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Importance measure of probabilistic common cause failures under system hybrid uncertainty based on bayesian network

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Warianty tytułu
PL
Oparta na sieci bayesowskiej miara ważności probabilistycznych uszkodzeń spowodowanych wspólną przyczyną w warunkach niepewności hybrydowej systemu
Języki publikacji
EN
Abstrakty
EN
When dealing with modern complex systems, the relationship existing between components can lead to the appearance of various dependencies between component failures, where multiple items of the system fail simultaneously in unpredictable fashions. These probabilistic common cause failures affect greatly the performance of these critical systems. In this paper a novel methodology is developed to quantify the importance of common cause failures when hybrid uncertainties are presented in systems. First, the probabilistic common cause failures are modeled with Bayesian networks and are incorporated into the system exploiting the α factor model. Then, probability-boxes (bound analysis method) are introduced to model the hybrid uncertainties and quantify the effect of uncertainties on system reliability. Furthermore, an extended Birnbaum importance measure is defined to identify the critical common cause failure events and coupling impact factors when uncertainties are expressed by probability-boxes. Finally, the effectiveness of the method is demonstrated through a numerical example.
PL
W przypadku nowoczesnych systemów złożonych, relacje zachodzące między komponentami mogą prowadzić do pojawienia się różnych zależności między ich uszkodzeniami, a tym samym do sytuacji w których kilka składowych systemu ulega uszkodzeniu jednocześnie w nieprzewidywalny sposób. Tego typu probabilistyczne uszkodzenia wywołane wspólną przyczyną (PCCF) mają ogromny wpływ na wydajność tych kluczowych systemów. W przedstawionym artykule opracowano nową metodę szacowania ważności PCFF w sytuacjach, gdy w systemie występują niepewności hybrydowe. W pierwszej kolejności, PCFF zamodelowano za pomocą sieci bayesowskich i włączono do systemu wykorzystującego model współczynnika α. Następnie, wprowadzono przedziały prawdopodobieństwa, tzw. probability boxes (bound analysis method), w celu zamodelowania niepewności hybrydowych i kwantyfikacji wpływu tych niepewności na niezawodność systemu. Ponadto zdefiniowano rozszerzoną miarę ważności Birnbauma, która pozwala zidentyfikować krytyczne zdarzenia PCCF oraz czynniki, które je wywołały, w przypadkach, gdy niepewności wyrażone są za pomocą probability boxes. Skuteczność metody wykazano na przykładzie numerycznym.
Rocznik
Strony
111--120
Opis fizyczny
Bibliogr. 34 poz., rys., tab.
Twórcy
autor
  • School of Automation Engineering, University of Electronic Science and Technology of China, No.2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu, Sichuan, 611731, P.R. China
autor
  • Center for System Reliability and Safety, University of Electronic Science and Technology of China, No.2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu, Sichuan, 611731, P.R. China
autor
  • Institute for Risk and Reliability, Leibniz University Hannover, Callinstr. 34, Hannover, 30167, Germany
  • Institute for Risk and Reliability, Leibniz University Hannover, Callinstr. 34, Hannover, 30167, Germany
autor
  • School of Automation Engineering, University of Electronic Science and Technology of China, No.2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu, Sichuan, 611731, P.R. China
Bibliografia
  • 1. Alizadeh S, Sriramula S. Impact of common cause failure on reliability performance of redundant safety related systems subject to process demand. Reliability Engineering & System Safety, 2018; 172: 129-150, https://doi.org/10.1016/j.ress.2017.12.011.
  • 2. Birnbaum ZW. On the importance of different components in a multicomponent system. In Multivariate Analysis, II, Academic Press, New York 1968: 581-592, https://doi.org/10.21236/AD0670563.
  • 3. Boudali H, Dugan JB. A continuous-time Bayesian network reliability modeling, and analysis framework. IEEE Transactions on Reliability 2006; 51(1): 86-97, https://doi.org/10.1109/TR.2005.859228.
  • 4. Dannert MM, Fau A, Fleury RMN, Broggi M. A probability-box approach on uncertain correlation lengths by stochastic finite element method. Proceeding in Applied Mathematics and Mechanics 2018; 18(1): e201800114, https://doi.org/10.1002/pamm.201800114.
