| GM(1,1)模型灰色作用量的优化 |
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| 引用本文： | 徐华锋,刘思峰,方志耕.GM(1,1)模型灰色作用量的优化[J].数学的实践与认识,2010,40(2). |
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| 作者姓名： | 徐华锋 刘思峰 方志耕 |
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| 作者单位： | 1. 南京航空航天大学经济与管理学院,江苏,南京,210016;河南城建学院数理系,河南,平顶山,467044
2. 南京航空航天大学经济与管理学院,江苏,南京,210016 |
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| 基金项目： | 国家自然科学基金(70701017); 国家社科重点项目(08AJY024) |
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| 摘 要： | 通过把GM(1,1)模型中的灰色作用量b改进为动态的b_1+b_2k,从而构建了对灰色作用量优化的GM(1,1)模型.通过实例的验证以及与GM(1,1)模型对比,发现优化的GM(1,1)模型的模拟精度和预测精度均较高.
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| 关 键 词： | GM(1 1)模型 灰色作用量 优化 预测 |
Optimum Grey Action Quantity for GM(1,1) |
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| XU Hua-feng,LIU Si-Feng,FANG Zhi-geng.Optimum Grey Action Quantity for GM(1,1)[J].Mathematics in Practice and Theory,2010,40(2). |
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| Authors: | XU Hua-feng LIU Si-Feng FANG Zhi-geng |
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| Institution: | XU Hua-feng~(1,2),LIU Si-Feng~1,FANG Zhi-geng~1 (1.College of Economics , Management,Nanjing University of Aeronautics , Astronautics,Nanjing 210016,China) (2.Mathematics , Physics Department Henan University of Urban Construction,Pingdingshan 467044,China) |
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| Abstract: | In this paper,The grey action quantity b in GM(1,1) model has been improved to dynamic one,that is b_1 + b_2k.Thus we construct an optimum model to the GM(1,1).By contrasting the optimum one to the GM(1,1) about the simulation and prediction,we can conclude that the optimum one is superior in prediction and simulation,and it is interesting that the optimum one widen its suitable range. |
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| Keywords: | GM(1 1) model grey action quantity optimum forecast |
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