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The non-dominated sorting genetic algorithm II (NSGA-II) is the most intensively used multi-objective evolutionary algorithm (MOEA) in real-world applications. However, in contrast to several simple MOEAs analyzed also via mathematical…

Neural and Evolutionary Computing · Computer Science 2023-10-11 Weijie Zheng , Benjamin Doerr

The content ranking problem in a social news website, is typically a function that maximizes a scalar metric of interest like dwell-time. However, like in most real-world applications we are interested in more than one metric---for instance…

Artificial Intelligence · Computer Science 2017-05-17 Jeya Balaji Balasubramanian , Akshay Soni , Yashar Mehdad , Nikolay Laptev

Pareto front profiling in multi-objective optimization (MOO), i.e., finding a diverse set of Pareto optimal solutions, is challenging, especially with expensive objectives that require training a neural network. Typically, in MOO for neural…

Machine Learning · Computer Science 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter

Multi-objective evolutionary algorithms (MOEAs) are among the most widely and successfully applied optimizers for multi-objective problems. However, to store many optimal trade-offs (the Pareto optima) at once, MOEAs are typically run with…

Neural and Evolutionary Computing · Computer Science 2025-09-03 Benjamin Doerr , Martin S. Krejca , Simon Wietheger

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. Some evolutionary algorithms for multi-modal multi-objective optimization have been proposed in the literature. However,…

Neural and Evolutionary Computing · Computer Science 2020-10-02 Ryoji Tanabe , Hisao Ishibuchi

Creating diverse sets of high quality solutions has become an important problem in recent years. Previous works on diverse solutions problems consider solutions' objective quality and diversity where one is regarded as the optimization goal…

Neural and Evolutionary Computing · Computer Science 2024-01-17 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Multi-Objective Mixed-Integer Non-Linear Programming problems (MO-MINLPs) appear in several real-world applications, especially in the mechanical engineering field. To determine a good approximated Pareto front for this type of problems, we…

Optimization and Control · Mathematics 2021-05-17 Ahmed Jaber , Pascal Lafon , Rafic Younes

In this paper, two multi-objective optimization frameworks in two variants (i.e., NSGA-III-ARM-V1, NSGA-III-ARM-V2; and MOEAD-ARM-V1, MOEAD-ARM-V2) are proposed to find association rules from transactional datasets. The first framework uses…

Neural and Evolutionary Computing · Computer Science 2020-03-23 Shaik Tanveer Ul Huq , Vadlamani Ravi

A multiple objective simulation optimization algorithm named Multiple Objective Probabilistic Branch and Bound with Single Observation (MOPBnB(so)) is presented for approximating the Pareto optimal set and the associated efficient frontier…

Optimization and Control · Mathematics 2025-06-06 Hao Huang , Zelda B. Zabinsky

Very recently, the first mathematical runtime analyses of the multi-objective evolutionary optimizer NSGA-II have been conducted. We continue this line of research with a first runtime analysis of this algorithm on a benchmark problem…

Neural and Evolutionary Computing · Computer Science 2024-01-05 Benjamin Doerr , Zhongdi Qu

Electric machine design optimization is a computationally expensive multi-objective optimization problem. While the objectives require time-consuming finite element analysis, optimization constraints can often be based on mathematical…

Neural and Evolutionary Computing · Computer Science 2022-06-06 Bhuvan Khoshoo , Julian Blank , Thang Q. Pham , Kalyanmoy Deb , Shanelle N. Foster

The escalating risk of urban inundation has drawn increased attention to urban stormwater management. This study proposes a multi-objective optimization for terrain modification, combining the Non-dominated Sorting Genetic Algorithm II…

Computational Engineering, Finance, and Science · Computer Science 2024-01-08 Hanwen Xu , Mark Randall , Lei Li , Yuyi Tan , Thomas Balstrøm

This article addresses theory in evolutionary many-objective optimization and focuses on the role of crossover operators. The advantages of using crossover are hardly understood and rigorous runtime analyses with crossover are lagging far…

Neural and Evolutionary Computing · Computer Science 2025-07-17 Andre Opris

Many systems require optimisation over multiple objectives, where objectives are characteristics of the system such as energy consumed or increase in time to perform the work. Optimisation is performed by selecting the `best' set of input…

Performance · Computer Science 2019-10-08 Alexander J. M. Kell , Matthew Forshaw , A. Stephen McGough

The non-dominated sorting genetic algorithm~II (NSGA-II) is the most popular multi-objective optimization heuristic. Recent mathematical runtime analyses have detected two shortcomings in discrete search spaces, namely, that the NSGA-II has…

Neural and Evolutionary Computing · Computer Science 2025-04-22 Benjamin Doerr , Tudor Ivan , Martin S. Krejca

The time allocation problem in multi-function cognitive radar systems focuses on the trade-off between scanning for newly emerging targets and tracking the previously detected targets. We formulate this as a multi-objective optimization…

Machine Learning · Computer Science 2025-06-27 Ziyang Lu , Subodh Kalia , M. Cenk Gursoy , Chilukuri K. Mohan , Pramod K. Varshney

We propose an algorithm and a new method to tackle the classification problems. We propose a multi-output neural tree (MONT) algorithm, which is an evolutionary learning algorithm trained by the non-dominated sorting genetic algorithm…

Neural and Evolutionary Computing · Computer Science 2022-02-21 Varun Ojha , Giuseppe Nicosia

"Innovization" is a task of learning common relationships among some or all of the Pareto-optimal (PO) solutions in multi- and many-objective optimization problems. Recent studies have shown that a chronological sequence of non-dominated…

Neural and Evolutionary Computing · Computer Science 2026-05-07 Sukrit Mittal , Dhish Kumar Saxena , Kalyanmoy Deb , Erik Goodman

In warehouses, order picking is known to be the most labor-intensive and costly task in which the employees account for a large part of the warehouse performance. Hence, many approaches exist, that optimize the order picking process based…

Neural and Evolutionary Computing · Computer Science 2021-12-23 Veronika Lesch , Patrick B. M. Müller , Moritz Krämer , Samuel Kounev , Christian Krupitzer

Multi-objective optimization is a widely studied problem in diverse fields, such as engineering and finance, that seeks to identify a set of non-dominated solutions that provide optimal trade-offs among competing objectives. However, the…

Neural and Evolutionary Computing · Computer Science 2024-01-15 Arash Heidari , Sebastian Rojas Gonzalez , Tom Dhaene , Ivo Couckuyt