| 2023.07 | Large Language Models for Supply Chain Optimization |  | Supply_Chain | arXiv | Algorithm w. Interpretability |
| 2023.09 | Can Language Models Solve Graph Problems in Natural Language? | | Graph | NeurIPS 2023 | Solution |
| 2023.09 | Large Language Models as Optimizers | | TSP | ICLR 2024 | Solution |
| 2023.10 | Chain-of-Experts: When LLMs Meet Complex Operations Research Problems | | MILP | ICLR 2024 | Formulation |
| 2023.10 | OptiMUS: Scalable Optimization Modeling with (MI)LP Solvers and Large Language Models | | MILP | ICML 2024 | Formulation |
| 2023.10 | AI-Copilot for Business Optimisation: A Framework and A Case Study in Production Scheduling | | JSSP | arXiv | Formulation |
| 2023.11 | Large Language Models as Evolutionary Optimizers | | TSP | CEC 2024 | Solution |
| 2023.11 | Algorithm Evolution Using Large Language Model | | TSP | arXiv | Algorithm |
| 2023.12 | Mathematical discoveries from program search with large language models | | BPP | Nature | Algorithm |
| 2024.02 | ReEvo: Large Language Models as Hyper-Heuristics with Reflective Evolution | <br>  | TSP,VRP,OP, MKP,BPP,EDA | NeurIPS 2024 | Algorithm |
| 2024.02 | AutoSAT: Automatically Optimize SAT Solvers via Large Language Models | | SAT | arXiv | Algorithm |
| 2024.02 | From Large Language Models and Optimization to Decision Optimization CoPilot: A Research Manifesto | | MILP | arXiv | Formulation |
| 2024.03 | How Multimodal Integration Boost the Performance of LLM for Optimization: Case Study on Capacitated Vehicle Routing Problems | | VRP | arXiv | Solution |
| 2024.03 | RouteExplainer: An Explanation Framework for Vehicle Routing Problem | <br> | VRP | PAKDD 2024 | Interpretability |
| 2024.03 | Can Large Language Models Solve Robot Routing? | <br> | TSP,VRP | arXiv | Algorithm |
| 2024.05 | Evolution of Heuristics: Towards Efficient Automatic Algorithm Design Using Large Language Model | | TSP,BPP, FSSP | ICML 2024 | Algorithm |
| 2024.05 | ORLM: Training Large Language Models for Optimization Modeling | | General OPT | arXiv | Formulation |
| 2024.05 | Self-Guiding Exploration for Combinatorial Problems | | TSP,VRP,BPP, AP,KP,JSSP | NeurIPS 2024 | Solution |
| 2024.06 | Eyeballing Combinatorial Problems: A Case Study of Using Multimodal Large Language Models to Solve Traveling Salesman Problems | | TSP | arXiv | Solution |
| 2024.07 | Visual Reasoning and Multi-Agent Approach in Multimodal Large Language Models (MLLMs): Solving TSP and mTSP Combinatorial Challenges | | TSP,mTSP | arXiv | Solution |
| 2024.07 | Solving General Natural-Language-Description Optimization Problems with Large Language Models |  | MILP | NAACL 2024 | Formulation |
| 2024.08 | Diagnosing Infeasible Optimization Problems Using Large Language Models | | MILP | INFOR | Formulation |
| 2024.08 | LLMs can Schedule | | JSSP | arXiv | Solution |
| 2024.09 | Multi-objective Evolution of Heuristic Using Large Language Model | | TSP,BPP | arXiv | Algorithm |
| 2024.10 | Towards Foundation Models for Mixed Integer Linear Programming | | MILP | arXiv | Formulation |
| 2024.10 | LLMOPT: Learning to Define and Solve General Optimization Problems from Scratch | | General OPT | arXiv | Formulation |
| 2024.10 | Large Language Model-driven Large Neighborhood Search for Large-Scale MILP Problems | | MILP | Under Review | Algorithm |
| 2024.10 | HeurAgenix: A Multi-Agent LLM-Based Paradigm for Adaptive Heuristic Evolution and Selection in Combinatorial Optimization | | TSP,CVRP,JSSP, MaxCut,MKP | Under Review | Algorithm |
| 2024.10 | Efficient Heuristics Generation for Solving Combinatorial Optimization Problems Using Large Language Models | | TSP,CVRP, BPP,MKP | Under Review | Algorithm |
| 2024.10 | OptiBench: Benchmarking Large Language Models in Optimization Modeling with Equivalence-Detection Evaluation | | MILP | Under Review | Benchmark |
| 2024.10 | OptiBench Meets ReSocratic: Measure and Improve LLMs for Optimization Modeling | | MILP | Under Review | Benchmark |
| 2024.10 | DRoC: Elevating Large Language Models for Complex Vehicle Routing via Decomposed Retrieval of Constraints | | 48VRPs | Under Review | Formulation |
| 2024.10 | STARJOB: Dataset for LLM-Driven Job Shop Scheduling | | JSSP | Under Review | Solution |
| 2024.10 | LLM4Solver: Large Language Model for Efficient Algorithm Design of Combinatorial Optimization Solver | | MILP | Under Review | Algorithm |
| 2024.10 | Unifying All Species: LLM-based Hyper-Heuristics for Multi-objective Optimization | | TSP | Under Review | Algorithm |
| 2024.10 | Evo-Step: Evolutionary Generation and Stepwise Validation for Optimizing LLMs in OR | | MILP | Under Review | Formulation |
| 2024.10 | Automatic programming via large language models with population self-evolution for dynamic job shop scheduling problem | | DyJSSP | arXiv | Algorithm |
| 2024.11 | Large Language Models for Combinatorial Optimization of Design Structure Matrix | | DSM | arXiv | Solution |
| 2024.12 | HSEvo: Elevating Automatic Heuristic Design with Diversity-Driven Harmony Search and Genetic Algorithm Using LLMs | | TSP,BPP,OP | arXiv | Algorithm |