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Optimal traffic networks topology: A complex networks perspective

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  • Wu, Jian-Jun
  • Gao, Zi-You
  • Sun, Hui-jun

Abstract

We investigate and analyse an optimal traffic network structure for resisting traffic congestion with different volumes of traffic. For this aim, we introduce a cost function and user-equilibrium assignment (UE) which ensures the flow balance on traffic systems. Our finding is that an optimal network is strongly dependent on the total system flow. And the random network is most desirable when the system flow is small. But for the larger volume of traffic, the network with power-law degree distribution is the optimal one. Further study indicates, for scale-free networks, that the degree distribution exponent has large effects on the congestion of traffic network. Therefore, the volume of traffic and characteristic of network determine the optimal network structure so as to minimize the side-effect produced by traffic congestion.

Suggested Citation

  • Wu, Jian-Jun & Gao, Zi-You & Sun, Hui-jun, 2008. "Optimal traffic networks topology: A complex networks perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 1025-1032.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:4:p:1025-1032
    DOI: 10.1016/j.physa.2007.10.014
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    References listed on IDEAS

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    1. Wu, J.J. & Gao, Z.Y. & Sun, H.J., 2007. "Effects of the cascading failures on scale-free traffic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 505-511.
    2. Zoltán Toroczkai & Kevin E. Bassler, 2004. "Jamming is limited in scale-free systems," Nature, Nature, vol. 428(6984), pages 716-716, April.
    3. G. Paul & T. Tanizawa & S. Havlin & H. Stanley, 2004. "Optimization of robustness of complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 38(2), pages 187-191, March.
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    Cited by:

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    2. Rui Ding & Jian Yin & Peng Dai & Lu Jiao & Rong Li & Tongfei Li & Jianjun Wu, 2019. "Optimal Topology of Multilayer Urban Traffic Networks," Complexity, Hindawi, vol. 2019, pages 1-19, October.
    3. Ding, Rui & Zhou, Tao & Zhang, Yilin & Du, YiMing & Chen, Shihui & Fu, Jun & Du, Linyu & Zhang, Ting & Li, Tongfei, 2022. "The influence of average speed ratio on multilayer traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    4. Liming Zhang & Ming Cai & Yingxin Zhang & Shuai Wang & Yao Xiao, 2024. "Two-layer network evolutionary game model applied to complex systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(11), pages 1-17, November.
    5. 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.
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    9. Feng, Jia & Li, Xiamiao & Mao, Baohua & Xu, Qi & Bai, Yun, 2017. "Weighted complex network analysis of the Beijing subway system: Train and passenger flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 213-223.

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