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Virtual age models with time-dependent covariates: A framework for simulation, parametric inference and quality of estimation

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  • Brenière, Léa
  • Doyen, Laurent
  • Bérenguer, Christophe

Abstract

A repairable system faces some failures and imperfect maintenances throughout its lifetime. If several identical and independent systems are considered together, some differences may arise between the systems, such as the geographical location or the maintenance team for example, which are constant information, or the weather conditions, which vary with time. This observed heterogeneity will influence more or less the failure process. In this paper, we include these data in a generalized virtual age model with the use of covariates. Then we estimate simultaneously the effect of the maintenances, that of the covariates, and the intrinsic wear of the systems. We also propose two simulation methods as well as a numerical estimation procedure. Then we assess the quality of the estimation of the parameters with a thorough simulation study.

Suggested Citation

  • Brenière, Léa & Doyen, Laurent & Bérenguer, Christophe, 2020. "Virtual age models with time-dependent covariates: A framework for simulation, parametric inference and quality of estimation," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:reensy:v:203:y:2020:i:c:s095183202030555x
    DOI: 10.1016/j.ress.2020.107054
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    References listed on IDEAS

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    3. Ait Mokhtar, El Hassene & Laggoune, Radouane & Chateauneuf, Alaa, 2023. "Imperfect maintenance modeling and assessment of repairable multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    4. Syamsundar, A. & Naikan, V.N.A. & Wu, Shaomin, 2021. "Extended Arithmetic Reduction of Age Models for the Failure Process of a Repairable System," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    5. Wu, Shaomin, 2021. "Two methods to approximate the superposition of imperfect failure processes," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    6. Ji, Ziguang & Chen, Yi & Ma, Xiaobing & Cai, Yikun & Yang, Li, 2024. "Hierarchical condition-based maintenance planning for corrosion process considering natural environmental impact," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    7. Brenière, Léa & Doyen, Laurent & Bérenguer, Christophe, 2023. "Optimization of preventive replacements dates and covariate inspections for repairable systems in varying environments," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1126-1141.
    8. Hu, Wei & Yang, Zhaojun & Chen, Chuanhai & Wu, Yue & Xie, Qunya, 2021. "A Weibull-based recurrent regression model for repairable systems considering double effects of operation and maintenance: A case study of machine tools," Reliability Engineering and System Safety, Elsevier, vol. 213(C).

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