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Evolutionary algorithms excel in solving complex optimization problems, especially those with multiple objectives. However, their stochastic nature can sometimes hinder rapid convergence to the global optima, particularly in scenarios…

Neural and Evolutionary Computing · Computer Science 2024-05-10 Zeyi Wang , Songbai Liu , Jianyong Chen , Kay Chen Tan

Coupling Large Language Models (LLMs) with Evolutionary Algorithms has recently shown significant promise as a technique to design new heuristics that outperform existing methods, particularly in the field of combinatorial optimisation. An…

Neural and Evolutionary Computing · Computer Science 2025-01-22 Kevin Sim , Quentin Renau , Emma Hart

Metaheuristic search methods have proven to be essential tools for tackling complex optimization challenges, but their full potential is often constrained by conventional algorithmic frameworks. In this paper, we introduce a novel approach…

Artificial Intelligence · Computer Science 2024-10-23 Abdel-Rahman Hedar , Alaa E. Abdel-Hakim , Wael Deabes , Youseef Alotaibi , Kheir Eddine Bouazza

Combinatorial optimization problems are widely encountered in real-world applications. A critical research challenge lies in designing high-quality heuristic algorithms that efficiently approximate optimal solutions within a reasonable…

Neural and Evolutionary Computing · Computer Science 2026-03-17 Shaofeng Zhang , Shengcai Liu , Ning Lu , Jiahao Wu , Ji Liu , Yew-Soon Ong , Ke Tang

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

Heuristic search is the dominant paradigm in symbolic AI planning, and the strongest heuristics are the result of decades of work by planning researchers. Recent work has shown that large language models (LLMs) can design heuristics for…

Artificial Intelligence · Computer Science 2026-05-29 Elliot Gestrin , Jendrik Seipp

Multi-objective combinatorial optimization problems (MOCOP) frequently arise in practical applications that require the simultaneous optimization of conflicting objectives. Although traditional evolutionary algorithms can be effective, they…

Neural and Evolutionary Computing · Computer Science 2026-01-16 Minh Hieu Ha , Hung Phan , Tung Duy Doan , Tung Dao , Dao Tran , Huynh Thi Thanh Binh

With the rapid advancement of large language models (LLMs), LLM-based heuristic search methods have demonstrated strong capabilities in automated algorithm generation. However, their evolutionary processes often suffer from instability and…

Neural and Evolutionary Computing · Computer Science 2026-03-23 Yu-Nian Wang , Shen-Huan Lyu , Ning Chen , Jia-Le Xu , Baoliu Ye , Qingfu Zhang

Recent advances in Large Language Models have led to remarkable achievements across a variety of Natural Language Processing tasks, making prompt engineering increasingly central to guiding model outputs. While manual methods can be…

Computation and Language · Computer Science 2025-07-15 Wendi Cui , Zhuohang Li , Hao Sun , Damien Lopez , Kamalika Das , Bradley A. Malin , Sricharan Kumar , Jiaxin Zhang

Multi-objective optimization problems (MOPs) are ubiquitous in real-world applications, presenting a complex challenge of balancing multiple conflicting objectives. Traditional evolutionary algorithms (EAs), though effective, often rely on…

Neural and Evolutionary Computing · Computer Science 2024-07-29 Yuxiao Huang , Shenghao Wu , Wenjie Zhang , Jibin Wu , Liang Feng , Kay Chen Tan

Large Language Model (LLM) based automated heuristic design (AHD) has shown great potential in discovering efficient heuristics. Most existing LLM-AHD frameworks use semantic evolutionary operators that rely entirely on the LLM's…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Sun Shengming , Shi Jialong

Large language models (LLMs) have recently advanced automatic heuristic design (AHD) for combinatorial optimization (CO), where candidate heuristics are iteratively proposed, evaluated, and refined. Most existing approaches search over…

Artificial Intelligence · Computer Science 2026-05-08 Nguyen Viet Tuan Kiet , Bui Dinh Pham , Dao Van Tung , Tran Cong Dao , Huynh Thi Thanh Binh

Since the rise of Large Language Models (LLMs) a couple of years ago, researchers in metaheuristics (MHs) have wondered how to use their power in a beneficial way within their algorithms. This paper introduces a novel approach that…

Artificial Intelligence · Computer Science 2025-02-13 Camilo Chacón Sartori , Christian Blum , Filippo Bistaffa , Guillem Rodríguez Corominas

Large Language Models (LLMs) have advanced Automated Heuristic Design (AHD) in combinatorial optimization (CO) in the past few years. However, existing discovery pipelines often require extensive manual trial-and-error or reliance on domain…

Neural and Evolutionary Computing · Computer Science 2026-02-19 Mingxin Yu , Ruixiao Yang , Chuchu Fan

Many real-world optimization problems consist of multiple tightly coupled subproblems whose solutions must be coordinated to achieve high overall performance. However, existing large language model driven automated heuristic design…

Neural and Evolutionary Computing · Computer Science 2026-05-08 Thomas Bömer , Bastian Amberg , Max Disselnmeyer , Anne Meyer

Automatic Heuristic Design (AHD) is an effective framework for solving complex optimization problems. The development of large language models (LLMs) enables the automated generation of heuristics. Existing LLM-based evolutionary methods…

Artificial Intelligence · Computer Science 2025-12-12 Hui Wang , Yang Liu , Xiaoyu Zhang , Chaoxu Mu

While Large Language Models (LLMs) have recently shown promise in Automated Heuristic Design (AHD), existing approaches typically formulate AHD around constructive priority rules or parameterized local search guidance, thereby restricting…

Artificial Intelligence · Computer Science 2026-02-10 Baoyun Zhao , He Wang , Liang Zeng

The integration of Large Language Models (LLMs) into optimization has created a powerful synergy, opening exciting research opportunities. This paper investigates how LLMs can enhance existing optimization algorithms. Using their…

Artificial Intelligence · Computer Science 2025-02-13 Camilo Chacón Sartori , Christian Blum

While systems designed for solving planning tasks vastly outperform Large Language Models (LLMs) in this domain, they usually discard the rich semantic information embedded within task descriptions. In contrast, LLMs possess parametrised…

Computation and Language · Computer Science 2025-02-03 Andrey Borro , Patricia J Riddle , Michael W Barley , Michael J Witbrock

Solving NP-hard combinatorial optimization problems (COPs) (e.g., traveling salesman problems (TSPs) and capacitated vehicle routing problems (CVRPs)) in practice traditionally involves handcrafting heuristics or specifying a search space…

Machine Learning · Computer Science 2025-05-27 Nguyen Thach , Aida Riahifar , Nathan Huynh , Hau Chan