A novel optimization method for solving constrained and unconstrained problems: modified Golden Sine Algorithm

Abstract

Recently, the metaheuristic optimization algorithms inspired by nature and different science branches havebeen powerful solution methods for unconstrained, constrained, and engineering problems. Various metaheuristicoptimization algorithms have been proposed and they have been applied to problems in different fields. This paperproposes a novel optimization method based on a modified version of the Golden Sine Algorithm for solving unconstrained,constrained, and engineering problems. The basic idea behind the proposed modified Golden Sine Algorithm (GoldSA-II)depends on finding the optimum solution field in search space by using the decreasing pattern of the sine function andthe golden ratio. The performance of the proposed GoldSA-II is evaluated using 19 unconstrained benchmark functions,five constrained optimization test problems, and five real engineering design problems. The results of the proposedGoldSA-II are compared with best-known optimization algorithms using some well-known criteria. The obtained resultsshow that the GoldSA-II converges more accurately to the global solution in many benchmark functions.