Title
A Probabilistic Minimax Location Problem on the Plane
Abstract
In this paper we consider the weighted minimax (1-center) location problem in the plane when the weights are not given but rather drawn from independent uniform distributions. The problem is formulated and analyzed. For certain parameters of the uniform distributions the objective function is proven to be convex and thus can be easily solved by standard software such as the Solver in Excel. Computational experience is reported.
Year
DOI
Venue
2003
10.1023/A:1026134121255
Annals OR
Keywords
Field
DocType
minimax facility location,probabilistic facility location,planar location
Mathematical optimization,Minimax,Regular polygon,Facility location problem,Software,Probabilistic logic,Solver,1-center problem,Mathematics
Journal
Volume
Issue
ISSN
122
1-4
1572-9338
Citations 
PageRank 
References 
13
1.73
5
Authors
4
Name
Order
Citations
PageRank
O. Berman11604231.36
Jiamin Wang2475.91
Zvi Drezner31195140.69
George O. Wesolowsky422721.32