关键词: 交通流时间序列/
可视图/
复杂网络/
聚类分析
English Abstract
Analysis of multi-state traffic flow time series properties using visibility graph
Xing Xue1,2,Yu De-Xin1,3,
Tian Xiu-Juan1,
Wang Shi-Guang1
1.College of Transportation, Jilin University, Changchun 130022, China;
2.College of Information and Control Engineering, Jilin Institute of Chemical Technology, Jilin 132022, China;
3.Jilin Provincial Key Laboratory of Road Traffic, Jilin University, Changchun 130022, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant No. 51308248) and the National Key Technology Support Program of China (Grant No. 2014BAG03B03).Received Date:19 March 2017
Accepted Date:23 July 2017
Published Online:05 December 2017
Abstract:A traffic flow time series is a sequence of traffic detection parameters in chronological order. This differs from a general quantitative data sequence in that the time series includes a time attribute that contains not only the data with time characteristics, but also the distribution of the data itself. To date, studies of traffic time series have primarily adopted data mining methods consisting of data mining and machine learning methods–similar sequence search, dimension reduction, clustering, classification, pattern analysis, prediction, etc. In order to improve the visualization of traffic flow time series and feature analyses, a proposed method builds the association networks of traffic flow time series by using visibility graph theory. This approach differs from traditional traffic flow theory as it performs feature analysis of traffic flow time series from the perspective of complex networks, and then analyzes the relationship between the characteristics of the structure in the visual network and the state characteristics of the traffic flow. The proposed method also takes into account the different traffic flow time sequences that correspond to different traffic states.In the network building process using the proposed method, the traffic flow is classified by correlating the traffic flow parameters to the structure of the complex time series networks under different traffic conditions through considering the changes in traffic flow characteristics under various traffic conditions. Next, statistical analyses of the signs and attributes of the networks (e.g. degree distribution, clustering coefficient, network diameter, and modularization) are conducted. The analysis results show that the proposed visibility graph method can provide an effective approach to mapping traffic flow time series to the network. Moreover, the modularity, clustering coefficient, and degree distribution of the traffic flow time series networks in different traffic states show specifically varying patterns, providing a way to visually analyze the trends in traffic flow operation. When the traffic condition is at level 1, the distribution of the scattered points of the network conforms to a power law distribution. When the traffic condition is at any other level, the distribution of the scattered points of the network is consistent with a Gaussian distribution. The modularity of the time series network also shows some statistical characteristics, that is, the number of modules grows rapidly when the traffic state switches from smooth to moderate congestion, but decreases slowly when the traffic state switches from moderate congestion to serious congestion. These characteristics can be used to distinguish different traffic states, providing more perspective to understand different traffic scenarios. In this work we preliminarily study the attributes of traffic time series based on the proposed visibility graph method. Future efforts will continue to compare various methods of time series network construction to determine the pros and cons of each method for further analysis.
Keywords: traffic flow time series/
visibility graph/
complex network/
cluster
