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Network harness: Metropolis public transport

Author

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  • von Ferber, C.
  • Holovatch, T.
  • Holovatch, Yu.
  • Palchykov, V.

Abstract

We analyze the public transport networks (PTNs) of 14 major cities of the world. While the primary network topology is defined by a set of routes each servicing an ordered series of given stations, a number of different neighborhood relations may be defined both for the routes and the stations. The networks defined in this way display distinguishing properties, the most striking being that often several routes proceed in parallel for a sequence of stations. Other networks with real-world links like cables or neurons embedded in two or three dimensions often show the same feature—we use the car engineering term harness for such networks. Geographical data for the routes reveal surprising self-avoiding walk (SAW) properties. We propose and simulate an evolutionary model of PTNs based on effectively interacting SAWs that reproduces the key features.

Suggested Citation

  • von Ferber, C. & Holovatch, T. & Holovatch, Yu. & Palchykov, V., 2007. "Network harness: Metropolis public transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 585-591.
    • Handle: RePEc:eee:phsmap:v:380:y:2007:i:c:p:585-591
    DOI: 10.1016/j.physa.2007.02.101
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    Citations

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    Cited by:

    1. Wang, Ziyulong & Huang, Ketong & Massobrio, Renzo & Bombelli, Alessandro & Cats, Oded, 2024. "Quantification and comparison of hierarchy in Public Transport Networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    2. Zhou, Yuyang & Zheng, Shuyan & Hu, Zhonghui & Chen, Yanyan, 2022. "Metro station risk classification based on smart card data: A case study in Beijing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    3. Hu, Baoyu & Feng, Shumin & Li, Jinyang & Zhao, Hu, 2018. "Statistical analysis of passenger-crowding in bus transport network of Harbin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 426-438.
    4. Luo, Ding & Cats, Oded & van Lint, Hans & Currie, Graham, 2019. "Integrating network science and public transport accessibility analysis for comparative assessment," Journal of Transport Geography, Elsevier, vol. 80(C).
    5. Zhang, Lin & Lu, Jian & Fu, Bai-bai & Li, Shu-bin, 2019. "A cascading failures model of weighted bus transit route network under route failure perspective considering link prediction effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1315-1330.
    6. Lin Zhang & Jian Lu & Bai-bai Fu & Shu-bin Li, 2018. "A Review and Prospect for the Complexity and Resilience of Urban Public Transit Network Based on Complex Network Theory," Complexity, Hindawi, vol. 2018, pages 1-36, December.
    7. Derrible, Sybil & Kennedy, Christopher, 2010. "The complexity and robustness of metro networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3678-3691.
    8. Yingying Xing & Jian Lu & Shengdi Chen & Sunanda Dissanayake, 2017. "Vulnerability analysis of urban rail transit based on complex network theory: a case study of Shanghai Metro," Public Transport, Springer, vol. 9(3), pages 501-525, October.
    9. Sui, Yi & Shao, Fengjing & Yu, Xiang & Sun, Rencheng & Li, Shujing, 2019. "Public transport network model based on layer operations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 984-995.
    10. Xueguo Xu & Chen Xu & Wenxin Zhang, 2022. "Research on the Destruction Resistance of Giant Urban Rail Transit Network from the Perspective of Vulnerability," Sustainability, MDPI, vol. 14(12), pages 1-26, June.
    11. Ghosh, Saptarshi & Banerjee, Avishek & Ganguly, Niloy, 2012. "Some insights on the recent spate of accidents in Indian Railways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2917-2929.
    12. Hu, Zhibin & Wu, Guangdong & Han, Yilong & Niu, Yanliang, 2023. "Unraveling the dynamic changes of high-speed rail network with urban development: Evidence from China," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).
    13. Hu, Baoyu & Feng, Shumin & Nie, Cen, 2017. "Bus transport network of Shenyang considering competitive and cooperative relationship," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 259-268.
    14. Yilei Pan & Mengying Chang & Shumin Feng & Dongsheng Hao, 2023. "Modeling and Complex Characteristics of Urban Subway Co-Opetition Network: A Case Study of Wuhan," Sustainability, MDPI, vol. 15(1), pages 1-17, January.
    15. Feng, Shumin & Hu, Baoyu & Nie, Cen & Shen, Xianghao, 2016. "Empirical study on a directed and weighted bus transport network in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 85-92.

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