12/12/2022 0 Comments Timeplus dso![]() This paper presents a model reference adaptive control MRAC framework for real-time traffic management under emergency evacuation. Recent natural or man-made disasters around the world have provided compelling evidence that transportation system plays a crucial role in the emergency evacuation and have stressed the need for effective evacuation traffic management to maximize the utilization of the transportation system and to minimize fatalities and losses. The new model also generates a plausible fundamental diagram, which demonstrates that it captures well the stationary flow/density relationships in both congested and uncongested conditions. It goes beyond the KWM in that it captures queue lengths and spillbacks probabilistically, which allows for a richer analysis than the deterministic predictions of the KWM. A comparison with results predicted by the kinematic wave model (KWM) shows that the new model correctly represents the dynamic build-up, spillback, and dissipation of queues. The physical correctness of the new model is experimentally confirmed in several congestion regimes. ![]() The original model is specified in terms of a set of differentiable equations, which in the new model are carried over to a set of equally smooth difference equations. The approach builds upon an existing stationary queueing network model that is based on finite capacity queueing theory. The model also captures the spatial correlation of all queues adjacent to a node, and derives their joint distribution. We present a dynamic network loading model that yields queue length distributions, accounts for spillbacks, and maintains a differentiable mapping from the dynamic demand on the dynamic queue lengths. ![]()
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