*Accepted Paper*

**Inserted:** 25 jun 2013

**Last Updated:** 25 jun 2013

**Journal:** Discrete Contin. Dyn. Syst.

**Year:** 2013

**Notes:**

2010 Mathematics Subject Classification: 49Q10, 49Q20, 90B80, 90B85

**Abstract:**

In the paper a model problem for the location of a given number $N$ of points in a given region $\Omega$ and with a given resources density $\rho(x)$ is considered. The main difference between the usual location problems and the present one is that in addition to the location cost an extra {\it routing cost} is considered, that takes into account the fact that the resources have to travel between the locations on a point-to-point basis. The limit problem as $N\to\infty$ is characterized and some applications to airfreight systems are shown.

**Keywords:**
Gamma-convergence, transport problems, location problems, routing costs

**Download:**