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In dealing with constrained multi-objective optimization problems (CMOPs), a key issue of multi-objective evolutionary algorithms (MOEAs) is to balance the convergence and diversity of working populations.

Neural and Evolutionary Computing · Computer Science 2019-06-04 Zhun Fan , Zhaojun Wang , Wenji Li , Yutong Yuan , Yugen You , Zhi Yang , Fuzan Sun , Jie Ruan , Zhaocheng Li

A multi-modal multi-objective optimization problem is a special kind of multi-objective optimization problem with multiple Pareto subsets. In this paper, we propose an efficient multi-modal multi-objective optimization algorithm based on…

Neural and Evolutionary Computing · Computer Science 2020-04-22 Yiming Peng , Hisao Ishibuchi

It may seem very intuitive that for the maximization of the OneMax problem $\OM(x):=\sum_{i=1}^n{x_i}$ the best that an elitist unary unbiased search algorithm can do is to store a best so far solution, and to modify it with the operator…

Neural and Evolutionary Computing · Computer Science 2021-01-18 Nathan Buskulic , Carola Doerr

In this paper we systematically study the importance, i.e., the influence on performance, of the main design elements that differentiate scalarizing functions-based multiobjective evolutionary algorithms (MOEAs). This class of MOEAs…

Neural and Evolutionary Computing · Computer Science 2017-03-29 Mansoureh Aghabeig , Andrzej Jaszkiewicz

An important challenge in reinforcement learning, including evolutionary robotics, is to solve multimodal problems, where agents have to act in qualitatively different ways depending on the circumstances. Because multimodal problems are…

Neural and Evolutionary Computing · Computer Science 2019-12-12 Joost Huizinga , Jeff Clune

Traditional multiobjective optimization problems (MOPs) are insufficiently equipped for scenarios involving multiple decision makers (DMs), which are prevalent in many practical applications. These scenarios are categorized as multiparty…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Kesheng Chen , Wenjian Luo , Qi Zhou , Yujiang liu , Peilan Xu , Yuhui Shi

Multiobjective combinatorial optimization (MOCO) problems can be found in many real-world applications. However, exactly solving these problems would be very challenging, particularly when they are NP-hard. Many handcrafted heuristic…

Machine Learning · Computer Science 2022-05-10 Xi Lin , Zhiyuan Yang , Qingfu Zhang

Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years due to their potential for solving real-world problems in various fields, such as logistics, finance, environmental management, and engineering.…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

Evolutionary algorithms (EAs) are universal solvers inspired by principles of natural evolution. In many applications, EAs produce astonishingly good solutions. As they are able to deal with complex optimisation problems, they show great…

Neural and Evolutionary Computing · Computer Science 2024-09-25 Jakob Baumann , Ignaz Rutter , Dirk Sudholt

In this paper we consider multi-objective optimization problems over a box. The problem is very relevant and several computational approaches have been proposed in the literature. They broadly fall into two main classes: evolutionary…

Optimization and Control · Mathematics 2022-12-08 Matteo Lapucci , Pierluigi Mansueto , Fabio Schoen

This study develops a generalised multi-objective, multi-echelon supply chain optimisation model with non-stationary markets based on a Markov decision process, incorporating economic, environmental, and social considerations. The model is…

Artificial Intelligence · Computer Science 2025-07-29 Rifny Rachman , Josh Tingey , Richard Allmendinger , Pradyumn Shukla , Wei Pan

Purpose: Current inverse planning methods for IMRT are limited because they are not designed to explore the trade-offs between the competing objectives between the tumor and normal tissues. Our goal was to develop an efficient…

Medical Physics · Physics 2015-06-04 Clay Holdsworth , Minsun Kim , Jay Liao , Mark H Phillips

An integrated optimization method based on the constrained multi-objective evolutionary algorithm (MOEA) and non-intrusive polynomial chaos expansion (PCE) is proposed, which solves robust multi-objective optimization problems under…

Neural and Evolutionary Computing · Computer Science 2022-09-29 Yuji Takubo , Masahiro Kanazaki

Constrained submodular optimization problems play a key role in the area of combinatorial optimization as they capture many NP-hard optimization problems. So far, Pareto optimization approaches using multi-objective formulations have been…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Frank Neumann , Günter Rudolph

Dealing with multi-objective problems by using generation methods has some interesting advantages since it provides the decision-maker with the complete information about the set of non-dominated points (Pareto front) and a clear overview…

Optimization and Control · Mathematics 2022-09-09 Mariana Mesquita-Cunha , José Rui Figueira , Ana Paula Barbosa-Póvoa

Multiobjective evolutionary algorithms (MOEAs) have been successfully applied to a number of constrained optimization problems. Many of them adopt mutation and crossover operators from differential evolution. However, these operators do not…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Wei Huang , Tao Xu , Kangshun Li , Jun He

Evolutionary algorithms (EAs) are general-purpose optimization algorithms, inspired by natural evolution. Recent theoretical studies have shown that EAs can achieve good approximation guarantees for solving the problem classes of submodular…

Neural and Evolutionary Computing · Computer Science 2022-12-19 Chao Qian , Dan-Xuan Liu , Chao Feng , Ke Tang

This work proposes a novel multi-objective optimization approach that globally finds a representative non-inferior set of solutions, also known as Pareto-optimal solutions, by automatically formulating and solving a sequence of weighted sum…

Optimization and Control · Mathematics 2023-12-11 Marcos M. Raimundo , Paulo A. V. Ferreira , Fernando J. Von Zuben

This work proposes a novel multi-objective optimization approach that globally finds a representative non-inferior set of solutions, also known as Pareto-optimal solutions, by automatically formulating and solving a sequence of weighted sum…

Optimization and Control · Mathematics 2023-12-11 Marcos M. Raimundo , Fernando J. Von Zuben

Chance constrained optimization problems allow to model problems where constraints involving stochastic components should only be violated with a small probability. Evolutionary algorithms have been applied to this scenario and shown to…

Neural and Evolutionary Computing · Computer Science 2024-08-23 Frank Neumann , Carsten Witt