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We propose the cone epsilon-dominance approach to improve convergence and diversity in multiobjective evolutionary algorithms (MOEAs). A cone-eps-MOEA is presented and compared with MOEAs based on the standard Pareto relation (NSGA-II,…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Lucas S. Batista , Felipe Campelo , Frederico G. Guimarães , Jaime A. Ramírez

Many real-world optimization problems such as engineering design can be eventually modeled as the corresponding multiobjective optimization problems (MOPs) which must be solved to obtain approximate Pareto optimal fronts. Multiobjective…

Neural and Evolutionary Computing · Computer Science 2021-11-12 Wang Chen , Jian Chen , Weitian Wu , Xinmin Yang , Hui Li

In evolutionary multiobjective optimization, effectiveness refers to how an evolutionary algorithm performs in terms of converging its solutions into the Pareto front and also diversifying them over the front. This is not an easy job,…

Neural and Evolutionary Computing · Computer Science 2022-10-26 Yani Xue , Miqing Li , Xiaohui Liu

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

Most real-world Planning problems are multi-objective, trying to minimize both the makespan of the solution plan, and some cost of the actions involved in the plan. But most, if not all existing approaches are based on single-objective…

Artificial Intelligence · Computer Science 2013-05-07 Mostepha Redouane Khouadjia , Marc Schoenauer , Vincent Vidal , Johann Dréo , Pierre Savéant

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

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

Multi-Objective Evolutionary Algorithms (MOEAs) have proven effective at solving Multi-Objective Optimisation Problems (MOOPs). However, their performance can be significantly hindered when applied to computationally intensive industrial…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Tiwonge Msulira Banda , Alexandru-Ciprian Zăvoianu

The development of efficient and effective evolutionary multi-objective optimization (EMO) algorithms has been an active research topic in the evolutionary computation community. Over the years, many EMO algorithms have been proposed. The…

Neural and Evolutionary Computing · Computer Science 2020-08-18 Lie Meng Pang , Hisao Ishibuchi , Ke Shang

As a typical model-based evolutionary algorithm (EA), estimation of distribution algorithm (EDA) possesses unique characteristics and has been widely applied to global optimization. However, the common-used Gaussian EDA (GEDA) usually…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Yongsheng Liang , Zhigang Ren , Xianghua Yao , Zuren Feng , An Chen

The theoretical understanding of MOEAs is lagging far behind their success in practice. In particular, previous theory work considers mostly easy problems that are composed of unimodal objectives. As a first step towards a deeper…

Neural and Evolutionary Computing · Computer Science 2025-02-11 Weijie Zheng , Benjamin Doerr

Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

The NSGA-II is the most prominent multi-objective evolutionary algorithm (cited more than 50,000 times). Very recently, a mathematical runtime analysis has proven that this algorithm can have enormous difficulties when the number of…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Benjamin Doerr , Dimitri Korkotashvili , Martin S. Krejca

The present survey provides the state-of-the-art of research, copiously devoted to Evolutionary Approach (EAs) for clustering exemplified with a diversity of evolutionary computations. The Survey provides a nomenclature that highlights some…

Neural and Evolutionary Computing · Computer Science 2013-12-10 Ramachandra Rao Kurada , Dr. K Karteeka Pavan , Dr. AV Dattareya Rao

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

The infeasible parts of the objective space in difficult many-objective optimization problems cause trouble for evolutionary algorithms. This paper proposes a reference vector based algorithm which uses two interacting engines to adapt the…

Neural and Evolutionary Computing · Computer Science 2019-04-15 Mingde Zhao , Hongwei Ge , Kai Zhang , Yaqing Hou

Pareto optimization using evolutionary multi-objective algorithms has been widely applied to solve constrained submodular optimization problems. A crucial factor determining the runtime of the used evolutionary algorithms to obtain good…

Neural and Evolutionary Computing · Computer Science 2023-05-15 Frank Neumann , Carsten Witt

In the evolutionary multi-objective optimization (EMO) field, the standard practice is to present the final population of an EMO algorithm as the output. However, it has been shown that the final population often includes solutions which…

Neural and Evolutionary Computing · Computer Science 2022-12-12 Ke Shang , Tianye Shu , Hisao Ishibuchi , Yang Nan , Lie Meng Pang

When working with decomposition-based algorithms, an appropriate set of weights might improve quality of the final solution. A set of uniformly distributed weights usually leads to well-distributed solutions on a Pareto front. However,…

Neural and Evolutionary Computing · Computer Science 2020-03-26 Lucas R. C. de Farias , Pedro H. M. Braga , Hansenclever F. Bassani , Aluizio F. R. Araújo

This work tackles two critical challenges related to the development of metaheuristics for Multi-Objective Optimization Problems (MOOPs): the exponential growth of non-dominated solutions and the tendency of metaheuristics to…

Neural and Evolutionary Computing · Computer Science 2026-02-05 Amadeu A. Coco , Cyprien Borée , Julien Baste , Laetitia Jourdan , Lucien Mousin