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Optimal imperfect maintenance strategy for leased equipment

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  • Ben Mabrouk, A.
  • Chelbi, A.
  • Radhoui, M.

Abstract

This paper presents a preventive maintenance (PM) policy for leased equipment over a finite lease period L. Maintenance is entrusted to the lessor. The purpose is to determine the PM period T minimizing the expected total cost over the lease period in a context where repairs and PM actions are imperfect and have non-negligible durations. The leased equipment is periodically subjected to imperfect PM restoring it to the state ‘as good as new’ with probability p and keeping it at state ‘as bad as old’ with probability q. In case of failures between successive PM actions, imperfect repairs are performed with a given efficiency following a decreasing quasi-renewal process. Besides the maintenance costs, the lessor may incur a penalty cost if the total expected equipment downtime due to repair and PM during the lease period exceeds a pre-specified threshold. A mathematical model and a numerical algorithm are developed to find the optimal maintenance strategy T* over the lease period for any given set of input parameters (equipment reliability, the lease period length, the repair and PM efficiency levels, and the maintenance and penalty costs). A numerical example is presented and the obtained results are discussed.

Suggested Citation

  • Ben Mabrouk, A. & Chelbi, A. & Radhoui, M., 2016. "Optimal imperfect maintenance strategy for leased equipment," International Journal of Production Economics, Elsevier, vol. 178(C), pages 57-64.
    • Handle: RePEc:eee:proeco:v:178:y:2016:i:c:p:57-64
    DOI: 10.1016/j.ijpe.2016.04.024
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    References listed on IDEAS

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    Cited by:

    1. Xia, Tangbin & Sun, Bowen & Chen, Zhen & Pan, Ershun & Wang, Hao & Xi, Lifeng, 2021. "Opportunistic maintenance policy integrating leasing profit and capacity balancing for serial-parallel leased systems," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    2. Xinlong Li & Yan Ran & Fangming Wan & Hui Yu & Genbao Zhang & Yan He, 2022. "Condition-based maintenance strategy optimization of meta-action unit considering imperfect preventive maintenance based on Wiener process," Flexible Services and Manufacturing Journal, Springer, vol. 34(1), pages 204-233, March.
    3. Zhang, Yunzheng & Zhang, Xiaohong & Zeng, Jianchao & Wang, Jinhe & Xue, Songdong, 2019. "Lessees’ satisfaction and optimal condition-based maintenance policy for leased system," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    4. Gouiaa-Mtibaa, A. & Dellagi, S. & Achour, Z. & Erray, W., 2018. "Integrated Maintenance-Quality policy with rework process under improved imperfect preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 1-11.
    5. Juhyun Lee & Byunghoon Kim & Suneung Ahn, 2019. "Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance," Mathematics, MDPI, vol. 7(8), pages 1-17, August.

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