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

Author

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  • 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
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    Citations

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    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.

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