Grande, O., 2008. "A Bayesian Belief Network modelling of organisational factors in risk analysis: A case study in maritime transportation," Reliability Engineering and System Safety, Elsevier, vol. 93(6), pages 845-856.
    3. Langseth, Helge & Nielsen, Thomas D. & Rumí, Rafael & Salmerón, Antonio, 2009. "Inference in hybrid Bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1499-1509.
    4. Montani, S. & Portinale, L. & Bobbio, A. & Codetta-Raiteri, D., 2008. "Radyban: A tool for reliability analysis of dynamic fault trees through conversion into dynamic Bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 922-932.
    5. Norrington, Lisa & Quigley, John & Russell, Ashley & Van der Meer, Robert, 2008. "Modelling the reliability of search and rescue operations with Bayesian Belief Networks," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 940-949.
    6. Chiacchio, F. & Cacioppo, M. & D'Urso, D. & Manno, G. & Trapani, N. & Compagno, L., 2013. "A Weibull-based compositional approach for hierarchical dynamic fault trees," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 45-52.
    7. Neil, Martin & Tailor, Manesh & Marquez, David & Fenton, Norman & Hearty, Peter, 2008. "Modelling dependable systems using hybrid Bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 933-939.
    8. Khakzad, Nima & Khan, Faisal & Amyotte, Paul, 2013. "Risk-based design of process systems using discrete-time Bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 5-17.
    9. Durga Rao, K. & Gopika, V. & Sanyasi Rao, V.V.S. & Kushwaha, H.S. & Verma, A.K. & Srividya, A., 2009. "Dynamic fault tree analysis using Monte Carlo simulation in probabilistic safety assessment," Reliability Engineering and System Safety, Elsevier, vol. 94(4), pages 872-883.
    10. Cai, Baoping & Liu, Yonghong & Liu, Zengkai & Tian, Xiaojie & Dong, Xin & Yu, Shilin, 2012. "Using Bayesian networks in reliability evaluation for subsea blowout preventer control system," Reliability Engineering and System Safety, Elsevier, vol. 108(C), pages 32-41.
    11. Graves, T.L. & Hamada, M.S. & Klamann, R. & Koehler, A. & Martz, H.F., 2007. "A fully Bayesian approach for combining multi-level information in multi-state fault tree quantification," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1476-1483.
    12. Wilson, Alyson G. & Huzurbazar, Aparna V., 2007. "Bayesian networks for multilevel system reliability," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1413-1420.
    13. Simeu-Abazi, Zineb & Lefebvre, Arnaud & Derain, Jean-Pierre, 2011. "A methodology of alarm filtering using dynamic fault tree," Reliability Engineering and System Safety, Elsevier, vol. 96(2), pages 257-266.
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    Cited by:

    1. Mi, Jinhua & Li, Yan-Feng & Peng, Weiwen & Huang, Hong-Zhong, 2018. "Reliability analysis of complex multi-state system with common cause failure based on evidential networks," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 71-81.
    2. Zhang, Xiaoqiang & Gao, Huiying & Huang, Hong-Zhong & Li, Yan-Feng & Mi, Jinhua, 2018. "Dynamic reliability modeling for system analysis under complex load," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 345-351.
    3. Li, Xiang-Yu & Li, Yan-Feng & Huang, Hong-Zhong & Zio, Enrico, 2018. "Reliability assessment of phased-mission systems under random shocks," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 352-361.
    4. Li, Xiang-Yu & Huang, Hong-Zhong & Li, Yan-Feng, 2018. "Reliability analysis of phased mission system with non-exponential and partially repairable components," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 119-127.

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