An Improved Arithmetic Optimization Algorithm for Numerical Optimization Problems

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 cont...

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Published inMathematics (Basel) Vol. 10; no. 12; p. 2152
Main Authors Chen, Mengnan, Zhou, Yongquan, Luo, Qifang
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2022
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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.
AbstractList 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.
Author Chen, Mengnan
Zhou, Yongquan
Luo, Qifang
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  surname: Zhou
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  fullname: Luo, Qifang
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Snippet The arithmetic optimization algorithm is a recently proposed metaheuristic algorithm. In this paper, an improved arithmetic optimization algorithm (IAOA) based...
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SubjectTerms Accuracy
Algorithms
Arithmetic
arithmetic optimization algorithm
Convergence
Engineering
Food science
Heuristic methods
metaheuristic
Methods
Multiplication & division
Nonlinear equations
Nonlinear systems
numerical integrals
Optimization
Optimization algorithms
Population
Population control
population control strategy
Robustness (mathematics)
Systems analysis
systems of nonlinear equations
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Title An Improved Arithmetic Optimization Algorithm for Numerical Optimization Problems
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https://doaj.org/article/eb25457ffbe544e99d4293951aa980c7
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