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math.OC2013
The Traffic Phases of Road Networks
Nadir Farhi, Maurice Goursat, Jean-Pierre Quadrat
We study the relation between the average traffic flow and the vehicle density on road networks that we call 2D-traffic fundamental diagram. We show that this diagram presents main…
math.OC2009★ 3 cited
About Dynamical Systems Appearing in the Microscopic Traffic Modeling
Nadir Farhi, Maurice Goursat, Jean-Pierre Quadrat
Motivated by microscopic traffic modeling, we analyze dynamical systems which have a piecewise linear concave dynamics not necessarily monotonic. We introduce a deterministic Petri…