供应商定时随机提供价格折扣的订单批量模型

An Order Quantity Model with the Timing of Random Price Discount Provided by Supplier

考虑供应商在某个特定时间为零售商随机提供价格折扣的订单批量模型。对于该模型,基于供应商在特定时间为零售商提供价格折扣的可能性大小给出了零售商的库存成本,分析了相对应的最佳订单批量。利用数值算例验证了模型的有效性,并通过灵敏度分析给出了供应商提供价格折扣的概率大小、补货点与折扣点的时间间隔率及折扣率大小对零售商订货策略的影响度。

Considering that the supplier provides the randomness of price discount at a particular time,and that the price discount doesn＇t tend to appear on the retailer＇s normal replenishment time points,this paper establishes a lot-sizing model.In this paper,retailer＇s inventory cost is given and the best order quantity by introducing the probability of price discount the supplier is provided.Furthermore,the efficiency of the algorithm is verified by the given numerical experiments,and the influence of the probability of price discount,the time interval between the replenishment points and the discount points and the size of the discount rate to the retailer＇s replenishment strategies are provided.