Optimal Periodic Preventive Maintenance Schedule When Preventive Maintenance is Imperfect

예방보전이 불완전할 때 최적 주기적 예방보전 계획

  • Published : 2007.12.31

Abstract

In this paper, we consider a periodic imperfect preventive maintenance(PM) policy in which the system's failure rate after each PM remains unchanged. The system undergoes only minimal repairs at failures between PMs. Exact mathematical formula of the expected cost rate per unit time is derived. Optimal number of PMs and optimal maintenance period are derived by minimizing the expected cost rate per unit time. A numerical example is provided to illustrate the proposed approach under Weibull lifetime distribution.

References

  1. Barlow, R. E. and Hunter, L. C. (1960), 'Preventive Maintenance Policies', Operations Research, Vol. 9, pp, 90-100
  2. Brown, M. and Proschan, F. (1983), 'Imperfect Repair', J. of Applied Probability, Vol. 20, pp. 851-859 https://doi.org/10.2307/3213596
  3. Chan, J. and Shaw, L. (1993), 'Modeling Repairable System with failure Rate Depend on Age and Maintenance', IEEE Trans. Reliability, Vol. 42, pp. 566-571 https://doi.org/10.1109/24.273583
  4. Fontenot, R. A. and Proschan, F.(1984), 'Some Imperfect Maintenance Model', in Reliability Theory and Models, AP, New York
  5. Kijima, M.(1988), 'Some Results for Repairable Systems with General Repair', J. of Applied Probability, Vol. 26. pp. 89-102
  6. Lim, J. H. Lu, K. L. and Park, D. H.(1998), 'Bayesian Imperfect Repair Model', Communication in Statistics, Vol. 27. No.4. pp, 965-984 https://doi.org/10.1080/03610929808832138
  7. Nakagawa, T.(1979), 'Optimal Policy When Preventive Maintenance Is Imperfect'. IEEE Trans. Reliability, Vol. 28. pp. 331-332 https://doi.org/10.1109/TR.1979.5220624
  8. Nakagawa, T. (1988), 'Sequential Imperfect Preventive Maintenance Policies', IEEE Trans. Reliability, Vol. 37. No.3. pp, 295-298 https://doi.org/10.1109/24.3758
  9. Park, D. H., Jung, G. M. and Yum, J. K.(2000), 'Cost Minimization for Periodic Maintenance Policy of a System Subject to Slow Degradation', Reliability Engineering and System Safety, Vol. 68. pp, 105-112 https://doi.org/10.1016/S0951-8320(00)00012-0
  10. Pham, H. and Wang H.(1996), 'Imperfect Maintenance', European J. of Operational Research. Vol. 94. pp. 425-438 https://doi.org/10.1016/S0377-2217(96)00099-9