In the paper a model problem for the location of a given number N of points in a given region Ω and with a given resources density ρ(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→∞ is characterized and some applications to airfreight systems are shown.
@article{arxiv.1306.6070,
title = {Optimal location problems with routing cost},
author = {Giuseppe Buttazzo and Serena Guarino Lo Bianco and Fabrizio Oliviero},
journal= {arXiv preprint arXiv:1306.6070},
year = {2013}
}
Comments
20 pages, 15 figures, to appear on Discrete Contin. Dyn. Syst