Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Modified Wu and Clements-Croome's PM model

수정된 Wu와 Clements-Croome의 예방보전 모형

  • Jung, Ki Mun (Department of Informational Statistics, Kyungsung University)
  • 정기문 (경성대학교 정보통계학과)
  • Received : 2014.06.09
  • Accepted : 2014.07.08
  • Published : 2014.07.31
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Abstract

Wu and Clements-Croome (2005) suggest the preventive maintenance (PM) model with random maintenance quality. They assume that each PM resets the failure rate to zero and the rate of increases of the failure rate gets higher after each additional PM. However a system may not be restored to as good as new immediately after the completion of PM. Thus, this paper modifies the Wu and Clements-Croome's PM model and then the optimal PM policy is suggested. To determine the optimal PM policy, we utilize the expected cost rate per unit time for our model. That is, we obtain the optimal number and the optimal period by minimizing the expected cost rate per unit time. The numerical examples are presented for illustrative purpose.

Wu와 Clements-Croome (2005)은 확률적 보전효과를 갖는 예방보전 모형을 제안하였는데, 그들은 각각의 예방보전 활동이 이루어진 이후에 시스템의 상태가 고장률 측면에서 새로운 것처럼 되고, 이전보다 더 급격하게 증가하는 고장률을 갖는다고 가정하였다. 그러나 예방보전 활동 이후의 시스템의 상태가 새로운 것처럼 된다는 것은 현실적으로 매우 강한 가정이라고 할 수 있다. 따라서 본 논문에서는 수정된 Wu와 Clements-Croome의 예방보전 모형을 제안하고 최적의 예방보전정책을 제시하고자 한다. 또한, 최적의 예방보전정책을 결정하기 위해서 제안된 모형에 대한 단위시간당 기대비용을 사용하였다, 즉, 단위시간당 기대비용을 최소화하는 최적의 예방보전 횟수와 주기를 결정하였다. 끝으로 수치적 예를 통해서 제안된 예방보전정책을 설명하였다.

Keywords

References

  1. Canfield, R. V. (1986). Cost optimization of periodic preventive maintenance. IEEE Transactions on Reliability, 35, 78-81. https://doi.org/10.1109/TR.1986.4335355
  2. Jung, G. M. and Park, D. H. (2003). Optimal maintenance policies during the post-warranty period. Reliability Engineering and System Safety, 82, 173-185. https://doi.org/10.1016/S0951-8320(03)00144-3
  3. Jung, K. M. (2012a). Extended warranty policy when minimal repair cost is a function of failure time. Journal of the Korean Data & Information Science Society, 23, 1195-1202. https://doi.org/10.7465/jkdi.2012.23.6.1195
  4. Jung, K. M. (2012b). Preventive maintenance policy following the expiration of replacement-repair warranty. Journal of Applied Reliability, 12, 57-66.
  5. Jung, K. M. (2013). Preventive maintenance model with extended warranty. Journal of the Korean Data & Information Science Society, 24, 773-781. https://doi.org/10.7465/jkdi.2013.24.4.773
  6. Lin, D., Zuo, M. J. and Yam, R. C. M. (2000). General sequential imperfect preventive maintenance models. International Journal of Reliability, Quality and Safety Engineering, 7, 253-266. https://doi.org/10.1142/S0218539300000213
  7. Malik, M. A. K. (1979). Reliable preventive maintenance scheduling. AIIE Transactions, 11, 221-228 https://doi.org/10.1080/05695557908974463
  8. Nakagawa, T. (1986). Periodic and sequential preventive maintenance policies. Journal of Applied Probability, 23, 536-542. https://doi.org/10.2307/3214197
  9. Nakagawa, T. (1988). Sequential imperfect preventive maintenance policies. IEEE Transactions on Reliability, 37, 295-298. https://doi.org/10.1109/24.3758
  10. Wu, S. and Clements-Croome, D. (2005). Preventive maintenance models with random maintenance quality. Reliability Engineering and System Safety, 90, 99-105. https://doi.org/10.1016/j.ress.2005.03.012

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