经销商订货决策分析:利润最大化

Retailers Order Strategy Analysis: Profit Maximization

建立了一个利润最大化的模型,求出了模型在不同情况下的最优解,并给出了一个具体的算例。将结果和成本最小化模型进行了比较,得出结论:当r(r+w)≤α时,两个模型的最优解相同;当r(r+w)>α时,两个模型有着不同的最优解。对于库存数量最小化模型,影响经销商供货数量(n+k)的只有服务水平α。对于利润最大化模型来说,影响经销商供货数量(n+k)的是服务水平α和r(r+w)之间的最大值。相比之下,利润最大化模型更为完善。

The models have been set up and analyzed. But almost all the objective functions of these models are to minimize the inventory quantity or the inventory cost. However, what the dealers care about most is how to maximize their revenue. In this article, we set up a model and find the optimal ordering quantity to maximize revenue, and then we compare the solution with the one ,derived from the cost-minimization model. The result has proved that the model of revenue maximization is much better.