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Survivability of public transit network based on network structure entropy

Author

Listed:
  • Bai-Bai Fu

    (School of Architecture and Urban Planning, Shandong Jianzhu University, Jinan 250101, P. R. China)

  • Lin Zhang

    (School of Transportation Engineering, Shandong Jianzhu University, Jinan 250101, P. R. China)

  • Shu-Bin Li

    (Public Security Department, Shandong Policy College, Jinan 250014, P. R. China)

  • Yun-Xuan Li

    (School of Transportation Engineering, Shandong Jianzhu University, Jinan 250101, P. R. China)

Abstract

In this work, we have collected 195 bus routes and 1433 bus stations of Jinan city as sample date to build up the public transit geospatial network model by applying space L method, until May 2014. Then, by analyzing the topological properties of public transit geospatial network model, which include degree and degree distribution, average shortest path length, clustering coefficient and betweenness, we get the conclusion that public transit network is a typical complex network with scale-free and small-world characteristics. Furthermore, in order to analyze the survivability of public transit network, we define new network structure entropy based on betweenness importance, and prove its correctness by giving that the new network structure entropy has the same statistical characteristics with network efficiency. Finally, the "inflexion zone" is discovered, which can be taken as the momentous indicator to determine the public transit network failure.

Suggested Citation

  • Bai-Bai Fu & Lin Zhang & Shu-Bin Li & Yun-Xuan Li, 2015. "Survivability of public transit network based on network structure entropy," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(09), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:09:n:s0129183115501041
    DOI: 10.1142/S0129183115501041
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    Citations

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    Cited by:

    1. 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.
    2. Zhang, Lin & Wen, Huiying & Lu, Jian & Lei, Da & Li, Shubin & Ukkusuri, Satish V., 2022. "Exploring cascading reliability of multi-modal public transit network based on complex networks," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    3. 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.

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