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Coordinating independent buyers with integer‐ratio time coordination and quantity discounts

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  • Qinan Wang

Abstract

Supply chain members can gain substantial benefits by coordinating their activities. However, a remaining challenge is to create useful coordination mechanisms when channel members are independent. This paper develops a coordination strategy with which a supplier uses quantity discounts to entice independent buyers to comply with an integer‐ratio time coordination scheme. The problem is analyzed as a Stackelberg game in which the supplier acts as the leader by announcing its coordination policy in advance and buyers act as followers by deciding their ordering decisions with this information. The strategy is compared to a coordination mechanism with quantity discounts and power‐of‐two time coordination. While both strategies are able to produce substantial benefits over simple quantity discounts, integer‐ratio time coordination provides a better coordination mechanism for a decentralized supply chain. It is shown that power‐of‐two time coordination may not be able to provide a stable equilibrium coordination strategy when buyers act independently and opportunistically. Furthermore, if this is not the case, integer‐ratio time coordination is at least equally effective. Unlike a centralized solution, under which the improvement by integer‐ratio over power‐of‐two time coordination is limited to 2% of optimality, system cost reduction from a decentralized coordination strategy could be much more significant. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.

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  • Qinan Wang, 2004. "Coordinating independent buyers with integer‐ratio time coordination and quantity discounts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 316-331, April.
  • Handle: RePEc:wly:navres:v:51:y:2004:i:3:p:316-331
    DOI: 10.1002/nav.10117
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    1. Sainathan, Arvind & Groenevelt, Harry, 2019. "Vendor managed inventory contracts – coordinating the supply chain while looking from the vendor’s perspective," European Journal of Operational Research, Elsevier, vol. 272(1), pages 249-260.
    2. Konstantin Kogan, 2019. "Discounting revisited: evolutionary perspectives on competition and coordination in a supply chain with multiple retailers," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 69-92, March.

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