Large Language Models for Combinatorial Optimization: A Systematic Review

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Authors: Francesca Da Ros, Michael Soprano, Luca Di Gaspero, Kevin Roitero
Cited by: 9
References: 188

Abstract

This systematic review explores the application of Large Language Models (LLMs) in Combinatorial Optimization (CO). We report our findings using the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) guidelines. We conduct a literature search via Scopus and Google Scholar, examining over 2,000 publications. We assess publications against four inclusion and four exclusion criteria related to their language, research focus, publication year, and type. Eventually, we select 103 studies. We classify these studies into semantic categories and topics to provide a comprehensive overview of the field, including the tasks performed by LLMs, the architectures of LLMs, the existing datasets specifically designed for evaluating LLMs in CO, and the field of application. Finally, we identify future directions for leveraging LLMs in this field.

Fields of Study & Subjects

Topic Modeling Natural Language Processing Techniques

Publication details

Journal / source
ACM Computing Surveys
Publisher
Association for Computing Machinery (ACM)
Volume
58
Issue
11
Pages
1–53
Publication date
16 March 2026
Language
EN