Application of Heuristic and Metaheuristic Algorithms in Solving Constrained Weber Problem with Feasible Region Bounded by Arcs
URI (for links/citations):https://www.hindawi.com/journals/mpe/2017/8306732/
Stanimirovic, Predrag S.
Kazakovtsev, Lev A.
Институт управления бизнес-процессами и экономики
Кафедра экономики и информационных технологий менеджмента
Journal Name:Mathematical Problems in Engineering
Journal Quartile in Scopus:Q2
Journal Quartile in Web of Science:Q3
Bibliographic Citation:Stojanovic, Igor. Application of Heuristic and Metaheuristic Algorithms in Solving Constrained Weber Problem with Feasible Region Bounded by Arcs [Текст] / Igor Stojanovic, Ivona Brajevic, Predrag S. Stanimirovic, Lev A. Kazakovtsev, Zoran Zdravev // Mathematical Problems in Engineering. — 2017. — Т. 2017 (Article ID 8306732).
The continuous planar facility location problem with the connected region of feasible solutions bounded by arcs is a particular case of the constrained Weber problem. This problem is a continuous optimization problem which has a nonconvex feasible set of constraints. This paper suggests appropriate modifications of four metaheuristic algorithms which are defined with the aim of solving this type of nonconvex optimization problems. Also, a comparison of these algorithms to each other as well as to the heuristic algorithm is presented. The artificial bee colony algorithm, firefly algorithm, and their recently proposed improved versions for constrained optimization are appropriately modified and applied to the case study. The heuristic algorithm based on modified Weiszfeld procedure is also implemented for the purpose of comparison with the metaheuristic approaches. Obtained numerical results show that metaheuristic algorithms can be successfully applied to solve the instances of this problem of up to 500 constraints. Among these four algorithms, the improved version of artificial bee algorithm is the most efficient with respect to the quality of the solution, robustness, and the computational efficiency.