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Condition-based maintenance strategies for stochastically dependent systems using Nested Lévy copulas

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  • Li, Heping
  • Zhu, Wenjin
  • Dieulle, Laurence
  • Deloux, Estelle

Abstract

Nowadays, industrial systems are more and more complex and components are integrated dependently. Without consideration of dependence between components often leads to overestimate the reliability of system and high maintenance cost. In this paper, a multi-component system with hierarchical stochastic dependencies is considered. Components within subsystem are strongly correlated and dependence between subsystems is heterogeneous. Thanks to its capacity of modeling asymmetric dependence structures, the Nested Lévy copula is used in this paper. Based on the multiple sources of dependence among components and hierarchical structures, a novel condition-based maintenance policy is proposed. The inspection scheme as well as maintenance decision is dynamically planned according to the collected inspection information and the influence of stochastic dependence is investigated. The numerical results show the efficiency and robustness of proposed maintenance policy on reducing the inspection and maintenance cost.

Suggested Citation

  • Li, Heping & Zhu, Wenjin & Dieulle, Laurence & Deloux, Estelle, 2022. "Condition-based maintenance strategies for stochastically dependent systems using Nested Lévy copulas," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    • Handle: RePEc:eee:reensy:v:217:y:2022:i:c:s0951832021005457
    DOI: 10.1016/j.ress.2021.108038
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    Cited by:

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    3. Lijun Shang & Xiguang Yu & Yongjun Du & Anquan Zou & Qingan Qiu, 2022. "An Optimal Random Hybrid Maintenance Policy of Systems under a Warranty with Rebate and Charge," Mathematics, MDPI, vol. 10(18), pages 1-19, September.
    4. Wu, Xin & Huang, Tingting & Liu, Jie, 2023. "Common stochastic effects induced multivariate degradation process with temporal dependency in degradation characteristic and unit dimensions," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    5. Wu, Shaomin, 2024. "A copula-based approach to modelling the failure process of items under two-dimensional warranty and applications," European Journal of Operational Research, Elsevier, vol. 314(3), pages 854-866.
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    7. Kim, Seokgoo & Choi, Joo-Ho & Kim, Nam Ho, 2022. "Inspection schedule for prognostics with uncertainty management," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
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    9. Wang, Yukun & Gao, Weizheng & Li, Xiaopeng & Liu, Yiliu, 2024. "Joint optimization of performance-based contracting, condition-based maintenance and spare parts inventory for degrading production systems," Reliability Engineering and System Safety, Elsevier, vol. 243(C).

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