On the use of Gradient-Based Repair Method for Solving Constrained Multiobjective Optimization Problems—A Comparative Study

Constrained multiobjective optimization problems (CMOPs) are widespread in reality. The presence of constraints complicates the feasible region of the original problem and increases the difficulty of problem solving. There are not only feasible regions, but also large areas of infeasible regions in the objective space of CMOPs. Inspired by this, this paper proposes a bidirectional coevolution method with reverse search (BCRS) combined with a two-stage approach. In the first stage of evolution, constraints are ignored and the population is pushed toward promising regions. In the second stage, evolution is divided into two parts, i.e., the main population evolves toward the constrained Pareto front (CPF) within the feasible region, while the reverse population approaches the CPF from the infeasible region. Then a solution exchange strategy similar to weak cooperation is used between the two populations. The experimental results on benchmark functions and real-world problems show that the proposed algorithm exhibits superior or at least competitive performance compared to other state-of-the-art algorithms. It demonstrates BCRS is an effective algorithm for addressing CMOPs. Graphical Abstract

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Capturing spatial, time-wise and technological detail in hydrogen supply chains: A bi-level multi-objective optimization approach

Cantú

Ponsich

Azzaro‐Pantel

et al. 2023

Applied Energy

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On the use of Gradient-Based Repair Method for Solving Constrained Multiobjective Optimization Problems—A Comparative Study

Cited by 4 publications

References 21 publications

Review on constraint handling techniques for microgrid energy/power management systems

Review on constraint handling techniques for microgrid energy/power management systems

A two-stage bidirectional coevolution algorithm with reverse search for constrained multiobjective optimization

Capturing spatial, time-wise and technological detail in hydrogen supply chains: A bi-level multi-objective optimization approach

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