| 改进灰色沉降预测模型及其应用 |
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| 引用本文： | 谢正文,李树清.改进灰色沉降预测模型及其应用[J].中国计量学院学报,2008,19(2):162-165. |
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| 作者姓名： | 谢正文 李树清 |
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| 作者单位： | 1. 中国计量学院计量测试工程学院,浙江杭州310018;中南大学资源与安全工程学院,湖南长沙410083
2. 中南大学资源与安全工程学院,湖南长沙,410083 |
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| 摘 要： | 根据GM(1,1)灰色模型的指数特性,首先对原始数据取λ次幂以降低原始数据的分散性,再通过在区间上求积分计算模型的背景值,并采用最小二乘法求解最优的模型初始值由此建立改进灰色预测模型,将其应用到某高速公路沉降预测计算,结果表明,改进模型较之原GM(1,1)模型模拟和预测精度要高.
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| 关 键 词： | 灰色理论 最小二乘法 沉降 预测 |
Improved grey prediction model for settlement and its applications |
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| ME Zheng-wen,LI Shu-ging.Improved grey prediction model for settlement and its applications[J].Journal of China Jiliang University,2008,19(2):162-165. |
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| Authors: | ME Zheng-wen LI Shu-ging |
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| Affiliation: | XIE Zheng-wen , LI Shu-qing(1. Safety and Environmental Protection Research Institute, China Jiliang University, H angzhou 310018, China 2. School of Resources and Safety Engineering, Central South University, Changsha 410083, China) |
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| Abstract: | According to the exponential function form of the GM （1, 1） model, the data was firstly processed into powerlogarithmic series so as to reduce the scatterence of data. Then a new method to build the background value based on quadratic interpolation was used. At the same time the initial value was improved though the least square method. Accordingly, an improved grey prediction model was put forward; and an actual example of a highway was used. A conclusion was obtained that the improved grey prediction model based on it is of higher precision than the original one. |
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| Keywords: | grey theory the least square method settlement prediction |
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