中文摘要：

建立一个斜坡型需求且短缺量部分拖后订购的易变质物品库存模型，研究指数斜坡型需求模式下变质率为Weibull分布形式的易变质物品库存管理问题，分析允许短缺下两种可能情形的单位时间库存成本函数，得到易变质物品的最优库存补充策略．数值算例表明模型符合实际情况．

英文摘要：

In this paper, an inventory model for deterioration items with ramp type demand rate and Shortage partial backlogging is built. The inventory management problem of deterioration items with Weibull distribution under exponentially ramp type demand is investigated. The total inventory cost functions of two cases per unit of time under the shortageconditions are analyzed and an optimal replenishment policy of deterioration items is derived. Finally, numerical examples also indicate the inventory model meet practical situation.