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A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering

Yiwei Liu1,2,3, Yinggan Tang4,5,6, Changchun Hua4,5,6

  • 1School of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, Hebei, China. lywei@stumail.ysu.edu.cn.

Scientific Reports
|July 27, 2025
PubMed
Summary
This summary is machine-generated.

The Chaotic Differential Arithmetic Optimization Algorithm (CDAOA) enhances optimization by improving population diversity and exploration. This novel approach significantly outperforms existing methods in speed and solution quality for complex problems.

Keywords:
Arithmetic optimization algorithmCauchy perturbationChaotic mappingDifferential evolutionEngineering applicationLévy flight

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Area of Science:

  • Computational Intelligence
  • Optimization Algorithms
  • Metaheuristics

Background:

  • The Arithmetic Optimization Algorithm (AOA) faces challenges with premature convergence and scalability in high-dimensional optimization tasks.
  • Existing algorithms often struggle to balance exploration and exploitation effectively.

Purpose of the Study:

  • To develop an advanced optimization algorithm, the Chaotic Differential Arithmetic Optimization Algorithm (CDAOA), to overcome the limitations of the standard AOA.
  • To enhance both the exploration and exploitation capabilities of the AOA for improved performance.

Main Methods:

  • Integration of an improved Tent chaotic map for diverse initial population generation.
  • Incorporation of Cauchy perturbation to boost exploration efficiency.
  • Application of differential evolution with Lévy flight for robust exploitation.

Main Results:

  • CDAOA demonstrated superior performance across 16 classical functions, CEC 2019/2021 test suites, and five real-world engineering problems.
  • The proposed algorithm exhibited faster convergence speeds compared to AOA and other state-of-the-art methods.
  • CDAOA achieved higher solution quality, indicating more effective optimization.

Conclusions:

  • The Chaotic Differential Arithmetic Optimization Algorithm (CDAOA) effectively addresses the premature convergence and scalability issues of the AOA.
  • CDAOA offers a significant advancement in optimization techniques, providing improved performance for complex computational and engineering challenges.