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An Improved Arithmetic Optimization Algorithm for Numerical Optimization Problems

Author

Listed:
  • Mengnan Chen

    (College of Artificial Intelligence, Guangxi University for Nationalities, Nanning 530006, China)

  • Yongquan Zhou

    (College of Artificial Intelligence, Guangxi University for Nationalities, Nanning 530006, China
    Guangxi Key Laboratories of Hybrid Computation and IC Design Analysis, Nanning 530006, China)

  • Qifang Luo

    (College of Artificial Intelligence, Guangxi University for Nationalities, Nanning 530006, China
    Guangxi Key Laboratories of Hybrid Computation and IC Design Analysis, Nanning 530006, China)

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.

Suggested Citation

  • Mengnan Chen & Yongquan Zhou & Qifang Luo, 2022. "An Improved Arithmetic Optimization Algorithm for Numerical Optimization Problems," Mathematics, MDPI, vol. 10(12), pages 1-27, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2152-:d:843495
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    References listed on IDEAS

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    1. Rafal Szczepanski & Marcin Kaminski & Tomasz Tarczewski, 2020. "Auto-Tuning Process of State Feedback Speed Controller Applied for Two-Mass System," Energies, MDPI, vol. 13(12), pages 1-16, June.
    2. Jeffrey O Agushaka & Absalom E Ezugwu, 2021. "Advanced arithmetic optimization algorithm for solving mechanical engineering design problems," PLOS ONE, Public Library of Science, vol. 16(8), pages 1-29, August.
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