Communications for Statistical Applications and Methods

  • 제13권1호
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  • Pages.191-204
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  • 2006
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Bayesian Method on Sequential Preventive Maintenance Problem

  • Kim Hee-Soo (School of Aerospace and Naval Architecture, Chosun University) ;
  • Kwon Young-Sub (School of Aerospace and Naval Architecture, Chosun University) ;
  • Park Dong-Ho (Department of Information and Statistics, Hallym University)
  • 발행 : 2006.04.01
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초록

This paper develops a Bayesian method to derive the optimal sequential preventive maintenance(PM) policy by determining the PM schedules which minimize the mean cost rate. Such PM schedules are derived based on a general sequential imperfect PM model proposed by Lin, Zuo and Yam(2000) and may have unequal length of PM intervals. To apply the Bayesian approach in this problem, we assume that the failure times follow a Weibull distribution and consider some appropriate prior distributions for the scale and shape parameters of the Weibull model. The solution is proved to be finite and unique under some mild conditions. Numerical examples for the proposed optimal sequential PM policy are presented for illustrative purposes.

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참고문헌

  1. Canfield, R.V. (1986). Cost Optimization of Periodic Preventive Maintenance. IEEE Transactions on Reliability, Vol. 35, 78-81 https://doi.org/10.1109/TR.1986.4335355
  2. Juang, M.G. and Anderson, G. (2004). A Bayesian Method on Adaptive Preventive Maintenance Problem. European Journal of Operational Research, Vol. 155, 455-473 https://doi.org/10.1016/S0377-2217(02)00856-1
  3. 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, Vol. 7, 253-266 https://doi.org/10.1142/S0218539300000213
  4. Mazzuchi, T.A. and Sayer, R. (1996). A Bayesian Perspective on Some Replacement Strategies. Reliability Engineering and System Safety, Vol. 51. 295-303 https://doi.org/10.1016/0951-8320(95)00077-1
  5. Nakagawa, T. (1986). Periodic and Sequential Preventive Maintenance Policies. Journal of Applied Probability, Vol. 23, 536-542 https://doi.org/10.2307/3214197
  6. 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, 105-112 https://doi.org/10.1016/S0951-8320(00)00012-0