IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i12p2152-d843495.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/12/2152/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/12/2152/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Heping Fang & Xiaopeng Fu & Zhiyong Zeng & Kunhua Zhong & Shuguang Liu, 2022. "An Improved Arithmetic Optimization Algorithm and Its Application to Determine the Parameters of Support Vector Machine," Mathematics, MDPI, vol. 10(16), pages 1-20, August.
    2. Jaikumar Shanmuganathan & Aruldoss Albert Victoire & Gobu Balraj & Amalraj Victoire, 2022. "Deep Learning LSTM Recurrent Neural Network Model for Prediction of Electric Vehicle Charging Demand," Sustainability, MDPI, vol. 14(16), pages 1-28, August.
    3. Mahmoud Elsisi & Minh-Quang Tran & Hany M. Hasanien & Rania A. Turky & Fahad Albalawi & Sherif S. M. Ghoneim, 2021. "Robust Model Predictive Control Paradigm for Automatic Voltage Regulators against Uncertainty Based on Optimization Algorithms," Mathematics, MDPI, vol. 9(22), pages 1-19, November.
    4. Radoslaw Stanislawski & Jules-Raymond Tapamo & Marcin Kaminski, 2023. "Virtual Signal Calculation Using Radial Neural Model Applied in a State Controller of a Two-Mass System," Energies, MDPI, vol. 16(15), pages 1-23, July.
    5. Krzysztof Szabat & Tomasz Pajchrowski & Tomasz Tarczewski, 2021. "Modern Electrical Drives: Trends, Problems, and Challenges," Energies, MDPI, vol. 15(1), pages 1-4, December.
    6. Ahmed. H. A. Elkasem & Salah Kamel & Mohamed H. Hassan & Mohamed Khamies & Emad M. Ahmed, 2022. "An Eagle Strategy Arithmetic Optimization Algorithm for Frequency Stability Enhancement Considering High Renewable Power Penetration and Time-Varying Load," Mathematics, MDPI, vol. 10(6), pages 1-38, March.
    7. Qingxin Liu & Ni Li & Heming Jia & Qi Qi & Laith Abualigah & Yuxiang Liu, 2022. "A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems," Mathematics, MDPI, vol. 10(9), pages 1-30, May.
    8. Marcin KamiƄski & Krzysztof Szabat, 2021. "Adaptive Control Structure with Neural Data Processing Applied for Electrical Drive with Elastic Shaft," Energies, MDPI, vol. 14(12), pages 1-26, June.
    9. Mateusz Malarczyk & Mateusz Zychlewicz & Radoslaw Stanislawski & Marcin Kaminski, 2023. "Electric Drive with an Adaptive Controller and Wireless Communication System," Future Internet, MDPI, vol. 15(2), pages 1-20, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2152-:d:843495. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.