  • 5. Feng G, George-Williams H, Patelli E, Coolen FPA, Beer M. An efficient reliability analysis on complex non-repairable systems with common-cause failures. Safety and Reliability-Safe Societies in a Changing World. CRC Press 2018: 2531-2537, https://doi.org/10.1201/9781351174664-318.
  • 6. Ferson S, Hajagos J, Berleant D, Zhang J, Tucker WT, Ginzburg L, Oberkampf W. Dependence in Dempster-Shafer theory and probability bounds analysis. Sandia National Laboratories 2004.
  • 7. Ferson S, Nelsen RB, Hajagos J, Berleant DJ, Zhang J, Tucker WT, Oberkampf WL. Dependence in probabilistic modeling, Dempster-Shafer theory, and probability bounds analysis. Sandia National Laboratories 2015.
  • 8. Karanki DR, Kushwaha HS, Verma AK, Ajit S. Uncertainty analysis based on probability bounds (p‐box) approach in probabilistic safety assessment. Risk Analysis: An International Journal 2009; 29(5): 662-675, https://doi.org/10.1111/j.1539-6924.2009.01221.x.
  • 9. Le Duy TD, Vasseur D. A practical methodology for modeling and estimation of common cause failure parameters in multi-unit nuclear PSA model. Reliability Engineering & System Safety 2018; 170: 159-174, https://doi.org/10.1016/j.ress.2017.10.018.
  • 10. Li H, Huang HZ, Li YF, Zhou J, Mi J. Physics of failure-based reliability prediction of turbine blades using multi-source information fusion. Applied Soft Computing 2018; 72: 624-635, https://doi.org/10.1016/j.asoc.2018.05.015.
  • 11. Li YF, Huang HZ, Mi J, Peng W, Han X. Reliability analysis of multi-state systems with common cause failures based on Bayesian network and fuzzy probability. Annals of Operations Research 2019: 1-15, https://doi.org/10.1007/s10479-019-03247-6.
  • 12. Li YF, Mi J, Liu Y, Yang YJ, Huang HZ. Dynamic fault tree analysis based on continuous-time Bayesian networks under fuzzy numbers. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 2015; 229(6): 530-541, https://doi.org/10.1177/1748006X15588446.
  • 13. Li YF, Mi J, Huang HZ, Zhu SP, Xiao N. Fault tree analysis of train rear-end collision accident considering common cause failure. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2013; 15(4): 403-408.
  • 14. Mi J, Cheng Y, Song Y, Bai L, Chen K. Application of dynamic evidential networks in reliability analysis of complex systems with epistemic uncertainty and multiple life distributions. Annals of Operations Research 2019: 1-23, https://doi.org/10.1007/s10479-019-03211-4.
  • 15. Mi J, Li YF, Liu Y, Yang YJ, Huang HZ. Belief universal generating function analysis of multi-state systems under epistemic uncertainty and common cause failures. IEEE Transactions on Reliability 2015; 64(4): 1300-1309, https://doi.org/10.1109/TR.2015.2419620.
  • 16. Mi J, Li YF, Peng W, Yang YJ, Huang HZ. Fault tree analysis of feeding control system for computer numerical control heavy-duty horizontal lathes with multiple common cause failure groups. Journal of Shanghai Jiaotong University (Science) 2016; 21(4): 504-508, https://doi.org/10.1007/s12204-016-1755-7.
  • 17. Mi J, Li YF, Peng W, Huang HZ. Reliability analysis of complex multi-state system with common cause failure based on evidential networks. Reliability Engineering & System Safety 2018; 174: 71-81, https://doi.org/10.1016/j.ress.2018.02.021.
  • 18. Mi J, Li YF, Yang YJ, Peng W, Huang HZ. Reliability assessment of complex electromechanical systems under epistemic uncertainty. Reliability Engineering & System Safety 2016; 152: 1-15, https://doi.org/10.1016/j.ress.2016.02.003.
