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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

Query optimization is a critical task in database systems, focused on determining the most efficient way to execute a query from an enormous set of possible strategies. Traditional approaches rely on heuristic search methods and cost…

Databases · Computer Science 2025-03-11 Zhiming Yao , Haoyang Li , Jing Zhang , Cuiping Li , Hong Chen

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

While large language models (LLMs) have recently demonstrated strong potential in solving planning problems, there is a trade-off between flexibility and complexity. LLMs, as zero-shot planners themselves, are still not capable of directly…

Artificial Intelligence · Computer Science 2025-07-10 Yilun Hao , Yang Zhang , Chuchu Fan

Optimization modeling underlies critical decision-making across industries, yet remains difficult to automate: natural-language problem descriptions must be translated into precise mathematical formulations and executable solver code.…

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

Despite recent advancements, most computational methods for molecule optimization are constrained to single- or double-property optimization tasks and suffer from poor scalability and generalizability to novel optimization tasks. Meanwhile,…

Machine Learning · Computer Science 2025-05-28 Vishal Dey , Xiao Hu , Xia Ning

Automated code optimization aims to improve performance in programs by refactoring code, and recent studies focus on utilizing LLMs for the optimization. Typical existing approaches mine optimization commits from open-source codebases to…

Software Engineering · Computer Science 2025-10-21 Yuwei Zhao , Yuan-An Xiao , Qianyu Xiao , Zhao Zhang , Yingfei Xiong

Recent research explores optimization using large language models (LLMs) by either iteratively seeking next-step solutions from LLMs or directly prompting LLMs for an optimizer. However, these approaches exhibit inherent limitations,…

Optimization and Control · Mathematics 2024-03-06 Zeyuan Ma , Hongshu Guo , Jiacheng Chen , Guojun Peng , Zhiguang Cao , Yining Ma , Yue-Jiao Gong

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

Mathematical optimization is fundamental to decision-making across diverse domains, from operations research to healthcare. Yet, translating real-world problems into optimization models remains a difficult task, often demanding specialized…

Machine Learning · Computer Science 2025-06-06 Nicolás Astorga , Tennison Liu , Yuanzhang Xiao , Mihaela van der Schaar

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

Business optimisation has been used extensively to determine optimal solutions for challenging business operations. Problem formulation is an important part of business optimisation as it influences both the validity of solutions and the…

Artificial Intelligence · Computer Science 2025-04-23 Pivithuru Thejan Amarasinghe , Su Nguyen , Yuan Sun , Damminda Alahakoon

This paper introduces a novel Large Language Models (LLMs)-assisted agent that automatically converts natural-language descriptions of power system optimization scenarios into compact, solver-ready formulations and generates corresponding…

Artificial Intelligence · Computer Science 2025-08-12 Yunkai Hu , Tianqiao Zhao , Meng Yue

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

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

Automatic software system optimization can improve software speed, reduce operating costs, and save energy. Traditional approaches to optimization rely on manual tuning and compiler heuristics, limiting their ability to generalize across…

Real-world path planning tasks typically involve multiple constraints beyond simple route optimization, such as the number of routes, maximum route length, depot locations, and task-specific requirements. Traditional approaches rely on…

Computation and Language · Computer Science 2026-03-23 Dylan Shim , Minghan Wei

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.…

Optimization problems are pervasive in sectors from manufacturing and distribution to healthcare. However, most such problems are still solved heuristically by hand rather than optimally by state-of-the-art solvers because the expertise…

Artificial Intelligence · Computer Science 2025-08-29 Ali AhmadiTeshnizi , Wenzhi Gao , Herman Brunborg , Shayan Talaei , Connor Lawless , Madeleine Udell
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