Application of heuristic and metaheuristic algorithms in solving constrained Weber problem with feasible region bounded by arcs

Stojanovic, Igor and Brajevic, Ivona and Stanimirovic, Predrag and Kazakovtsev, Lev and Zdravev, Zoran (2017) Application of heuristic and metaheuristic algorithms in solving constrained Weber problem with feasible region bounded by arcs. Mathematical Problems in Engineering, 2017. ISSN 1024-123X

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Official URL: https://www.hindawi.com/journals/mpe/2017/8306732/

Abstract

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.

Item Type: Article
Subjects: Natural sciences > Computer and information sciences
Engineering and Technology > Electrical engineering, electronic engineering, information engineering
Divisions: Faculty of Computer Science
Depositing User: Igor Stojanovik
Date Deposited: 09 Oct 2017 11:12
Last Modified: 09 Oct 2017 11:12
URI: http://eprints.ugd.edu.mk/id/eprint/18269

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