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We present a framework for training trustworthy large language model (LLM) agents for optimization modeling via a verifiable synthetic data generation pipeline. Focusing on linear and mixed-integer linear programming, our approach begins…

Artificial Intelligence · Computer Science 2025-08-06 Vinicius Lima , Dzung T. Phan , Jayant Kalagnanam , Dhaval Patel , Nianjun Zhou

With dramatic improvements in optimization software, the solution of large-scale problems that seemed intractable decades ago are now a routine task. This puts even more real-world applications into the reach of optimizers. At the same…

Optimization and Control · Mathematics 2023-03-07 Marc Goerigk , Michael Hartisch

In real-world routing problems, users often propose conflicting or unreasonable requirements, which result in infeasible optimization models due to overly restrictive or contradictory constraints, leading to an empty feasible solution set.…

Artificial Intelligence · Computer Science 2025-08-06 Kai Li , Ruihao Zheng , Xinye Hao , Zhenkun Wang

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

The Natural Language for Optimization (NL4Opt) Competition was created to investigate methods of extracting the meaning and formulation of an optimization problem based on its text description. Specifically, the goal of the competition is…

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.…

Recent studies have demonstrated promising performance of ChatGPT and GPT-4 on several medical domain tasks. However, none have assessed its performance using a large-scale real-world electronic health record database, nor have evaluated…

Computation and Language · Computer Science 2023-07-18 Jingqing Zhang , Kai Sun , Akshay Jagadeesh , Mahta Ghahfarokhi , Deepa Gupta , Ashok Gupta , Vibhor Gupta , Yike Guo

Large language models (LLMs) have exhibited remarkable capabilities across various domains. The ability to call external tools further expands their capability to handle real-world tasks. However, LLMs often follow an opaque reasoning…

Machine Learning · Computer Science 2025-11-20 Ruixin Zhang , Jon Donnelly , Zhicheng Guo , Ghazal Khalighinejad , Haiyang Huang , Alina Jade Barnett , Cynthia Rudin

With the widespread deployment of large language models (LLMs) such as GPT4, BART, and LLaMA, the need for a system that can intelligently select the most suitable model for specific tasks while balancing cost, latency, accuracy, and…

Machine Learning · Computer Science 2025-02-25 Deepak Babu Piskala , Vijay Raajaa , Sachin Mishra , Bruno Bozza

Optimization is as much about modeling the right problem as solving it. Identifying the right objectives, constraints, and trade-offs demands extensive interaction between researchers and stakeholders. Large language models can empower…

Artificial Intelligence · Computer Science 2026-04-06 Joshua Drossman , Alexandre Jacquillat , Sébastien Martin

Over the last few decades, researchers have made considerable efforts to make decision support more accessible for small and medium enterprises by reducing the cost of designing, developing and maintaining automated decision support…

Software Engineering · Computer Science 2025-04-07 Daniel Karapetyan

Significantly simplifying the creation of optimization models for real-world business problems has long been a major goal in applying mathematical optimization more widely to important business and societal decisions. The recent…

Artificial Intelligence · Computer Science 2024-02-27 Segev Wasserkrug , Leonard Boussioux , Dick den Hertog , Farzaneh Mirzazadeh , Ilker Birbil , Jannis Kurtz , Donato Maragno

Recent advancements in Chain-of-Thoughts (CoT) and Program-of-Thoughts (PoT) methods have greatly enhanced language models' mathematical reasoning capabilities, facilitating their integration into instruction tuning datasets with LLMs.…

Machine Learning · Computer Science 2024-08-15 Bo-Wen Zhang , Yan Yan , Lin Li , Guang Liu

Effective prioritization of issue reports is crucial in software engineering to optimize resource allocation and address critical problems promptly. However, the manual classification of issue reports for prioritization is laborious and…

Software Engineering · Computer Science 2024-01-10 Gabriel Aracena , Kyle Luster , Fabio Santos , Igor Steinmacher , Marco A. Gerosa

Healthcare systems around the world are grappling with issues like inefficient diagnostics, rising costs, and limited access to specialists. These problems often lead to delays in treatment and poor health outcomes. Most current AI and deep…

Artificial Intelligence · Computer Science 2025-12-22 Maliha Tabassum , M Shamim Kaiser

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

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

Natural language understanding is one of the most challenging topics in artificial intelligence. Deep neural network methods, particularly large language module (LLM) methods such as ChatGPT and GPT-3, have powerful flexibility to adopt…

Computation and Language · Computer Science 2023-04-24 Xiaolin Hu

Optimization modeling underpins decision-making in logistics, manufacturing, energy, and finance, yet translating natural-language requirements into correct optimization formulations and solver-executable code remains labor-intensive.…

Machine Learning · Computer Science 2026-05-27 Zhong Li , Hongliang Lu , Tao Wei , Yuxuan Chen , Wenyu Liu , Yuan Lan , Fan Zhang , Zaiwen Wen

Operation management problems (such as Production Planning and Scheduling) are represented and formulated as optimization models. The resolution of such optimization models leads to solutions which have to be operated in an organization.…

Artificial Intelligence · Computer Science 2015-11-19 Oumaima Khaled