This study proposes an algorithm designed to address Constrained Multi-Objective Optimization Problems (CMOPs) within the framework of Multi-Objective Particle Swarm Optimization (MOPSO). The method integrates a decomposition strategy with specialized mechanisms for constraint management. A central component of the approach is an adaptive penalty function, derived from the annealing penalty method, yet reformulated to induce a linear interaction between feasible and infeasible solutions during the search process. As a result of this integration, the capabilities of the dMOPSO algorithm are significantly extended, yielding a novel variant referred to as CdMOPSO-Annealing Penalty (CdMOPSO-AP). The proposed method was rigorously assessed using the CF benchmark suite from the CEC’2009 competition. Comparative analyses, based on convergence and diversity performance indicators, demonstrate that CdMOPSO-AP exhibits competitive efficiency, frequently surpassing four state-of-the-art algorithms considered in the evaluation.

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A Multi-objective Decomposition-Based MOPSO with Dynamic Adaptive Penalization for CMOPs

  • Néstor A. García-Rojas,
  • Miguel A. Jiménez-Domínguez,
  • Saúl Zapotecas-Martínez,
  • Raquel Díaz-Hernández,
  • Leopoldo Altamirano-Robles,
  • Bilel Derbel

摘要

This study proposes an algorithm designed to address Constrained Multi-Objective Optimization Problems (CMOPs) within the framework of Multi-Objective Particle Swarm Optimization (MOPSO). The method integrates a decomposition strategy with specialized mechanisms for constraint management. A central component of the approach is an adaptive penalty function, derived from the annealing penalty method, yet reformulated to induce a linear interaction between feasible and infeasible solutions during the search process. As a result of this integration, the capabilities of the dMOPSO algorithm are significantly extended, yielding a novel variant referred to as CdMOPSO-Annealing Penalty (CdMOPSO-AP). The proposed method was rigorously assessed using the CF benchmark suite from the CEC’2009 competition. Comparative analyses, based on convergence and diversity performance indicators, demonstrate that CdMOPSO-AP exhibits competitive efficiency, frequently surpassing four state-of-the-art algorithms considered in the evaluation.