Optimal location problems with routing cost

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.

arXiv comment20 pages, 15 figures, to appear on Discrete Contin. Dyn. Syst