  • 19. O'Connor AN. A general cause based methodology for analysis of dependent failures in system risk and reliability assessments, University of Maryland, 2013.
  • 20. O'Connor AN, Mosleh A. Extending the alpha factor model for cause based treatment of common cause failure events in PRA and event assessment. Proceedings of the 12th probabilistic safety assessment & management conference (PSAM12) 2014.
  • 21. Qiu S, Ming HXG, Hou Y. An evidential network-based method for common-cause failure analysis under uncertainty. In Safety and Reliablity-Safe Societies in a Changing World, Haugen et al. (eds), 2018: 2365-2372, https://doi.org/10.1201/9781351174664-297.
  • 22. Sakurahara T, Schumock G, Reihani S, Kee E, Mohaghegh Z. Simulation-informed probabilistic methodology for common cause failure analysis. Reliability Engineering & System Safety 2019; 185: 84-99, https://doi.org/10.1016/j.ress.2018.12.007.
  • 23. Song Y, Mi J, Cheng Y, Bai L, Wang X. Application of discrete‐time Bayesian network on reliability analysis of uncertain system with common cause failure. Quality and Reliability Engineering International 2019; 35(4): 1025-1045, https://doi.org/10.1002/qre.2443.
  • 24. Tucker WT, Ferson S. Probability bounds analysis in environmental risk assessment. Applied Biomathematics, Setauket, New York, 2003.
  • 25. Wang C, Matthies HG, Xu M, Li Y. Dual interval-and-fuzzy analysis method for temperature prediction with hybrid epistemic uncertainties via polynomial chaos expansion. Computer Methods in Applied Mechanics and Engineering 2018; 336: 171-186, https://doi.org/10.1016/j. cma.2018.03.013.
  • 26. Wang C, Xing L, Levitin G. Explicit and implicit methods for probabilistic common-cause failure analysis. Reliability Engineering & System Safety 2014; 131: 175-184, https://doi.org/10.1016/j.ress.2014.06.024.
  • 27. Wang C, Xing L, Levitin G. Probabilistic common cause failures in phased-mission systems. Reliability Engineering & System Safety 2015; 144: 53-60, https://doi.org/10.1016/j.ress.2015.07.004.
  • 28. Wang L, Xiong C, Yang Y. A novel methodology of reliability-based multidisciplinary design optimization under hybrid interval and fuzzy uncertainties. Computer Methods in Applied Mechanics and Engineering 2018; 337: 439-457, https://doi.org/10.1016/j.cma.2018.04.003.
  • 29. Wei P, Lu Z, Song J. Variable importance analysis: a comprehensive review. Reliability Engineering & System Safety 2015; 142: 399-432, https://doi.org/10.1016/j.ress.2015.05.018.
  • 30. Xie L, Lundteigen MA, Liu YL. Safety barriers against common cause failure and cascading failure: literature reviews and modeling strategies, 2018 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM). IEEE) 2018: 122-127, https://doi.org/10.1109/IEEM.2018.8607769.
  • 31. Zhang M, Zhang Z, Mosleh A, Chen S. Common cause failure model updating for risk monitoring in nuclear power plants based on alpha factor model. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 2017; 231(3): 209-220, https://doi.org/10.1177/1748006X16689542.
  • 32. Zhang X, Gao H, Huang HZ, Li YF, Mi J. Dynamic reliability modeling for system analysis under complex load. Reliability Engineering & System Safety, 201;180: 345-351, https://doi.org/10.1016/j.ress.2018.07.025.
  • 33. Zhu P, Han J, Liu L, Lombardi F. A stochastic approach for the analysis of dynamic fault trees with spare gates under probabilistic common cause failures. IEEE Transactions on Reliability 2015; 64(3): 878-892, https://doi.org/10.1109/TR.2015.2419214.
  • 34. Zuo L, Xiahou T, Liu Y. Reliability assessment of systems subject to interval-valued probabilistic common cause failure by evidential networks. Journal of Intelligent & Fuzzy Systems 2019; 36(4): 3711-3723, https://doi.org/10.3233/JIFS-18290.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5857da5d-2a9d-4acb-a2ba-7048ba349e6c
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