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Optimal Periodic Preventive Maintenance Schedules With Improvement Factors Depending On Number Of Preventive Maintenances

Author

Listed:
  • JAE-HAK LIM

    (Department of Accounting, Hanbat National University, Taejon 305-719, Korea)

  • DONG HO PARK

    (Department of Statistics, Hallym University, Chuncheon 200-702, Korea)

Abstract

This paper considers a periodic preventive maintenance policy under which eachpreventive maintenance(PM) reduces the hazard rate of the repairable system, while keeping the pattern of hazard rate unchanged. For this model, the hazard rate at a given timetis affected by the improvement factor which depends on the number of PMs conducted untilt. In addition to the periodic preventive maintenance, the system undergoes the minimal repair at each failure between the preventive maintenances. We derive mathematical formulas to evaluate the expected cost rate per unit time by computing the expected number of failures depending on the hazard rate of the underlying life distribution of the system. Assuming that the system is replaced by a new one at theN-th preventive maintenance, the optimal values ofNand the preventive maintenance period, which minimize the expected cost rate, are solved and thus the best schedules for the periodic preventive maintenance policy are established. Explicit solutions for the optimal schedule for the periodic preventive maintenance are presented when the failure times follow the Weibull distribution.

Suggested Citation

  • Jae-Hak Lim & Dong Ho Park, 2007. "Optimal Periodic Preventive Maintenance Schedules With Improvement Factors Depending On Number Of Preventive Maintenances," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 111-124.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:01:n:s0217595907001139
    DOI: 10.1142/S0217595907001139
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    Cited by:

    1. Aseem K. Mishra & Divya Shrivastava & Devesh Tarasia & Abdur Rahim, 2022. "Joint optimization of production scheduling and group preventive maintenance planning in multi-machine systems," Annals of Operations Research, Springer, vol. 316(1), pages 401-444, September.

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