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Study on the reconstructed method of background value in gray predictive model based on non-homogeneous exponential function
Pages: 64-68
Year: Issue:  7
Journal: Geotechnical Investigation & Surveying

Keyword:  GM(11) modelhomogeneous exponential functionnon-homogeneous exponential functionreconstruction of background valuefitpredict;
Abstract: The reconstruction of gray model background value is starting from the deformation data itself, considering the data volatility to cause the offset of data model and its influence on prediction result,to improve the structure forms of background value. This paper aims at shortcomings of the background value fitting method with homogeneous exponential function and proposes a reconstructed method of background value based on non-homogeneous exponential function. The core idea is to fully consider the u / a impact, make 1-AGO sequence of the original data as the abstract non-homogeneous exponential function. The method is simple for modeling and convenient for calculation,which can effectively improve the fitting and prediction accuracy. And it doesn’t subject to the 0 <- a < 2 limitation,and in the case of- a≥2,it also maintain a good fitting and prediction.
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