Optimal networks for mass transportation problems
Alessio Brancolini, Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy; email@example.com
2 Giuseppe Buttazzo, Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy; firstname.lastname@example.org
In the framework of transport theory, we are interested in the following optimization problem: given the distributions µ+ of working people and µ- of their working places in an urban area, build a transportation network (such as a railway or an underground system) which minimizes a functional depending on the geometry of the network through a particular cost function. The functional is defined as the Wasserstein distance of µ+ from µ- with respect to a metric which depends on the transportation network.
Mathematics Subject Classification: 49J45 / 49Q10 / 90B10
Key words: Optimal networks / mass transportation problems.
© EDP Sciences, SMAI, 2005