非等间隔加权G(1,1)模型在建筑物沉降预测中的应用
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摘要
文中针对建筑物沉降监测数据量少、贫信息和非等时距等特点,引入单位时间差系数,将非等时距序列转化成等时距序列,建立非等间隔G(1,1)预测模型,依据监测数据对模型的贡献大小,引入权重矩阵以提高模型的预测精度。实践表明所建非等间隔加权灰色GM(1,1)模型的预测精度更高。
Aiming at the characteristics of less data,poor information and non-equal time interval of building settlement monitoring data,the unit time difference coefficient was introduced,and the non-equal time series were transformed into the equal time series to establish a non-equal interval G( 1,1) prediction model. The weight matrix was introduced to improve the prediction accuracy of the model according to the contribution size of the monitoring data for the model. Practice showed that the unequal interval weighted grey GM( 1,1) model had the higher prediction accuracy.
Aiming at the characteristics of less data,poor information and non-equal time interval of building settlement monitoring data,the unit time difference coefficient was introduced,and the non-equal time series were transformed into the equal time series to establish a non-equal interval G( 1,1) prediction model. The weight matrix was introduced to improve the prediction accuracy of the model according to the contribution size of the monitoring data for the model. Practice showed that the unequal interval weighted grey GM( 1,1) model had the higher prediction accuracy.
引文
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[2]张运,杨静,魏恋欢.基于改进的非等间隔灰色模型的河东机场沉降预测[J].工程勘察,2018(10):42-46.
[3]姜佃高,姜佃升,许珊娜.基于非等间隔GM(1,1)模型的沉陷监测预报[J].北京测绘,2016(5):82-87.
[4]孙鹏明,包腾飞,卢远富,等.改进的非等间距GM(1,1)模型在大坝位移预测中的应用[J].水电能源科学,2016,34(3):88-89.
[5]卜璞,李朝奎,廖孟光.改进GM(1,1)模型在建筑沉降变形观测中的应用[J].测绘通报,2016,(12):60-63.
[6]马艳贺,栾元重,翁丽媛,等.基于小波去噪的非等间隔变形监测数据GM(1,1)预测方法研究[J].测绘与空间地理信息,2018,41(2):203-206.
[7]李仲.高层住宅楼沉降监测与分析研究[J].测绘科学,2009,34(6):118-119.
[8]廖展宇,李英,晏鄂川,等.非等间隔时序灰色模型的深基坑变形预测研究[J].合肥工业大学学报,2009,32(10):1522-1525.
[9]陈洋,文鸿雁,覃辉,等.非等间距GM(1,1)抗差估计及其在路基沉降预测中的应用[J].公路工程,2017,42(6):64-68,74.
[10]王江荣,梁永平.基于弱化缓冲算子的加权灰色线性回归组合模型及应用[J].计量技术,2016(10):17-20.
[11]韩晋,杨岳,陈峰,等.基于非等时距加权灰色模型与神经网络的组合预测算法[J].应用数学和力学,2013(4):408-419.
[12]刘玮璞,谭志祥,邓喀中.非等间隔灰色模型在矿区沉陷预测中的应用[J].工矿自动化,2014,40(9)):6-10.