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Issue ESAIM: COCV
Volume 11, Number 1, January 2005
Page(s) 88 - 101
DOI 10.1051/cocv:2004032

ESAIM: COCV, January 2005, Vol. 11, pp. 88-101
DOI: 10.1051/cocv:2004032

Optimal networks for mass transportation problems

Alessio Brancolini1 and Giuseppe Buttazzo2

1  Alessio Brancolini, Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy; a.brancolini@sns.it
2  Giuseppe Buttazzo, Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy; buttazzo@dm.unipi.it


(Received October 21, 2003.)

Abstract
In the framework of transport theory, we are interested in the following optimization problem: given the distributions $\mu^+$ of working people and $\mu^-$ 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 $\mu^+$ from $\mu^-$ 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


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