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In this paper, we conduct a fitness landscape analysis for multiobjective combinatorial optimization, based on the local optima of multiobjective NK-landscapes with objective correlation. In single-objective optimization, it has become…

Neural and Evolutionary Computing · Computer Science 2012-07-19 Sébastien Verel , Arnaud Liefooghe , Laetitia Jourdan , Clarisse Dhaenens

Fitness landscape analysis aims to understand the geometry of a given optimization problem in order to design more efficient search algorithms. However, there is a very little knowledge on the landscape of multiobjective problems. In this…

Neural and Evolutionary Computing · Computer Science 2012-07-19 Sébastien Verel , Arnaud Liefooghe , Clarisse Dhaenens

Recently, the property of connectedness has been claimed to give a strong motivation on the design of local search techniques for multiobjective combinatorial optimization (MOCO). Indeed, when connectedness holds, a basic Pareto local…

Neural and Evolutionary Computing · Computer Science 2012-07-20 Sébastien Verel , Arnaud Liefooghe , Jérémie Humeau , Laetitia Jourdan , Clarisse Dhaenens

Recently, neural heuristics based on deep reinforcement learning have exhibited promise in solving multi-objective combinatorial optimization problems (MOCOPs). However, they are still struggling to achieve high learning efficiency and…

Machine Learning · Computer Science 2023-10-25 Jinbiao Chen , Jiahai Wang , Zizhen Zhang , Zhiguang Cao , Te Ye , Siyuan Chen

We present an analysis of landscape features for predicting the performance of multi-objective combinatorial optimization algorithms. We consider features from the recently proposed compressed Pareto Local Optimal Solutions Networks…

Neural and Evolutionary Computing · Computer Science 2025-07-03 Ana Nikolikj , Gabriela Ochoa , Tome Eftimov

Multi-objectivization is a term used to describe strategies developed for optimizing single-objective problems by multi-objective algorithms. This paper focuses on multi-objectivizing the sum-of-the-parts combinatorial optimization…

Neural and Evolutionary Computing · Computer Science 2021-02-04 Jialong Shi , Jianyong Sun , Qingfu Zhang

For solving combinatorial optimisation problems with metaheuristics, different search operators are applied for sampling new solutions in the neighbourhood of a given solution. It is important to understand the relationship between…

Artificial Intelligence · Computer Science 2023-05-05 Jiyuan Pei , Hao Tong , Jialin Liu , Yi Mei , Xin Yao

The difficulty of solving a multi-objective optimization problem is impacted by the number of objectives to be optimized. The presence of many objectives typically introduces a number of challenges that affect the choice/design of…

Artificial Intelligence · Computer Science 2021-06-08 Richard Allmendinger , Andrzej Jaszkiewicz , Arnaud Liefooghe , Christiane Tammer

The knapsack problem (KP) and its multidimensional version (MKP) are basic problems in combinatorial optimization. In this paper we consider their multiobjective extension (MOKP and MOMKP), for which the aim is to obtain or to approximate…

Discrete Mathematics · Computer Science 2010-07-26 Thibaut Lust , Jacques Teghem

Combinatorial optimization is widely applied in a number of areas nowadays. Unfortunately, many combinatorial optimization problems are NP-hard which usually means that they are unsolvable in practice. However, it is often unnecessary to…

Data Structures and Algorithms · Computer Science 2012-07-10 Daniel Karapetyan

In this paper, we investigate the possibility of improving the performance of multi-objective optimization solution approaches using machine learning techniques. Specifically, we focus on multi-objective binary linear programs and employ…

Machine Learning · Statistics 2019-01-31 Alvaro Sierra-Altamiranda , Hadi Charkhgard , Iman Dayarian , Ali Eshragh , Sorna Javadi

Neural Combinatorial Optimization attempts to learn good heuristics for solving a set of problems using Neural Network models and Reinforcement Learning. Recently, its good performance has encouraged many practitioners to develop neural…

Artificial Intelligence · Computer Science 2022-05-04 Andoni I. Garmendia , Josu Ceberio , Alexander Mendiburu

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

Recently, there has been a renewed interest in decomposition-based approaches for evolutionary multiobjective optimization. However, the impact of the choice of the underlying scalarizing function(s) is still far from being well understood.…

Artificial Intelligence · Computer Science 2014-09-22 Bilel Derbel , Dimo Brockhoff , Arnaud Liefooghe , Sébastien Verel

Local Optima Networks (LONs) have been recently proposed as an alternative model of combinatorial fitness landscapes. The model compresses the information given by the whole search space into a smaller mathematical object that is the graph…

Artificial Intelligence · Computer Science 2012-10-16 Fabio Daolio , Sébastien Verel , Gabriela Ochoa , Marco Tomassini

Understanding the relationships between objectives in a multiobjective optimisation problem is important for developing tailored and efficient solving techniques. In particular, when tackling combinatorial optimisation problems with many…

Neural and Evolutionary Computing · Computer Science 2025-10-02 Rodrigo Lankaites Pinheiro , Dario Landa-Silva , Jason Atkin

This paper presents an algorithm for multiobjective optimization that blends together a number of heuristics. A population of agents combines heuristics that aim at exploring the search space both globally and in a neighborhood of each…

Computational Engineering, Finance, and Science · Computer Science 2012-06-07 Massimiliano Vasile , Federico Zuiani

Software architecture optimization aims to enhance non-functional attributes like performance and reliability while meeting functional requirements. Multi-objective optimization employs metaheuristic search techniques, such as genetic…

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

Machine Learning · Statistics 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

The properties of local optimal solutions in multi-objective combinatorial optimization problems are crucial for the effectiveness of local search algorithms, particularly when these algorithms are based on Pareto dominance. Such local…

Artificial Intelligence · Computer Science 2014-09-22 Manuel López-Ibáñez , Arnaud Liefooghe , Sébastien Verel
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