Dynamic Traffic Assignment with Macroscopic Fun- damental Diagrams

Dynamic traffic management strategies (e.g. perimeter control, gating) that benefit from macroscopic fundamental diagram (MFD) dynamics provided promising results regarding their effects on network capacity and performance. However, this raises the question of route choice behavior in case of heterogeneous urban networks, where different parts are modeled with separate MFD functions. In this study, we incorporate a route choice model into the MFD, and establish stochastic dynamic user equilibrium (SDUE) conditions. This study satisfies equilibrium conditions through two main components; stochastic network loading and averaging with method of successive averages (MSA). The loading procedure incorporates random sampling of origin and destination points inside the regions and a logit-based traffic assignment component to account for trip length distributions and perception errors in travel time, respectively. The results taken from stochastic loading procedure are, then, processed through MSA, which is an effective solution heuristic highly implemented in simulation-based DTA, and SDUE conditions are achieved in the network.