Evolutionary algorithm

Engineering optimization

Metaheuristic

Algorithm

Demography

Engineering

Pure mathematics

Multi-swarm optimization

Field (mathematics)

Constraint (computer-aided design)

Particle swarm optimization

Computer science

Mathematical optimization

Management science

Evolutionary computation

Mathematics

Population

Sociology

Geometry

Continuous optimization

Optimization problem

Machine learning

Multi-objective optimization

Archives of Computational Methods in Engineering

Most real-world problems involve some type of optimization problems that are often constrained. Numerous researchers have investigated several techniques to deal with constrained single-objective and multi-objective evolutionary optimization in many fields, including theory and application. This presented study provides a novel analysis of scholarly literature on constraint-handling techniques for single-objective and multi-objective population-based algorithms according to the most relevant journals and articles. As a contribution to this study, the paper reviews the main ideas of the most state-of-the-art constraint handling techniques in population-based optimization, and then the study addresses the bibliometric analysis, with a focus on multi-objective, in the field. The extracted papers include research articles, reviews, book/book chapters, and conference papers published between 2000 and 2021 for analysis. The results indicate that the constraint-handling techniques for multi-objective optimization have received much less attention compared with single-objective optimization. The most promising algorithms for such optimization were determined to be genetic algorithms, differential evolutionary algorithms, and particle swarm intelligence. Additionally, “Engineering,” “Computer Science,” and “ Mathematics” were identified as the top three research fields in which future research work is anticipated to increase.

A Review on Constraint Handling Techniques for Population-based Algorithms: from single-objective to multi-objective optimization