库存费变化率依赖存储时间和短缺的变质性物品的EOQ模型

An EOQ model for inventory cost depending on storage time and shortage deteriorating items

大多数库存研究中都假定物品的库存费用是固定不变的。本文通过考虑库存费的变化率为存储时间的函数,并在需求线性依赖于库存水平的形式下,发展了变库存费的变质性物品的经济批量模型。在模型中允许短缺发生且假定短缺完全拖后,给出了模型具有唯一的整体最优解的条件,揭示了库存费的变化对库存系统最优订货策略的影响,最后用实例说明了此模型在实际中的应用。

Inventory costs are supposed to be stable in most of the researches on inventory.Taking the change rate in inventory costs as the function for the storage time,the paper develops economic order quantity models with the demand rate as a polynomial function of the retailer＇s current inventory level.Moreover,it works out the conditions for the models to be only,whole and the best when shortage is allowed and belated,illustrating the influence by the change in inventory costs on optimal ordering policies in inventory syestem.At last,some numerical examples are presented to illustrate the application of the model.