复杂网络视角下交通网络拓扑结构分析  

Topology Analysis of Traffic Network from the Perspective of Complex Network

作　　者：狄金茹 曹海松 李恒燕 Di Jinru;Cao Haisong;Li Hengyan(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,郑州450046

出　　处：《黑龙江科学》2024年第10期52-55,59,共5页Heilongjiang Science

基　　金：2022年华北水利水电大学高等教育教学改革研究与实践项目“学科交叉背景下研究生创新人才培养模式改革与实践”;2022年度华北水利水电大学应用数学学科产教融合教师创新实践流动站;华北水利水电大学研究生教育改革与质量提升工程项目(NCWUSZKC202304);2024年度河南省高等学校重点科研项目(24B110007)。

摘　　要：对交通流量数据构建复杂的网络模型,从矩阵视角对其拓扑结构进行分析。结果表明,此交通复杂网络位置节点的度分布符合幂律分布,即BA无标度网络。经过对数据处理,聚类系数较大,平均路径长度较小,网络呈小世界性,通过MATLAB分析数据得到Laplace矩阵的特征值,得到此网络的同步能力较弱。相关部门可根据此结果对公共交通及共享交通工具进行合理安排及调整,进一步提升通行效率及公共资源的利用率,使拥堵现象和资源浪费导致的环境污染问题得到缓解。Complex network model is established based on traffic flow data,then its topology are analyzed from the perspective of matrix.The conclusion shows that the degree distribution of the location nodes of this complex traffic network accords with the power law distribution,i.e.,the BA scale-free network.With data processing,the clustering coefficient is large,the average path length is small,and the network is small worldwide.The eigenvalue of Laplace matrix obtained by MATLAB analysis shows that the synchronization ability of this network is weak.According to the conclusion of the study,relevant traffic control departments and enterprises can make reasonable arrangements and adjustments to public transportation and shared transportation,further improve the traffic efficiency and the utilization rate of public resources,and alleviate the environmental pollution caused by congestion and resource waste.

关 键 词：复杂网络 交通网络 LAPLACE矩阵 BA无标度 小世界性 

分 类 号：U239.5[交通运输工程—道路与铁道工程] O157.5[理学—数学]