IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v197y2022icp207-252.html
   My bibliography  Save this article

An enhanced chimp optimization algorithm for optimal degree reduction of Said–Ball curves

Author

Listed:
  • Hu, Gang
  • Dou, Wanting
  • Wang, Xiaofeng
  • Abbas, Muhammad

Abstract

Because of its good geometric characteristics, Said–Ball curve has become a useful tool for shape design and geometric representation in product manufacturing. In this paper, an enhanced chimp optimization algorithm (CHOA, for short) is used to solve the problem of approximate multi-degree reduction of Said–Ball curve. Firstly, two strategies are used to improve the optimization performance of original CHOA, and an enhanced version of CHOA named SOCSCHOA combined with selective opposition and cuckoo search is presented. Furthermore, according to the idea of multi-degree reduction of Said–Ball curve, the problem of multi-degree reduction of Said–Ball curve is transformed into an optimization problem, and the presented SOCSCHOA is applied to the solutions of the optimization model of the problem. Finally, the approximate multi-degree reductions of Said–Ball curve with and without endpoint preserving interpolation are realized, and the errors of the degree reduction are also given, which is compared with the availability of degree reduction of other intelligent algorithms. Numerical examples provided show that the proposed method not only achieves a good effect of degree reduction, but also is easy to implement with high accuracy.

Suggested Citation

  • Hu, Gang & Dou, Wanting & Wang, Xiaofeng & Abbas, Muhammad, 2022. "An enhanced chimp optimization algorithm for optimal degree reduction of Said–Ball curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 207-252.
    • Handle: RePEc:eee:matcom:v:197:y:2022:i:c:p:207-252
    DOI: 10.1016/j.matcom.2022.01.018
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475422000313
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2022.01.018?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gang Hu & Jiao Wang & Min Li & Abdelazim G. Hussien & Muhammad Abbas, 2023. "EJS: Multi-Strategy Enhanced Jellyfish Search Algorithm for Engineering Applications," Mathematics, MDPI, vol. 11(4), pages 1-32, February.
    2. Jianwei Yang & Zhen Liu & Xin Zhang & Gang Hu, 2022. "Elite Chaotic Manta Ray Algorithm Integrated with Chaotic Initialization and Opposition-Based Learning," Mathematics, MDPI, vol. 10(16), pages 1-34, August.
    3. Hu, Gang & Du, Bo & Li, Huinan & Wang, Xupeng, 2022. "Quadratic interpolation boosted black widow spider-inspired optimization algorithm with wavelet mutation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 428-467.
    4. Yan Liang & Xianzhi Hu & Gang Hu & Wanting Dou, 2022. "An Enhanced Northern Goshawk Optimization Algorithm and Its Application in Practical Optimization Problems," Mathematics, MDPI, vol. 10(22), pages 1-33, November.
    5. Liqiong Huang & Yuanyuan Wang & Yuxuan Guo & Gang Hu, 2022. "An Improved Reptile Search Algorithm Based on Lévy Flight and Interactive Crossover Strategy to Engineering Application," Mathematics, MDPI, vol. 10(13), pages 1-39, July.
    6. Hu, Gang & Yang, Rui & Wei, Guo, 2023. "Hybrid chameleon swarm algorithm with multi-strategy: A case study of degree reduction for disk Wang–Ball curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 709-769.
    7. Liying Wang & Luyao Zhang & Weiguo Zhao & Xiyuan Liu, 2022. "Parameter Identification of a Governing System in a Pumped Storage Unit Based on an Improved Artificial Hummingbird Algorithm," Energies, MDPI, vol. 15(19), pages 1-23, September.

    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:eee:matcom:v:197:y:2022:i:c:p:207-252. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.