| 多响应优化方法的比较和应用研究 |
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| 引用本文： | 宗志宇,何桢,孔祥芬. 多响应优化方法的比较和应用研究[J]. 数理统计与管理, 2006, 25(6): 697-704 |
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| 作者姓名： | 宗志宇 何桢 孔祥芬 |
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| 作者单位： | 天津大学管理学院,天津,300072 |
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| 基金项目： | 国家自然科学基金;天津市科委资助项目 |
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| 摘 要： | 本文对目前几种多响应优化的主要方法进行了分析和总结,考察了马氏距离法、多元损失函数法、满意度函数法、概率法以及双响应曲面等几种主要方法在多响应优化中的应用,并对实例的多响应的预测值和方差进行了优化,比较了这几种方法的优缺点。研究结果表明,满意度函数法和概率法在处理多响应优化过程中能够取得较好的优化效果。
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| 关 键 词： | 多响应优化 马氏距离 多元损失函数 满意度函数 双响应曲面 |
| 文章编号： | 1002-1566(2006)06-0697-08 |
| 收稿时间： | 2005-06-03 |
| 修稿时间： | 2005-06-03 |
Comparison of Methods for Multiresponse Optimixation |
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| ZONG Zhi-yu,HE Zhen,KONG Xiang-fen. Comparison of Methods for Multiresponse Optimixation[J]. Application of Statistics and Management, 2006, 25(6): 697-704 |
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| Authors: | ZONG Zhi-yu HE Zhen KONG Xiang-fen |
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| Affiliation: | Management School, Tianjin University, Tianjin 300072, China |
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| Abstract: | This paper analyzes and summarizes the methods for multiresponse optimization,and the theories and applications of the methods based on Mahalanobis distance,multivariate loss function,desirability function,proportion of conformance and dual response surface are addressed.Furthermore,the strength and weakness of each method are analyzxed and compared by applying these methods to optimize multiresponse predicted mean value and variance of the example from the literature.The results indicates that the better apploaches are the ones based on the desirability function and proportion of conformance. |
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| Keywords: | multiresponse optimization Mahalanobis distance multivariate loss function desirability function dual response surface |
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