E-dyNSGA-III: A Multi-Objective Algorithm for Handling Pareto Optimality over Time

• Published in: Mathematical problems in engineering 2022-06, Vol.2022, p.1-12
• Main Authors: Essiet, Ima Okon, Sun, Yanxia, Wang, Zenghui
• Format: Article
• Language: English
• Subjects: Euclidean geometry; Evolutionary algorithms; Function space; Genetic algorithms; Multiple objective analysis; Mutation; Objectives; Optimization; Pareto optimization; Pareto optimum; Population; Principal components analysis; Solution space; Sorting algorithms; Systems stability
• ISSN: 1024-123X; 1563-5147
• DOI: 10.1155/2022/4418706

Loss of selection pressure in the presence of many objectives is one of the pertinent problems in evolutionary optimization. Therefore, it is difficult for evolutionary algorithms to find the best-fitting candidate solutions for the final Pareto optimal front representing a multi-objective optimization problem, particularly when the solution space changes with time. In this study, we propose a multi-objective algorithm called enhanced dynamic non-dominated sorting genetic algorithm III (E-dyNSGA-III). This evolutionary algorithm is an improvement of the earlier proposed dyNSGA-III, which used principal component analysis and Euclidean distance to maintain selection pressure and integrity of the final Pareto optimal front. E-dyNSGA-III proposes a strategy to select a group of super-performing mutated candidates to improve the selection pressure at high dimensions and with changing time. This strategy is based on an earlier proposed approach on the use of mutated candidates, which are randomly chosen from the mutation and crossover stages of the original NSGA-II algorithm. In our proposed approach, these mutated candidates are used to improve the diversity of the solution space when the rate of change in the objective function space increases with respect to time. The improved algorithm is tested on RPOOT problems and a real-world hydrothermal model, and the results show that the approach is promising.