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The 0-1 Multidimensional Knapsack Problem (MKP) is a classical NP-hard combinatorial optimization problem with many engineering applications. In this paper, we propose a novel algorithm combining evolutionary computation with the exact…

Artificial Intelligence · Computer Science 2024-07-23 Jitao Xu , Hongbo Li , Minghao Yin

When a problem instance is perturbed by a small modification, one would hope to find a good solution for the new instance by building on a known good solution for the previous one. Via a rigorous mathematical analysis, we show that…

Neural and Evolutionary Computing · Computer Science 2019-04-17 Benjamin Doerr , Carola Doerr , Frank Neumann

Evolutionary algorithms (EAs) are population-based metaheuristics, originally inspired by aspects of natural evolution. Modern varieties incorporate a broad mixture of search mechanisms, and tend to blend inspiration from nature with…

Neural and Evolutionary Computing · Computer Science 2018-05-29 David W. Corne , Michael A. Lones

Multi- or many-objective evolutionary algorithm- s(MOEAs), especially the decomposition-based MOEAs have been widely concerned in recent years. The decomposition-based MOEAs emphasize convergence and diversity in a simple model and have…

Neural and Evolutionary Computing · Computer Science 2018-03-19 Yingyu Zhang , Bing Zeng , Yuanzhen Li , Junqing Li

Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

The performance of multiobjective evolutionary algorithms (MOEAs) varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

The performance of evolutionary algorithms can be heavily undermined when constraints limit the feasible areas of the search space. For instance, while Covariance Matrix Adaptation Evolution Strategy is one of the most efficient algorithms…

Neural and Evolutionary Computing · Computer Science 2018-10-08 A. Maesani , G. Iacca , D. Floreano

In stochastic combinatorial optimization, algorithms differ in their adaptivity: whether or not they query realized randomness and adapt to it. Dean et al. (FOCS '04) formalize the adaptivity gap, which compares the performance of fully…

Data Structures and Algorithms · Computer Science 2026-03-03 Zohar Barak , Inbal Talgam-Cohen

Quadratic multiple knapsack problem (QMKP) is a combinatorial optimisation problem characterised by multiple weight capacity constraints and a profit function that combines linear and quadratic profits. We study a stochastic variant of this…

Neural and Evolutionary Computing · Computer Science 2025-11-05 Kokila Kasuni Perera , Aneta Neumann

Algorithm selection is crucial in the field of optimization, as no single algorithm performs perfectly across all types of optimization problems. Finding the best algorithm among a given set of algorithms for a given problem requires a…

Neural and Evolutionary Computing · Computer Science 2025-01-27 Saba Sadeghi Ahouei , Denis Antipov , Aneta Neumann , Frank Neumann

Multi-Objective Evolutionary Algorithms (MOEAs) have been proved efficient to deal with Multi-objective Optimization Problems (MOPs). Until now tens of MOEAs have been proposed. The unified mode would provide a more systematic approach to…

Neural and Evolutionary Computing · Computer Science 2011-02-01 Bojin Zheng , Yuanxiang Li

This paper intends to understand and to improve the working principle of decomposition-based multi-objective evolutionary algorithms. We review the design of the well-established Moea/d framework to support the smooth integration of…

Neural and Evolutionary Computing · Computer Science 2020-04-16 Geoffrey Pruvost , Bilel Derbel , Arnaud Liefooghe , Ke Li , Qingfu Zhang

The knapsack problem is one of the classical problems in combinatorial optimization: Given a set of items, each specified by its size and profit, the goal is to find a maximum profit packing into a knapsack of bounded capacity. In the…

Data Structures and Algorithms · Computer Science 2020-12-02 Susanne Albers , Arindam Khan , Leon Ladewig

The optimization of dynamic problems is both widespread and difficult. When conducting dynamic optimization, a balance between reinitialization and computational expense has to be found. There are multiple approaches to this. In parallel…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter , Christoph Waldhauser

Context: Evolutionary algorithms typically require a large number of evaluations (of solutions) to converge - which can be very slow and expensive to evaluate.Objective: To solve search-based software engineering (SE) problems, using fewer…

Software Engineering · Computer Science 2017-09-19 Jianfeng Chen , Vivek Nair , Tim Menzies

The Makespan Scheduling problem is an extensively studied NP-hard problem, and its simplest version looks for an allocation approach for a set of jobs with deterministic processing times to two identical machines such that the makespan is…

Neural and Evolutionary Computing · Computer Science 2025-04-25 Feng Shi , Daoyu Huang , Xiankun Yan , Frank Neumann

Evolutionary algorithms are metaheuristic techniques that derive inspiration from the natural process of evolution. They can efficiently solve (generate acceptable quality of solution in reasonable time) complex optimization (NP-Hard)…

Computer Vision and Pattern Recognition · Computer Science 2013-12-20 Anupriya Gogna , Akash Tayal

As evolutionary algorithms (EAs) are general-purpose optimization algorithms, recent theoretical studies have tried to analyze their performance for solving general problem classes, with the goal of providing a general theoretical…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian

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

Recently, it has been proven that evolutionary algorithms produce good results for a wide range of combinatorial optimization problems. Some of the considered problems are tackled by evolutionary algorithms that use a representation which…

Neural and Evolutionary Computing · Computer Science 2013-01-18 Benjamin Doerr , Anton Eremeev , Frank Neumann , Madeleine Theile , Christian Thyssen