| 一个基于背景值和初始条件优化的GM(1,1)模型 |
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| 引用本文： | 何霞,刘卫锋.一个基于背景值和初始条件优化的GM(1,1)模型[J].河南科学,2011,29(3):260-263. |
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| 作者姓名： | 何霞 刘卫锋 |
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| 作者单位： | 郑州航空工业管理学院,数理系,郑州,450015 |
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| 基金项目： | 郑州航窄工业管理学院青年科研基金 |
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| 摘 要： | 背景值和初始条件对GM(1,1)模型的拟合和预测有着极大的影响,通过优化模型的背景值,赋予边值条件为修正形式x (1) (n)+β,利用原始序列新预测值的误差在最小二乘意义下最小准则,从而得到了一个新改进的GM(1,1)优化模型.最后,通过计算实例验证了该优化模型具有极高的预测和模拟精度.
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| 关 键 词： | 灰色系统 GM(1 1)模型 背景值 初始条件 |
An Optimized GM (1,1) Model Based on Background Value and Initial Condition |
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| He Xia,Liu Weifeng.An Optimized GM (1,1) Model Based on Background Value and Initial Condition[J].Henan Science,2011,29(3):260-263. |
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| Authors: | He Xia Liu Weifeng |
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| Affiliation: | (Department of Mathematics and Physics,Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou 450015,China) |
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| Abstract: | The background value and initial condition have an hugely effect on fitting and prediction of GM(1,1) model.By optimizing to background value of model,letting modified form x(1)(n)+ β be the initial condition,and using of the method of minimum squares to minimize the errors of new forecasting value of original sequence,the new GM(1,1) model are put forward in this paper.At last,the application of computation results show that the optimized new GM(1,1) has a very high fitting and prediction precision. |
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| Keywords: | Grey system GM(1 1) model background value initial condition |
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