稳健设计通过寻找最佳的稳健条件,使产品的质量特性对控制因子和噪声因子的变差不敏感,达到有效减少质量波动的目的。噪声因子虽然不可控,但有时候是可测的,有效利用先验信息可以优化外表设计。为更好地获得噪声因子的代表性样本,提出一种基于噪声分布等分位点和均匀设计的外表设计方法。该方法在噪声因子分布已知的前提下,选取分布的等分位点作为代表噪声因子的非随机样本,并将其作为设计水平,使用均匀设计表进行外表设计。实例分析表明,该方法能合理地安排试验,有效地实现对噪声因子的模拟并减少试验次数,提高估计精度,低成本高效率地确定最优稳健条件。
Robust design is aimed at determining the optimal design factors settings to make products less sensitive to noise factors and reduce quality variation effectively.Design of experiments for noise factors becomes important,which is also called outer array design.Noise factors cannot be controlled,but sometimes they can be observed and the distribution can be known.The prior information can be effectively used to optimize outer array design.To get representative samples of noise factors,an outer array design approach based on quantile of noise distribution and uniform design is proposed.Appropriate quantiles of noise distribution are chosen as non-random samples of noise factors.The quantiles are regarded as levels of noise factors,which are used for outer array design combined with uniform design tables.Illustrative example shows the approach can arrange experiments reasonably,simulate the noise factors and quality variation effectively.The proposed approach can also reduce experiment times,improve estimation precision and find robust solution with low cost and high efficiency.