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A virtual age model based on a bathtub shaped initial intensity

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  • Dijoux, Yann

Abstract

This paper presents a new reliability model for complex repairable systems, which combines a bathtub shaped ageing and imperfect maintenance. A bathtub shaped initial intensity function allows to take into account the burn-in period, the useful life and wear out of the systems. Repair effect is expressed by a reduction of the system virtual age, which depends on the ageing of the system. The main characteristics of the model are derived. The most important one is that the maintenance efficiency allows an extension of the system useful life duration. A statistical analysis of the model and an application to real failure data are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:5:p:982-989
    DOI: 10.1016/j.ress.2008.11.004
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    References listed on IDEAS

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    1. Bebbington, Mark & Lai, Chin-Diew & Zitikis, RiÄ ardas, 2007. "A flexible Weibull extension," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 719-726.
    2. Finkelstein, Maxim, 2007. "On statistical and information-based virtual age of degrading systems," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 676-681.
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    Cited by:

    1. Dewan, Isha & Dijoux, Yann, 2015. "Modelling repairable systems with an early life under competing risks and asymmetric virtual age," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 215-224.
    2. Zheng, Rui & Zhao, Xufeng & Hu, Chaoming & Ren, Xiangyun, 2023. "A repair-replacement policy for a system subject to missions of random types and random durations," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    3. 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.
    4. 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).
    5. Remy, Emmanuel & Corset, Franck & Despréaux, Stéphane & Doyen, Laurent & Gaudoin, Olivier, 2013. "An example of integrated approach to technical and economic optimization of maintenance," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 8-19.
    6. Lucianne Varn & Stefanka Chukova & Richard Arnold, 2019. "A stochastic process for modeling failures of a system having a non-monotonic hazard rate function," Journal of Risk and Reliability, , vol. 233(5), pages 731-746, October.

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