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Traffic on networks: modeling and analysis

Abstract : 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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https://hal.inria.fr/hal-01024739
Contributor : Hasnaa Zidani <>
Submitted on : Friday, July 18, 2014 - 1:56:50 PM
Last modification on : Wednesday, November 14, 2018 - 11:36:14 AM
Long-term archiving on: : Monday, November 24, 2014 - 4:43:20 PM

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  • HAL Id : hal-01024739, version 1

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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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