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

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Translated title of the contributionOparta na sieci bayesowskiej miara ważności probabilistycznych uszkodzeń spowodowanych wspólną przyczyną w warunkach niepewności hybrydowej systemu
Original languageEnglish
Pages (from-to)112-120
Number of pages9
JournalEksploatacja i Niezawodnosc
Volume22
Issue number1
Publication statusPublished - 2020

Abstract

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.

Keywords

    Bayesian network, Extended Birnbaum importance, Probabilistic common cause failure, α factor model

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Importance measure of probabilistic common cause failures under system hybrid uncertainty based on Bayesian network. / Mi, Jinhua; Li, Yan-Feng; Beer, Michael et al.
In: Eksploatacja i Niezawodnosc, Vol. 22, No. 1, 2020, p. 112-120.

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abstract = "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.",
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AU - Mi, Jinhua

AU - Li, Yan-Feng

AU - Beer, Michael

AU - Broggi, Matteo

AU - Cheng, Yuhua

N1 - Funding information: This work was partially supported by the National Natural Science Foundation of China under contract No. 51805073 and U1830207, the Chinese Universities Scientific Fund under contract No. ZYGX2018J061, the Sichuan Science and Technology Project under contract No. 2019JDJQ0015. Jinhua Mi wishes to acknowledge the financial support of the China Scholarship Council.

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KW - Bayesian network

KW - Extended Birnbaum importance

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