考虑主客观权重和质量损失的多元稳健设计模型

摘要

针对多元稳健设计中如何确定权重和建立优化模型的问题,提出了考虑主客观权重和质量损失函数的多元稳健设计模型.在利用质量损失度量多质量特性稳健性的基础上,利用Kendall协同系数检验的方法对专家打分的分数进行一致性检验,其次根据通过检验的分数计算各质量特性的主观权重;同时,利用熵权理论确定不同质量特性的客观权重;然后将主观权重与客观权重线性加权得到综合权重.另外,在拟合回归模型时充分考虑了拟合模型的有效性及回归系数的显著程度.通过实例说明该方法可以突破试验范围的限制,寻找全局最优解.%Based on comprehensive weight and quality loss,we present a method for robust design that has multiple quality characteristics to solve the weight and optimization problems.Firstly,we employ the quality loss to measure the robustness of multiple quality characteristics.Secondly,the subjective weight is calculated according to the data which passed the Kendall's concordance coefficient test.Meanwhile,the concept of entropy weight is introduced to calculate the objective weight by considering the information on responses.Then the comprehensive weights can be determined by the above two kinds of weight.Thirdly,the validity of the method and the significance of the coefficient are taken into consideration when conducting the regression analysis.Finally,a case study is given to illustrate that the improved method can find the optimal solution in the global range.