新陈代谢GM(1,1)模型在建筑物沉降预测中的应用

利用MATLAB7.0软件对原始数据进行等间距处理后,用一次累加数列与原始数列构建微分模型,通过不断去掉旧数据加入新数据,以工程数学为基础,运用灰色理论构建新陈代谢GM(1,1)模型。并以工程实例进行模拟和预测效果检验,将普通GM(1,1)模型和新信息GM(1,1)模型预测效果进行比较,计算和对比结果表明,新陈代谢GM(1,1)模型精度明显高于其它模型,预测效果大大提高。

Application of the metabolic GM(1,1) model in forecast of buildings subsidence

In subsidence forecast, after using MATLAB7.0 to make original data to be equal interval and the building differential model through cumulative series and original series, by being based on engineering mathematics and using the grey theory, the metabolic GM(1,1) model was established with the old data being removed when new data was added in. The effect of simulation and prediction was checked relying on an engineering example and was compared with the general GM (1,1) model and the new information GM (1,1) model.Calculation and comparison results showed that the metabolic GM (1,1) model has higher accuracy than other models and forecast effects are greatly increased.