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Multiobjective evolutionary algorithms (MOEAs) are major methods for solving multiobjective optimization problems (MOPs). Many MOEAs have been proposed in the past decades, of which the search operators need a carefully handcrafted design…

Neural and Evolutionary Computing · Computer Science 2024-03-27 Fei Liu , Xi Lin , Zhenkun Wang , Shunyu Yao , Xialiang Tong , Mingxuan Yuan , Qingfu Zhang

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

In recent years, multimodal multiobjective optimization algorithms (MMOAs) based on evolutionary computation have been widely studied. However, existing MMOAs are mainly tested on benchmark function sets such as the 2019 IEEE Congress on…

Neural and Evolutionary Computing · Computer Science 2024-12-05 Zhiqiu Chen , Zong-Gan Chen , Yuncheng Jiang , Zhi-Hui Zhan

Real-world optimization problems often involve stochastic and dynamic components. Evolutionary algorithms are particularly effective in these scenarios, as they can easily adapt to uncertain and changing environments but often uncertainty…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Ishara Hewa Pathiranage , Frank Neumann , Denis Antipov , Aneta Neumann

The performance of multiobjective evolutionary algorithms (MOEAs) varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

Solving constrained optimization problems by multi-objective evolutionary algorithms has scored tremendous achievements in the last decade. Standard multi-objective schemes usually aim at minimizing the objective function and also the…

Neural and Evolutionary Computing · Computer Science 2015-10-02 Tao Xu , Jun He

Recent decades have witnessed great advancements in multiobjective evolutionary algorithms (MOEAs) for multiobjective optimization problems (MOPs). However, these progressively improved MOEAs have not necessarily been equipped with scalable…

Neural and Evolutionary Computing · Computer Science 2023-02-28 Songbai Liu , Qiuzhen Lin , Jianqiang Li , Kay Chen Tan

Learning-based heuristics for solving combinatorial optimization problems has recently attracted much academic attention. While most of the existing works only consider the single objective problem with simple constraints, many real-world…

Neural and Evolutionary Computing · Computer Science 2021-07-19 Yongxin Zhang , Jiahai Wang , Zizhen Zhang , Yalan Zhou

Multi-modal multi-objective optimization problems (MMMOPs) have multiple subsets within the Pareto-optimal Set, each independently mapping to the same Pareto-Front. Prevalent multi-objective evolutionary algorithms are not purely designed…

Neural and Evolutionary Computing · Computer Science 2021-02-04 Monalisa Pal , Sanghamitra Bandyopadhyay

In this paper, we design a set of multi-objective constrained optimization problems (MCOPs) and propose a new repair operator to address them. The proposed repair operator is used to fix the solutions that violate the box constraints. More…

Neural and Evolutionary Computing · Computer Science 2015-04-02 Zhun Fan , Wenji Li , Xinye Cai , Huibiao Lin , Shuxiang Xie , Erik Goodman

Multi-objective optimization problems with constraints (CMOPs) are generally considered more challenging than those without constraints. This in part can be attributed to the creation of infeasible regions generated by the constraint…

Neural and Evolutionary Computing · Computer Science 2024-02-13 Hanan Alsouly , Michael Kirley , Mario Andrés Muñoz

This paper gives a concise overview of evolutionary algorithms for multiobjective optimization. A substantial number of evolutionary computation methods for multiobjective problem solving has been proposed so far, and an attempt of unifying…

Combinatorics · Mathematics 2009-04-21 Arnaud Liefooghe , Laetitia Jourdan , El-Ghazali Talbi

Existing studies have shown that the conventional multi-objective evolutionary algorithms (MOEAs) based on decomposition may lose the population diversity when solving some many-objective optimization problems. In this paper, a simple…

Neural and Evolutionary Computing · Computer Science 2018-06-29 Yingyu Zhang , Bing Zeng

We study the multi-objective minimum weight base problem, an abstraction of classical NP-hard combinatorial problems such as the multi-objective minimum spanning tree problem. We prove some important properties of the convex hull of the…

Artificial Intelligence · Computer Science 2023-06-07 Anh Viet Do , Aneta Neumann , Frank Neumann , Andrew M. Sutton

Multi-objective evolutionary algorithms (MOEAs) are widely used to solve multi-objective optimization problems. The algorithms rely on setting appropriate parameters to find good solutions. However, this parameter tuning could be very…

Neural and Evolutionary Computing · Computer Science 2022-11-18 Remco Coppens , Robbert Reijnen , Yingqian Zhang , Laurens Bliek , Berend Steenhuisen

Real-world Constrained Multi-objective Optimization Problems (CMOPs) often contain multiple constraints, and understanding and utilizing the coupling between these constraints is crucial for solving CMOPs. However, existing Constrained…

Neural and Evolutionary Computing · Computer Science 2026-01-01 Ruiqing Sun , Dawei Feng , Xing Zhou , Lianghao Li , Sheng Qi , Bo Ding , Yijie Wang , Rui Wang , Huaimin Wang

The performance of multiobjective algorithms varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective algorithms, there has…

Neural and Evolutionary Computing · Computer Science 2022-07-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

Multi-objective evolutionary algorithms (MOEAs) have progressed significantly in recent decades, but most of them are designed to solve unconstrained multi-objective optimization problems. In fact, many real-world multi-objective problems…

Neural and Evolutionary Computing · Computer Science 2019-05-29 Zhun Fan , Wenji Li , Xinye Cai , Hui Li , Caimin Wei , Qingfu Zhang , Kalyanmoy Deb , Erik D. Goodman

One of the major distinguishing features of the dynamic multiobjective optimization problems (DMOPs) is the optimization objectives will change over time, thus tracking the varying Pareto-optimal front becomes a challenge. One of the…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Min Jiang , Zhongqiang Huang , Liming Qiu , Wenzhen Huang , Gary G. Yen

Decomposition-based evolutionary algorithms have become fairly popular for many-objective optimization in recent years. However, the existing decomposition methods still are quite sensitive to the various shapes of frontiers of…

Neural and Evolutionary Computing · Computer Science 2022-04-18 Yu Wu , Jianle Wei , Weiqin Ying , Yanqi Lan , Zhen Cui , Zhenyu Wang