journal6 ›› 2006, Vol. 27 ›› Issue (4): 47-49.

• 物理与电子 • 上一篇    下一篇

灰色模型GM(1,1)的稳健算法及其应用

  

  1. (1.河海大学土木工程学院,南京 210098;2.南昌工程学院水利系,江西 南昌 330000)
  • 出版日期:2006-07-25 发布日期:2012-08-22
  • 作者简介:田林亚(1963-),男,江苏淮阴人,博士,河海大学土木工程学院副教授,主要从事测量数据处理理论与技术研究.

Research and Application of Robust Calculation Method for Grey Model (1,1)

  1. (1.College of Civil Engineering of Hohai University,Nanjing 210098,China;2.Department of Hydraulic,College of Nanchang Engineering,Nanchang 330000,China)
  • Online:2006-07-25 Published:2012-08-22

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.

关键词: 灰色模型, 稳健灰色模型, 最小一乘法, 沉降预报

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.

Key words: grey model;robust grey model, least absolute deviation, settlement prediction

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