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Dual-Population Cooperative Correlation Evolutionary Algorithm for Constrained Multi-Objective Optimization

Author

Listed:
  • Junming Chen

    (Faculty of Humanities and Arts, Macau University of Science and Technology, Macao 999078, China)

  • Yanxiu Wang

    (Faculty of Humanities and Arts, Macau University of Science and Technology, Macao 999078, China)

  • Zichun Shao

    (Faculty of Humanities and Arts, Macau University of Science and Technology, Macao 999078, China)

  • Hui Zeng

    (School of Design, Jiangnan University, Wuxi 214122, China)

  • Siyuan Zhao

    (Faculty of Humanities and Arts, Macau University of Science and Technology, Macao 999078, China)

Abstract

When addressing constrained multi-objective optimization problems (CMOPs), the key challenge lies in achieving a balance between the objective functions and the constraint conditions. However, existing evolutionary algorithms exhibit certain limitations when tackling CMOPs with complex feasible regions. To address this issue, this paper proposes a constrained multi-objective evolutionary algorithm based on a dual-population cooperative correlation (CMOEA-DCC). Under the CMOEA-DDC framework, the system maintains two independently evolving populations: the driving population and the conventional population. These two populations share information through a collaborative interaction mechanism, where the driving population focuses on objective optimization, while the conventional population balances both objectives and constraints. To further enhance the performance of the algorithm, a shift-based density estimation (SDE) method is introduced to maintain the diversity of solutions in the driving population, while a multi-criteria evaluation metric is adopted to improve the feasibility quality of solutions in the normal population. CMOEA-DDC was compared with seven representative constrained multi-objective evolutionary algorithms (CMOEAs) across various test problems and real-world application scenarios. Through an in-depth analysis of a series of experimental results, it can be concluded that CMOEA-DDC significantly outperforms the other competing algorithms in terms of performance.

Suggested Citation

  • Junming Chen & Yanxiu Wang & Zichun Shao & Hui Zeng & Siyuan Zhao, 2025. "Dual-Population Cooperative Correlation Evolutionary Algorithm for Constrained Multi-Objective Optimization," Mathematics, MDPI, vol. 13(9), pages 1-22, April.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:9:p:1441-:d:1644453
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    References listed on IDEAS

    as
    1. Hao, Lupeng & Peng, Weihang & Liu, Junhua & Zhang, Wei & Li, Yuan & Qin, Kaixuan, 2025. "Competition-based two-stage evolutionary algorithm for constrained multi-objective optimization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 230(C), pages 207-226.
    2. Junming Chen & Kai Zhang & Hui Zeng & Jin Yan & Jin Dai & Zhidong Dai, 2024. "Adaptive Constraint Relaxation-Based Evolutionary Algorithm for Constrained Multi-Objective Optimization," Mathematics, MDPI, vol. 12(19), pages 1-24, September.
    3. Yuling Lai & Junming Chen & Yile Chen & Hui Zeng & Jialin Cai, 2025. "Feedback Tracking Constraint Relaxation Algorithm for Constrained Multi-Objective Optimization," Mathematics, MDPI, vol. 13(4), pages 1-22, February.
    Full references (including those not matched with items on IDEAS)

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