On a multi-period supply chain system with supplementary order opportunity

On a multi-period supply chain system with supplementary order opportunity
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DOI:
10.1016/j.ejor.2010.08.019
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发表时间:
2011-03
期刊:
Eur. J. Oper. Res.
影响因子:
--
通讯作者:
Xiang Li;Yongjian Li;Xiaoqiang Cai
Xiang Li;Yongjian Li;Xiaoqiang Cai
中科院分区:
其他
文献类型:
--
作者:
Xiang Li;Yongjian Li;Xiaoqiang Cai

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本文研究了多周期情况下的补充订货系统。在每个时期,采购员首先根据需求预测下初始订单;他有机会在该时期的需求实现后向供应商下补充订单。供应商维护库存,并决定每个时间段内的生产数量和补充订单的供应数量。我们将问题表示为一个多周期库存博弈,并分别推导出供应商和采购商的最优生产和订货策略。在广义多周期情形下证明了纳什均衡解的存在唯一性,并在参数平稳时得到了纳什均衡解的封闭形式。数值研究的进行,以揭示更多的管理见解。研究发现,如果设计得当,补充订货机制可以有效地改善多周期供应链的绩效。
This paper considers a supplementary supply–order system in a multi-period situation. In each period, the buyer first places an initial order based on the demand prediction; he has the opportunity to place a supplementary order with the supplier after the demand of that period is realized. The supplier maintains an inventory, and decides the quantity to be produced and the quantity to be provided for the supplementary order in each time period. We formulate the problem as a multi-period inventory game, and derive the optimal production and order policies for the supplier and buyer, respectively. The existence and uniqueness of Nash equilibrium is proved in the generalized multi-period setting, and the closed-form Nash equilibrium solution is obtained when the parameters are stationary. Numerical study is performed to reveal more managerial insights. We find that the supplementary supply–order mechanism, if designed properly, can effectively improve the multi-period supply chain performance.