Traffic on networks: modeling and analysis
Résumé
We are interested in the traffic of cars on a network, like for instance a city. We describe traffic using hamilton-Jacobi equations, and propose new general junction conditions that can be fully characterized. In the framework of viscosity solutions for discontinuous hamiltonians, we also prove a general comparison principle using a new vertex test function. With this powerful tool in hands, we show how to homogenize a general traffic on a whole network like a city.
Domaines
Optimisation et contrôle [math.OC]
Origine : Fichiers produits par l'(les) auteur(s)