A comparative study of Macroscopic Fundamental Diagrams of urban road networks governed by different traffic signal systems

Nonlinear Sciences – Cellular Automata and Lattice Gases

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18 pages, 11 figures

Scientific paper

Using a stochastic cellular automaton model for urban traffic flow, we study and compare Macroscopic Fundamental Diagrams (MFDs) of arterial road networks governed by different types of adaptive traffic signal systems. In particular, we simulate realistic signal systems that include signal linking and adaptive cycle times, and compare their performance against a network using highly adaptive self-organizing traffic signals. We find that for networks with time- independent boundary conditions, well-defined stationary MFDs are observed, whose shape depends on the particular signal system used, and also on the level of heterogeneity in the system. We find that the spatial heterogeneity of both density and flow provide important indicators of network performance. We also study networks with time-dependent boundary conditions, containing morning and afternoon peaks. In this case, intricate hysteresis loops are observed in the MFDs which are strongly correlated with the density heterogeneity. Our results show that the MFD of the self-organizing traffic signals lies above the MFD for the realistic systems, suggesting that higher adaptivity provides overall better performance and higher capacity.

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