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
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