延期支付条件下零售商的最优售价和订货策略

Retailer's Optimal Pricing and Ordering Policy under Permissible Delay in Payments

在供应商给予零售商延期支付和现金折扣的优惠政策下,进一步假设产品的年需求量依赖于零售商产品售价的基础上,建立了由一个零售商和一个供应商所构成的库存决策模型,扩展了经典的经济生产批量(EPQ)模型。通过模型的分析求解,可以得出零售商在上述情况下的最优订货周期、最优售价及最优付款时间的简单判定方法。最后,通过算例,验证了模型的可行性,得出了与实际相符的结论。

The main purpose of this paper is to develop an inventory model under permissible delay in payments,in which the supplier provides not only a permissible delay but also a cash discount to the retailer,where the demand rate is considered to be a function of the retail price.This model further expands the classical economic production quantity（EPQ）model.We do this in order to reflect the real-life business situations.Mathematical models have derived for obtaining the optimal pricing,optimal cycle time and optimal payment time for items.Finally,a numerical example is given to illustrate the results developed in this paper.