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Reliability analysis of coherent systems subject to internal failures and external shocks

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  • Huang, Xianzhen
  • Jin, Sujun
  • He, Xuefeng
  • He, David

Abstract

In reality, a system and its components, apart from internal failures, are often exposed to external shocks as well. Since external shocks have significant effects on the performance of the system, neglecting their effects during reliability analysis of the system leads to large prediction errors and even misleading conclusions. In this paper, we present a new method for reliability analysis of coherent systems subject to internal failures and random external shocks. The cumulative probability of failure (CPF) is used as an index to quantify the effects of random external shocks on the reliability of the components and a three-moment saddlepoint approximation approach is proposed to predict the CPF. In addition, the theory of survival signature is applied to assess the associations of the components of the system to calculate the reliability of the system efficiently. Finally, two numerical examples are utilized to demonstrate the validity and effectiveness of the proposed method.

Suggested Citation

  • Huang, Xianzhen & Jin, Sujun & He, Xuefeng & He, David, 2019. "Reliability analysis of coherent systems subject to internal failures and external shocks," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 75-83.
    • Handle: RePEc:eee:reensy:v:181:y:2019:i:c:p:75-83
    DOI: 10.1016/j.ress.2018.09.003
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    References listed on IDEAS

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    Cited by:

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    3. Yao Li & Frank PA Coolen, 2019. "Time-dependent reliability analysis of wind turbines considering load-sharing using fault tree analysis and Markov chains," Journal of Risk and Reliability, , vol. 233(6), pages 1074-1085, December.
    4. Zhao, Xian & Wang, Siqi & Wang, Xiaoyue & Fan, Yu, 2020. "Multi-state balanced systems in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    5. Tavangar, Mahdi & Hashemi, Marzieh, 2022. "Reliability and maintenance analysis of coherent systems subject to aging and environmental shocks," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    6. Zarezadeh, Somayeh & Ashrafi, Somayeh, 2019. "On preventive maintenance of networks with components subject to external shocks," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    7. Eryilmaz, Serkan & Devrim, Yilser, 2019. "Reliability and optimal replacement policy for a k-out-of-n system subject to shocks," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 393-397.
    8. Xu, Qinqin & Zhu, Yuanguo, 2022. "Reliability modeling of uncertain random fractional differential systems with competitive failures," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    9. Chadjiconstantinidis, Stathis & Eryilmaz, Serkan, 2023. "Reliability of a mixed δ-shock model with a random change point in shock magnitude distribution and an optimal replacement policy," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    10. Eryilmaz, Serkan, 2020. "Age-based preventive maintenance for coherent systems with applications to consecutive-k-out-of-n and related systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    11. Zhou, Jianxiong & Wei, Shanbi & Chai, Yi, 2021. "Using improved dynamic Bayesian networks in reliability evaluation for flexible test system of aerospace pyromechanical device products," Reliability Engineering and System Safety, Elsevier, vol. 210(C).

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