基于博弈论的高速公路路面性能物元可拓评价模型研究
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摘要
为了科学全面地评价高速公路路面性能,通过建立基于博弈论的高速公路路面性能物元可拓评价模型,选取路面损坏状况指数PCI、行驶质量指数RQI、车辙深度指数RDI以及抗滑性能指数SRI等4个路面性能评价指标,将主观赋权法(本文采用德尔菲法)和客观赋权法(本文采用简单关联函数法)结合起来构建两方完全信息静态博弈,得到纳什均衡解,即基于博弈论的组合赋权值,然后运用可拓学的相关理论对高速公路路面性能进行评价。为验证该模型的科学性与准确性,本文使用2016年吉林省境内京哈高速公路相关路段的实际数据,运用到所建立的模型中,得到的结果与高速公路路面实际状态十分相符,表明基于博弈论的高速公路路面性能物元可拓评价模型能够准确合理地反映高速公路路面性能状况。
To evaluate the highway pavement performance in a scientific and comprehensive way,a matter element extension evaluation model for highway pavement performance is established based on game theory.Four pavement performance evaluation indexes are selected which are PCI(pavement condition index),RQI(riding quality index),RDI(rut depth index)and SRI(skid resistance index),the subjective empowerment method(Delphi Method)and objective empowerment method(simple correlation function method)are combined to construct a two-party complete information static game and to obtain the Nash equilibrium solution which is a combined weight coefficient based on game theory.Then the relevant theory of extension is used to evaluate the performance of highway pavement.In order to verify the scientificity and accuracy of the model,in this paper the actual data of the relevant section of the BeijingHarbin highway in Jilin province in 2016 are used to apply to the established model.The results obtained are in good agreement with the actual conditions of the highway pavement performance which indicates that this model can accurately and reasonably evaluate the condition of highway pavement performance.
To evaluate the highway pavement performance in a scientific and comprehensive way,a matter element extension evaluation model for highway pavement performance is established based on game theory.Four pavement performance evaluation indexes are selected which are PCI(pavement condition index),RQI(riding quality index),RDI(rut depth index)and SRI(skid resistance index),the subjective empowerment method(Delphi Method)and objective empowerment method(simple correlation function method)are combined to construct a two-party complete information static game and to obtain the Nash equilibrium solution which is a combined weight coefficient based on game theory.Then the relevant theory of extension is used to evaluate the performance of highway pavement.In order to verify the scientificity and accuracy of the model,in this paper the actual data of the relevant section of the BeijingHarbin highway in Jilin province in 2016 are used to apply to the established model.The results obtained are in good agreement with the actual conditions of the highway pavement performance which indicates that this model can accurately and reasonably evaluate the condition of highway pavement performance.
引文
[1]林杜.基于模糊物元的水泥混凝土路面性能评价研究[D].长沙理工大学,2006.
[2]辛红升.高速公路里面使用性能评价、预测及养护决策的研究[D].长安大学,2008.
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[5]周岚.高速公路沥青路面使用性能评价及预测研究[D].东南大学,2015.
[6]赵帅,张金喜,崔来军.基于动态权重的路面使用性能指数评价方法研究[J].中外公路,2017,37(5):51-55.
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[2]辛红升.高速公路里面使用性能评价、预测及养护决策的研究[D].长安大学,2008.
[3]潘怀兵.基于主成分分析法的沥青路面使用性能评价[J].重庆交通大学学报:自然科学版,2010,29(6):888-890.
[4]尚宝玉.基于组合预测与模糊优化的高速公路路面养护决策研究[D].武汉理工大学,2011.
[5]周岚.高速公路沥青路面使用性能评价及预测研究[D].东南大学,2015.
[6]赵帅,张金喜,崔来军.基于动态权重的路面使用性能指数评价方法研究[J].中外公路,2017,37(5):51-55.
[7]蔡文,杨春燕,林伟初.可拓工程方法[M].北京:科学出版社,1997.