论文探讨制造型企业的定价和生产联合决策问题,考虑一个连续有限的计划周期,假设需求是价格的线性函数,但是需求参数未知,采用基于最小二乘法的需求学习方法来预测未知需求参数。以最大化期望总利润为目标,对企业的最优定价和生产问题进行建模并求解。通过一个算例得出了企业的最优定价和生产决策,以及获得的最大利润,分析了最大利润关于模型参数的敏感性。研究结果对于企业在未知的市场中制定出合理的价格和生产决策具有指导作用。
This paper discusses the pricing and production decision in a manufacturing firm over a continuous finite planning horizon. It assumes demand is a linear function of price, with unknown demand parameters. A de- mand -learning approach based on the least square method is applied to forecast the unknown demand parameters. With the objective of maximizing the total expected profit, this paper models and solves the optimal pricing and production problem. An example shows the optimal pricing and production policy and the maximal profit. Then the sensitivities of the maximal profit with respect to the model parameters are analyzed. The results can help firms in an unknown market make better decisions on pricing and production.