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Dynamics of subway networks based on vehicles operation timetable

Author

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  • Xiao, Xue-mei
  • Jia, Li-min
  • Wang, Yan-hui

Abstract

In this paper, a subway network is represented as a dynamic, directed and weighted graph, in which vertices represent subway stations and weights of edges represent the number of vehicles passing through the edges by considering vehicles operation timetable. Meanwhile the definitions of static and dynamic metrics which can represent vertices’ and edges’ local and global attributes are proposed. Based on the model and metrics, standard deviation is further introduced to study the dynamic properties (heterogeneity and vulnerability) of subway networks. Through a detailed analysis of the Beijing subway network, we conclude that with the existing network structure, the heterogeneity and vulnerability of the Beijing subway network varies over time when the vehicle operation timetable is taken into consideration, and the distribution of edge weights affects the performance of the network. In other words, although the vehicles operation timetable is restrained by the physical structure of the network, it determines the performances and properties of the Beijing subway network.

Suggested Citation

  • Xiao, Xue-mei & Jia, Li-min & Wang, Yan-hui, 2017. "Dynamics of subway networks based on vehicles operation timetable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 111-121.
    • Handle: RePEc:eee:phsmap:v:473:y:2017:i:c:p:111-121
    DOI: 10.1016/j.physa.2016.12.051
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    Cited by:

    1. Zhou, Li & Yang, Xin & Wang, Huan & Wu, Jianjun & Chen, Lei & Yin, Haodong & Qu, Yunchao, 2020. "A robust train timetable optimization approach for reducing the number of waiting passengers in metro systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    2. Wang, Chao & Meng, Xin & Guo, Mingxue & Li, Hao & Hou, Zhiqiang, 2022. "An integrated energy-efficient and transfer-accessible model for the last train timetabling problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).

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