Jean-Patrick Lebacque

**Titre**: Generic second order traffic modeling: recent progress.

**Auteurs**: J.P. Lebacque, M.M. Khoshyaran, S. Mammar, H. Haj-Salem

**Résumé**: Generic second order traffic modeling (GSOM)
has been introduced as a generalization of the ARZ (Aw-Rascle-Zhang) model.
The basic concepts are the following: conservation of vehicles and driver
dependent fundamental diagram. The latter is formalized as follows: the
funadamental diagram is assumed to depend on a driver attribute I, for
which a dynamic equation is given. The model variety results from the variety
of both fundamental diagram families and dynamic equations for I.

All GSOM models share common features: characterisctic elements, supply/demend,
intersection models, discretizations (Godunov, wave tracking, or lagrangian).
These will be presented in a unifying framework, as well as some examples:
ARZ model, 1-phase Colombo model, stochastic model.

Talk