%0 Journal Article
%T The semi-obnoxious minisum circle location problem with Euclidean norm
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Gholami, Mehraneh
%A Fathali, Jafar
%D 2021
%\ 02/01/2021
%V 12
%N 1
%P 669-678
%! The semi-obnoxious minisum circle location problem with Euclidean norm
%K Minisum circle location
%K nonlinear programming
%K Semi-obnoxious facility
%K Cuckoo optimization algorithm
%R 10.22075/ijnaa.2021.4869
%X 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 semi-obnoxious case, where every existing facility has either a positive or negative weight. The distances are measured by the Euclidean norm. Therefore, the problem has a nonlinear objective function and global nonlinear optimization methods are required to solve this problem. Some properties of the semi-obnoxious minisum circle location problem with Euclidean norm are discussed. Then a cuckoo optimization algorithm is presented for finding the solution of this problem.
%U https://ijnaa.semnan.ac.ir/article_4869_42ebf726b5dc93e5d0a99ef7b8525b66.pdf