International Journal of Nonlinear Analysis and Applications
The semi-obnoxious minisum circle location problem with Euclidean norm
Document Type : Research Paper
Authors
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
Abstract
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.
Keywords
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Volume 12, Issue 1
May 2021Pages 669-678
- Receive Date: 13 April 2019
- Revise Date: 28 October 2019
- Accept Date: 17 November 2020
- First Publish Date: 16 February 2021