Journal article
Locating an axis-parallel rectangle on a Manhattan plane
In this paper we consider the problem of locating an axis-parallel rectangle in the plane such that the sum of distances between the rectangle and a finite point set is minimized, where the distance is measured by the Manhattan norm 1. In this way we solve an extension of the Weber problem to extensive facility location.
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Language: | English |
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Publisher: | Springer Berlin Heidelberg |
Year: | 2014 |
Pages: | 185-207 |
Journal subtitle: | An Official Journal of the Spanish Society of Statistics and Operations Research |
ISSN: | 18638279 and 11345764 |
Types: | Journal article |
DOI: | 10.1007/s11750-012-0248-6 |
Business and Economics Dimensional facility Economics / Management Science Game Theory/Mathematical Methods Industrial and Production Engineering Minisum Operations Research/Decision Theory Optimization Polyhedral norms Statistics for Business/Economics/Mathematical Finance/Insurance Weber problem