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实数编码改进遗传算法的非线性最小二乘平差
引用本文:黄强,范东明.实数编码改进遗传算法的非线性最小二乘平差[J].测绘科学,2012(1):35-37.
作者姓名:黄强  范东明
作者单位:西南交通大学测量工程系
摘    要:遗传算法在处理测量领域中的非线性问题时,算法中的种群数目大小、个体中的参数分量的数量以及参数的取值区间都会对算法的效率产生影响。针对基本遗传算法在处理非线性问题时,容易陷入局部最优值、速度慢、收敛区间小等问题,本文采用了一种新的交叉策略,并对变异算子中的变异步长作动态的自适应改变。最后通过实例解算验证了这种改进的遗传算法比基本遗传算法更加稳定、精度更高、收敛速度更快、收敛区间更大。

关 键 词:非线性  最小二乘平差  遗传算法  交叉策略  变异算子

Nonlinear least squares adjustment based on real coded improved genetic algorithm
HUANG Qiang,FAN Dong-ming.Nonlinear least squares adjustment based on real coded improved genetic algorithm[J].Science of Surveying and Mapping,2012(1):35-37.
Authors:HUANG Qiang  FAN Dong-ming
Institution:(School of Civil Eng.,Southwest Jiaotong University,Chengdu 610031,China)
Abstract:Using genetic algorithms in dealing with nonlinear problems in measurement,the number of population size,the number of parameters of individual and the ranges of parameters will affect the efficiency of the algorithm.For the problems with simple genetic algorithm to deal with nonlinear cases,including easy to fall into local optimum,slow and small convergence zone and so on,this paper used a new crossover strategy,and made the steps of mutation operator adaptive change.Finally,an example proved that the improved genetic algorithm was more stable,higher accuracy,faster convergence,greater convergence interval than simple genetic algorithm.
Keywords:nonlinear  least squares adjustment  genetic algorithm  crossover strategy  mutation operator
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