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Modeling dependent competing failure processes with degradation-shock dependence

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  • Fan, Mengfei
  • Zeng, Zhiguo
  • Zio, Enrico
  • Kang, Rui

Abstract

In this paper, we develop a new reliability model for dependent competing failure processes (DCFPs), which accounts for degradation-shock dependence. This is a type of dependence where random shock processes are influenced by degradation processes. The degradation-shock dependence is modeled by assuming that the intensity function of the nonhomogeneous Poisson process describing the random shock processes is dependent on the degradation processes. The dependence effect is modeled with reference to a classification of the random shocks in three “zones†according to their magnitudes, damage zone, fatal zone, and safety zone, with different effects on the system's failure behavior. To the best of the authors’ knowledge, this type of dependence has not yet been considered in reliability models. Monte Carlo simulation is used to calculate the system reliability. A realistic application is presented with regards to the dependent failure behavior of a sliding spool, which is subject to two dependent competing failure processes, wear and clamping stagnation. It is shown that the developed model is capable of describing the dependent competing failure behaviors and their dependence.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:165:y:2017:i:c:p:422-430
    DOI: 10.1016/j.ress.2017.05.004
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    References listed on IDEAS

    as
    1. Khac Tuan Huynh & Inma T. Castro & Anne Barros & Christophe Bérenguer, 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," Post-Print hal-00790729, HAL.
    2. Khac Tuan Huynh & Anne Barros & Christophe Bérenguer & Inma T. Castro, 2011. "A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events," Post-Print hal-00790728, HAL.
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    4. Huynh, K.T. & Castro, I.T. & Barros, A. & Bérenguer, C., 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 140-151.
    5. 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.
    6. Yuan-Jian Yang & Weiwen Peng & Debiao Meng & Shun-Peng Zhu & Hong-Zhong Huang, 2014. "Reliability analysis of direct drive electrohydraulic servo valves based on a wear degradation process and individual differences," Journal of Risk and Reliability, , vol. 228(6), pages 621-630, December.
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    8. Caballé, N.C. & Castro, I.T. & Pérez, C.J. & Lanza-Gutiérrez, J.M., 2015. "A condition-based maintenance of a dependent degradation-threshold-shock model in a system with multiple degradation processes," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 98-109.
    9. Wang, Yujie & Xing, Liudong & Wang, Honggang & Levitin, Gregory, 2015. "Combinatorial analysis of body sensor networks subject to probabilistic competing failures," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 388-398.
    10. 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.
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