A probabilistic minimax location problem on the plane

被引:39
作者
Berman, O
Wang, JM
Drezner, Z
Wesolowsky, GO
机构
[1] Univ Toronto, Joseph L Rotman Sch Management, Toronto, ON M5S 3E6, Canada
[2] Calif State Univ Fullerton, Coll Business & Econ, Fullerton, CA 92834 USA
[3] McMaster Univ, Fac Business, Hamilton, ON L8S 4M4, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
minimax facility location; probabilistic facility location; planar location;
D O I
10.1023/A:1026134121255
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 [运筹学与控制论]; 12 [管理学]; 1201 [管理科学与工程]; 1202 [工商管理学]; 120202 [企业管理];
摘要
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.
引用
收藏
页码:59 / 70
页数:12
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