REPRESENTATION OF CAPACITY DROP AT A ROAD MERGE VIA POINT CONSTRAINTS IN A FIRST ORDER TRAFFIC MODEL
Résumé
We reproduce the capacity drop phenomenon at a road merge by implementing a non-local point constraint at the junction in a first order traffic model. We call capacity drop the situation in which the outflow through the junction is lower than the receiving capacity of the outgoing road, as too many vehicles trying to access the junction from the incoming roads hinder each other. In this paper, we first construct an enhanced version of the locally constrained model introduced by Haut, Bastin and Chitour in [21], then we propose its counterpart featuring a non-local constraint and finally we compare numerically the two models by constructing an adapted finite volumes scheme.
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