灰线性回归模型在建筑物沉降分析中的应用

摘要

This article discusses the different principles between GM(1,1)model and GM(1,1)model with linear regression. Which has been used GM(1,1)combined with linear regression model of Guangzhou city community 1# building(CJ1)of a subsidence monitoring point is analyzed and forecasted. The result verifies the combination model in building in the settlement of practicality,accuracy and effectiveness. Finally,the combined model prediction accuracy of grey index v and parameter m decisive role are analyzed,it presents the optimal solution of grey index v and the value of parameter m algorithm,according to the experimental results. The method could make the predicted results are more reliable and accurate,which has practical reference value.%从GM（1，1）模型原理和GM（1，1）与线性回归组合模型原理的不同之处开始讨论，利用GM（1，1）与线性回归组合模型对广州市某小区1#楼一个沉降监测点（CJ1）进行了分析和预测，分析和预测的结果验证了GM（1，1）与线性回归组合模型在建筑物沉降变形分析中的实用性、正确性和有效性。最后对组合模型预测精度起决定性作用的灰指数v和参数m进行了分析，给出了求解灰指数v和参数m的最优值算法，应用结果表明，该方法使预测结果更可靠、准确，具有实际的参考价值。