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Semi-parametric estimation of Brown–Proschan preventive maintenance effects and intrinsic wear-out

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  • Doyen, L.

Abstract

A system subject to corrective and preventive maintenance actions is considered. Corrective Maintenance (CM) is done at unpredictable random times and is assumed to have As Bad As Old (ABAO) effects. Preventive Maintenance (PM) is supposed to be done at deterministic predetermined times and to follow a Brown–Proschan (BP) model, i.e., each PM is As Good As New (AGAN) with probability p and ABAO with probability 1−p. In this context a semi-parametric estimation method is proposed: nonparametric estimation of the first time to failure distribution and parametric estimation of the maintenance effect p. This work is original in considering that BP effects (ABAO or AGAN) are unknown or unobserved.

Suggested Citation

  • Doyen, L., 2014. "Semi-parametric estimation of Brown–Proschan preventive maintenance effects and intrinsic wear-out," Computational Statistics & Data Analysis, Elsevier, vol. 77(C), pages 206-222.
    • Handle: RePEc:eee:csdana:v:77:y:2014:i:c:p:206-222
    DOI: 10.1016/j.csda.2014.02.022
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    References listed on IDEAS

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    1. Yeu-Shiang Huang & Chia Yen, 2009. "A study of two-dimensional warranty policies with preventive maintenance," IISE Transactions, Taylor & Francis Journals, vol. 41(4), pages 299-308.
    2. Doyen, L., 2012. "Reliability analysis and joint assessment of Brown–Proschan preventive maintenance efficiency and intrinsic wear-out," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4433-4449.
    3. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
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    6. Gilardoni, Gustavo L. & Oliveira, Maristela D. de & Colosimo, Enrico A., 2013. "Nonparametric estimation and bootstrap confidence intervals for the optimal maintenance time of a repairable system," Computational Statistics & Data Analysis, Elsevier, vol. 63(C), pages 113-124.
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    Cited by:

    1. Nafisah, Ibrahim & Shrahili, Mansour & Alotaibi, Naif & Scarf, Phil, 2019. "Virtual series-system models of imperfect repair," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 604-613.
    2. Huang, Yeu-Shiang & Gau, Wei-Yo & Ho, Jyh-Wen, 2015. "Cost analysis of two-dimensional warranty for products with periodic preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 51-58.
    3. Zantek, Paul F. & Hanson, Timothy & Damien, Paul & Popova, Elmira, 2015. "A decision dependent stochastic process model for repairable systems with applications," Operations Research Perspectives, Elsevier, vol. 2(C), pages 73-80.

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