The GM(1,1)model raw data and background values were optimized by combining sine function transformation and Lagrange interpo-lation. Then the model was applied to the empirical research of the total output value of construction industry from 2003 to 2012. The result shows that the model has a better accuracy. It broadens the scope of application of GM(1,1)model.%将正弦函数变换和 Lagrange 插值法相结合,对 GM(1,1)模型的原始数据和背景值同时进行优化,使用优化的 GM(1,1)模型对2003年~2012年建筑业总产值进行了实证研究,研究结果说明了该优化模型具有高精度性,拓广了 GM(1,1)的使用范围。
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