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A preventive maintenance policy for a continuously monitored system with correlated wear indicators

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  • Mercier, Sophie
  • Pham, Hai Ha

Abstract

A continuously monitored system is considered, that gradually and stochastically deteriorates according to a bivariate non-decreasing Lévy process. The system is considered as failed as soon as its bivariate deterioration level enters a failure zone, assumed to be an upper set. A preventive maintenance policy is proposed, which involves a delayed replacement, triggered by the reaching of some preventive zone for the system deterioration level. The preventive maintenance policy is assessed through a cost function on an infinite horizon time. The cost function is provided in full form, and tools are provided for its numerical computation. The influence of different parameters on the cost function is studied, both from a theoretical and/or numerical point of view.

Suggested Citation

  • Mercier, Sophie & Pham, Hai Ha, 2012. "A preventive maintenance policy for a continuously monitored system with correlated wear indicators," European Journal of Operational Research, Elsevier, vol. 222(2), pages 263-272.
    • Handle: RePEc:eee:ejores:v:222:y:2012:i:2:p:263-272
    DOI: 10.1016/j.ejor.2012.05.011
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    References listed on IDEAS

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    1. Eymard, Robert & Mercier, Sophie, 2008. "Comparison of numerical methods for the assessment of production availability of a hybrid system," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 168-177.
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    3. Nader Ebrahimi, 2004. "Indirect assessment of the bivariate survival function," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(3), pages 435-448, September.
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    1. de Jonge, Bram, 2019. "Discretizing continuous-time continuous-state deterioration processes, with an application to condition-based maintenance optimization," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 1-5.
    2. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2018. "Optimal imperfect maintenance cost analysis of a two-component system with failure interactions," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 24-34.
    3. Li, Heping & Deloux, Estelle & Dieulle, Laurence, 2016. "A condition-based maintenance policy for multi-component systems with Lévy copulas dependence," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 44-55.
    4. Fang, Guanqi & Pan, Rong & Wang, Yukun, 2022. "Inverse Gaussian processes with correlated random effects for multivariate degradation modeling," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1177-1193.
    5. de Pater, Ingeborg & Mitici, Mihaela, 2021. "Predictive maintenance for multi-component systems of repairables with Remaining-Useful-Life prognostics and a limited stock of spare components," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    6. MERCIER, Sophie & CASTRO, I.T., 2019. "Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system," European Journal of Operational Research, Elsevier, vol. 273(1), pages 237-248.
    7. Zhang, Aibo & Zhang, Tieling & Barros, Anne & Liu, Yiliu, 2020. "Optimization of maintenances following proof tests for the final element of a safety-instrumented system," Reliability Engineering and System Safety, Elsevier, vol. 196(C).
    8. Cha, Ji Hwan, 2016. "New stochastic models for preventive maintenance and maintenance optimizationAuthor-Name: Lee, Hyunju," European Journal of Operational Research, Elsevier, vol. 255(1), pages 80-90.
    9. Caiyun Niu & Jiang Jiang & Bingfeng Ge & Yingwu Chen, 2022. "Preventive maintenance model based on the renewal-geometric process," Journal of Risk and Reliability, , vol. 236(2), pages 348-356, April.
    10. Liu, Bin & Pandey, Mahesh D. & Wang, Xiaolin & Zhao, Xiujie, 2021. "A finite-horizon condition-based maintenance policy for a two-unit system with dependent degradation processes," European Journal of Operational Research, Elsevier, vol. 295(2), pages 705-717.
    11. Olde Keizer, Minou C.A. & Flapper, Simme Douwe P. & Teunter, Ruud H., 2017. "Condition-based maintenance policies for systems with multiple dependent components: A review," European Journal of Operational Research, Elsevier, vol. 261(2), pages 405-420.
    12. Wang, Ling & Xu, Hong & Yuan, Hua & Zhao, Wenjie & Chen, Xiai, 2015. "Optimizing the re-profiling strategy of metro wheels based on a data-driven wear model," European Journal of Operational Research, Elsevier, vol. 242(3), pages 975-986.
    13. Huynh, K.T. & Vu, H.C. & Nguyen, T.D. & Ho, A.C., 2022. "A predictive maintenance model for k-out-of-n:F continuously deteriorating systems subject to stochastic and economic dependencies," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    14. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    15. 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).
    16. Cai, Yue & Teunter, Ruud H. & de Jonge, Bram, 2023. "A data-driven approach for condition-based maintenance optimization," European Journal of Operational Research, Elsevier, vol. 311(2), pages 730-738.
    17. Wang, Yukun & Li, Xiaopeng & Chen, Junyan & Liu, Yiliu, 2022. "A condition-based maintenance policy for multi-component systems subject to stochastic and economic dependencies," Reliability Engineering and System Safety, Elsevier, vol. 219(C).

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