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Tackling complex optimization problems often relies on expert-designed heuristics, typically crafted through extensive trial and error. Recent advances demonstrate that large language models (LLMs), when integrated into well-designed…

Neural and Evolutionary Computing · Computer Science 2025-05-20 Ziyao Huang , Weiwei Wu , Kui Wu , Jianping Wang , Wei-Bin Lee

Heuristic design with large language models (LLMs) has emerged as a promising approach for tackling combinatorial optimization problems (COPs). However, existing approaches often rely on manually predefined evolutionary computation (EC)…

Machine Learning · Computer Science 2026-03-25 Yiding Shi , Jianan Zhou , Wen Song , Jieyi Bi , Yaoxin Wu , Zhiguang Cao , Jie Zhang

Heuristics are commonly used to tackle various search and optimization problems. Design heuristics usually require tedious manual crafting with domain knowledge. Recent works have incorporated Large Language Models (LLMs) into automatic…

Artificial Intelligence · Computer Science 2025-02-05 Shunyu Yao , Fei Liu , Xi Lin , Zhichao Lu , Zhenkun Wang , Qingfu Zhang

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

Large Language Models (LLMs) have advanced the field of Combinatorial Optimization through automated heuristic generation. Instead of relying on manual design, this LLM-Driven Heuristic Design (LHD) process leverages LLMs to iteratively…

Machine Learning · Computer Science 2026-04-17 Rongzheng Wang , Yihong Huang , Muquan Li , Jiakai Li , Di Liang , Bob Simons , Pei Ke , Shuang Liang , Ke Qin

The omnipresence of NP-hard combinatorial optimization problems (COPs) compels domain experts to engage in trial-and-error heuristic design. The long-standing endeavor of design automation has gained new momentum with the rise of large…

Neural and Evolutionary Computing · Computer Science 2024-10-15 Haoran Ye , Jiarui Wang , Zhiguang Cao , Federico Berto , Chuanbo Hua , Haeyeon Kim , Jinkyoo Park , Guojie Song

The integration of Large Language Models (LLMs) into evolutionary frameworks has established a new paradigm for automated heuristic discovery. Despite their promise, these methods typically search in the discrete space of program syntax,…

Artificial Intelligence · Computer Science 2026-05-19 Cheikh Ahmed , Mahdi Mostajabdaveh , Zirui Zhou

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

Heuristic algorithms play a vital role in solving combinatorial optimization (CO) problems, yet traditional designs depend heavily on manual expertise and struggle to generalize across diverse instances. We introduce \textbf{HeurAgenix}, a…

Artificial Intelligence · Computer Science 2025-06-25 Xianliang Yang , Ling Zhang , Haolong Qian , Lei Song , Jiang Bian

Designing heuristics for combinatorial optimization problems (COPs) is a fundamental yet challenging task that traditionally requires extensive domain expertise. Recently, Large Language Model (LLM)-based Automated Heuristic Design (AHD)…

Artificial Intelligence · Computer Science 2026-04-28 Bin Chen , Shouliang Zhu , Beidan Liu , Yong Zhao , Tianle Pu , Huichun Li , Zhengqiu Zhu

Designing optimization approaches, whether heuristic or meta-heuristic, usually demands extensive manual intervention and has difficulty generalizing across diverse problem domains. The combination of Large Language Models (LLMs) and…

Neural and Evolutionary Computing · Computer Science 2024-10-29 He Yu , Jing Liu

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

This paper introduces MeLA, a Metacognitive LLM-Driven Architecture that presents a new paradigm for Automatic Heuristic Design (AHD). Traditional evolutionary methods operate directly on heuristic code; in contrast, MeLA evolves the…

Artificial Intelligence · Computer Science 2025-09-08 Zishang Qiu , Xinan Chen , Long Chen , Ruibin Bai

Large Language Models have recently emerged as a promising paradigm for automated heuristic design for NP-hard combinatorial optimization problems. Despite this progress, existing LLM-based methods typically rely on monolithic workflows…

Artificial Intelligence · Computer Science 2026-05-11 Yuping Yan , Jirui Han , Fei Ming , Yuanshuai Li , Yaochu Jin

Automated Heuristic Design (AHD) using Large Language Models (LLMs) has achieved notable success in recent years. Despite the effectiveness of existing approaches, they only design a single heuristic to serve all problem instances, often…

Artificial Intelligence · Computer Science 2025-08-21 Fei Liu , Yilu Liu , Qingfu Zhang , Xialiang Tong , Mingxuan Yuan

Combinatorial optimization problems often rely on heuristic algorithms to generate efficient solutions. However, the manual design of heuristics is resource-intensive and constrained by the designer's expertise. Recent advances in…

Artificial Intelligence · Computer Science 2025-03-06 Thomas Bömer , Nico Koltermann , Max Disselnmeyer , Laura Dörr , Anne Meyer

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

Heuristics are widely used for dealing with complex search and optimization problems. However, manual design of heuristics can be often very labour extensive and requires rich working experience and knowledge. This paper proposes Evolution…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Fei Liu , Xialiang Tong , Mingxuan Yuan , Xi Lin , Fu Luo , Zhenkun Wang , Zhichao Lu , Qingfu Zhang

The art of heuristic design has traditionally been a human pursuit. While Large Language Models (LLMs) can generate code for search heuristics, their application has largely been confined to adjusting simple functions within human-crafted…

Artificial Intelligence · Computer Science 2025-09-03 Guorui Quan , Mingfei Sun , Manuel López-Ibáñez

The prevailing paradigm in Automated Heuristic Design (AHD) typically relies on the assumption that a single, fixed algorithm can effectively navigate the shifting dynamics of a combinatorial search. This static approach often proves…

Artificial Intelligence · Computer Science 2026-03-17 Guidong Lu , Yiping Liu , Xiangxiang Zeng
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