CHEN Pengyu
jgg. 2020, 40(5): 457-463.
The GM(1,1) power model can be used for the prediction of settlement that tends to be stable or has a trend of S-type. However, the GM(1,1) power model has some shortcomings, including the inherent defects of grey modeling, no applicability for non-equal interval data, and the complexity of solving parameters. In combination with the power function transformation and the unbiased GM(1,1) model or the unequal interval unbiased GM(1,1) model, we establish the unbiased GM(1,1) power model and the unequal interval unbiased GM(1,1) power model. Based on the Matlab program, we take the minimum relative mean error of the fitting results as the optimization objective, and advance the solving method of optimization parameters. Meanwhile, we propose an alternative method of Origin fitting function SRichards2. The application results of engineering examples show that the two methods have a good fitting effect and can be used in settlement prediction. Considering the application effect and the modeling characteristics of the two methods, we recommend the Origin fitting function SRichards2 is recommended for manual data processing, and the unbiased GM(1,1) model and non-equal interval unbiased GM(1,1) model for special optimization objectives or automatic monitoring design.