Abstract: The paper considers a two-echelon supply chain system consisted of one supplier and one retailer.Under the situation of linear time-varying demand，product’s retail price related to its storage time，limited warehouse capacity and no shortage，we study the problem of how the supplier use quantity discount to entice the retailer cooperating so as to maximize his/her own profit，and realize the perfect coordination of the supply chain system.The existence of optimal strategies is proved theoretically，and the simple resolving method is provided.A numeric example interprets the above conclusion.

Key words: supply chain management, the prefect coordination, quantity discount, linear time-varying demand

摘要： 考虑由一个供应商和一个零售商构成的二级供应链系统，在线性时变需求、产品的零售价格与其存储时间有关、货栈容量有限且不允许缺货的情形下，研究了供应商如何利用全数量折扣计划来激励零售商合作从而实现自身利润最大化和供应链系统完美协调的问题。从理论上证明和分析了模型最优解的存在性，同时提供了求解最优解的简单方法，并通过算例对上述结论进行佐证。

关键词: 供应链管理, 完美协调, 数量折扣, 线性时变需求