Mehrane Gholami - Faculty of Mathematical Sciences, Shahrood University of Technology University Blvd., Shahrood, Iran
Jafar Fathali - Faculty of Mathematical Sciences, Shahrood University of Technology University Blvd., Shahrood, Iran

The objective of the classical version of the minisum circle location problem is finding a circle C in the plane such that the sum of the weighted distances from the circumference of C to a set of given points is minimized, where every point has a positive weight. In this paper, we investigate the semiobnoxious case, where every existing facility has either a positive or negative weight. Then some properties of thesemi-obnoxious minisum circle location problem with Euclidean norm are discussed

Facility Location Problem; Minisum circle location; Semiobnoxious facility