联合定价的提前订货折扣策略

Advance order discount policy with joint pricing

为解决订货过程中的相关决策问题,提出以价格作为决策变量的提前订货折扣策略,构建了以价格、折扣率和订货量作为决策变量的联合定价和库存决策的数学模型。通过对模型进行分析,得到关于模型最优解的属性、模型最优解的存在唯一性及其表达式。数值实验结果显示了利润函数对各参数的敏感度,特别是对价格的敏感度相对较高,说明将价格作为决策变量是合理的,同时也在一定程度上验证了前人关于折扣率可行范围的相关研究结果。最后由数值分析的结果,找到一种简单易行的估算决策变量最优值的方法,进一步验证了该估算方法的准确度。

Aiming at decision-making problems in order process,an advance order discount strategy based on price as decision variable was proposed.The mathematical model of joint pricing and inventory decision by taking price,discount rate and order quality as decision variables was constructed.Through analysis on the model,the attribute and existence uniqueness of optimal model solution and its expression were obtained.Numerical example results revealed sensitivity of profit function to various parameters,especially to the price was much higher.It implied the rationality of taking price as decision variable.Moreover,the investigation result of a saturation point for price discounts which was found by other researchers was verified by experiments.A feasible method for estimating decision variables optimal values was found,and its accuracy was further verified.