基于公理设计和相容决策支持问题法的稳健优化设计方法

Research on robust optimization design based on axiomatic design and compromise decision support problem

针对多目标稳健优化问题,建立了多目标稳健优化的损失函数,利用灵敏度分析方法确定各设计变量对各设计目标的影响程度,确定主要的设计参数,便于调整和控制设计参数的公差.根据信息公理与损失函数的一致性关系,建立以最小化各目标的总损失函数为目标函数.并在相容决策支持问题法框架基础上,提出一种基于公理设计和相容决策支持问题法的多目标稳健优化设计模型.实例分析表明,提出的方法是可行的.

For multi-objective robust optimal design, the loss function of multi-objective robust optimization was defined. The contribution of design variable to design objectives can be calculated using sensitive analysis, and the principal design parameters were determined, so that the tolerance of design parameters could be adjusted and controlled. According to the consistent relation between information axiom and quality loss function in robust design process of product quality, the minimum total loss function of each sub-objective function was considered as the objective function. Based on the framework of compromise decision support problem, a multi-objective robust optimization model based on axiomatic design and compromise decision support problem is proposed. The case study indicates that the proposed methods are feasible and effective.