On the logit approach to competitive facility location

被引:36
作者
Drezner, Z [1 ]
Wesolowsky, GO
Drezner, T
机构
[1] Calif State Univ Fullerton, Dept Management Sci Informat Syst, Fullerton, CA 92834 USA
[2] McMaster Univ, Fac Business, Hamilton, ON L8S 4M4, Canada
[3] Calif State Univ Fullerton, Dept Mkt, Fullerton, CA 92834 USA
关键词
D O I
10.1111/1467-9787.00094
中图分类号
F [经济];
学科分类号
02 ;
摘要
The random utility model in competitive facility location is one approach for estimating the market share captured by a retail facility in a competitive environment. However, it requires extensive computational effort for finding the optimal location for a new facility because its objective function is based on a h-dimensional integral. In this paper we show that the random utility model can be approximated by a logit model. The proportion of the buying power at a demand point that is attracted to the new facility can be approximated by a logit function of the distance to it. This approximation demonstrates that using the logit function of the distance for estimating the market share is theoretically founded in the random utility model. A simplified random utility model is defined and approximated by a logit function. An iterative Weiszfeld-type algorithm is designed to find the best location for a new facility using the logit model. Computational experiments show that the logit approximation yields a good location solution to the random utility model.
引用
收藏
页码:313 / 327
页数:15
相关论文
共 30 条