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灰色线性回归组合模型在沉降监测中的应用
引用本文:刘国仕,何亮云,薛建华,高营飞.灰色线性回归组合模型在沉降监测中的应用[J].长沙理工大学学报(自然科学版),2012,9(4):32-36.
作者姓名:刘国仕  何亮云  薛建华  高营飞
作者单位:1. 长安大学地质工程与测绘学院,陕西西安,710054
2. 湖南城市学院市政与测绘工程学院,湖南益阳,413000
3. 邵阳市城市规划设计研究院,湖南邵阳,412000
基金项目:全国教育科学‘十一五’规划资助项目
摘    要:为了在贫数据条件下准确预报中长期沉降值,采用线性回归方程和指数方程的组合方式,通过适当配置模型的某些参数来获得新的生成序列函数模型.结合工程实际算例进行预测,并和实际观测数据比较,取得了较好的效果,验证了灰色线性回归组合模型应用于沉降监测预报的可行性.通过其残差与回归分析模型和灰色预测GM(1,1)模型残差相比较,证明该模型在沉降预报中优于回归分析模型和灰色预测GM(1,1)模型.

关 键 词:回归分析  灰色GM(1,1)模型  灰色线性回归组合模型

Application of grey theory plus linear regression model in the subsidence monitoring
LIU Guo-shi,HE Liang-yun,XUE Jian-hua,GAO Ying-fei.Application of grey theory plus linear regression model in the subsidence monitoring[J].Journal of Changsha University of Science and Technology:Natural Science,2012,9(4):32-36.
Authors:LIU Guo-shi  HE Liang-yun  XUE Jian-hua  GAO Ying-fei
Affiliation:1.School of Geology Engineering and Geomatics,Chang’an University,Xi’an 710054,China; 2.Municipal and Surveying Engineering School,Hunan City University,Yiyang 413000,China; 3.Shaoyang City Planning and Design Institute,Shaoyang 412000,China)
Abstract:In order to predict long-term settlement accurately in the poor condition of data, this article adopted linear regression equation and exponential equation combination model. Combination with the engineering practice example forecast and actual observation data comparison and good xesult have been achieved. It is verified that linear regression com- bined model can be applied to forecast the feasibility of subsidence monitoring. Through comparing residuals and regression analysis with grey prediction GM (1,1) model residual phase, this paper proved that the model in settlement prediction is better than the regres- sion model and grey forecasting model GM (1,1).
Keywords:regression analysis  Gray GM ( 1  1 ) model  Gray linear regression combina- tion model
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