Numerical approximation of continuous traffic congestion equilibria | Zendy

Fethallah Benmansour | Zendy; Guillaume Carlier | Zendy; Gabriel Peyré | Zendy; Filippo Santambrogio | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Numerical approximation of continuous traffic congestion equilibria

Author(s) -

Fethallah Benmansour,

Guillaume Carlier,

Gabriel Peyré,

Filippo Santambrogio

Publication year - 2009

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2009.4.605

Subject(s) - discretization , geodesic , convergence (economics) , metric (unit) , scheme (mathematics) , mathematics , fast marching method , numerical analysis , computer science , mathematical optimization , mathematical analysis , algorithm , operations management , economics , economic growth

International audienceStarting from a continuous congested traffic framework recently introduced in [Carlier, Jimenez, Santambrogio, 2008], we present a consistent numerical scheme to compute equilibrium metrics. We show that equilibrium metric is the solution of a variational problem involving geodesic distances. Our discretization scheme is based on the Fast Marching Method. Convergence is proved via a $\Gamma$-convergence result and numerical results are given

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research