DOI QR코드

DOI QR Code

Preventive maintenance model with extended warranty

연장된 보증을 갖는 예방보전모형

  • Jung, Ki Mun (Department of Informational Statistics, Kyungsung University)
  • 정기문 (경성대학교 정보통계학과)
  • Received : 2013.05.31
  • Accepted : 2013.06.29
  • Published : 2013.07.31

Abstract

Recently, an extended warranty of the system following the expiration of the basic warranty is becoming increasingly popular to the user. In this respect, we suggest a preventive maintenance model following the expiration of extended warranty with minimal repair warranty from the user's point of view in this paper. Under basic warranty and extended warranty, the failed system is minimally repaired by the manufacturer at no cost to the user. For the preventive maintenance model, we derive the expressions for the expected cycle length, the expected total cost and the expected cost rate per unit time. Also, we determine the optimal preventive maintenance period and the optimal preventive maintenance number by minimizing the expected cost rate per unit time. Finally, the numerical examples are presented to illustrate the purpose when the failure time of the system has a Weibull distribution.

최근에 기본 보증이 종료된 이후에 주어지는 시스템의 연장된 보증에 대한 관심이 증가되고 있다. 따라서 본 논문에서는 사용자 측면에서 최소수리보증이 있는 연장된 보증이 종료된 이후의 예방보전모형을 제안하였다. 이 때, 기본 보증과 연장된 보증 하에서 고장이 발생된 시스템에는 판매자에 의해서 무료로 최소수리가 이루어진다. 이러한 제안된 예방보전모형에 대하여 기대순환길이, 총기대비용 그리고 단위시간당 기대비용을 유도하였다. 또한, 유도된 단위시간당 기대비용을 최소화 하는 최적의 예방보전 주기와 예방보전 횟수를 결정하였다. 끝으로 시스템의 고장시간이 와이블 분포를 따를 때 수치적 예를 통하여 이를 설명하였다.

Keywords

References

  1. Bouguerra, S., Chelbi, A. and Rezg N. (2012). A decision model for adopting an extended warranty under different maintenance policies. International Journal of Production Economics, 135, 840-849. https://doi.org/10.1016/j.ijpe.2011.10.022
  2. 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
  3. Chien, Y. H. (2008a). A general age replacement model with minimal repair under renewing freereplacement warranty. European Journal of Operational Research, 186, 1046-1058. https://doi.org/10.1016/j.ejor.2007.02.030
  4. Chien, Y. H. (2008b). Optimal age-replacement policy under an imperfect renewing free-replacement warranty. IEEE Transactions on Reliability, 57, 125-133. https://doi.org/10.1109/TR.2007.909769
  5. Jung, K. M. (2011). Preventive maintenance model following the expiration of NFRRW. Journal of the Korean Data & Information Science Society, 22, 775-784.
  6. Jung, K. M. (2012). 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
  7. Jung, K. M. (2013). Optimal replacement policy after extended warranty with minimal repair warranty. Journal of Applied Reliability, 13, 77-86.
  8. 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
  9. Jung, K. M., Park M. and Park, D. H. (2010). System maintenance cost dependent on life cycle under renewing warranty policy. Reliability Engineering and System Safety, 95, 816-821. https://doi.org/10.1016/j.ress.2010.02.010
  10. Sahin, I. and Polatoglu, H. (1996). Maintenance strategies following the expiration of warranty. IEEE Transactions on Reliability, 45, 220-228. https://doi.org/10.1109/24.510805
  11. Wu, S. and Longhurst, P. (2011). Optimising age-replacement and extended non-renewing warranty policies in lifecycle costing. International Journal of Production Economics, 130, 262-267. https://doi.org/10.1016/j.ijpe.2011.01.007
  12. Yeh, R. H., Chen, M. Y. and Lin, C. Y. (2007). Optimal periodic replacement policy for repairable products under free-repair warranty. European Journal of Operational Research, 176, 1678-1686. https://doi.org/10.1016/j.ejor.2005.10.047

Cited by

  1. Two stage maintenance policy under non-renewing warranty vol.27, pp.6, 2016, https://doi.org/10.7465/jkdi.2016.27.6.1557
  2. Modified Wu and Clements-Croome's PM model vol.25, pp.4, 2014, https://doi.org/10.7465/jkdi.2014.25.4.791