Table 1 Some popular multi-objective algorithms.
Author | Variants | Improvement strategy | Field of application | Year |
|---|---|---|---|---|
Deb et al.29 | NSGA-II | 1. A fast non-dominated sorting approach 2. Propose a selection operator | Solve constrained multi-objective problems | 2002 |
Coello et al.31 | MOPSO | 1. Propose pareto dominance strategy 2. Propose special mutation operator | Multi-objective optimization problems | 2004 |
Zhang et al.30 | MOEA/D | 1. Decomposition strategy Weight vector method | Multi-objective 0–1 knapsack problem and optimization problem | 2007 |
Akbari et al.32 | MOABC | 1. Propose a grid-based approach 2. Propose a fixed size archive strategy | Multi-objective optimization problems | 2012 |
Mirjalili et al.24 | MOGWO | 1. A fixed-sized external archive 2. A leader selection mechanism | Challenging multi-objective test problems | 2016 |
Mirjalili et al.33 | MOALO | 1. Employ a repository method 2. Using a roulette wheel mechanism | Multi-objective engineering design problems | 2017 |
Yapici et al.34 | MOPFA | 1. Leader mechanism 2. New location update rule | Real engineering applications | 2019 |
Yi et al. 35 | NSGA-III | 1. Introducing the concept of Stud 2. Design several improved crossover operators of SBX, UC, and SI | Large-scale optimization problems | 2020 |
Premkumar et al. 36 | MOSMA | 1. Using the positive–negative feedback system 2. Elitist non-dominated sorting approach | real-world engineering design problems | 2021 |
Deng et al. 37 | ASDNSGA-II | 1. Propose a special congestion strategy 2. Introducing adaptive crossover strategy | Multi-objective optimization problems | 2022 |
Ganesh et al. 38 | MOSOS/D | 1. Introducing a decomposition framework | large complex multi-objective problems | 2023 |
He et al. 39 | MOWSO | 1. Propose a random selection strategy 2. Active update of soldier position | Microgrid and Power dispatch | 2024 |
Jiang et al. 40 | MOBCA | 1. Propose the grid mechanism, archiving mechanism, and leader selection mechanism | Multi-objective optimization | 2024 |
Sahoo et al. 41 | MnMOMFO | 1. Introducing arithmetic and geometric mean strategies 2. Using NDS and CD strategies | Real-world engineering problems | 2024 |
Pandya et al. 42 | MOGMO | 1. Propose an elite non-dominated sorting approach 2. A Crowding Distance coupled with an Information Feedback Mechanism selection strategy | Multi-objective engineering design challenges | 2024 |
Deng et al. 43 | MOQEA/D | 1. Design a new decomposition mechanism 2. Propose a new optimal crossover strategy | Multi-objective knapsack problem and the multi-objective GAP | 2024 |
