基于Gauss-Legendre公式改进的煤炭产量灰色预测模型研究

Research on Improved Gray Prediction Model for Coal Yield Based on Gauss-Legendre Formula

基于GM(1,1)背景值的构造方法,提出了一种基于Gauss-Legendre公式改进灰色预测模型的方法,并推导得出了基于两点Gauss-Legendre公式改进的GM(1,1)模型,改进模型的背景值计算公式具有更高的代数精度。以我国原煤产量预测为实例,详细说明了改进模型的建模与计算过程,并将预测结果与传统GM(1,1)模型和基于连分法改进的GM(1,1)模型的预测结果进行了对比分析,验证了改进模型具有较高的预测精度。

A method to improve the grey prediction model was proposed based on Gauss - Legendre formula, applying the structure method of GM （ 1, 1 ） background value, and an GM （ 1, 1 ） model with better algebraic accuracy, improved based on two - point Gauss - Legendre formula, was induced. Taking the prediction of Chinag total coal production as an example, the modeling and computing process was detailed, the results were compared with that of the traditional model and the model which is improved via the continued fraction, verifying the better prediction accuracy of the improved model.