Locating a circle on a sphere

Locating a circle on a sphere

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Article ID: iaor20082196
Country: United States
Volume: 55
Issue: 4
Start Page Number: 782
End Page Number: 791
Publication Date: Jul 2007
Journal: Operations Research
Authors: , ,
Keywords: geometry
Abstract:

We consider the problem of locating a spherical circle with respect to existing facilities on a sphere, such that the sum of distances between the circle and the facilities is minimized or such that the maximum distance is minimized. The problem properties are analyzed, and we give solution procedures. When the circle to be located is restricted to be a great circle, some simplifications are possible. The models may be used in preliminary studies on the location of large linear facilities on the earth’s surface, such as superhighways, pipelines, and transmission lines, or in totally different contexts such as search-and-rescue missions and medical or biological studies.

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