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基于遗传算法的圆度公差评定法与采用最小二乘法评定的比较
引用本文:李子芳,崔长彩,车仁生,黄庆成,叶东.基于遗传算法的圆度公差评定法与采用最小二乘法评定的比较[J].光学精密工程,2003,11(3):256-261.
作者姓名:李子芳  崔长彩  车仁生  黄庆成  叶东
作者单位:1. 大庆石油学院,电子工程系,黑龙江,大庆,163400
2. 哈尔滨工业大学305信箱,黑龙江,哈尔滨,150001
基金项目:KeyprojectsupportedbytheNationalNaturalScienceFoundationofChina(No.5 0 2 0 5 0 0 7)
摘    要:根据提出的计算模型,对基于遗传算法的圆度误差评定和传统上采用最小二乘法的评定算法进行了比较分析,根据方法本身的特点和计算结果,分析了二者的不同点以及在工程应用中的适用场合.所构造的模型包括边界控制点和区域随机点,其中边界控制点模拟了由圆度误差最小区域条件所定义的最大内切圆和最小外切圆,而区域随机点模拟了实际情况下测试点的随机性和不确定性.计算结果表明基于遗传算法的圆度评定法精度较高,优于基于最小二乘法的评定算法.

关 键 词:遗传算法  最小二乘法  圆度
收稿时间:2002-12-15
修稿时间:2003-03-27

Comparison of genetic algorithm based evaluation of roundness with evaluation of roundness based on least squared method
Abstract.Comparison of genetic algorithm based evaluation of roundness with evaluation of roundness based on least squared method[J].Optics and Precision Engineering,2003,11(3):256-261.
Authors:Abstract
Affiliation:1. Dept. of Electronics Engineering, Daqing Petroleum Institute, Daqing 163400, China;2. Dept. of Automation Test and Control, Harbin Institute of Technology, Harbin 150001, China
Abstract:The evaluation of roundness based on genetic algorithm method(GAM) is compared with the evaluation of roundness based on least square method(LSM) with their advantages and drawbacks discussed in detail using the model proposed, which features bounds control data to simulated the maximum inscribed and maximum circumscribed circles defined under minimum zone conditions, and randonly produced data to simulate the randomness and uncertainties of test points under actual conditions. The computational results show that the accuracy of GAM is better than that of LSM.
Keywords:genetic algorithm  based method (GAM)  least squared method (LSM)  circularity
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