Inventory Policies for Multi-echelon Serial Supply Chains with Normally Distributed Demands

정규분포를 따르는 다단계 시리얼 공급사슬에서의 재고 정책

  • 권익현 (고려대학교 정보통신기술연구소) ;
  • 김성식 (고려대학교 산업시스템정보공학과)
  • Published : 2006.06.30

Abstract

The main focus of this study is to investigate the performance of a clark-scarf type multi-echelon serial supply chain operating with a base-stock policy and to optimize the inventory levels in the supply chains so as to minimize the systemwide total inventory cost, comprising holding and backorder costs as all the nodes in the supply chain. The source of supply of raw materials to the most upstream node, namely supplier, is assumed to have an infinite raw material availability. Retailer faces random customer demand, which is assumed to be stationary and normally distributed. If the demand exceeds on-hand inventory, the excess demand is backlogged. Using the echelon stock and demand quantile concepts and an efficient simulation technique, we derive near optimal inventory policy. Additionally we discuss the derived results through the extensive experiments for different supply chain settings.

Keywords

References

  1. 안재성, 권익현, 김성식, "Rolling horizon 환경 하에서 다단계 재고 모형의 분배계획 수립에 관한 연구", IE Interfaces, Vol.16, No.4 (2003) :41-449.
  2. 윤병희, 권익현, 김성식, "예측 수요분포가 변하는 환경 하에서의 공급사슬 계획", 한국SCM학회지, Vol.4, No.2 (2004) :1-12.
  3. Axsäter, S., Inventory control, Kluwer Academic Publishers, Boston, 2000.
  4. Chopra, S. and Meindl. P., Supply chain management: strategy, planning, and operation, Prentice Hall, Upper Saddle River, New Jersey (2001)
  5. Clark, A. J. and Scarf, H., "Optimal policies for a multi-echelon inventory problem", Management Science, Vol.6, No.4 (1960) :475-490. https://doi.org/10.1287/mnsc.6.4.475
  6. Evans, M., Hastings, N. and Peacock, B., Statistical distributions, Wiley, New York, (2000)
  7. De Bodt, M. A. and Graves, S. C., "Continuous-review policies for a multi-echelon inventory problem with stochastic demand", Management Science, Vol.31, No.10 (1985) :286-1299.
  8. Federgruen, A. and Zipkin, P. H., "Computational issues in an infinite-horizon, multiechelon inventory model", Operations Research, Vol.32, No.4 (1984) :818-836. https://doi.org/10.1287/opre.32.4.818
  9. Forrester, J. W., Industrial dynamics, MIT Press, Cambridge, MA(1961)
  10. Gallego, G. and Zipkin, P., "Stock positioning and performance estimation in serial production-transportation systems", Manufacturing & Service Operations Management, Vol.1, No.1 (1999) :77-88 https://doi.org/10.1287/msom.1.1.77
  11. Lambrecht, M. R., Muckstadt, J. A. and Luyten, R., "Protective stocks in multi-stage production systems", International Journal of Production Research, Vol.22, No.6 (1984) :1001-1025 https://doi.org/10.1080/00207548408942517
  12. Schmidt, C. P. and Nahmias, S., "Optimal policy for a two-stage assembly system under random demand", Operations Research, Vol.33, No.5 (1985) :1130-1145 https://doi.org/10.1287/opre.33.5.1130
  13. van Houtum, G. J. and Zijm, W. H. M., "Computational procedures for stochastic multi-echelon production systems", International Journal of Production Economics, Vol.23, No.1-3 (1991) :223-237 https://doi.org/10.1016/0925-5273(91)90065-2
  14. van Houtum, G. J., Inderfurth, K. and Zijm, W. H. M. (1996), "Materials coordination in stochastic multi-echelon systems", European Journal of Operational Research, Vol.95, No.1 (1996) :1-23 https://doi.org/10.1016/0377-2217(96)00080-X