缺货部分补充物品的EOQ模型

An EOQ Model for Items with Partial Backlogging

研究了一类缺货部分补充的物质存贮模型。在瞬时进货的前提下 ,当库存量为正数时 ,需求率为常数 D。考虑到缺货期的需求量是一个变量并依赖于已缺货的数量 ,我们定义缺货期的需求率为 D+δI(t) ,其中 D>0 ,δ>0 ,库存量I(t)≤ 0。讨论了模型的解的存在性和唯一性 ,找到了全局最优解 。

This paper presents inventory model for items with partial backlogging. Under instantaneous replenishment with zero lead time, the demand rate is constant D when the inventory is positive. Considering the amount of demand backlogged is variable and may depend on the amount of orders already backlogged, we define the demand rate D(t) is D+δI(t) , where D>0, δ>0 , the inventory level I(t)≤0 . The existence uniqueness of the model and the global optimization are discussed. Optimal inventory policy is found.