Study on the Effects of the Interactions between Demand and Supply Uncertainties on Supply Chain Costs

수요 불확실성과 공급 불확실성의 상호 작용이 공급 사슬 비용에 미치는 효과에 대한 연구

  • Published : 2005.09.01

Abstract

This paper models supply chain uncertainties in the dynamic Newsboy Problem context. The system consists of one supplier and one retailer who place an order to the supplier every period. Demand uncertainty is modeled as stochastic period demand, and supply uncertainty as the uncertainty in quantities delivered by the supplier. The supplier delivers exactly the amount ordered by the retailer with probability of $\beta$ and the amount minus K with probability of $(1-\beta)$ We formulate the problem as a dynamic programming problem and derive the first-order optimality condition. Through a numerical study, we measure the extent to which the cost decrease due to the reduction in supply uncertainty depends on the level of demand uncertainty. One of the most important findings In this paper is that this cost decrease is relatively small if demand uncertainty is kept high, and vice versa. We also backup this numerical result by analyzing the distribution of ending Inventory under the supply and demand uncertainties.

Keywords

References

  1. 박상욱, '공급 불확실성 하에서의 다기간 Newsboy 문제의 최적 주문정책에 대한 연구', 경영논집, 제32권, 제3호(1998), pp.60-68
  2. 박상욱, '공급업자의 불확실성이 재고관리 비용에 미치는 효과에 관한 연구', 한국경영과학회지, 제26권, 제3호(2001), pp.105-117
  3. Anderson, E. and H. Gatignon, 'Modes of Foreign Entry: A Transaction Cost Analysis and Propositions,' Journal of International Business Studies, Vol.17(1986), pp. 1-26
  4. Christopher, M., Logistics and Supply Chain Management, Burr Ridge, IL : Financial Times, 1994
  5. Ehrhardt, R., '(s, S) Policies for a Dynamic Inventory Model with Stochastic Lead Times,' Operations Research, Vol.32(1984), pp.121-132 https://doi.org/10.1287/opre.32.1.121
  6. Eisenhardt, K.M., 'Control Organizational and Economic Approaches,' Management Science, Vol.31(February, 1985), pp.134-149 https://doi.org/10.1287/mnsc.31.2.134
  7. Gullu, R., E. Ebru, and N. Erkip, 'Analysis of an Inventory System under Supply Uncertainty,' International Journal of Production Economics, Vol.59(1999), pp.377-385 https://doi.org/10.1016/S0925-5273(98)00024-3
  8. Hambrick, D.C., 'An Empirical Typology of Mature Industrial-Product Environments,' Academy of Management Journal, Vol.26 (1983), pp.213-230 https://doi.org/10.2307/255971
  9. Jonsson, H. and E.A. Silver, 'Analysis of a Two-echelon Inventory Control System with Complete Redistribution,' Management Science, Vol.33(1987), pp.215-227 https://doi.org/10.1287/mnsc.33.2.215
  10. Jonsson, H. and E.A. Silver, 'Stock Allocation among a Central Warehouse and Identical Regional Warehouse in a Particular Push Inventory Control System,' International Journal of Production Research, Vol. 25(1987), pp.191-205 https://doi.org/10.1080/00207548708919833
  11. Kaplan, R.S., 'A Dynamic Inventory Model with Stochastic Lead Times,' Management Science, Vol.16(1970), pp.491-507 https://doi.org/10.1287/mnsc.16.7.491
  12. Kumar, A, L.B. Schwarz, and J.E. Ward, 'Risk-Pooling along a Fixed Delivery Route Using a Dynamic Inventory- Allocation policy,' Management Science, Vol.41(1995), pp.344-362 https://doi.org/10.1287/mnsc.41.2.344
  13. Lassar, W.M. and J.L. Kerr, 'Strategy and Control in Supplier-Distributor Relationships : An Agency Perspective,' Strategic Management Journal, Vol.17(1996), pp.613-632 https://doi.org/10.1002/(SICI)1097-0266(199610)17:8<613::AID-SMJ836>3.0.CO;2-B
  14. Lee, H.L., K.C. So, and C.S. Tang, 'The Value of Information Sharing in a TwoLevel Supply Chain,' Management Science, Vol.46, No.5(2000), pp.626-643 https://doi.org/10.1287/mnsc.46.5.626.12047
  15. Lee, H.L., V. Padmanabhan and S. Whang, 'The Bullwhip Effect in Supply Chains,' Sloan Management Review, Spring, (1997a), pp.93-102
  16. Lee, HL, V. Padmanabhan, and S. Whang, 'Information Distortion in a Supply Chain :The Bullwhip Effect,' Management Science, Vol.43, No.4(1997b), pp.546-558 https://doi.org/10.1287/mnsc.43.4.546
  17. Miller, D., 'Relating Porter's Business Strategies to Environment and Structure: Analysis and Performance Implications,' Academy of Management Journal, Vol.31 (1988), pp.280-308 https://doi.org/10.2307/256549
  18. Miller, D., 'The Structural and Environmental Correlates of Business Strategy,' Strategic Management Journal, Vol.8(1987), pp.55-76 https://doi.org/10.1002/smj.4250080106
  19. Miller, D. and P.H. Friesen, 'Porter's(1980) Generic Strategies : An Empirical Examination with American Data,' Organization Studies, Vol.7(1986), pp.37-55 https://doi.org/10.1177/017084068600700103
  20. Nahmias, S., 'Simple Approximation for a Variety of Dynamic Leadtime Lost-Sales Inventory Models,' Operations Research, Vol.27(1979), pp.904-924 https://doi.org/10.1287/opre.27.5.904
  21. Park, Sangwook, L.B. Schwarz, and J.E, Ward, 'A Single-Retailer Periodic-Review System with Stochastic Lead-times,' Working Paper, 1996
  22. Porter, ME., Competitive Strategy, New York, NY : The Free Press, 1980
  23. Veinott, A.F., 'On the Optimality of (s.S) Inventory Policies : New Conditions and a New Proof,' SIAM J. Appl. Math., Vol.14 (1966), pp.1067-1083 https://doi.org/10.1137/0114086
  24. Veinott, A.F., 'Optimal Policy for a MultiProduct, Dynamic Non-Stationary Inventory Problem,' Management Science, Vol. 12(1965), pp.206-222 https://doi.org/10.1287/mnsc.12.3.206
  25. Ward, P.T., J. Deborah, G. Bickford, and K. Leong, 'Configurations of Manufacturing Strategy, Business Strategy, Environment and Structure,' Journal of Management, Vol.22, No.4(1996), pp.597-626 https://doi.org/10.1177/014920639602200404