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Traffic on networks: modeling and analysis


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.
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hal-01024739 , version 1 (18-07-2014)


  • HAL Id : hal-01024739 , version 1


Régis Monneau. Traffic on networks: modeling and analysis. NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France. ⟨hal-01024739⟩
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