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In multi-objective optimization problems, there might exist hidden objectives that are important to the decision-maker but are not being optimized. On the other hand, there might also exist irrelevant objectives that are being optimized but…

Optimization and Control · Mathematics 2022-06-06 Seyed Mahdi Shavarani , Manuel López-Ibáñez , Richard Allmendinger

The major difficulty in Multi-objective Optimization Evolutionary Algorithms (MOEAs) is how to find an appropriate solution that is able to converge towards the true Pareto Front with high diversity. Most existing methodologies, which have…

Optimization and Control · Mathematics 2020-04-30 Jeisson Prieto , Jonatan Gomez

Multi-objective optimization problems whose objectives have different evaluation costs are commonly seen in the real world. Such problems are now known as multi-objective optimization problems with heterogeneous objectives (HE-MOPs). So…

Neural and Evolutionary Computing · Computer Science 2022-08-26 Xilu Wang , Yaochu Jin , Sebastian Schmitt , Markus Olhofer

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

Optimization and Control · Mathematics 2024-06-11 Mohsen Amidzadeh

Particle filter-based 2D-SLAM is widely used in indoor localization tasks due to its efficiency. However, indoor environments such as long straight corridors can cause severe degeneracy problems in SLAM. In this paper, we use Proximal…

In this paper, we study ordinary differential equations (ODE) coupled with solutions of a stochastic nonsmooth convex optimization problem (SNCOP). We use the regularization approach, the sample average approximation and the time-stepping…

Optimization and Control · Mathematics 2025-02-11 Jianfeng Luo , Xiaojun Chen

Drones are effective for reducing human activity and interactions by performing tasks such as exploring and inspecting new environments, monitoring resources and delivering packages. Drones need a controller to maintain stability and to…

Systems and Control · Electrical Eng. & Systems 2021-05-19 Azin Shamshirgaran , Hamed Javidi , Dan Simon

This paper presents an iterative data-driven algorithm for solving dynamic multi-objective (MO) optimal control problems arising in control of nonlinear continuous-time systems. It is first shown that the Hamiltonian functional…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Majid Mazouchi , Yongliang Yang , Hamidreza Modares

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

Optimization and Control · Mathematics 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

In this paper, we propose a parallel multiobjective evolutionary algorithm called Parallel Criterion-based Partitioning MOEA (PCPMOEA), with an application to the Mutliobjective Knapsack Problem (MOKP). The suggested search strategy is…

Optimization and Control · Mathematics 2018-11-07 Kantour Nedjmeddine , Bouroubi Sadek , Chaabane Djamel

In this article we provide a comprehensive review of the different evolutionary algorithm techniques used to address multimodal optimization problems, classifying them according to the nature of their approach. On the one hand there are…

Neural and Evolutionary Computing · Computer Science 2015-08-24 Noe Casas

Real world problems always have different multiple solutions. For instance, optical engineers need to tune the recording parameters to get as many optimal solutions as possible for multiple trials in the varied-line-spacing holographic…

Neural and Evolutionary Computing · Computer Science 2015-08-04 Ka-Chun Wong

Distributed Constraint Optimization Problems (DCOPs) are a widely studied constraint handling framework. The objective of a DCOP algorithm is to optimize a global objective function that can be described as the aggregation of a number of…

Multiagent Systems · Computer Science 2019-09-16 Moumita Choudhury , Saaduddin Mahmud , Md. Mosaddek Khan

Evolutionary algorithms, such as Differential Evolution, excel in solving real-parameter optimization challenges. However, the effectiveness of a single algorithm varies across different problem instances, necessitating considerable efforts…

Neural and Evolutionary Computing · Computer Science 2024-03-08 Hongshu Guo , Yining Ma , Zeyuan Ma , Jiacheng Chen , Xinglin Zhang , Zhiguang Cao , Jun Zhang , Yue-Jiao Gong

When addressing the challenge of complex multi-objective optimization problems, particularly those with non-convex and non-uniform Pareto fronts, Decomposition-based Multi-Objective Evolutionary Algorithms (MOEADs) often converge to local…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Ting Dong , Haoxin Wang , Hengxi Zhang , Wenbo Ding

In this paper we consider multi-objective optimization problems over a box. The problem is very relevant and several computational approaches have been proposed in the literature. They broadly fall into two main classes: evolutionary…

Optimization and Control · Mathematics 2022-12-08 Matteo Lapucci , Pierluigi Mansueto , Fabio Schoen

This paper gives a concise overview of evolutionary algorithms for multiobjective optimization. A substantial number of evolutionary computation methods for multiobjective problem solving has been proposed so far, and an attempt of unifying…

Combinatorics · Mathematics 2009-04-21 Arnaud Liefooghe , Laetitia Jourdan , El-Ghazali Talbi

In this work, we consider methods for solving large-scale optimization problems with a possibly nonsmooth objective function. The key idea is to first specify a class of optimization algorithms using a generic iterative scheme involving…

Optimization and Control · Mathematics 2020-02-19 Sebastian Banert , Axel Ringh , Jonas Adler , Johan Karlsson , Ozan Öktem

This paper introduces a variant of the Set Orienteering Problem (SOP), the multi-Depot multiple Set Orienteering Problem (mDmSOP). It generalizes the SOP by grouping nodes into mutually exclusive sets (clusters) with associated profits.…

Optimization and Control · Mathematics 2024-08-20 Ravi Kant , Salmaan Shahid , Anuvind Bhat , Abhishek Mishra

Business optimization is becoming increasingly important because all business activities aim to maximize the profit and performance of products and services, under limited resources and appropriate constraints. Recent developments in…

Optimization and Control · Mathematics 2012-03-30 Xin-She Yang , Suash Deb , Simon Fong