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This document describes the generalized moving peaks benchmark (GMPB) and how it can be used to generate problem instances for continuous large-scale dynamic optimization problems. It presents a set of 15 benchmark problems, the relevant…

Optimization and Control · Mathematics 2021-07-26 Mohammad Nabi Omidvar , Danial Yazdani , Juergen Branke , Xiaodong Li , Shengxiang Yang , Xin Yao

Dynamic multi-objective optimization problems (DMOPs) remain a challenge to be settled, because of conflicting objective functions change over time. In recent years, transfer learning has been proven to be a kind of effective approach in…

Neural and Evolutionary Computing · Computer Science 2019-10-23 Zhenzhong Wang , Min Jiang , Xing Gao , Liang Feng , Weizhen Hu , Kay Chen Tan

Dynamic Optimization Problems (DOPs) are characterized by changes in the fitness landscape that can occur at any time and are common in real world applications. The main issues to be considered include detecting the change in the fitness…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Alexandre Mascarenhas , Yuri Lavinas , Claus Aranha

In practical multi-criterion decision-making, it is cumbersome if a decision maker (DM) is asked to choose among a set of trade-off alternatives covering the whole Pareto-optimal front. This is a paradox in conventional evolutionary…

Neural and Evolutionary Computing · Computer Science 2022-04-07 Ke Li , Guiyu Lai , Xin Yao

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

Scalability of evolutionary algorithms refers to assessing how their performance changes as problem size increases. In the area of multi-objective optimisation, research on the scalability of multi-objective evolutionary algorithms (MOEAs)…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Menghao Tang , Zimin Liang , Miqing Li

Benchmarking plays an important role in the development of novel search algorithms as well as for the assessment and comparison of contemporary algorithmic ideas. This paper presents common principles that need to be taken into account when…

Neural and Evolutionary Computing · Computer Science 2018-10-08 Michael Hellwig , Hans-Georg Beyer

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

Niching is an important and widely used technique in evolutionary multi-objective optimization. Its applications mainly focus on maintaining diversity and avoiding early convergence to local optimum. Recently, a special class of…

Neural and Evolutionary Computing · Computer Science 2021-02-02 Yiming Peng , Hisao Ishibuchi

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

Optimization and Control · Mathematics 2020-03-24 Tao Xu , Jun He , Changjing Shang

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

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

As the interest in multi- and many-objective optimization algorithms grows, the performance comparison of these algorithms becomes increasingly important. A large number of performance indicators for multi-objective optimization algorithms…

Artificial Intelligence · Computer Science 2024-11-28 Amin Ibrahim , Azam Asilian Bidgoli , Shahryar Rahnamayan , Kalyanmoy Deb

Real-world multiobjective optimization problems usually involve conflicting objectives that change over time, which requires the optimization algorithms to quickly track the Pareto optimal front (POF) when the environment changes. In recent…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Dejun Xu , Min Jiang , Weizhen Hu , Shaozi Li , Renhu Pan , Gary G. Yen

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

Optimisation algorithms are commonly compared on benchmarks to get insight into performance differences. However, it is not clear how closely benchmarks match the properties of real-world problems because these properties are largely…

Neural and Evolutionary Computing · Computer Science 2021-07-15 Koen van der Blom , Timo M. Deist , Vanessa Volz , Mariapia Marchi , Yusuke Nojima , Boris Naujoks , Akira Oyama , Tea Tušar

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

Constrained multi-objective optimization problems (CMOPs) are of great significance in the context of practical applications, ranging from scientific to engineering domains. Most existing constrained multi-objective evolutionary algorithms…

Neural and Evolutionary Computing · Computer Science 2026-03-18 Shuai Shao , Ye Tian , Shangshang Yang , Xingyi Zhang

We define very large-scale multiobjective optimization problems as optimizing multiple objectives (VLSMOPs) with more than 100,000 decision variables. These problems hold substantial significance, given the ubiquity of real-world scenarios…

Neural and Evolutionary Computing · Computer Science 2024-04-09 Haokai Hong , Min Jiang , Qiuzhen Lin , Kay Chen Tan

Finding different solutions to the same problem is a key aspect of intelligence associated with creativity and adaptation to novel situations. In reinforcement learning, a set of diverse policies can be useful for exploration, transfer,…

Artificial Intelligence · Computer Science 2022-01-05 Tom Zahavy , Brendan O'Donoghue , Andre Barreto , Volodymyr Mnih , Sebastian Flennerhag , Satinder Singh