对确定性存储模型的推广

On the Extension of the Stock Model

在需求率为常数的假定下,以总利润最大为目标,建立了确定性的经济订购批量存储模型。在此基础上,探讨了一种在需求率随销售价格呈非线性变动的假设下,以系统利润达到最大为目标的存储模型,从而得到一个推广的经济订购批量存储模型。并首先运用多元函数的极值理论,从数学上证明了最优解的存在,给出了最优订货批量、最优销售价格以及最优订货周期的求解方法,然后对模型进行了灵敏度分析。最后给出了一个应用实例。

Stock model of economical order batch is established under the objective of maximum total profit according to the hypotheses of constant demand rate. Based on these facts, the author suggests that the stock model of economical order batch is established under the objective of maximum total profit in system according to the hypotheses of demand rate＇s relying on selling price. From which one extended a model can be deduced. By using extreme-value theory, the model is proven mathematically and the method of solution is deduced for optimal order batch, optimal selling price and how to define optimal order cycle, and the sensitivity analysis has been made. One applied example is also given.