Passenger Flow Characteristics of Seoul Metropolitan Subway Network

Authors: Kang Won Lee, Jung Won Lee

Abstract:

Characterizing the network flow is of fundamental importance to understand the complex dynamics of networks. And passenger flow characteristics of the subway network are very relevant for an effective transportation management in urban cities. In this study, passenger flow of Seoul metropolitan subway network is investigated and characterized through statistical analysis. Traditional betweenness centrality measure considers only topological structure of the network and ignores the transportation factors. This paper proposes a weighted betweenness centrality measure that incorporates monthly passenger flow volume. We apply the proposed measure on the Seoul metropolitan subway network involving 493 stations and 16 lines. Several interesting insights about the network are derived from the new measures. Using Kolmogorov-Smirnov test, we also find out that monthly passenger flow between any two stations follows a power-law distribution and other traffic characteristics such as congestion level and throughflow traffic follow exponential distribution.

Keywords: Betweenness centrality, correlation coefficient, power-law distribution, Korea traffic data base.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1317240

References:

[1] M. E. J. Newman. (2010). Networks: An Introduction, UK: Oxford University Press.
[2] S. Stoilova., & V. Stoev. (2015). An Application of the graph theory which examines the metro networks, Transport Problems, Volume 10, Issue 2, pp 35-48.
[3] S. Derrible. (2012, July). Network centrality of metro systems, PloS One, Volume 7, Issue 7, e40575, pp 1-10.
[4] C. P. Monterola., M. A. Ramli., G. L. K. Khoon., & T. H. G. Guang. (2014). A Method to Ascertain Rapid Transit System’s Throughput Distribution Using Network Analysis,” Procedia Computer Science, Volume 29, pp 1621-1630.
[5] K. H. Han., Y. S. Seo., & G. B. Park. (2015). Subway stations network analysis by using social network analysis, KSR, pp 34-40.
[6] S. Y. ZZang., & K.W. Lee. (2016, June). Characteristics and Efficiency Analysis of Evolutionary Seoul metropolitan Subway Network, Journal of the Korean Society for Railway, Volume 19, No.3, pp.388-396.
[7] J. W. Lee, & K. W. Lee. (2017). Analysis of Seoul Metropolitan Subwy network Characteristics using Network Centrality Measures, Journal of the Korean Society for Railway, Volume 20, No.3, pp.413-422.
[8] K.W. Lee, & J.W. Lee. (2018). network Betweenness Centrality and Passenger Flow Analysis of Seoul Metropolitan Subway Lines, Journal of the Society of Korea Industrial and Systems Engineering, Volume 41, No.2, (to appear).
[9] Korea Transport Database (Aug.20 2017). http://www.ktdb.go.kr.
[10] Seoul Open Data Plaza (Sep.17 2017). http://data.seoul.go.kr.
[11] Korean Statistical Information Service (Sep.17 2017). http://kosis.kr.