4.6 Article

Golden Search Optimization Algorithm

Journal

IEEE ACCESS
Volume 10, Issue -, Pages 37515-37532

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2022.3162853

Keywords

Optimization; Metaheuristics; Particle swarm optimization; Search problems; Heuristic algorithms; Genetic algorithms; Statistics; Global optimization; golden search; metaheuristic; population-based; benchmark function

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The Golden Search Optimization Algorithm (GSO) is an effective population-based optimization algorithm that uses random solutions and a simple mathematical model to reach global optimum. The algorithm utilizes a transfer operator for adaptive step size adjustment to balance explorative and exploitative behavior in the search.
This study introduces an effective population-based optimization algorithm, namely the Golden Search Optimization Algorithm (GSO), for numerical function optimization. The new algorithm has a simple but effective strategy for solving complex problems. GSO starts with random possible solutions called objects, which interact with each other based on a simple mathematical model to reach the global optimum. To provide a fine balance between the explorative and exploitative behavior of a search, the proposed method utilizes a transfer operator in the adaptive step size adjustment scheme. The proposed algorithm is benchmarked with 23 unimodal, multimodal, and fixed dimensional functions and the results are verified by a comparative study with the well-known Gravitational Search Algorithm (GSA), Sine-Cosine Algorithm (SCA), Grey Wolf Optimization (GWO), and Tunicate Swarm Algorithm (TSA). In addition, the nonparametric Wilcoxon's rank sum test is performed to measure the pair-wise statistical performance of the GSO and provide a valid judgment about the performance of the algorithm. The simulation results demonstrate that GSO is superior and could generate better optimal solutions when compared with other competitive algorithms.

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