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Steiner's problem and fagnano's result on the sphere
Authors:Daniel W. Litwhiler  Adel A. Aly
Affiliation:(1) United States Air Force Academy, Colorado Springs, CO, USA;(2) University of Oklahoma, Norman, OK, USA
Abstract:This note describes the nature of optimal solutions for the spherical Steiner-Weber location problem for the case of unit weights and either 3 or 4 demand points (requireing 4 demand points to lie in an open hemisphere). Geometrically appealing results which are necessary conditions for optimum solutions and spherical analogs of known planar results are obtained.
Keywords:Facility Location  Steiner's Problem  Location on the Sphere
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