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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

This paper proposes a push and pull search method in the framework of differential evolution (PPS-DE) to solve constrained single-objective optimization problems (CSOPs). More specifically, two sub-populations, including the top and bottom…

Neural and Evolutionary Computing · Computer Science 2018-12-18 Zhun Fan , Wenji Li , Zhaojun Wang , Yutong Yuan , Fuzan Sun , Zhi Yang , Jie Ruan , Zhaocheng Li , Erik Goodman

Most multimodal multi-objective evolutionary algorithms (MMEAs) aim to find all global Pareto optimal sets (PSs) for a multimodal multi-objective optimization problem (MMOP). However, in real-world problems, decision makers (DMs) may be…

Neural and Evolutionary Computing · Computer Science 2023-06-13 Wenhua Li , Xingyi Yao , Kaiwen Li , Rui Wang , Tao Zhang , Ling Wang

This paper proposes an improved epsilon constraint-handling mechanism, and combines it with a decomposition-based multi-objective evolutionary algorithm (MOEA/D) to solve constrained multi-objective optimization problems (CMOPs). The…

Neural and Evolutionary Computing · Computer Science 2017-09-19 Zhun Fan , Wenji Li , Xinye Cai , Han Huang , Yi Fang , Yugen You , Jiajie Mo , Caimin Wei , Erik Goodman

In this paper, an evolutionary many-objective optimization algorithm based on corner solution search (MaOEA-CS) was proposed. MaOEA-CS implicitly contains two phases: the exploitative search for the most important boundary optimal solutions…

Artificial Intelligence · Computer Science 2018-06-11 Xinye Cai , Haoran Sun , Chunyang Zhu , Zhenyu Li , Qingfu Zhang

Constrained multi-objective optimization problems (CMOPs) frequently arise in real-world applications where multiple conflicting objectives must be optimized under complex constraints. Existing dual-population two-stage algorithms have…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Zhen-Song Chen , Hong-Wei Ding , Xian-Jia Wang , Witold Pedrycz

In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

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

The effectiveness of Constrained Multi-Objective Evolutionary Algorithms (CMOEAs) depends on their ability to reach the different feasible regions during evolution, by exploiting the information present in infeasible solutions, in addition…

Neural and Evolutionary Computing · Computer Science 2025-02-07 Oladayo S. Ajani , Sri Srinivasa Raju M , Anand Paul , Rammohan Mallipeddi

In this paper, we propose a parallel multiobjective evolutionary algorithm called Parallel Criterion-based Partitioning MOEA (PCPMOEA), with an application to the Mutliobjective Knapsack Problem (MOKP). The suggested search strategy is…

Optimization and Control · Mathematics 2018-11-07 Kantour Nedjmeddine , Bouroubi Sadek , Chaabane Djamel

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

Existing evolutionary algorithms for Constrained Multi-objective Optimization Problems (CMOPs) typically treat all constraints uniformly, overlooking their distinct geometric relationships with the true Constrained Pareto Front (CPF). In…

Neural and Evolutionary Computing · Computer Science 2026-04-07 Ruiqing Sun , Dawei Feng , Sheng Qi , Xing Zhou , Lianghao Li , Bo Ding , Yijie Wang , Rui Wang , Huaimin Wang

Solving constrained multi-objective optimization problems with evolutionary algorithms has attracted considerable attention. Various constrained multi-objective optimization evolutionary algorithms (CMOEAs) have been developed with the use…

Artificial Intelligence · Computer Science 2024-02-21 Fei Ming , Wenyin Gong , Ling Wang , Yaochu Jin

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

In the field of evolutionary multi-objective optimization, the approximation of the Pareto front (PF) is achieved by utilizing a collection of representative candidate solutions that exhibit desirable convergence and diversity. Although…

Neural and Evolutionary Computing · Computer Science 2024-07-10 Peng Chen , Jing Liang , Kangjia Qiao , Ponnuthurai Nagaratnam Suganthan , Xuanxuan Ban

To solve real-world expensive constrained multi-objective optimization problems (ECMOPs), surrogate/approximation models are commonly incorporated in evolutionary algorithms to pre-select promising candidate solutions for evaluation.…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Kamrul Hasan Rahi

Constrained multiobjective optimization has gained much interest in the past few years. However, constrained multiobjective optimization problems (CMOPs) are still unsatisfactorily understood. Consequently, the choice of adequate CMOPs for…

Neural and Evolutionary Computing · Computer Science 2023-02-07 Aljoša Vodopija , Tea Tušar , Bogdan Filipič

Constrained multi-objective optimization problems (CMOPs) pervade real-world applications in science, engineering, and design. Constraint violation has been a building block in designing evolutionary multi-objective optimization algorithms…

Neural and Evolutionary Computing · Computer Science 2024-01-03 Shuang Li , Ke Li , Wei Li , Ming Yang

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

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
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