@article{ 2_17186, author = {Jack Brimberg and Henrik Juel and Anita Schoebel}, title = {Locating a minisum circle in the plane}, year = {2009}, abstract = {We consider the problem of locating a circle with respect to existing facilities in the plane such that the sum of weighted distances between the circle and the facilities is minimized, i.e., we approximate a set of given points by a circle regarding the sum of weighted distances. If the radius of the circle is a variable we show that there always exists an optimal circle passing through two of the existing facilities. For the case of a fixed radius we provide characterizations of optimal circles in special cases. Solution procedures are suggested. (C) 2008 Elsevier B.V. All rights reserved.}, doi = {10.1016/j.dam.2008.03.017}, }