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A quasi-optimal inspection strategy for leased equipment

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  • Amel Ben Mabrouk
  • Anis Chelbi
  • Lazher Tlili
  • Mehdi Radhoui

Abstract

This paper presents a quasi-optimal inspection policy for equipment that is leased for a given period and whose failures can be detected only through inspections. Maintenance including inspections and replacements is entrusted to the lessor. Whenever inspection reveals that the equipment is in failed state, it is replaced (or restored to a state as good as new). In case the average downtime between failures and their detection exceeds a contractual pre-specified duration, a penalty is incurred by the lessor. The proposed mathematical model and numerical algorithm allow finding a quasi-optimal sequence of inspection instants (θ1*, θ2*, … , θN*) which minimises the expected total cost incurred by the lessor over the lease period L. A numerical example is presented and the obtained results are discussed. We investigate numerically the effect of the variation of the downtime penalty cost, the inspection cost, the lease period length, and the equipment reliability on the quasi-optimal inspection policy to be adopted by the lessor.

Suggested Citation

  • Amel Ben Mabrouk & Anis Chelbi & Lazher Tlili & Mehdi Radhoui, 2020. "A quasi-optimal inspection strategy for leased equipment," International Journal of Production Research, Taylor & Francis Journals, vol. 58(3), pages 878-892, February.
    • Handle: RePEc:taf:tprsxx:v:58:y:2020:i:3:p:878-892
    DOI: 10.1080/00207543.2019.1602743
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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. Jackson, Canek & Pascual, Rodrigo, 2021. "Joint pricing and maintenance strategies in availability-based product-service systems under different overhaul conditions," Reliability Engineering and System Safety, Elsevier, vol. 216(C).

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