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Risk pooling strategy in a multi-echelon supply chain with price-sensitive demand

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Abstract

This paper studies a nonstationary inventory and pricing problem. We consider a two-echelon supply chain with one supplier and two retailers, in which the supplier carries all inventory to supply the retailers. Both the reserved and pooled inventory systems are analyzed. Results with normally distributed demands are compared. Assuming the random demand at each retailer is price-sensitive, we further consider the cases when the retailers have and do not have service level requirements. We start with analyzing inventory and pricing strategies for the supplier in a one-period scenario. Then we extend our analysis to both the backlogging and lost-sale scenarios in an infinite planning horizon.

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References

  • Anupindi R, Bassok Y (1999) Centralization of stocks: retailers vs. manufacturer. Manag Sci 45(2): 178–191

    Article  Google Scholar 

  • Anupindi R, Bassok Y, Zemel E (2001) A general framework for the study of decentralized distribution systems. Manuf Serv Oper Manag 3(4): 349–368

    Article  Google Scholar 

  • Bartholdi III JJ, Kemahlioglu-Ziya E (2005) Using Shapley value to allocate savings in a supply chain. In: Supply chain optimization, chap 6. Springer, Heidelberg

  • Bernstein F, Federgruen A (2003) Pricing and replenishment strategies in a distribution system with competing retailers. Oper Res 51(3): 409–426

    Article  MATH  Google Scholar 

  • Bernstein F, Federgruen A (2004) Dynamic inventory and pricing models for competing retailers. Nav Res Logist 51(2): 258–274

    Article  MATH  MathSciNet  Google Scholar 

  • Bertsekas DP (1995) Dynamic programming and optimal control. Athena scientific, Belmont, MA

    MATH  Google Scholar 

  • Cachon GP (2003) Supply chain coordination with contracts. In: Kok AG, Graves SC(eds) Handbooks in operations research and management science, II: Supply chain management: design, coordination and operation. Elsevier, Amsterdam

    Google Scholar 

  • Cachon GP (2004) The allocation of inventory risk in a supply chain: push, pull and advanced purchase discount contracts. Manag Sci 50(2): 222–238

    Article  Google Scholar 

  • Cachon GP, Lariviere MA (1999) An equilibrium analysis of linear, proportional and uniform allocation of scarce capacity. IIE Trans 31(9): 835–849

    Google Scholar 

  • Chen F, Federgruen A, Zheng YS (2004) Coordination mechanism for a distribution system with one supplier and multiple retailers. Manag Sci 47(5): 693–708

    Article  Google Scholar 

  • Clark A, Scarf H (1960) Optimal policies for a multi-echelon inventory problem. Manag Sci 6(4): 474–490

    Google Scholar 

  • Dai Y, Chao X, Fang S-C, Nuttle HLW (2005) Game theoretic analysis of a distribution system with customer market search. Ann Oper Res 135(1): 223–228

    Article  MATH  MathSciNet  Google Scholar 

  • Dai Y, Chao X, Fang S-C, Nuttle HLW (2006) Capacity allocation with aditional and internet channels. Nav Res Logist 53(8): 772–787

    Article  MATH  MathSciNet  Google Scholar 

  • Granot D, Sosic G (2002) A three-stage model for a decentralized distribution system of retailers. Oper Res 51(5): 771–784

    Article  MathSciNet  Google Scholar 

  • Hadley G, Whitin TM (1963) Analysis of inventory systems. Prentice-Hall, New Jersey

    MATH  Google Scholar 

  • Ling X, Fang SC, Nuttle HLW, Chao X (2005) Pooled versus reserved inventory policies in a two-echelon supply chain. Int J Oper Res 2(2): 1–16

    MathSciNet  Google Scholar 

  • Netessine S, Rudi N (2006) Supply chain choice on the Internet. Manag Sci 52(6): 844–864

    Article  Google Scholar 

  • Petruzzi N, Data M (1999) Pricing and the newsvendor problem: a review with extensions. Oper Res 47(2): 183–194

    MATH  Google Scholar 

  • Veinott AF (1965) Optimal policy in a dynamic single product non-stationary inventory model with several demand classes. Oper Res 13(5): 761–778

    MATH  MathSciNet  Google Scholar 

  • Wang Y, Jiang L, Shen ZJ (2004) Channel performance under consignment contract with revenue sharing. Manag Sci 50(1): 34–47

    Article  Google Scholar 

  • Zipkin PH (2000) Foundations of inventory management. McGraw-Hill, Boston, pp 456–459

    Google Scholar 

Download references

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Correspondence to Yue Dai.

Additional information

The first author’s research is sponsored by Grant No. 70502009 and No. 70432001 of the Chinese National Natural Science Foundation and the second author’s research is sponsored by Grant #W911NF-04-D-0003 of the US Army Research Office and Grant #DMI-0553310 of the US National Science Foundation.

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Dai, Y., Fang, SC., Ling, X. et al. Risk pooling strategy in a multi-echelon supply chain with price-sensitive demand. Math Meth Oper Res 67, 391–421 (2008). https://doi.org/10.1007/s00186-007-0203-8

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  • DOI: https://doi.org/10.1007/s00186-007-0203-8

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