*Published Paper*

**Inserted:** 28 oct 2003

**Last Updated:** 23 sep 2015

**Journal:** ESAIM Control Optim. Calc. Var.

**Volume:** 11

**Number:** 1

**Pages:** 88-101

**Year:** 2005

**Doi:** 10.1051/cocv:2004032

**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.

**Keywords:**
Optimal Networks, Mass Transportation Problems

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