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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 2024-02-16 Ali AhmadiTeshnizi , Wenzhi Gao , Madeleine Udell

Optimization problems are pervasive across various 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, as the…

Artificial Intelligence · Computer Science 2023-11-01 Ali AhmadiTeshnizi , Wenzhi Gao , Madeleine Udell

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

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

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

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

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

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

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.…

Optimization algorithms and large language models (LLMs) enhance decision-making in dynamic environments by integrating artificial intelligence with traditional techniques. LLMs, with extensive domain knowledge, facilitate intelligent…

Neural and Evolutionary Computing · Computer Science 2024-05-17 Sen Huang , Kaixiang Yang , Sheng Qi , Rui Wang

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 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

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

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 models developed by operations research (OR) experts are often deployed as decision-support systems in industrial settings. However, real-world environments are dynamic, with evolving business rules and unforeseen…

Artificial Intelligence · Computer Science 2026-05-28 Tinghan Ye , Arnaud Deza , Ved Mohan , El Mehdi Er Raqabi , Pascal Van Hentenryck

The rapid evolution of Large Language Models (LLMs) has markedly expanded their application across diverse domains, transforming how complex problems are approached and solved. Initially conceived to predict subsequent words in texts, these…

Artificial Intelligence · Computer Science 2024-07-11 Sumedh Rasal , E. J. Hauer

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 shown notable potential in code generation for optimization algorithms, unlocking exciting new opportunities. This paper examines how LLMs, rather than creating algorithms from scratch, can improve existing…

Artificial Intelligence · Computer Science 2025-07-22 Camilo Chacón Sartori , Christian Blum
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