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为了解决复杂的决策问题,需要组合多个模型来完成,文章以橡胶配方决策问题为例,采用线性回归和多目标规划组合模型得到该问题的决策建议。文章利用给定的13组配方实验数据,首先建立原料与性能关系的多元线性回归模型并求解,其次利用得到回归系数和目标约束要求,建立优先级的多目标规划模型,然后采用适当的权重对多目标规划模型进行求解。通过对该决策问题的研究,证明使用线性回归模型和多目标规划模型的可行性和有效性。
In order to solve complex decision problems, we need to combine multiple models to complete. In this paper, taking the rubber formulation decision problem as an example, we use the linear regression and multi-objective programming combination model to get the decision suggestion. In this paper, we use the given experimental data of 13 sets of formulas to establish a multivariate linear regression model of the relationship between raw materials and performance, and then use regression coefficients and constraints to establish the multi-objective programming model with priority. Then, Multi-objective programming model to solve. Through the study of this decision problem, the feasibility and effectiveness of using linear regression model and multi-objective programming model are proved.