多因素、多指标产品系统的建模与优化  

Modeling and optimization of multi-factor and multi-index product system

作　　者：耿金花[1] 高齐圣[1] 张嗣瀛[1] 

机构地区：[1]青岛大学复杂性科学研究所,山东青岛266071

出　　处：《系统工程学报》2008年第4期449-454,共6页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(70571041);高校博士点专项基金资助项目(20051065002);山东省"泰山学者"建设工程基金资助项目

摘　　要：针对产品系统多指标优化问题,综合考虑顾客对多个质量性能指标的需求,将与波动相关的质量损失和与容差相关的制造成本综合平衡,建立了一种多因素、多指标优化模型.各质量指标通过双响应曲面模型和田口质量损失函数确定,通过熵权系数法对各质量指标进行加权.然后考虑制造容差成本,建立最终优化模型,其目标为各质量指标的加权田口损失函数和制造容差成本之和最小.最后通过一个实例,验证了该模型的有效性.To solve the multi-index optimization problem of product system, a multi-factors and multi-index optimization model is proposed. In this model, multiple quality indices needed by cus- tomer are considered, and the quality loss related to process fluctuation is balanced with manufacture cost related to tolerance. Each quality index is determined by dual response surface model and Tagu- chi quality loss function, and all the quality indices are weighted by using entropy method. After- wards, considering the manufacture cost, a final optimization model is built with an objective of min- imizing the sum of the weighted Taguchi quality loss and manufacture cost. Finally, an example is used to demonstrate the validity of the proposed method.

关 键 词：多响应优化 质量损失函数 响应曲面法 熵 容差设计 

分 类 号：N945.1[自然科学总论—系统科学]