Asymptotic optimal location of facilities in a competition between population and industries

作者：Buttazzo Giuseppe^*; Santambrogio Filippo; Stepanov Eugene

来源：Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2013, 12(1): 239-273.

We consider the problem of optimally locating a given number k of points in R-n for an integral cost function which takes into account two measures phi(+) and phi(-). The points represent for example new industrial facilities that have to be located, the measure phi(+) representing in this case already existing industries that want to be close to the new ones, and phi(-) representing private citizens who want to stay far away. The asymptotic analysis as k -%26gt; infinity is performed, providing the asymptotic density of optimal locations.

• 出版日期2013