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桥梁技术状况预测的灰色马尔可夫链模型研究

GM(1,1)-Markov Model for Prediction of Bridge Technical Condition

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【作者】 耿波王君杰张谢东

【Author】 Geng Bo1) Wang Junjie1) Zhang Xiedong2)(Bridge Engineering Department,TJU,Shanghai 200092)1)(School of Transportation,Wuhan University of Technology,Wuhan 430063)2)

【机构】 同济大学桥梁系武汉理工大学交通学院 上海200092上海200092武汉430063

【摘要】 提出将灰色马尔可夫链用于桥梁的技术状况预测中,以解决传统的回归分析模型无法考虑不确定因素对结构技术状况的影响和概率型模型对单一桥梁预测的局限性问题,提出了将灰色模型GM(1,1)与马尔可夫链有机结合起来,利用二者的优点充分考虑了桥梁技术状况的整体趋势和局部波动情况,最大限度地利用历史信息.通过对国外某桥的技术状况进行预测分析并与传统的预测方法进行对比,证实了该模型的预测精度.

【Abstract】 With increasing age,the bridge technical condition prediction is becoming essential for bridge management authority to enable bridge to be maintained at minimum overall cost.In this paper,the application of GM(1,1)-Markov Model in individual bridge prediction is put forward.The GM(1,1)-Markov Model is a model combining Markov Model with Grey Model(1,1).When predicting,GM(1,1) represents the total deterioration tendency of bridge,on base of which Markov Model will take into account other uncertain factors leading to bridge condition improvement such as maintenance.This model to some extent settled the limitation of conventional regression model only for total tendency and probabilistic model merely used in bridge stock.In the end of this paper the model is applied in various bridge condition predicting,which gets good results.

【关键词】 桥梁技术状况预测
【Key words】 bridgetechnical conditionprediction
  • 【文献出处】 武汉理工大学学报(交通科学与工程版) ,Journal of Wuhan University of Technology(Transportation Science & Engineering) , 编辑部邮箱 ,2007年01期
  • 【分类号】U446
  • 【被引频次】37
  • 【下载频次】447
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