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LOCATING A NOXIOUS FACILITY WITH RESPECT TO SEVERAL POLYGONAL REGIONS USING ASYMMETRIC DISTANCES

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Facility Location and Emergency Management Computational Geometry and Mesh Generation Optimization and Mathematical Programming

Abstract

This paper presents an interactive computer graphical method for locating a noxious facility that has nuisance costs which vary with the direction as well as with the distance from the facility. The objective is to minimize the maximum cost incurred within several polygonal, possibly non-convex, regions. The directionally dependent cost functions are based on the asymmetric distance functions of Drezner and Wesolowsky. The maximin location problem with rectilinear, Euclidean, or ℓp-distances can be formulated as a special case of this minimax problem.

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2021Effects of Nuclear Weapons 1977The Effects of Nuclear Weapons. Third edition 1999Transportation Science 1980A Maxmin Location Problem 1980A Maximin Location Problem with Maximum Distance Constraints 1983THE LOCATION OF AN OBNOXIOUS FACILITY WITH RECTANGULAR DISTANCES*1980Interactive Computer Graphical Solutions of Constrained Minimax Location Problems 1985LOCATING AN UNDESIRABLE FACILITY WITHIN A GEOGRAPHICAL REGION USING THE MAXIMIN CRITERION*

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