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考虑协变量的相关多响应稳健优化设计 被引量:4
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作者 张流洋 马义中 +1 位作者 汪建均 欧阳林寒 《系统工程》 CSSCI CSCD 北大核心 2015年第2期126-133,共8页
研究了协变量之间以及多响应之间同时存在相关性的问题,考虑了多响应的最优性与稳健性,提出了基于主成分分析与似然不相关回归相结合的方法解决含有多个协变量的多响应稳健设计问题。该方法分析了决策者在协变量概率取不同阈值的情况下... 研究了协变量之间以及多响应之间同时存在相关性的问题,考虑了多响应的最优性与稳健性,提出了基于主成分分析与似然不相关回归相结合的方法解决含有多个协变量的多响应稳健设计问题。该方法分析了决策者在协变量概率取不同阈值的情况下,将相关多响应优化问题转化为求解相应情况下的综合满意度函数最大值的问题。并结合具体的实例进行分析研究,结果表明了本文所提出的方法能够有效地解决此类多响应稳健设计问题。 展开更多
关键词 相关多响应优化 稳健设计 协变量 主成分分析 似然不相关回归
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Application of grey relational analysis in sheet metal forming for multi-response quality characteristics 被引量:5
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作者 XIE Yan-min YU Hu-ping +1 位作者 CHEN Jun RUAN Xue-yu 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第5期805-811,共7页
The theory of grey systems is a new technique for performing prediction, relational analysis and decision making in many areas. In this paper, the use of grey relational analysis for optimizing the square hole flangin... The theory of grey systems is a new technique for performing prediction, relational analysis and decision making in many areas. In this paper, the use of grey relational analysis for optimizing the square hole flanging process parameters with considerations of the multiple response (the average flanging height, regular flanging and maximum strain) is introduced. Various flanging parameters, such as the blank inner radius rb, blank inner width B0, are considered. An orthogonal array is used for the experimental design. Multiple response values are obtained using finite element analysis (FEA). Optimal process parameters are determined by the grey relational grade obtained from the grey relational analysis for multi-performance characteristics (flanging height, regular flanging and maximum strain). Analysis of variance (ANOVA) for the grey relational grade is implemented. The results showed good agreement with the experiment result. Grey relational analysis can be applied in multiple response optimi-zation designs. 展开更多
关键词 Grey relational analysis FLANGING Multiple response Optimization design
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