时变需求下基于两层次信用支付策略的供应链库存模型

Supply chain inventory model with two levels of trade credit and time varying demand

传统的基于信用支付的供应链库存模型仅假设上游供应商给予下游零售商一个固定的信用支付期,但在实际中由于市场竞争的需要,零售商也会给予顾客相应的信用支付优惠策略.基于线性时变需求构建了两层次信用支付策略下的供应链库存模型,讨论了模型最优解的存在性及唯一性,并提供了寻求模型整体最优解的简单方法.最后给出了具体数值例子,对模型进行了灵敏度分析.

Traditional supply chain inventory modes with trade credit usually only assumed that the upstream suppliers offered the downstream retailers a fixed credit period.However,in practice the retailers will also provide a credit period to customers in order to promote the market competition.This article developed an optimal supply chain inventory model under two levels of trade credit policy and linear time-varying demand.The existence and uniqueness of the optimal solution to the presented model are examined,and an easy method is also shown to find the global optimal inventory policies of the considered problem.Finally,numerical examples and sensitive analysis are presented to illustrate the developed model.