by Joyce Zhang
Abstract: Using a stochastic discrete model for urban traffic flow, we study Macroscopic Fundamental Diagrams (MFD) and the cross-correlations between density and flow of arterial road networks. With homogeneously distributed densities, we find a well-defined MFD and a monotonic relation between the cross-correlation and density. The results suggest that the cross-correlation is a natural indicator of traffic phases and vanishes when the network is at capacity. The density spatial heterogeneity has strong impact on the MFD and cross-correlation curve. A case study of perimeter control strategies based on MFD and cross-correlation is conducted. The simulation results suggest that, even with anisotropic traffic demands, both control strategies can improve the network performance in terms of both the traffic flow and density heterogeneity.
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