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The Tradeoff of Bullwhip Effect with Inventory Costs in a Supply Chain

공급사슬에서 채찍효과와 재고비용 사이의 상충

  • Heung-Kyu Kim (School of Business Administration, Dankook University)
  • Received : 2023.11.30
  • Accepted : 2023.12.06
  • Published : 2023.12.31

Abstract

In this paper, an alternative inventory policy that trades off the bullwhip effect at an upstream facility with cost minimization at a current facility, with the goal of reducing system wide total expected inventory costs, when external demand distributjon is autocorrelated, is considered. The alternative inventory policy has a form that is somewhere between one that completely neglects the autocorrleation and one that actively utilizes the autocorrelation. For this purpose, a mathematical model that allows us to evaluate system wide total expected inventory costs for a periodic review system is developed. This model enables us to identify an optimal inventory policy at a current facility that minimizes system wide total expected inventory costs by the best tradeoff of the bullwhip effect at an upstream facility with cost minimization at a current facility. From numerical experiments, it has been found that (i) when the autocorrelation is negative, the optimal policy is one that actively utilizes the autocorrelation, (ii) when the autocorrelation is small and positive, the optimal policy is one that neglects the autocorrelation, and (iii) when the autocorrelation is large and positive, the optimal policy is somewhere between one that actively utilizes the autocorrelation and one that neglect the autocorrelation.

Keywords

Acknowledgement

This study was supported by Research Fund of Dankook University in 2022.

References

  1. Erkip, N., Hausman, W.H., and Nahmias, S., Optimal Centralized Ordering Policies in Multi-Echelon Inventory Systems with Correlated Demands, Management Science, 1990, Vol. 36, No. 3, pp. 381-392. https://doi.org/10.1287/mnsc.36.3.381
  2. Kim, H., The Cost Impact of Incorrect Assumption in a Supply Chain, International Journal of Management Science, 2004, Vol. 10, No. 2, pp. 29-52.
  3. Kim, H. and Ryan J.K., The Cost Impact of Using Simple Forecasting Techniques in a Supply Chain, Naval Research Logistics, 2003, Vol. 50, pp. 388-411. https://doi.org/10.1002/nav.10065
  4. Lee, H.L., So, K.C., and Tang, C.S., The Value of Information Sharing in a Two-Level Supply Chain, Management Science, 2000, Vol. 46, No. 5, pp. 626-643. https://doi.org/10.1287/mnsc.46.5.626.12047
  5. Silver, E. and Peterson, S., Decision Systems for Inventory Management and Production Planning, 2nd Edition, John Wiley and Sons, New York, 1985.
  6. Urban, T.L., Reorder Level Determination with Serially-Correlated Demand, Journal of the Operational Research Society, 2000, Vol. 51, No. 6, pp. 762-768. https://doi.org/10.1057/palgrave.jors.2600945
  7. Zinn, W., Marmorstein, H., and Charnes, J., The Effect of Autocorrelated Demand on Customer Service, Journal of Business Logistics, 1992, Vol. 13, No. 1, pp. 173-192.