Abstract
The occupancy of the road and transition rate have a significant impact on traffic flow in real traffic dynamics. Thus, the macroscopic traffic flow has been investigated in a percolation-backbone fractal with the consideration of occupancy of the road and transition rate. The traffic flow on the fractal network is presented with the help of a cell-transmission graph. The density equations are derived using the speed-matching model. The fundamental diagrams are obtained for urban-scale traffic networks by solving the density equations numerically. The steady-state vehicular densities and traffic currents are plotted for different cases of occupancy and transition rate. It is found that the traffic flow increases significantly with the increase in occupancy of the road and transition rate.
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