Optimal networks for mass transportation problems
ESAIM: Control, Optimisation and Calculus of Variations, Volume 11 (2005) no. 1, pp. 88-101.

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.

DOI: 10.1051/cocv:2004032
Classification: 49J45,  49Q10,  90B10
Keywords: optimal networks, mass transportation problems
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Brancolini, Alessio; Buttazzo, Giuseppe. Optimal networks for mass transportation problems. ESAIM: Control, Optimisation and Calculus of Variations, Volume 11 (2005) no. 1, pp. 88-101. doi : 10.1051/cocv:2004032. http://www.numdam.org/articles/10.1051/cocv:2004032/

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