改进的遗传算法用于非线性最小二乘平差
pplication of Improved GA in Nonlinear Least Square Adjustment
经典平差方法对于处理非线性问题,尤其是强非线性问题,有些力所不逮。从数学的角度来看,把非线性最小二乘平差问题作为一个优化问题进行处理,遗传算法在此领域具有独到的优势。本文从几个方面对遗传算法进行了改进,并且用一个测边网平差的实例说明了改进算法的优势和有效性,具有一定的实用价值。
lassic adjustment methods are inadequate to solve nonlinear problems, especially for strong nonlinear problems. From the angle of mathematics, nonlinear least square adjustment can be considered as a optimization problem, in which field genetic algorithm has its particular advantages. This paper has improved the traditional genetic algorithm from several aspects, and used an example of survey line network adjustment to explain the advantages and validity of it, which bears certain use values.
万军、王丽华、谷川
数学工程基础科学工程设计、工程测绘
非线性最小二乘,平差,遗传算法,测边网,收敛速度,全局优化
Nonlinear least square adjustment genetic algorithm survey line network convergence rate global optimization
万军,王丽华,谷川.改进的遗传算法用于非线性最小二乘平差[EB/OL].(2007-09-26)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/200709-534.点此复制
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