Calculus of Variations and Geometric Measure Theory

G. Buttazzo

Three Optimization Problems in Mass Transportation Theory

created on 20 Feb 2004



Inserted: 20 feb 2004

Year: 2004


We give a model for the description of an urban transportation network and we consider the related optimization problem which consists in finding the desing of the network which has the best transportation performances. This will be done by introducing, for every admissible network, a suitable metric space with a distance that inserted into the Monge-Kantorovich cost functional provides the criterion to be optimized. Together with the optimal design of an urban transportation network, other kinds of optimization problems related to mass transportation can be considered. In particular we will illustrate some models for the optimal design of a city, and for the optimal pricing policy on a given transportation network.