A 1-center problem on the plane with uniformly distributed demand points

Authors:
Abdelaziz Foul
Affiliations:
King Saud University, College of Science, Department of Statistics and Operations Research, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Venue:
Operations Research Letters
Year:
2006

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Abstract

Center problems or minimax facility location problems are among the most active research areas in location theory. In this paper, we find the best unique location for a facility in the plane such that the maximum expected weighted distance to all random demand points is minimized.