Optimal regions for congested transport

Giuseppe Buttazzo (1) , Guillaume Carlier (2) , Serena Guarino Lo Bianco (1)

1 Dipartimento di Matematica [Pisa]
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We consider a given region where the tra c ows according to two regimes: in a region C we have a low congestion, where in the remaining part n C the congestion is higher. The two congestion functions H1 and H2 are given, but the region C has to be determined in an optimal way in order to minimize the total transportation cost. Various penalization terms on C are considered and some numerical computations are shown.

Domaines: Optimisation et contrôle [math.OC]

Giuseppe Buttazzo, Guillaume Carlier, Serena Guarino Lo Bianco. Optimal regions for congested transport. 2014. ⟨hal-00987291⟩