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《Industrial Engineering and Management》 2014-01
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The Research on the Dimensionless Criterion and Methods about the Design of Multi-index Orthogonal Experiment

SONG Ming-shun;HUANG Jia;ZHANG Shi-peng;QI Bin-fang;China Jiliang University;  
As common methods of analyzing the design of multi-index and equal-weight orthogonal experiment,the order grading method,the extreme value method and the standard deviation method,all of them are to sum up each dimensionless index's experimental data to one indicator,then get the optimum design project by using the design of single index orthogonal experiment.This thesis demonstrates the dimensionless criterion that is the experimental results after wiping out dimension must be in accordance with the original data on the statistic characteristics.And through the theoretical analysis about the three methods' non-dimensional effect,it testifies that the three methods above all exist unequal-weight and data variation.So we construct a new method of mean value,by doing experiments we compare it with the three methods above mentioned,and get the following result:using the method of mean value can not only get rid of differences among the indexes' dimensions,also can reserve the information of the original data.Therefore,the mean value method should be the main method on analyzing the design of multi-index and equal-weight orthogonal experiment.
【Fund】: 国家自然科学基金资助项目(71071147)
【CateGory Index】: O212.6
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