Traffic flow on percolation-backbone fractal

Takashi Nagatani

Chaos, Solitons & Fractals, 2020, vol. 135, issue C

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.

Keywords: Traffic dynamics; Fractal; Network; Fundamental diagram; Speed-matching model (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301739

DOI: 10.1016/j.chaos.2020.109771

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