%0 Journal Article
%T 非等时距MGM (1, N)优化算法在工程测量中的应用<br>Application of Optimization Algorithm for Unequal Time Interval MGM (1, N) in Engineering Survey
%A 葛鹏飞
%J Geomatics Science and Technology
%P 68-77
%@ 2329-7239
%D 2020
%I Hans Publishing
%R 10.12677/GST.2020.82009
%X 通过引入结构矩阵，兼顾了变量含误差模型中系数矩阵同时存在固定列元素、随机元素、非随机元素的情形，并用于非等时距多变量灰色模型参数的优化求解，将优化算法应用于老空区上方建筑场地变形监测的拟合和预报中，实验结果表明本文算法是有效且可行的。另外，由于多变量灰色模型兼顾了变形数据序列的时空关联性，故多变量灰色模型精度高于单变量灰色模型。<br />
The coefficients matrix of the errors in variables model with both fixed column elements, random elements and non-random elements was considered by introducing the structure matrix, the op-timization algorithm was used to solve the parameters of the non-equidistant multivariable grey model. It was applied to the fitting and prediction of the deformation monitoring of the building site above the old goaf. The experimental results show that the proposed algorithm is effective and feasible. In addition, the accuracy of multivariate grey model is higher than that of univariate grey model, because the multivariate grey model takes into account the temporal and spatial correlation of deformation data series.
%K 变量含误差，结构矩阵，总体最小二乘，高斯–赫尔墨特，灰色模型<br>Errors in Variables
%K Structure Matrix
%K Total Least Square
%K Gauss-Hermett
%K Grey Model
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=35219