一般EOQ模型的初等解法及其性质

An Elementary Solution Method and Properties of the General EOQ Model

在求解一般经济订货批量(EOQ)模型时,国内外文献通用的解法是多元函数求极值的微分学方法。本文提出了一种基于模型结构的初等数学解法。这一解法不仅简单易懂,且能将模型的一些重要性质鲜明地揭示出来,如:装配费等于一个周期内的总存贮费与总缺货费之和,而这是微分学解法所经常忽略的。

When solving the general EOQ model, the dominant solution method in literature is the differential method designed to solve multi-dimensional optimization problems. In this paper, based on the model＇s mathematical structure, we propose an elementary solution method. This solution method is not only much easier, but also has an advantage to vividly demonstrate the model＇ s important properties, e. g. , the set up cost equals the total cost of storage and shortage in one period, which are generally ignored by the differential method.