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Large Language Models (LLMs) have enabled automated heuristic design (AHD) for combinatorial optimization problems (COPs), but existing frameworks' reliance on fixed evolutionary rules and static prompt templates often leads to myopic…

Artificial Intelligence · Computer Science 2026-05-26 Oguzhan Gungordu , Siheng Xiong , Faramarz Fekri

Large Language Models (LLMs) excel in various tasks, but they rely on carefully crafted prompts that often demand substantial human effort. To automate this process, in this paper, we propose a novel framework for discrete prompt…

Computation and Language · Computer Science 2025-05-02 Qingyan Guo , Rui Wang , Junliang Guo , Bei Li , Kaitao Song , Xu Tan , Guoqing Liu , Jiang Bian , Yujiu Yang

Automated prompt optimization (APO) aims to improve large language model performance by refining prompt instructions. However, existing methods are largely constrained by fixed prompt templates, limited search spaces, or single-sided…

Multiagent Systems · Computer Science 2026-05-18 Kewen Zhu , Liping Yi , Zhiming Zhao , Xiang Li , Qinghua Hu

Prompt optimization aims to find the best prompt to a large language model (LLM) for a given task. LLMs have been successfully used to help find and improve prompt candidates for single-step tasks. However, realistic tasks for agents are…

Computation and Language · Computer Science 2024-10-04 Yongchao Chen , Jacob Arkin , Yilun Hao , Yang Zhang , Nicholas Roy , Chuchu Fan

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

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

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

Designing effective heuristics for NP-hard combinatorial optimization problems remains challenging and often requires substantial domain expertise. Recent LLM-guided evolutionary methods have shown promise for automated heuristic…

Artificial Intelligence · Computer Science 2026-05-27 Cuong Van Duc , Minh Nguyen Dinh Tuan , Tam Vu Duc , Tung Vu Duy , Son Nguyen Van , Hanh Nguyen Thi , Binh Huynh Thi Thanh

We consider enhancing large language models (LLMs) for complex planning tasks. While existing methods allow LLMs to explore intermediate steps to make plans, they either depend on unreliable self-verification or external verifiers to…

Artificial Intelligence · Computer Science 2025-02-27 Hongyi Ling , Shubham Parashar , Sambhav Khurana , Blake Olson , Anwesha Basu , Gaurangi Sinha , Zhengzhong Tu , James Caverlee , Shuiwang Ji

Automatic Heuristic Design (AHD) has gained traction as a promising solution for solving combinatorial optimization problems (COPs). Large Language Models (LLMs) have emerged and become a promising approach to achieving AHD, but current…

Artificial Intelligence · Computer Science 2025-12-05 Jiawei Xu , Feng-Feng Wei , Wei-Neng Chen

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

Recent studies exploited Large Language Models (LLMs) to autonomously generate heuristics for solving Combinatorial Optimization Problems (COPs), by prompting LLMs to first provide search directions and then derive heuristics accordingly.…

Neural and Evolutionary Computing · Computer Science 2025-06-12 Xuan Wu , Di Wang , Chunguo Wu , Lijie Wen , Chunyan Miao , Yubin Xiao , You Zhou

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

Automatic Heuristic Design (AHD) is an active research area due to its utility in solving complex search and NP-hard combinatorial optimization problems in the real world. The recent advancements in Large Language Models (LLMs) introduce…

Neural and Evolutionary Computing · Computer Science 2024-12-20 Pham Vu Tuan Dat , Long Doan , Huynh Thi Thanh Binh

Large Language Models (LLMs) have demonstrated remarkable capabilities across various tasks, with their performance heavily dependent on the quality of input prompts. While prompt engineering has proven effective, it typically relies on…

Neural and Evolutionary Computing · Computer Science 2025-04-17 Xavier Sécheresse , Jacques-Yves Guilbert--Ly , Antoine Villedieu de Torcy

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 high-performing metaheuristics for NP-hard combinatorial optimization problems, such as the Vehicle Routing Problem (VRP), remains a significant challenge, often requiring extensive domain expertise and manual tuning. Recent…

Neural and Evolutionary Computing · Computer Science 2026-04-10 Manuj Malik , Jianan Zhou , Shashank Reddy Chirra , Zhiguang Cao

Primal heuristics play a critical role in improving the efficiency of mixed integer programming (MILP) solvers. As large language models (LLMs) have demonstrated superior code generation abilities, recent MILP works are devoted to…

Neural and Evolutionary Computing · Computer Science 2025-07-22 Zhihao Zhang , Siyuan Li , Chenxi Li , Feifan Liu , Mengjing Chen , Kai Li , Tao Zhong , Bo An , Peng Liu

Large Language Models (LLMs) exhibit remarkable proficiency in addressing a diverse array of tasks within the Natural Language Processing (NLP) domain, with various prompt design strategies significantly augmenting their capabilities.…

Computation and Language · Computer Science 2024-08-05 Xiangyu Zhao , Chengqian Ma