基于灰色聚类的多指标稳健性设计研究  

Multi-response Robust Design Research Based on Grey Cluster

作　　者：钟晓芳[1] 刘思峰[2] 

机构地区：[1]南京理工大学经济管理学院管理科学与工程系,江苏南京210094 [2]南京航空航天大学经济管理学院管理科学与工程系,江苏南京210016

出　　处：《数学的实践与认识》2011年第18期24-30,共7页Mathematics in Practice and Theory

基　　金：南京理工大学自主科研专项计划(2010GJPY058)

摘　　要：随着市场竞争的日趋激烈,迫切地需要将产品的质量、成本、效益和顾客的满意度等市场竞争要素一起综合考虑进行稳健性设计.采用灰色聚类多指标综合评价对定性、定量指标用灰数的白化权函数加以聚类,对试验方案进行初步筛选,然后在备选方案中对同属于"优"类别的方案进行综合分析,得到一组最佳可控因子组合,并进行验证性分析.最后利用此方法对一款洗衣机用串激电机从成本、效益和顾客满意度方面综合进行考虑,进行了稳健性设计,得到真正意义上的低成本、高质量、高可靠性和高效益的产品,从而最终为解决这种带有模糊性因素的多指标优化问题开创了一种稳健性设计新思路.With the increasingly fierce market competition, it is necessary to carry on the robust design with consideration of product quality, cost, benefit, customer satisfaction, and other market competition factors etc. In this paper, the grey clustering multiple criteria evalu- ation is adopted to cluster the qualitative and quantitative objectives with grey whitenization weight function, and filter the initial experiments. Then the optimal experiments would be analyzed to determine the optimal factor level combination, and the verification experiment will be carried on. Finally, a case study demonstrates the effectiveness of the proposed pro- cedure for optimizing multi-response processes from the view of the cost, the benefit and the customer satisfaction, and the products with low cost, high quality, high reliability and cost- effective have been obtained. Eventually this proposed procedure will provide a new way of robust design to solve the multi-response optimization problem with a few of fuzzy factors.

关 键 词：灰色聚类 稳健性设计 多指标综合评价 可控因子 白化权函数 

分 类 号：N941.5[自然科学总论—系统科学] F274[经济管理—企业管理]