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Competing failure analysis in phased-mission systems with functional dependence in one of phases

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  • Wang, Chaonan
  • Xing, Liudong
  • Levitin, Gregory

Abstract

This paper proposes an algorithm for the reliability analysis of non-repairable phased-mission systems (PMS) subject to competing failure propagation and isolation effects. A failure originating from a system component which causes extensive damage to other system components is a propagated failure. When the propagated failure affects all the system components, causing the entire system failure, a propagated failure with global effect (PFGE) is said to occur. However, the failure propagation can be isolated in systems subject to functional dependence (FDEP) behavior, where the failure of a component (referred to as trigger component) causes some other components (referred to as dependent components) to become inaccessible or unusable (isolated from the system), and thus further failures from these dependent components have no effect on the system failure behavior. On the other hand, if any PFGE from dependent components occurs before the trigger failure, the failure propagation effect takes place, causing the overall system failure. In summary, there are two distinct consequences of a PFGE due to the competition between the failure isolation and failure propagation effects in the time domain. Existing works on such competing failures focus only on single-phase systems. However, many real-world systems are phased-mission systems (PMS), which involve multiple, consecutive and non-overlapping phases of operations or tasks. Consideration of competing failures for PMS is a challenging and difficult task because PMS exhibit dynamics in the system configuration and component behavior as well as statistical dependencies across phases for a given component. This paper proposes a combinatorial method to address the competing failure effects in the reliability analysis of binary non-repairable PMS. The proposed method is verified using a Markov-based method through a numerical example. Different from the Markov-based approach that is limited to exponential distribution, the proposed approach has no limitation on the type of time-to-failure distributions for the system components. A case study is given to illustrate such advantage of the proposed method.

Suggested Citation

  • Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2012. "Competing failure analysis in phased-mission systems with functional dependence in one of phases," Reliability Engineering and System Safety, Elsevier, vol. 108(C), pages 90-99.
  • Handle: RePEc:eee:reensy:v:108:y:2012:i:c:p:90-99
    DOI: 10.1016/j.ress.2012.07.004
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    References listed on IDEAS

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    1. Liudong Xing & Chaonan Wang & Gregory Levitin, 2012. "Competing failure analysis in non-repairable binary systems subject to functional dependence," Journal of Risk and Reliability, , vol. 226(4), pages 406-416, August.
    2. 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.
    3. A Shrestha & L Xing, 2008. "Improved modular reliability analyses of hybrid phased mission systems," Journal of Risk and Reliability, , vol. 222(4), pages 507-520, December.
    4. Xing, Liudong & Levitin, Gregory, 2010. "Combinatorial analysis of systems with competing failures subject to failure isolation and propagation effects," Reliability Engineering and System Safety, Elsevier, vol. 95(11), pages 1210-1215.
    5. Levitin, Gregory & Xing, Liudong, 2010. "Reliability and performance of multi-state systems with propagated failures having selective effect," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 655-661.
    6. Xing, Liudong & Amari, Suprasad V. & Wang, Chaonan, 2012. "Reliability of k-out-of-n systems with phased-mission requirements and imperfect fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 45-50.
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    Cited by:

    1. Zhao, Guilin & Xing, Liudong, 2020. "Reliability analysis of IoT systems with competitions from cascading probabilistic function dependence," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    2. Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2013. "Reliability analysis of multi-trigger binary systems subject to competing failures," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 9-17.
    3. Peng, Rui & Wu, Di & Xiao, Hui & Xing, Liudong & Gao, Kaiye, 2019. "Redundancy versus protection for a non-reparable phased-mission system subject to external impacts," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    4. Peng, Rui & Zhai, Qingqing & Xing, Liudong & Yang, Jun, 2014. "Reliability of demand-based phased-mission systems subject to fault level coverage," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 18-25.
    5. Jung, Woo Sik, 2015. "A method to improve cutset probability calculation in probabilistic safety assessment of nuclear power plants," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 134-142.
    6. Tang, Maochun & Xiahou, Tangfan & Liu, Yu, 2023. "Mission performance analysis of phased-mission systems with cross-phase competing failures," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    7. Chen, Ying & Yang, Liu & Ye, Cui & Kang, Rui, 2015. "Failure mechanism dependence and reliability evaluation of non-repairable system," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 273-283.
    8. Zeng, Zhiguo & Barros, Anne & Coit, David, 2023. "Dependent failure behavior modeling for risk and reliability: A systematic and critical literature review," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    9. Xiahou, Tangfan & Zheng, Yi-Xuan & Liu, Yu & Chen, Hong, 2023. "Reliability modeling of modular k-out-of-n systems with functional dependency: A case study of radar transmitter systems," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    10. Chen, Ying & Li, YingYi & Kang, Rui & Ali, Mosleh, 2020. "Reliability analysis of PMS with failure mechanism accumulation rules and a hierarchical method," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    11. 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.
    12. Wang, Yujie & Xing, Liudong & Levitin, Gregory & Huang, Ning, 2018. "Probabilistic competing failure analysis in phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 37-51.
    13. 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.
    14. Wang, Chaonan & Liu, Qiongyang & Xing, Liudong & Guan, Quanlong & Yang, Chunhui & Yu, Min, 2022. "Reliability analysis of smart home sensor systems subject to competing failures," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    15. Wang, Chaonan & Xing, Liudong & Peng, Rui & Pan, Zhusheng, 2017. "Competing failure analysis in phased-mission systems with multiple functional dependence groups," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 24-33.
    16. Zhao, Guilin & Xing, Liudong, 2021. "Reliability analysis of body sensor networks subject to random isolation time," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
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    18. Fan, Mengfei & Zeng, Zhiguo & Zio, Enrico & Kang, Rui, 2017. "Modeling dependent competing failure processes with degradation-shock dependence," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 422-430.

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