Optimization criteria for modelling intersections of vehicular traffic flow | Zendy

Michaël Herty | Zendy; Salissou Moutari | Zendy; M. Rascle | Zendy

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Optimization criteria for modelling intersections of vehicular traffic flow

Author(s) -

Michaël Herty,

Salissou Moutari,

M. Rascle

Publication year - 2006

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.2006.1.275

Subject(s) - intersection (aeronautics) , coupling (piping) , traffic flow (computer networking) , simple (philosophy) , computer science , flow (mathematics) , mathematical optimization , mathematics , microscopic traffic flow model , statistical physics , physics , mechanics , transport engineering , materials science , traffic generation model , engineering , real time computing , philosophy , computer security , epistemology , metallurgy

We consider coupling conditions for the “Aw–Rascle” (AR) traffic ow model at an arbitrary road intersection. In contrast with coupling conditions previously introduced in [10] and [7], all the moments of the AR system are conserved and the total ux at the junction is maximized. This nonlinear optimization problem is solved completely. We show how the two simple cases of merging and diverging junctions can be extended to more complex junctions, like roundabouts. Finally, we present some numerical results.

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