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Preventive maintenance models with random maintenance quality

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  • Wu, Shaomin
  • Clements-Croome, Derek

Abstract

In real-world environments it is usually difficult to specify the quality of a preventive maintenance (PM) action precisely. This uncertainty makes it problematic to optimise maintenance policy. This problem is tackled in this paper by assuming that the quality of a PM action is a random variable following a probability distribution. Two frequently studied PM models, a failure rate PM model and an age reduction PM model, are investigated. The optimal PM policies are presented and optimised. Numerical examples are also given.

Suggested Citation

  • Wu, Shaomin & Clements-Croome, Derek, 2005. "Preventive maintenance models with random maintenance quality," Reliability Engineering and System Safety, Elsevier, vol. 90(1), pages 99-105.
    • Handle: RePEc:eee:reensy:v:90:y:2005:i:1:p:99-105
    DOI: 10.1016/j.ress.2005.03.012
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    References listed on IDEAS

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    1. Scarf, Philip A., 1997. "On the application of mathematical models in maintenance," European Journal of Operational Research, Elsevier, vol. 99(3), pages 493-506, June.
    2. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    3. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
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    Cited by:

    1. Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George, 2019. "Extended optimal preventive replacement policies with random working cycle," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 398-415.
    2. Zhao, Xufeng & Mizutani, Satoshi & Nakagawa, Toshio, 2015. "Which is better for replacement policies with continuous or discrete scheduled times?," European Journal of Operational Research, Elsevier, vol. 242(2), pages 477-486.
    3. Yan, Tao & Lei, Yaguo & Wang, Biao & Han, Tianyu & Si, Xiaosheng & Li, Naipeng, 2020. "Joint maintenance and spare parts inventory optimization for multi-unit systems considering imperfect maintenance actions," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    4. Hughes, William & Zhang, Wei & Bagtzoglou, Amvrossios C. & Wanik, David & Pensado, Osvaldo & Yuan, Hao & Zhang, Jintao, 2021. "Damage modeling framework for resilience hardening strategy for overhead power distribution systems," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    5. Wu, Shaomin & Longhurst, Phil, 2011. "Optimising age-replacement and extended non-renewing warranty policies in lifecycle costing," International Journal of Production Economics, Elsevier, vol. 130(2), pages 262-267, April.
    6. Öhman, Mikael & Finne, Max & Holmström, Jan, 2015. "Measuring service outcomes for adaptive preventive maintenance," International Journal of Production Economics, Elsevier, vol. 170(PB), pages 457-467.
    7. Andrade, Antonio Ramos & Stow, Julian, 2017. "Assessing the potential cost savings of introducing the maintenance option of ‘Economic Tyre Turning’ in Great Britain railway wheelsets," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 317-325.
    8. Sanchez, Ana & Carlos, Sofia & Martorell, Sebastian & Villanueva, Jose F., 2009. "Addressing imperfect maintenance modelling uncertainty in unavailability and cost based optimization," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 22-32.
    9. Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George & Tsai, Hsin-Nan, 2018. "The generalized age maintenance policies with random working times," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 503-514.
    10. Zhao, Xufeng & Liu, Hu-Chen & Nakagawa, Toshio, 2015. "Where does “whichever occurs first†hold for preventive maintenance modelings?," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 203-211.
    11. Zhou, Yu & Kou, Gang & Xiao, Hui & Peng, Yi & Alsaadi, Fawaz E., 2020. "Sequential imperfect preventive maintenance model with failure intensity reduction with an application to urban buses," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    12. Wu, Shaomin, 2012. "Assessing maintenance contracts when preventive maintenance is outsourced," Reliability Engineering and System Safety, Elsevier, vol. 98(1), pages 66-72.
    13. Khatab, A. & Aghezzaf, E.-H., 2016. "Selective maintenance optimization when quality of imperfect maintenance actions are stochastic," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 182-189.
    14. Clavareau, Julien & Labeau, Pierre-Etienne, 2009. "Maintenance and replacement policies under technological obsolescence," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 370-381.
    15. Wenke Gao, 2020. "An extended geometric process and its application in replacement policy," Journal of Risk and Reliability, , vol. 234(1), pages 88-103, February.
    16. Chaoqun Duan & Chao Deng & Bingran Wang, 2019. "Multi-phase sequential preventive maintenance scheduling for deteriorating repairable systems," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1779-1793, April.
    17. Wu, Shaomin & Li, Huiqing, 2007. "Warranty cost analysis for products with a dormant state," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1285-1293, November.
    18. P-E Labeau & M-C Segovia, 2011. "Effective age models for imperfect maintenance," Journal of Risk and Reliability, , vol. 225(2), pages 117-130, June.
    19. Clavareau, Julien & Labeau, Pierre-Etienne, 2009. "A Petri net-based modelling of replacement strategies under technological obsolescence," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 357-369.

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