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A Comparative Study of NSGA-III & MOEA/D-DRA on MW3 Benchmark Problem

  • Syed Ibtaihaj Ul HassanDepartment of Robotics and Artificial Intelligence, SZABIST University, Karachi
  • Sheikh Muhammad TahaDepartment of Robotics and Artificial Intelligence, SZABIST University Karachi, Pakistan
  • Syed Muhammad NaeemDepartment of Robotics and Artificial Intelligence, SZABIST University Karachi, Pakistan
  • Muhammad Wajahat AliCollege of Computer Science and Information Systems, IoBM, Karachi, Pakistan

DOI:

https://doi.org/10.63094/AITUSRJ.25.4.2.5

Keywords:

NSGA-III, MOEA/DDRA, MW3, Many-objective Optimization, PlatEMO

Abstract

This study explores and compares the performance of two evolutionary algorithms—NSGA-III and MOEA/D-DRA—on the MW3 benchmark problem using the PlatEMO framework. The MW3 challenge simulates a real-world scenario involving multi- objective decision-making, common in engineering design and supply chain optimization. This instance is many-objective in nature. For evaluation, a wide variety of metrics such as Generational Distance (GD), Inverted Generational Distance (IGD), Hypervolume (HV), Spread, Spacing, Runtime, Closest Point to Pareto Front (CPF), Distance Mean (DM), DeltaP , and Proximity-based IGD (IGDp) along with Pareto Diversity (PD) are used. Based on these metrics, it was found that NSGAIII demonstrates superior feasibility rates and spacing consistency alongside other notable advantages.

References

K. Deb and H. Jain, “An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach,” IEEE Transactions on Evolutionary Computation, vol. 18, no. 4, pp. 577–601, 2014.

Q. Zhang and H. Li, “MOEA/D: A multiobjective evolutionary algorithm based on decomposition,” IEEE Transactions on Evolutionary Computation, vol. 11, no. 6, pp. 712–731, 2007.

H. Wang, L. Jiao, and X. Zhang, “A new decomposition-based evolutionary algorithm for many-objective optimization,” IEEE Transactions on Evolutionary Computation, vol. 19, no. 2, pp. 215– 232, 2015.

Y. Tian, R. Cheng, X. Zhang, and Y. Jin, “PlatEMO: A MATLAB platform for evolutionary multi-objective optimization,” IEEE Computational Intelligence Magazine, vol. 12, no. 4, pp. 73–87, 2017.

Y. Tian, W. Zhu, X. Zhang, and Y. Jin, “A practical tutorial on solving optimization problems via PlatEMO,” Neurocomputing, vol. 518, pp. 190–205, 2023.

Article Link:

https://ojs.aitusrj.org/files/article/view/62

American International Theism University is a  Religious institution that meets the requirements found in Section 1005.06(1)(f), Florida Statutes and Rule 6E-5.001, Florida Administrative Code are not under the jurisdiction or purview of the Commission for Independent Education and are not required to obtain licensure.

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