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The challenge of noisy multi-objective optimization lies in the constant trade-off between exploring new decision points and improving the precision of known points through resampling. This decision should take into account both the…

Machine Learning · Computer Science 2025-04-25 Timo Budszuhn , Mark Joachim Krallmann , Daniel Horn

Benson's outer approximation algorithm and its variants are the most frequently used methods for solving linear multiobjective optimization problems. These algorithms have two intertwined components: one-dimensional linear optimization one…

Optimization and Control · Mathematics 2019-03-21 Laszlo Csirmaz

This note presents a simple and effective variation of genetic algorithm (GA) for solving RCPSP, denoted as 2-Phase Genetic Algorithm (2PGA). The 2PGA implements GA parent selection in two phases: Phase-1 includes the best current solutions…

Neural and Evolutionary Computing · Computer Science 2025-09-04 D. Sun , S. Zhou

Multi-objective optimization is crucial in scientific and industrial applications where solutions must balance trade-offs among conflicting objectives. State-of-the-art methods, such as NSGA-III and MOEA/D, can handle many objectives but…

Neural and Evolutionary Computing · Computer Science 2025-05-05 Kota Nagakane , Masahiro Nomura , Isao Ono

In a first-of-its-kind study, this paper proposes the formulation of constructing prediction intervals (PIs) in a time series as a bi-objective optimization problem and solves it with the help of Nondominated Sorting Genetic Algorithm…

Neural and Evolutionary Computing · Computer Science 2021-02-24 Vangala Sarveswararao , Vadlamani Ravi , Sheik Tanveer Ul Huq

Most evolutionary algorithms (EAs) used in practice employ crossover. In contrast, only for few and mostly artificial examples a runtime advantage from crossover could be proven with mathematical means. The most convincing such result shows…

Neural and Evolutionary Computing · Computer Science 2023-02-27 Benjamin Doerr , Aymen Echarghaoui , Mohammed Jamal , Martin S. Krejca

Networked Control Systems (NCSs) often suffer from random packet dropouts which deteriorate overall system's stability and performance. To handle the ill effects of random packet losses in feedback control systems, closed over communication…

Optimization and Control · Mathematics 2013-01-08 Sourav Das , Saptarshi Das , Indranil Pan

The article introduces a new mechanism for selecting individuals to a Pareto archive. It was combined with a micro-genetic algorithm and tested on several problems. The ability of this approach to produce individuals uniformly distributed…

Optimization and Control · Mathematics 2015-03-13 Jaroslav Hájek , András Szöllös , Jakub Šístek

We propose a gate-based Quantum Genetic Algorithm (QGA) for real-valued global optimization. In this model, individuals are represented by quantum circuits whose measurement outcomes are decoded into real-valued vectors through binary…

Quantum Physics · Physics 2025-11-10 Leandro C. Souza , Laurent E. Dardenne , Renato Portugal

Evolutionary computing, particularly genetic algorithm (GA), is a combinatorial optimization method inspired by natural selection and the transmission of genetic information, which is widely used to identify optimal solutions to complex…

Neural and Evolutionary Computing · Computer Science 2024-12-31 Shanqing Yu , Meng Zhou , Jintao Zhou , Minghao Zhao , Yidan Song , Yao Lu , Zeyu Wang , Qi Xuan

Explicitly accounting for uncertainties is paramount to the safety of engineering structures. Optimization which is often carried out at the early stage of the structural design offers an ideal framework for this task. When the…

Methodology · Statistics 2022-12-14 M. Moustapha , A. Galimshina , G. Habert , B. Sudret

Genetic Algorithms (GAs) are used to solve search and optimization problems in which an optimal solution can be found using an iterative process with probabilistic and non-deterministic transitions. However, depending on the problem's…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Matheus F. Torquato , Marcelo A. C. Fernandes

Recently, there has been growing interest within the theoretical community in analytically studying multi-objective evolutionary algorithms. This runtime analysis-focused research can help formally understand algorithm behaviour, explain…

Neural and Evolutionary Computing · Computer Science 2025-07-09 Zimin Liang , Miqing Li

The target set selection problem (TSS) asks for a set of vertices such that an influence spreading process started in these vertices reaches the whole graph. The current state of the art for this NP-hard problem are three recently proposed…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Benjamin Doerr , Martin S. Krejca , Nguyen Vu

We consider a multi-objective optimization problem with objective functions that are expensive to evaluate. The decision maker (DM) has unknown preferences, and so the standard approach is to generate an approximation of the Pareto front…

Machine Learning · Computer Science 2021-05-28 Juan Ungredda , Mariapia Marchi , Teresa Montrone , Juergen Branke

In this paper, we introduce, MultiGA, an optimization framework which applies genetic algorithm principles to address complex natural language tasks and reasoning problems by sampling from a diverse population of LLMs to initialize the…

Neural and Evolutionary Computing · Computer Science 2026-04-03 Isabelle Diana May-Xin Ng , Tharindu Cyril Weerasooriya , Haitao Zhu , Wei Wei

Imaging in radioastronomy is an ill-posed inverse problem. Particularly the Event Horizon Telescope (EHT) Collaboration investigated the fidelity of their image reconstructions convincingly by large surveys solving the problem with…

Instrumentation and Methods for Astrophysics · Physics 2023-07-05 Hendrik Müller , Alejandro Mus , Andrei Lobanov

We address day-ahead transmission topology planning and congestion management as a sequential, multi-objective optimization problem and develop two complementary algorithms for it: an exact enumeration method and a tailored evolutionary…

Optimization and Control · Mathematics 2026-05-06 Job Groeneveld , Miguel Muñoz , Jan Viebahn , Alessandro Zocca

It is shown that the use of an external archive, purely for storage purposes, can bring substantial benefits in multi-objective optimization. A new scheme for archive management for the above purpose is described. The new scheme is combined…

Neural and Evolutionary Computing · Computer Science 2018-11-26 Mahesh B. Patil

In the real world, there exist a class of optimization problems that multiple (local) optimal solutions in the solution space correspond to a single point in the objective space. In this paper, we theoretically show that for such multimodal…

Neural and Evolutionary Computing · Computer Science 2024-06-06 Shengjie Ren , Zhijia Qiu , Chao Bian , Miqing Li , Chao Qian