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Equazioni alle Derivate Parziali nella Dinamica dei Fluidi

On the optimization of traffic flow at a junction

speaker: Fabio Ancona (Università di Padova)

abstract: We consider a traffic flow model at a junction where the dynamics follows the classical conservation law formulation introduced by Lighthill, Whitham and Richards. The usual approach to achieve uniqueness of solutions is based on a pointwise maximization criteria involving the solutions of boundary Riemann problems. We shall address a general optimization problem where the boundary data and the distributional parameters at the junction are regarded as controls. The goal is to select, on a given time interval 0,T, (possibly non unique) solutions which maximize a suitable functional of the flux traces of the incoming edges (as maps over the whole interval 0,T), among all entropy admissible solutions that preserve the conservation of cars through the junction and satisfy some distributional rules.

This is a joint work with A. Cesaroni, G. M. Coclite and M. Garavello.

Mon 5 Feb, 15:05 - 15:40, Aula Dini
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