| 灰色模型GM(1,1)的稳健算法及其应用 |
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| 引用本文： | 田林亚,赵小飞,何习平. 灰色模型GM(1,1)的稳健算法及其应用[J]. 吉首大学学报(自然科学版), 2006, 27(4): 47-49 |
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| 作者姓名： | 田林亚 赵小飞 何习平 |
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| 作者单位： | 河海大学土木工程学院,南京,210098;南昌工程学院水利系,江西,南昌,330000 |
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| 摘 要： | 将最小一乘法应用于微分方程变量参数求解，建立稳健灰色模型RGM(1，1)，并将其应用于建筑物沉降预报和比较.研究和实际应用表明：稳健灰色模型RGM(1，1)比常规灰色模型GM(1，1)具有更好的抗干扰性能和受异常点影响小的优点，根据少量的观测数据建立的RGM(1，1)模型有更好的预报应用价值.
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| 关 键 词： | 灰色模型 稳健灰色模型 最小一乘法 沉降预报 |
| 文章编号： | 1007-2985（2006）04-0047-03 |
| 收稿时间： | 2006-05-20 |
| 修稿时间： | 2006-05-20 |
Research and Application of Robust Calculation Method for Grey Model ( 1,1 ) |
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| TIAN Lin-ya,ZHAO Xiao-fei,HE Xi-ping. Research and Application of Robust Calculation Method for Grey Model ( 1,1 )[J]. Journal of Jishou University(Natural Science Edition), 2006, 27(4): 47-49 |
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| Authors: | TIAN Lin-ya ZHAO Xiao-fei HE Xi-ping |
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| Affiliation: | (1.College of Civil Engineering of Hohai University,Nanjing 210098,China；2.Department of Hydraulic,College of Nanchang Engineering,Nanchang 330000,China) |
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| Abstract: | Appling least absolute deviation to calculate variable parameter of differential equation,robust grey model RGM(1,1) has been set up and used to forecast the settlement tendency of building.The results show that,comparing with the normal GM(1,1) model,the robust GM(1,1) model has the advantages of better resistence against disturbance and less deviation by the influence of outlier.What's more,RGM(1,1) which can be builded with little data,is more applicable useful than the other models. |
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| Keywords: | grey model robust grey model least absolute deviation settlement prediction |
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