华南理工大学学报(自然科学版) ›› 2015, Vol. 43 ›› Issue (4): 33-40.doi: 10.3969/j.issn.1000-565X.2015.04.006

• 交通与运输工程 • 上一篇    下一篇

基于加权复杂网络的公路网等级结构划分

邓亚娟1 王欢1 杜若1 胡绍荣2   

  1. 1. 长安大学 公路学院 交通工程研究所,陕西 西安 710064;2. 陕西省 交通运输厅,陕西 西安 710075
  • 出版日期:2015-04-25 发布日期:2015-03-03
  • 通信作者: 邓亚娟(1979-),女,博士,副教授,主要从事交通网络设计研究. E-mail:dengyajuan1223@163.com
  • 作者简介:邓亚娟(1979-),女,博士,副教授,主要从事交通网络设计研究.
  • 基金资助:
    国家自然科学基金资助项目(51208054);长安大学中央高校基本科研业务费专项资金资助项目(2013G1211002;2013G2212024);陕西省交通运输厅科技项目(13-36R)

Division of Highway Network Hierarchy Based on Weighted Complex Network

Deng Ya-juan1 Wang Huan1 Du Ruo1 Hu Shao-rong2   

  1. 1.Research Institute of Traffic Engineering,Highway School,Chang’an University,Xi’an 710064,Shaanxi,China;2. Shaanxi Provincial Transport Department,Xi’an 710075,Shaanxi,China
  • Online:2015-04-25 Published:2015-03-03
  • Contact: 邓亚娟(1979-),女,博士,副教授,主要从事交通网络设计研究. E-mail:dengyajuan1223@163.com
  • About author:邓亚娟(1979-),女,博士,副教授,主要从事交通网络设计研究.
  • Supported by:
    Supported by the National Natural Science Foundation of China(51208054)

摘要: 为划分公路网等级,引入复杂网络理论,采用对偶拓扑方法,将公路路线按照路名抽象为节点,考虑路段流量和贯穿度计算节点权重,并基于重力模型得到加权邻接矩阵,通过 Matlab 编程计算节点重要度指标、紧密度指标、介数指标,采用变异系数法计算节点综合指标权重,以规划年路网总里程为控制量筛选得到满足里程要求的节点;最后对所筛选出的节点采取模糊聚类,进行公路网等级划分. 研究结果表明:应用复杂网络理论进行公路网等级划分,不仅能够得出各等级公路里程,并且能够得出各等级公路的空间分布情况,为未来公路网等级的提升提供参考.

关键词: 交通工程, 路网等级, 复杂网络理论, 加权邻接矩阵, 模糊聚类

Abstract: In order to divide the highway network hierarchy reasonably,first,both the complex network theory and the dual topology method are adopted to abstract highway sections into different nodes. Then,the weights of the nodes are calculated by considering the traffic volume and the coherence degree,and a weighted adjacency matrix based on the gravity model is obtained. Moreover,the importance degree,closeness and betweenness of the nodes are calculated with the help of Matlab,the comprehensive weight of the nodes is obtained by means of the variation coefficient method,and the nodes satisfying the mileage requirement are filtrated by setting the planed annual mile-age as the control variable. Finally,a classification of highway network hierarchy is performed based on the fuzzy clustering of the filtrated nodes. The results show that the application of complex network theory to the classification of highway network hierarchy helps to obtain the mileage and space distribution of each highway grade,which bene-fits the level improvement of road networks.

Key words: traffic engineering, highway network hierarchy, complex network theory, weighted adjacency matrix, fuzzy clustering