234 citations · 237 across the 3 of their papers we have counts for
3 papers
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…
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…
Duality and separation theorems in idempotent semimodules
Guy Cohen, Stephane Gaubert, Jean-Pierre Quadrat
We consider subsemimodules and convex subsets of semimodules over semirings with an idempotent addition. We introduce a nonlinear projection on subsemimodules: the projection of a…