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Large Language Model (LLM) based multi-agent systems (MAS) show remarkable potential in collaborative problem-solving, yet they still face critical challenges: low communication efficiency, poor scalability, and a lack of effective…

Computation and Language · Computer Science 2025-02-19 Weize Chen , Jiarui Yuan , Chen Qian , Cheng Yang , Zhiyuan Liu , Maosong Sun

Optimization is ubiquitous. While derivative-based algorithms have been powerful tools for various problems, the absence of gradient imposes challenges on many real-world applications. In this work, we propose Optimization by PROmpting…

Machine Learning · Computer Science 2024-04-16 Chengrun Yang , Xuezhi Wang , Yifeng Lu , Hanxiao Liu , Quoc V. Le , Denny Zhou , Xinyun Chen

By virtue of its great utility in solving real-world problems, optimization modeling has been widely employed for optimal decision-making across various sectors, but it requires substantial expertise from operations research professionals.…

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

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

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

Supply chain operations traditionally involve a variety of complex decision making problems. Over the last few decades, supply chains greatly benefited from advances in computation, which allowed the transition from manual processing to…

Artificial Intelligence · Computer Science 2023-07-14 Beibin Li , Konstantina Mellou , Bo Zhang , Jeevan Pathuri , Ishai Menache

Large language models (LLMs) have demonstrated exceptional performance not only in natural language processing tasks but also in a great variety of non-linguistic domains. In diverse optimization scenarios, there is also a rising trend of…

Neural and Evolutionary Computing · Computer Science 2024-07-09 Beichen Huang , Xingyu Wu , Yu Zhou , Jibin Wu , Liang Feng , Ran Cheng , Kay Chen Tan

Optimization modeling via mixed-integer linear programming (MILP) is fundamental to industrial planning and scheduling, yet translating natural-language requirements into solver-executable models and maintaining them under evolving business…

Artificial Intelligence · Computer Science 2026-03-24 Yiliu He , Tianle Li , Binghao Ji , Zhiyuan Liu , Di Huang

Customizing Large Language Models (LLMs) on untrusted datasets poses severe risks of injecting toxic behaviors. In this work, we introduce Optimus, a novel defense framework designed to mitigate fine-tuning harms while preserving…

Large Language Models (LLMs) have emerged as powerful tools for software development tasks such as code completion, translation, and optimization. However, their ability to generate efficient and correct code, particularly in complex…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-19 Bowen Cui , Tejas Ramesh , Oscar Hernandez , Keren Zhou

Large language models (LLMs) have been widely adopted in mathematical optimization in scientific scenarios for their extensive knowledge and advanced reasoning capabilities. Existing methods mainly focus on utilizing LLMs to solve…

Optimization and Control · Mathematics 2025-03-18 Qitan Lv , Tianyu Liu , Hong Wang

Large Language Models (LLMs) have revolutionized various domains but encounter substantial challenges in tackling optimization modeling tasks for Operations Research (OR), particularly when dealing with complex problem. In this work, we…

Computation and Language · Computer Science 2025-06-24 Yang Wu , Yifan Zhang , Yurong Wu , Yuran Wang , Junkai Zhang , Jian Cheng

Since the advent of GPT, large language models (LLMs) have brought about revolutionary advancements in all walks of life. As a superior natural language processing (NLP) technology, LLMs have consistently achieved state-of-the-art…

Networking and Internet Architecture · Computer Science 2024-06-26 Danshi Wang , Yidi Wang , Xiaotian Jiang , Yao Zhang , Yue Pang , Min Zhang

Optimization problems are prevalent across various scenarios. Formulating and then solving optimization problems described by natural language often requires highly specialized human expertise, which could block the widespread application…

Artificial Intelligence · Computer Science 2025-03-04 Caigao Jiang , Xiang Shu , Hong Qian , Xingyu Lu , Jun Zhou , Aimin Zhou , Yang Yu

Operations research (OR) uses mathematical models to enhance decision-making, but developing these models requires expert knowledge and can be time-consuming. Automated mathematical programming (AMP) has emerged to simplify this process,…

Artificial Intelligence · Computer Science 2025-01-29 Junxuan Li , Ryan Wickman , Sahil Bhatnagar , Raj Kumar Maity , Arko Mukherjee

Large language models (LLMs) have recently shown strong reasoning capabilities beyond traditional language tasks, motivating their use for numerical optimization. This paper presents LLMize, an open-source Python framework that enables…

Machine Learning · Computer Science 2026-01-06 M. Rizki Oktavian

With the rapid development of IT operations, it has become increasingly crucial to efficiently manage and analyze large volumes of data for practical applications. The techniques of Natural Language Processing (NLP) have shown remarkable…

Recent advances in large language models (LLMs) have accelerated research on automated optimization modeling. While real-world decision-making is inherently uncertain, most existing work has focused on deterministic optimization with known…

Machine Learning · Computer Science 2025-11-18 WenZhuo Zhu , Zheng Cui , Wenhan Lu , Sheng Liu , Yue Zhao

LLM-based solvers have emerged as a promising means of automating problem modeling and solving. However, they remain unreliable and often depend on iterative repair loops that result in significant latency. We introduce OptiHive, a…

Artificial Intelligence · Computer Science 2025-11-18 Maxime Bouscary , Saurabh Amin