Hybrid Whale and Genetic Algorithms with Fuzzy Values to Solve the Location Problem

Abstract

In this paper, a facility location model with fuzzy values parameters based on the hybrid meta-heuristic method is investigated. The proposed model uses fuzzy values to solve the installation problem. Problem hypotheses are considered fuzzy random variables, and the capacity of each facility is unlimited. This paper combines a modern nature-inspired procedure called the Whale Algorithm (WA) with genetic methods. WA and Genetic Algorithm (GA) have been tested with scientific optimization problems and modeling problems. To evaluate the performance of the proposed methods, we apply the methods to our spatial models in which fuzzy coefficients are used. The results of numerical optimization show that the proposed combined method performs better than conventional methods.