Buttazzo, Giuseppe and Bianco, Serena Guarino Lo and Oliviero, Fabrizio (2013) *Optimal location problems with routing cost.* Discrete and continuous dynamical systems . ISSN 1078-0947 (Submitted)

Official URL: http://arxiv.org/abs/1306.6070v1

## Abstract

SUMMARY 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.

Item Type: | Article |
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Additional Information: | Imported from arXiv |

Subjects: | Area01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |

Divisions: | Dipartimenti (from 2013) > DIPARTIMENTO DI MATEMATICA |

Depositing User: | dott.ssa Sandra Faita |

Date Deposited: | 05 Aug 2013 12:48 |

Last Modified: | 05 Aug 2013 12:48 |

URI: | http://eprints.adm.unipi.it/id/eprint/1343 |

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