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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

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

Evolutionary algorithms have been widely applied for solving dynamic constrained optimization problems (DCOPs) as a common area of research in evolutionary optimization. Current benchmarks proposed for testing these problems in the…

Neural and Evolutionary Computing · Computer Science 2019-07-10 Maryam Hasani-Shoreh , María-Yaneli Ameca-Alducin , Wilson Blaikie , Frank Neumann , Marc Schoenauer

Solving many-objective problems (MaOPs) is still a significant challenge in the multi-objective optimization (MOO) field. One way to measure algorithm performance is through the use of benchmark functions (also called test functions or test…

Neural and Evolutionary Computing · Computer Science 2020-02-13 Ivan Reinaldo Meneghini , Marcos Antonio Alves , António Gaspar-Cunha , Frederico Gadelha Guimarães

This document introduces a set of 24 box-constrained numerical global optimization problem instances, systematically constructed using the Generalized Numerical Benchmark Generator (GNBG). These instances cover a broad spectrum of problem…

Optimization and Control · Mathematics 2023-12-13 Amir H. Gandomi , Danial Yazdani , Mohammad Nabi Omidvar , Kalyanmoy Deb

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 and multimodal features are two important properties and widely existed in many real-world optimization problems. The former illustrates that the objectives and/or constraints of the problems change over time, while the latter means…

Neural and Evolutionary Computing · Computer Science 2022-01-07 Wenjian Luo , Xin Lin , Changhe Li , Shengxiang Yang , 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

Optimization benchmarks play a fundamental role in assessing algorithm performance; however, existing artificial benchmarks often fail to capture the diversity and irregularity of real-world problem structures, while benchmarks derived from…

Neural and Evolutionary Computing · Computer Science 2026-01-26 Yuhiro Ono , Tomohiro Harada , Yukiya Miura

The main challenge of multimodal optimization problems is identifying multiple peaks with high accuracy in multidimensional search spaces with irregular landscapes. This work proposes the Multiple Global Peaks Big Bang-Big Crunch (MGP-BBBC)…

Neural and Evolutionary Computing · Computer Science 2025-02-11 Fabio Stroppa , Ahmet Astar

We present a method for automatically building diagrams for olympiad-level geometry problems and implement our approach in a new open-source software tool, the Geometry Model Builder (GMB). Central to our method is a new domain-specific…

Computational Geometry · Computer Science 2021-05-04 Ryan Krueger , Jesse Michael Han , Daniel Selsam

In real life, mostly problems are dynamic. Many algorithms have been proposed to handle the static problems, but these algorithms do not handle or poorly handle the dynamic environment problems. Although, many algorithms have been proposed…

Neural and Evolutionary Computing · Computer Science 2025-09-29 Zahid Iqbal , Waseem Shahzad

In this study, we use Genetic Programming (GP) to compose new optimization benchmark functions. Optimization benchmarks have the important role of showing the differences between evolutionary algorithms, making it possible for further…

Neural and Evolutionary Computing · Computer Science 2024-03-22 Yifan He , Claus Aranha

Benchmarking in continuous black-box optimisation is hindered by the limited structural diversity of existing test suites such as BBOB. We explore whether large language models embedded in an evolutionary loop can be used to design…

Artificial Intelligence · Computer Science 2026-01-28 Urban Skvorc , Niki van Stein , Moritz Seiler , Britta Grimme , Thomas Bäck , Heike Trautmann

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

Data Structures and Algorithms · Computer Science 2012-12-18 Mugurel Ionut Andreica

We introduce GeoBuildBench, a benchmark designed to evaluate whether large language models and multimodal agents can ground informal natural-language plane geometry problems into executable geometric constructions. Unlike existing geometry…

Computation and Language · Computer Science 2026-05-14 Jinwoong Kim , Rui Yang , Huishuai Zhang

In multi-objective optimization, designing good benchmark problems is an important issue for improving solvers. Controlling the global location of Pareto optima in existing benchmark problems has been problematic, and it is even more…

Optimization and Control · Mathematics 2024-02-13 Ryosuke Ota , Reiya Hagiwara , Naoki Hamada , Likun Liu , Takahiro Yamamoto , Daisuke Sakurai

Memory-Bounded Dynamic Programming (MBDP) has proved extremely effective in solving decentralized POMDPs with large horizons. We generalize the algorithm and improve its scalability by reducing the complexity with respect to the number of…

Artificial Intelligence · Computer Science 2012-06-26 Sven Seuken , Shlomo Zilberstein

This paper presents Global Benchmark Database (GBD), a comprehensive suite of tools for provisioning and sustainably maintaining benchmark instances and their metadata. The availability of benchmark metadata is essential for many tasks in…

Databases · Computer Science 2026-01-15 Ashlin Iser , Christoph Jabs

Evolutionary multitasking (EMT) has emerged as a popular topic of evolutionary computation over the past decade. It aims to concurrently address multiple optimization tasks within limited computing resources, leveraging inter-task knowledge…

Neural and Evolutionary Computing · Computer Science 2026-02-11 Yanchi Li , Wenyin Gong , Tingyu Zhang , Fei Ming , Shuijia Li , Qiong Gu , Yew-Soon Ong
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