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As optimization challenges continue to evolve, so too must our tools and understanding. To effectively assess, validate, and compare optimization algorithms, it is crucial to use a benchmark test suite that encompasses a diverse range of…

Neural and Evolutionary Computing · Computer Science 2025-11-18 Amir H. Gandomi , Mohammad Nabi Omidvar , Rohit Salgotra , Kalyanmoy Deb

Dynamic multi-objective optimization with a changing number of objectives has recently attracted increasing attention due to its relevance to real-world problems whose evaluation criteria may evolve over time. However, existing benchmark…

Neural and Evolutionary Computing · Computer Science 2026-05-26 Ke Shang , Zhiyun Xiao , Yuxuan Liu , Jianguo Li , Shaojiang Wang , Wei Sun

The evaluation of heuristic optimizers on test problems, better known as \emph{benchmarking}, is a cornerstone of research in multi-objective optimization. However, most test problems used in benchmarking numerical multi-objective black-box…

Optimization and Control · Mathematics 2026-01-26 Lennart Schäpermeier , Pascal Kerschke

Benchmark problems play a central role in assessing the performance of numerical optimization algorithms. However, many existing constrained multiobjective optimization benchmark problems rely on overly restricted constructions or lack…

Optimization and Control · Mathematics 2026-04-13 Anne Auger , Dimo Brockhoff , Luka Opravš , Tea Tušar

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

Route planning also known as pathfinding is one of the key elements in logistics, mobile robotics and other applications, where engineers face many conflicting objectives. However, most of the current route planning algorithms consider only…

Neural and Evolutionary Computing · Computer Science 2021-08-18 Jens Weise , Sanaz Mostaghim

Multi-objective AI planning suffers from a lack of benchmarks exhibiting known Pareto Fronts. In this work, we propose a tunable benchmark generator, together with a dedicated solver that provably computes the true Pareto front of the…

Artificial Intelligence · Computer Science 2023-05-01 Alexandre Quemy , Marc Schoenauer , Johann Dreo

Dynamic multi-objective optimization (DMOO) has recently attracted increasing interest from both academic researchers and engineering practitioners, as numerous real-world applications that evolve over time can be naturally formulated as…

Neural and Evolutionary Computing · Computer Science 2026-01-06 Chang Shao , Qi Zhao , Nana Pu , Shi Cheng , Jing Jiang , Yuhui Shi

Dynamic multi-objective optimization problems (DMOPs) are widely accepted to be more challenging than stationary problems due to the time-dependent nature of the objective functions and/or constraints. Evaluation of purpose-built algorithms…

Neural and Evolutionary Computing · Computer Science 2022-04-11 Daniel Herring , Michael Kirley , Xin Yao

Benchmark problems are an important tool for gaining understanding of optimization algorithms. Since algorithms often aim to perform well on benchmarks, biases in benchmark design provide misleading insights. In single-objective…

Neural and Evolutionary Computing · Computer Science 2026-04-14 Diederick Vermetten , Jeroen Rook

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

Multi-objective optimization is key to solving many Engineering Design problems, where design parameters are optimized for several performance indicators. However, optimization results are highly dependent on how the designs are…

Machine Learning · Computer Science 2021-09-29 Wei Chen , Faez Ahmed

Sequential transfer optimization (STO), which aims to improve the optimization performance on a task of interest by exploiting the knowledge captured from several previously-solved optimization tasks stored in a database, has been gaining…

Neural and Evolutionary Computing · Computer Science 2023-10-20 Xiaoming Xue , Cuie Yang , Liang Feng , Kai Zhang , Linqi Song , Kay Chen Tan

Multi-objective optimization (MOO) is a prevalent challenge for Deep Learning, however, there exists no scalable MOO solution for truly deep neural networks. Prior work either demand optimizing a new network for every point on the Pareto…

Machine Learning · Computer Science 2021-10-15 Michael Ruchte , Josif Grabocka

We present a novel approach for constructing discrete optimization benchmarks that enables fine-grained control over problem properties, and such benchmarks can facilitate analyzing discrete algorithm behaviors. We build benchmark problems…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Furong Ye , Frank Neumann , Thomas Bäck , Niki van Stein

Multi-objective integer or mixed-integer programming problems typically have disconnected feasible domains, making the task of constructing an approximation of the Pareto front challenging. The present paper shows that certain algorithms…

Optimization and Control · Mathematics 2021-05-25 Regina S. Burachik , C. Yalçın Kaya , M. Mustafa Rizvi

The Generalized Moving Peaks Benchmark (GMPB) is a tool for generating continuous dynamic optimization problem instances with controllable dynamic and morphological characteristics. GMPB has been used in recent Competitions on Dynamic…

Neural and Evolutionary Computing · Computer Science 2024-12-11 Danial Yazdani , Michalis Mavrovouniotis , Changhe Li , Guoyu Chen , Wenjian Luo , Mohammad Nabi Omidvar , Juergen Branke , Shengxiang Yang , Xin Yao

Modern machine learning models are often constructed taking into account multiple objectives, e.g., minimizing inference time while also maximizing accuracy. Multi-objective hyperparameter optimization (MHPO) algorithms return such…

Machine Learning · Computer Science 2024-02-29 Matthias Feurer , Katharina Eggensperger , Edward Bergman , Florian Pfisterer , Bernd Bischl , Frank Hutter

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

In multiobjective optimisation, a set of scalable test problems with a variety of features allow researchers to investigate and evaluate the abilities of different optimisation algorithms, and thus can help them to design and develop more…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Liangli Zhen , Miqing Li , Ran Cheng , Dezhong Peng , Xin Yao
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