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A Weibull-based recurrent regression model for repairable systems considering double effects of operation and maintenance: A case study of machine tools

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  • Hu, Wei
  • Yang, Zhaojun
  • Chen, Chuanhai
  • Wu, Yue
  • Xie, Qunya

Abstract

The failure processes of repairable systems may be impacted by operational conditions and repair activities. In reliability engineering, many real-life data have a bathtub-shaped failure intensity (FI). In order to handle the relationship between the effects of operational conditions and maintenance and bathtub-shaped FI, this paper proposes a double effects regression model in the context of the Weibull-based general renewal process. The model considers the multiplicative and cumulative effects of operational conditions, indicating both scale and shape parameters of the underlying Weibull distribution can potentially change with operational covariates and virtual age. It extends a recurrent regression model to the case of a bathtub-shaped FI and further provides more flexible FI shapes by setting different ranges of effect coefficients. An efficient parameter estimation procedure is illustrated to support the application of the proposed model. The proposed model is shown to more closely describe the bathtub-shaped failure process through several simulated and real-life examples.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:reensy:v:213:y:2021:i:c:s095183202100209x
    DOI: 10.1016/j.ress.2021.107669
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    1. de Oliveira, Cícero Carlos Felix & Firmino, Paulo Renato Alves & Cristino, Cláudio Tadeu, 2019. "A tool for evaluating repairable systems based on Generalized Renewal Processes," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 281-297.
    2. Ricardo José Ferreira & Paulo Renato Alves Firmino & Cláudio Tadeu Cristino, 2015. "A Mixed Kijima Model Using the Weibull-Based Generalized Renewal Processes," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-17, July.
    3. Joachim Hartung & Dogan Argaç & Kepher Makambi, 2002. "Small sample properties of tests on homogeneity in one—way Anova and Meta—analysis," Statistical Papers, Springer, vol. 43(2), pages 197-235, April.
    4. Izquierdo, J. & Crespo Márquez, A. & Uribetxebarria, J., 2019. "Dynamic artificial neural network-based reliability considering operational context of assets," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 483-493.
    5. Tanwar, Monika & Rai, Rajiv N. & Bolia, Nomesh, 2014. "Imperfect repair modeling using Kijima type generalized renewal process," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 24-31.
    6. Louit, D.M. & Pascual, R. & Jardine, A.K.S., 2009. "A practical procedure for the selection of time-to-failure models based on the assessment of trends in maintenance data," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1618-1628.
    7. Yevkin, Alexander & Krivtsov, Vasiliy, 2020. "A generalized model for recurrent failures prediction," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    8. Ofer Harel, 2009. "The estimation of R2 and adjusted R2 in incomplete data sets using multiple imputation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(10), pages 1109-1118.
    9. Peng, Weiwen & Shen, Lijuan & Shen, Yan & Sun, Qiuzhuang, 2018. "Reliability analysis of repairable systems with recurrent misuse-induced failures and normal-operation failures," Reliability Engineering and System Safety, Elsevier, vol. 171(C), pages 87-98.
    10. Dijoux, Yann, 2009. "A virtual age model based on a bathtub shaped initial intensity," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 982-989.
    11. Hongzhou Li & Zhaojun Yang & Binbin Xu & Chuanhai Chen & Yingnan Kan & Guofei Liu, 2016. "Reliability Evaluation of NC Machine Tools considering Working Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-11, May.
    12. Slimacek, Vaclav & Lindqvist, Bo Henry, 2017. "Nonhomogeneous Poisson process with nonparametric frailty and covariates," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 75-83.
    13. Krivtsov, V. & Yevkin, O., 2013. "Estimation of G-renewal process parameters as an ill-posed inverse problem," Reliability Engineering and System Safety, Elsevier, vol. 115(C), pages 10-18.
    14. Thijssens, O.W.M. & Verhagen, Wim J.C., 2020. "Application of Extended Cox Regression Model to Time-On-Wing Data of Aircraft Repairables," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    15. 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).
    16. Amin Moniri-Morad & Mohammad Pourgol-Mohammad & Hamid Aghababaei & Javad Sattarvand, 2019. "Reliability-based covariate analysis for complex systems in heterogeneous environment: Case study of mining equipment," Journal of Risk and Reliability, , vol. 233(4), pages 593-604, August.
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