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An Improved Arithmetic Optimization Algorithm for Numerical Optimization Problems

Mengnan Chen, Yongquan Zhou, Qifang Luo

2022Mathematics17 citationsDOIOpen Access PDF

Abstract

The arithmetic optimization algorithm is a recently proposed metaheuristic algorithm. In this paper, an improved arithmetic optimization algorithm (IAOA) based on the population control strategy is introduced to solve numerical optimization problems. By classifying the population and adaptively controlling the number of individuals in the subpopulation, the information of each individual can be used effectively, which speeds up the algorithm to find the optimal value, avoids falling into local optimum, and improves the accuracy of the solution. The performance of the proposed IAOA algorithm is evaluated on six systems of nonlinear equations, ten integrations, and engineering problems. The results show that the proposed algorithm outperforms other algorithms in terms of convergence speed, convergence accuracy, stability, and robustness.

Topics & Concepts

Robustness (evolution)Mathematical optimizationConvergence (economics)MetaheuristicStability (learning theory)AlgorithmOptimization problemPopulationNonlinear systemMeta-optimizationMathematicsOptimization algorithmComputer scienceEconomicsPhysicsDemographyGeneMachine learningSociologyChemistryBiochemistryQuantum mechanicsEconomic growthMetaheuristic Optimization Algorithms ResearchAdvanced Multi-Objective Optimization AlgorithmsEvolutionary Algorithms and Applications