A Joint Optimization of Ordering and Replacement Policy Under Minimal Repair

최소수리가 가능한 시스템의 주문 및 교체정책 통합 최적화

  • 인재순 (영진전문대학 디지털경영계열) ;
  • 김준홍 (수원대학교 산업정보공학과) ;
  • 전호기 (영진전문대학 디지털경영계열)
  • Received : 2010.04.26
  • Accepted : 2010.05.27
  • Published : 2010.06.30

Abstract

Maintaining a complex repairable system can be achieved by repairing, replacing, or any other activities. This paper proposes a joint optimization policy that is composed with ordering and replacing under minimal repair for the complex system. For this purpose, we derive the expected cost due to the minimal repair, ordering, downtime, inventory costs, and salvage value of units that follow generally distribution. Some properties about the optimum ordering policy that are suggested for our purpose shows that the optimum ordering policy minimizing the expected cost is either one of the two typical policies : (1) the original unit is replaced as soon as the ordered spare is delivered, or (2) the delivered spare is used as inventory part until the original unit fails.

Keywords

References

  1. 인재순; "주문 및 교체정책의 통합 최적화", 박사학위논문, 성균관대학교, 2009
  2. 김준홍, 정원; "신뢰성공학", 청문각, 2007
  3. Allen, S. G. and D. A. D'Esopo; "An ordering policy for stock items when delivery be expedited," Operation Research, 16(4) : 880-883, 1968. https://doi.org/10.1287/opre.16.4.880
  4. Barlow, R. E. and L. Hunter; "Optimum preventive maintenance policies," Operations Research, 8 : 90-100, 1960. https://doi.org/10.1287/opre.8.1.90
  5. Cleroux, R., S. Dubuc and Tilquin; "The age replace ment problem with minimal repair and random repair cost," Operations Research, 27 : 1158-1167, 1979. https://doi.org/10.1287/opre.27.6.1158
  6. Kaio, N. and S. Osaki; "Optimum planned maintenance with salvage cost," International Journal of Production Research, 16 : 249-257, 1978. https://doi.org/10.1080/00207547808930017
  7. Park, Y. T. and K. S. Park; "Generalized spare ordering policies with random lead time," European Journal of Operational Research, 23 : 320-330, 1986. https://doi.org/10.1016/0377-2217(86)90298-5
  8. Savits, T. H.; "Some multivariate distributions derived from a nonfatal shock model," Journal of Applied Probability, 25 : 383-390, 1986.
  9. Sheu, S. H. and W. S. Griffith; "Optimal age-replacement policy with age-dependent minimal-repair and random. leadtime," IEEE Transactions on reliability, 50(3) : 302. 309, 2001.
  10. Sridharan, V., "Optimum planned policies with minimal repair and random lead times," Microelectronics and Reliability, 32 : 905-909, 1992 https://doi.org/10.1016/0026-2714(92)90427-M