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Traffic flow on percolation-backbone fractal

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  • Nagatani, Takashi

Abstract

We study the urban-scale macroscopic traffic flow in fractal network which represents a percolation backbone. We show where and how the traffic densities and currents vary with increasing mean density in the fractal network. The fractal network is transformed to the cell-transmission graph where a node corresponds to a road. The dynamic equations of vehicular densities on all nodes (roads) are presented by using the speed-matching model on the cell-transmission graph. The recursion formulas are obtained for the coefficients of density equations. By solving the density equations numerically, the densities on all roads are derived at a steady state. The urban-scale macroscopic fundamental (current-density) diagrams are obtained numerically in the fractal network. We clarify how the geometrical structure of fractal network affects the traffic characteristics.

Suggested Citation

  • Nagatani, Takashi, 2020. "Traffic flow on percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    • Handle: RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301739
    DOI: 10.1016/j.chaos.2020.109771
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    References listed on IDEAS

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    Cited by:

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    2. Verma, Muskan & Sharma, Sapna, 2023. "Modeling heterogeneity in an open percolation backbone fractal traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).

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