| Article ID: | iaor20031347 |
| Country: | Japan |
| Volume: | 11 |
| Issue: | 1 |
| Start Page Number: | 1 |
| End Page Number: | 14 |
| Publication Date: | Mar 2001 |
| Journal: | Transactions of the Japan Society for Industrial and Applied Mathematics |
| Authors: | Suzuki Tsutomu, Ohyama Takashi |
| Keywords: | marketing, commerce, public service, geography & environment, urban affairs |
The purpose of this paper is to show tour-distance Voronoi diagrams which represent market areas of facilities under the assumption that consumers use more than one facility. Bisectors composing tour-distance Voronoi diagrams are generally curved lines, although those of higher-order Voronoi diagrams are composed of straight lines. It is observed that contiguous facilities have larger joint market areas than scattered facilities. Applying them to locational selection of competitive facilities, it is found out that locational concentration tends to be superior for facilities which maximize their market areas, if consumers make tours to move around from one facility to another.