中文摘要：

在现实生活中，供应商往往愿意为零售商提供延迟付款的优惠政策，从而吸引零售商订购更多的产品，文章在此基础上假定需求依赖当前库存且允许部分短缺拖后供给，建立了一个由供应商和零售商所构成的库存决策模型。通过模型的分析和求解寻求最优的补货策略，使得库存系统平均总利润达到最大，最后通过数值算例和灵敏度分析说明该模型的可行性。

英文摘要：

In real life ,the supplier generally offers a delay in payment to the retailer to buy more .In this paper ,an inventory decision model between supplier and retailer is developed which assumes that the demand rate of the items is dependent on the current inventory level and the time-dependent partial backlogging is allowable .Through the analysis of the model and the solution of determining the opti-mal replenishment policies ,the inventory system’s average profit per unit of time is maximized .Fi-nally ,the feasibility of the proposed model is proved by the numerical example and sensitivity analy-sis .