Application of improved GM (1, 1) model to settlement prediction of roadbed

XIE Zheng-wen; HU Han-hua; HU Yi-fu

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Application of improved GM (1, 1) model to settlement prediction of roadbed

更新时间：2026-06-25

- Application of improved GM (1, 1) model to settlement prediction of roadbed
- Vol. 26, Issue S2, (2005)
- 作者机构：
  
  中南大学资源与安全工程学院,湖南,长沙,410083
- 作者简介：
- 基金信息：
- DOI：
  CLC： U213.1
- Online First：16 December 2005，
  
  Published：2005
- 稿件说明：
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XIE Zheng-wen, HU Han-hua, HU Yi-fu. Application of improved GM (1, 1) model to settlement prediction of roadbed[J]. 2005, 26(S2).
DOI：

XIE Zheng-wen, HU Han-hua, HU Yi-fu. Application of improved GM (1, 1) model to settlement prediction of roadbed[J]. 2005, 26(S2). DOI：

摘要

GM(1

1)模型是沉降预测中应用较为广泛的模型之一，在实际应用当中发现其预测效果有时候较差甚至完全失效。为此从传统GM(1

1)预测模型建模原理出发，分析存在的理论缺陷，指出在形成预测公式时规定， 0.5为已知条件是不合理的，应当根据实际情况选用其他数据。通过引入平均斜率来计算序列，并利用MATLAB程序进行数据处理，寻找最合适的以及最佳维数区。某高速公路实测沉降数据计算表明，新方法有满意的拟合和预测效果，为提高建模精度提供了新的途径。

Abstract

GM (1

1) model is one of the most widely used methods in settlement prediction

and it is found that the precision is low even defect. In this paper the structure principle of GM (1

1) is analyzed and the defect is pointed out that and α should not be limited as the only know condition when forming the prediction formula. Instead

other data could be used. The average slope is used to calculate instead of constant 0.5. Program MATLAB is used to deal with the tested data and find the optimum and the optimum dimension. An actual example of an expressway is used

and it shows that the new model has satisfactory fitting effects and thus points a novel direction to heighten modeling precision.

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