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D2MOPSO: MOPSO based on decomposition and dominance with archiving using crowding distance in objective and solution
N Al Moubayed1, A Petrovski, J McCall
1Robert Gordon University, Aberdeen, AB25 1HG, UK n.al-moubayed@rgu.ac.uk.
This study enhances a multi-objective particle swarm optimizer (D2MOPSO) using dominance and decomposition for better diversity and coverage. The improved algorithm demonstrates high competitiveness and efficiency across various multi-objective optimization problems.
Area of Science:
- Computational Intelligence
- Optimization Algorithms
- Evolutionary Computation
Background:
- Multi-objective optimization problems (MOPs) present challenges in balancing competing objectives.
- Decomposition simplifies MOPs by breaking them into smaller aggregation problems.
- Dominance is crucial for managing archives in multi-objective optimization.
Purpose of the Study:
- To improve the D2MOPSO algorithm by refining its archiving technique.
- To enhance diversity and coverage in both objective and solution spaces.
- To evaluate the improved D2MOPSO's performance on standard MOP benchmarks.
Main Methods:
- The study improves the D2MOPSO algorithm, integrating dominance and decomposition.
- A novel archiving technique is introduced to enhance solution quality and distribution.
- Performance is assessed using constrained and unconstrained benchmark test problems.
Main Results:
- The improved D2MOPSO shows superior or competitive performance compared to MOEA/D, OMOPSO, and dMOPSO.
- Statistical tests confirm the algorithm's effectiveness and efficiency.
- The method achieves better diversity and coverage in objective and solution spaces.
Conclusions:
- The enhanced D2MOPSO algorithm is highly competitive and efficient for multi-objective optimization.
- The proposed improvements lead to better performance on a wide range of MOPs.
- The algorithm is applicable to both constrained and unconstrained optimization tasks.
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