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Model for imperfect age-based preventive maintenance with age reduction

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  • S El-Ferik

    (King Fahd University of Petroleum and Minerals)

  • M Ben-Daya

    (King Fahd University of Petroleum and Minerals)

Abstract

The effect of ageing on the deterioration rate of most repairable systems cannot be ignored. Preventive maintenance (PM) is performed in the hope of restoring fully the performance of these systems. However, in most practical cases, PM activities will be only able to restore part of the performance. Bridging the gap between theory and practice in this area requires realistic modelling of the effect of PM activities on the failure characteristics of maintainable systems. Several sequential PM models have been developed for predetermined PM interval policies but much less effort has been devoted to age-based ones. The purpose of this paper is to develop an age-based model for imperfect PM. The proposed model incorporates adjustment factor in the effective age of the system. The system undergoes PM either at failure or after a predetermined time interval whichever of them occurs first. After a certain number of such PMs, the system is replaced. The problem is to determine both the optimal number of PMs and the optimal PM's schedule that minimize the total long-term expected cost rate. Model analysis relating to the existence and uniqueness of the optimal solutions is provided. Numerical examples are presented to study the sensitivity of the model to different cost function's factors and to illustrate the use of the algorithm.

Suggested Citation

  • S El-Ferik & M Ben-Daya, 2008. "Model for imperfect age-based preventive maintenance with age reduction," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(12), pages 1644-1651, December.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:12:d:10.1057_palgrave.jors.2602513
    DOI: 10.1057/palgrave.jors.2602513
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    References listed on IDEAS

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    1. Lai, K. K. & Leung, Francis K. N. & Tao, B. & Wang, S. Y., 2000. "Practices of preventive maintenance and replacement for engines: A case study," European Journal of Operational Research, Elsevier, vol. 124(2), pages 294-306, July.
    2. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    3. D. G. Nguyen & D. N. P. Murthy, 1981. "Optimal Preventive Maintenance Policies for Repairable Systems," Operations Research, INFORMS, vol. 29(6), pages 1181-1194, December.
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    Cited by:

    1. Nguyen, Dinh Tuan & Dijoux, Yann & Fouladirad, Mitra, 2017. "Analytical properties of an imperfect repair model and application in preventive maintenance scheduling," European Journal of Operational Research, Elsevier, vol. 256(2), pages 439-453.
    2. Kurt, Murat & Kharoufeh, Jeffrey P., 2010. "Optimally maintaining a Markovian deteriorating system with limited imperfect repairs," European Journal of Operational Research, Elsevier, vol. 205(2), pages 368-380, September.
    3. Wu, Jun & Xie, Min & Adam Ng, Tsan Sheng, 2011. "On a general periodic preventive maintenance policy incorporating warranty contracts and system ageing losses," International Journal of Production Economics, Elsevier, vol. 129(1), pages 102-110, January.

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