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arxiv: 1306.6070 · v1 · pith:I47HYPT2new · submitted 2013-06-25 · 🧮 math.OC

Optimal location problems with routing cost

classification 🧮 math.OC
keywords locationcostgivenconsideredproblemproblemsresourcesrouting
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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.

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