Weber problems with alternative transportation systems

✍ Scribed by Emilio Carrizosa; Antonio M. Rodríguez-Chía

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 570 KB
• Volume: 97
• Category: Article
• ISSN: 0377-2217
• DOI: 10.1016/s0377-2217(96)00066-5

✦ Synopsis

In this paper we address a planar p-facility location problem where, together with a metric induced by a gauge, there exists a series of rapid transit lines, which can be used as altemative transportation system to reduce the total transportation tost. The location problem is reduced to solving a finite number of (multi)-Weber problems, from which localization results are obtained. In particular, it is shown that, if the gauge in use is polyhedral, then the problem is reduced to fïnding a p-median.