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Optimization modeling plays a critical role in the application of Operations Research (OR) tools to address real-world problems, yet they pose challenges and require extensive expertise from OR experts. With the advent of large language…

Computation and Language · Computer Science 2025-07-30 Chenyu Huang , Zhengyang Tang , Shixi Hu , Ruoqing Jiang , Xin Zheng , Dongdong Ge , Benyou Wang , Zizhuo Wang

Large Language Models (LLMs) have shown remarkable capabilities in solving diverse tasks. However, their proficiency in iteratively optimizing complex solutions through learning from previous feedback remains insufficiently explored. To…

Artificial Intelligence · Computer Science 2025-06-13 Xiaozhe Li , Jixuan Chen , Xinyu Fang , Shengyuan Ding , Haodong Duan , Qingwen Liu , Kai Chen

Operations research (OR) is a core methodology that supports complex system decision-making, with broad applications in transportation, supply chain management, and production scheduling. However, traditional approaches that rely on…

Artificial Intelligence · Computer Science 2025-10-15 Yang Wang , Kai Li

Optimization problems seek to find the best solution to an objective under a set of constraints, and have been widely investigated in real-world applications. Modeling and solving optimization problems in a specific domain typically require…

Optimization and Control · Mathematics 2024-07-12 Jihai Zhang , Wei Wang , Siyan Guo , Li Wang , Fangquan Lin , Cheng Yang , Wotao Yin

Large Language Models (LLMs) have demonstrated remarkable capabilities in reasoning and tool use. However, the fundamental cognitive faculties essential for problem solving, including perception, reasoning, and memory, remain the stable…

Artificial Intelligence · Computer Science 2026-05-12 Xiaozhe Li , Jixuan Chen , Xinyu Fang , Shengyuan Ding , Haodong Duan , Qingwen Liu , Kai Chen

Optimization modeling and solving are fundamental to the application of Operations Research (OR) in real-world decision making, yet the process of translating natural language problem descriptions into formal models and solver code remains…

Artificial Intelligence · Computer Science 2025-11-13 Zezhen Ding , Zhen Tan , Jiheng Zhang , Tianlong Chen

While Large Language Models (LLMs) demonstrate remarkable reasoning, complex optimization tasks remain challenging, requiring domain knowledge and robust implementation. However, existing benchmarks focus narrowly on Mathematical…

Computation and Language · Computer Science 2026-04-24 Xinyu Zhang , Boxuan Zhang , Yuchen Wan , Lingling Zhang , YiXing Yao , Bifan Wei , Yaqiang Wu , Jun Liu

Large Language Models (LLMs) have demonstrated great capabilities across diverse natural language tasks; yet their ability to solve abstraction and optimization problems with constraints remains scarcely explored. In this paper, we…

Artificial Intelligence · Computer Science 2026-03-25 Fabien Bernier , Salah Ghamizi , Pantelis Dogoulis , Maxime Cordy

Large language models (LLMs) are increasingly used to convert natural language descriptions into mathematical optimization formulations. Current evaluations often treat formulations as a whole, relying on coarse metrics like solution…

Machine Learning · Computer Science 2025-10-21 Dania Refai , Moataz Ahmed

Large language models (LLMs) have exhibited their problem-solving abilities in mathematical reasoning. Solving realistic optimization (OPT) problems in application scenarios requires advanced and applied mathematics ability. However,…

Machine Learning · Computer Science 2025-06-05 Zhicheng Yang , Yiwei Wang , Yinya Huang , Zhijiang Guo , Wei Shi , Xiongwei Han , Liang Feng , Linqi Song , Xiaodan Liang , Jing Tang

Large Language Models (LLMs) possess substantial reasoning capabilities and are increasingly applied to optimization tasks, particularly in synergy with evolutionary computation. However, while recent surveys have explored specific aspects…

Neural and Evolutionary Computing · Computer Science 2026-01-08 Yisong Zhang , Ran Cheng , Guoxing Yi , Kay Chen Tan

Large Language Models (LLMs) have shown strong reasoning capabilities, with models like OpenAI's O-series and DeepSeek R1 excelling at tasks such as mathematics, coding, logic, and puzzles through Reinforcement Learning with Verifiable…

Artificial Intelligence · Computer Science 2025-10-21 Xiaozhe Li , Xinyu Fang , Shengyuan Ding , Linyang Li , Haodong Duan , Qingwen Liu , Kai Chen

The rapid progress of artificial intelligence increasingly relies on efficient integrated circuit (IC) design. Recent studies have explored the use of large language models (LLMs) for generating Register Transfer Level (RTL) code, but…

Artificial Intelligence · Computer Science 2026-01-06 Yao Lu , Shang Liu , Hangan Zhou , Wenji Fang , Qijun Zhang , Zhiyao Xie

In this paper, we introduce and apply Operations Research Question Answering (ORQA), a new benchmark designed to assess the generalization capabilities of Large Language Models (LLMs) in the specialized technical domain of Operations…

Optimization modeling is one of the most crucial but technical parts of operations research (OR). To automate the modeling process, existing works have leveraged large language models (LLMs), prompting them to break down tasks into steps…

Artificial Intelligence · Computer Science 2025-10-28 Haoyang Liu , Jie Wang , Yuyang Cai , Xiongwei Han , Yufei Kuang , Jianye Hao

Mathematical programming -- the task of expressing operations and decision-making problems in precise mathematical language -- is fundamental across domains, yet remains a skill-intensive process requiring operations research expertise.…

In this paper, we conduct a thorough investigation into the reasoning capabilities of Large Language Models (LLMs), focusing specifically on the Open Pretrained Transformers (OPT) models as a representative of such models. Our study entails…

Computation and Language · Computer Science 2023-10-25 Badr AlKhamissi , Siddharth Verma , Ping Yu , Zhijing Jin , Asli Celikyilmaz , Mona Diab

Recent Large Language Models (LLMs) such as OpenAI o3-mini and DeepSeek-R1 use enhanced reasoning through Chain-of-Thought (CoT). Their potential in hardware design, which relies on expert-driven iterative optimization, remains unexplored.…

Artificial Intelligence · Computer Science 2025-04-15 Luca Collini , Andrew Hennessee , Ramesh Karri , Siddharth Garg

Large language models (LLMs) demonstrate impressive capabilities in mathematical reasoning. However, despite these achievements, current evaluations are mostly limited to specific mathematical topics, and it remains unclear whether LLMs are…

Computation and Language · Computer Science 2025-04-01 Arash Gholami Davoodi , Seyed Pouyan Mousavi Davoudi , Pouya Pezeshkpour

This paper presents an integrated systematic study of the performance of large language models (LLMs), specifically ChatGPT, for automatically formulating and solving Stochastic Optimization (SO) problems from natural language descriptions.…

Artificial Intelligence · Computer Science 2026-01-15 Amirreza Talebi
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