基于单值数据过程能力指数的多元质量特性稳健参数设计

Robust parameter design for multivariate quality characteristics based on process capability index with individual observations

针对单值采样数据的多元质量特性稳健参数设计问题,考虑各质量特性偏差波动和方差波动的权重,提出了一种整合过程能力指数和熵权理论的多元质量特性稳健参数设计方法。该方法首先假定设计变量服从正态分布并建立各质量特性均值和方差模型;然后,通过熵权法分析各质量特性偏差波动和方差波动的权值,进而计算各质量特性的过程能力指数;最终,构建基于多元过程能力指数的目标函数。通过对实际案例分析说明,本文方法与其他参数设计方法相比,能够在考虑稳健性的同时更好地使质量特性满足产品规格和接近目标值。

An integrated approach based on process capability index and entropy weight method is proposed to solve the robust parameter design for multivariate quality characteristics with individual observations. Firstly, assume that the design variables follow normal distributions and use the response surface method to build mean and variance models. Then the objective function based on process capability index is set up through analyzing the weight of deviation and variance with the entropy weight method. A numerical example shows that the optimal design variables obtained by the proposed approach could make quality characteristics satisfy the product specifications and close to the targets compared with other parameter design methods.