### Optimal location problems with routing cost

Buttazzo, GM *(Università di Pisa)*

Friday 01 November 2013, 09:35-10:10

Seminar Room 1, Newton Institute

#### Abstract

Co-authors: Serena Guarino (University of Pisa (Italy)), Fabrizio Oliviero (University of Pisa (Italy))

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.

#### Presentation

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