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Article | Open Access

An Improved Variant of Multi-Population Cooperative Constrained Multi-Objective Optimization (MCCMO) for Multi-Objective Optimization Problem

Muhammad Waqar Khan1( )Adnan Ahmed Siddiqui1Syed Sajjad Hussain Rizvi2
Faculty of Engineering Science and Technology, Hamdard University, Karachi, 74600, Pakistan
Faculty of Computing and Engineering Sciences, SZABIST University, Karachi, 74700, Pakistan
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Abstract

The multi-objective optimization problems, especially in constrained environments such as power distribution planning, demand robust strategies for discovering effective solutions. This work presents the improved variant of the Multi-population Cooperative Constrained Multi-Objective Optimization (MCCMO) Algorithm, termed Adaptive Diversity Preservation (ADP). This enhancement is primarily focused on the improvement of constraint handling strategies, local search integration, hybrid selection approaches, and adaptive parameter control. The improved variant was experimented on with the RWMOP50 power distribution system planning benchmark. As per the findings, the improved variant outperformed the original MCCMO across the eleven performance metrics, particularly in terms of convergence speed, constraint handling efficiency, and solution diversity. The results also establish that MCCMO-ADP consistently delivers substantial performance gains over the baseline MCCMO, demonstrating its effectiveness across performance metrics. The new variant also excels at maintaining the balanced trade-off between exploration and exploitation throughout the search process, making it especially suitable for complex optimization problems in multi-constrained power systems. These enhancements make MCCMO-ADP a valuable and promising candidate for handling problems such as renewable energy scheduling, logistics planning, and power system optimization. Future work will benchmark the MCCMO-ADP against widely recognized algorithms such as NSGA-II, NSGA-III, and MOEA/D and will also extend its validation to large-scale real-world optimization domains to further consolidate its generalizability.

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Computers, Materials & Continua
Pages 1-15

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Cite this article:
Khan MW, Siddiqui AA, Rizvi SSH. An Improved Variant of Multi-Population Cooperative Constrained Multi-Objective Optimization (MCCMO) for Multi-Objective Optimization Problem. Computers, Materials & Continua, 2026, 86(2): 1-15. https://doi.org/10.32604/cmc.2025.070858

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Received: 25 July 2025
Accepted: 06 October 2025
Published: 09 December 2025
© The Author 2025.

This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.