Natural Language to Optimization Modeling

Overview

The field studies how to turn written or multimodal requirements into decision variables, objectives, constraints, and executable models for operations research solvers. Approaches include structured intermediate representations and domain-specific languages, retrieval-augmented generation, multi-agent refinement, and post-training with solver execution or verification feedback. Benchmarks such as NL4OPT, MAMO, and IndustryOR test formulation accuracy and executability, while newer evaluations probe harder domains, industrial workflows, and computational efficiency. A central challenge is that code can run or match an objective value yet still misrepresent the intended constraints, especially when requirements are ambiguous or data must be grounded correctly.

Latest papers

CardsList

76 papers14 papers in the last four weeks, up 40% on the four weeks before. 0.1% of all new papers.

  1. Harnessing Language Models as Optimization Modeling Agents

    Oct 22, 2026Yunxiang Luo, Xin Xu, Tianhao Chen +7Large Language Model-Guided OptimizationNatural Language to Optimization Modeling

  2. ORSMT: Unleashing the Potential of Satisfiability Modulo Theories for Semantic Verification and Repair in LLM-Based Optimization

    Oct 21, 2026Rui Zhang, Chenyu Zhou, Jianghao Lin +3Large Language Model-Guided OptimizationNatural Language to Optimization Modeling

  3. Agentic AI-Assisted Modeling for Production Scheduling: Assessment in Constraint Programming

    Oct 7, 2026Ángel Sánchez-Fernández, Javier Pernas-Álvarez, Diego Crespo-PereiraNatural Language to Optimization ModelingCombinatorial Optimization

  4. NL2Hull: A Natural Language-Driven Constrained Ship Design Decision Framework

    Oct 7, 2026Wenhua Huo, Fenglei Han, Wangyuan Zhao +23D Shape EditingNatural Language to Optimization Modeling

  5. AbsorbEvo: An Agentic Framework for Autonomous Inverse Design of Microwave Absorbers

    Oct 1, 2026Zhicheng Feng, Yubo Zhao, Xuefeng YaoLarge Language Model-Guided OptimizationNatural Language to Optimization Modeling

  6. OR for AI That Does OR: Routing LLMs up the Escalator inside the OSCAR Framework

    Oct 1, 2026Jinzhi Bu, Haixin Tang, Huanan ZhangLarge Language Model-Guided OptimizationOptimal Stopping

  7. Right Answers, Costly Models: The Efficiency Gap in LLM-based Optimization Modeling

    Sep 30, 2026Zhong Li, Xin Huang, Jinhui Wan +6LLM EvaluationLarge Language Model-Guided Optimization

  8. SemOPT: Fixing Semantic Errors in LLM-based Optimization Modeling via Reward-Guided Search

    Sep 29, 2026Zetong Zhou, Wentao Zhang, Jingyuan Wang +3Language Model Error DetectionLarge Language Model-Guided Optimization

  9. Teaching LLMs to Generate Challenging MILP Instances via Solver Feedback

    Sep 29, 2026Jitin Singla, Parikshit Pareek, Pratik Jawanpuria +1Mixed-Integer Linear ProgrammingLarge Language Model-Guided Optimization

  10. Learning to Optimize through Solver-Grounded Self-Play

    Sep 28, 2026Xia Jiang, Yaoxin Wu, Chenyu Zhou +3Self-Play RLNatural Language to Optimization Modeling

  11. Large Language Models for Model-Based Robot Design

    Sep 27, 2026Andrew Wilhelm, Angelina Zhou, Nils NappLarge Language Model-Guided OptimizationRobotics

  12. OptiSkill: A Hierarchical and Evolving SkillBank for LLM-Based Optimization Modeling

    Sep 19, 2026Ruiqing Zhao, Rui Liu, Yuan Zuo +3Large Language Model-Guided OptimizationNatural Language to Optimization Modeling

  13. little m: An AI Agent for Industrial Process Optimization

    Sep 15, 2026Yongchao Ye, Xinyu He, Dutliff Boshoff +2Large Language Model-Guided OptimizationMultimodal Reasoning

  14. SAILOR: Solver-Assisted Interactive LLM-based Optimization Recovery

    Sep 12, 2026Shaghayegh Sadeghi, Stephen L. Smith, David C. Del Rey Fern'andezLarge Language Model-Guided OptimizationNatural Language to Optimization Modeling

  15. GenOR-Twin: A Semantic Middleware for Integrating Operational Discourse with Mathematical Optimization

    Sep 11, 2026Rahimeh Neamatian Monemi, Shahin Gelareh, Lubin Cui +1Large Language Model-Guided OptimizationDigital Twins

  16. MAPLE: Memory-Augmented Planning with Language and Evolution

    Sep 10, 2026Kesheng Chen, Yamin Hu, Wenjian LuoNatural Language to Optimization ModelingMemory-Augmented Agents

  17. Beyond Verified Answers: Solver-Informed Self-Distillation for Bootstrapping Operations Research Language Models

    Sep 9, 2026Rui Zhu, Minglong Cao, Chenyu Zhou +2RL for Language ModelsLarge Language Model-Guided Optimization

  18. QuantumQUBO Agent: Automating Quadratic Unconstrained Binary Optimization (QUBO) Formulation Generation from Natural Language

    Sep 9, 2026Niloy Kumar Mondal, Md Rizwan ParvezMulti-Agent LLM SystemsLarge Language Model-Guided Optimization

  19. Ask Before You Optimize: Dynamic Pre-Formulation Clarification for Interactive Optimization

    Sep 4, 2026Sihan Ge, Yichen Lin, Chenyu Zhou +3Large Language Model-Guided OptimizationLLM Agent Evaluation

  20. Reinforcement Learning Enhanced LLM Agents for Complex Vehicle Routing Problems

    Sep 1, 2026Yi Chen, Zikang Yu, Jiahai Wang +3Multi-Agent System OptimizationLLM-Guided RL

  21. Improving Natural-Language Combinatorial-Optimization Accuracy in Resource-Constrained Language Models via Formal Abstractions

    Aug 19, 2026Shrenil Shaun Sharma, Avi SharmaLarge Language Model-Guided OptimizationCombinatorial Optimization

  22. Not All Problems Are Best Modeled as MILP: A DSL-Centric Framework for Flexible and Accurate Optimization Modeling

    Aug 7, 2026Shaofeng Zhang, Hongyuan Su, Qingwen Peng +4Mixed-Integer Linear ProgrammingLarge Language Model-Guided Optimization

  23. ModelEquivBench: Certifying Multi-Relational Evaluation of LLM-Generated Optimization Models

    Jul 31, 2026Penglin Zhu, Jungang XuLLM EvaluationPairwise Comparison

  24. IR2Solve: Structured Intermediate Representations for Cost-Efficient Optimization Autoformulation

    Jul 31, 2026Penglin Zhu, Linhai Zhang, Jungang Xu +2LLM Inference EfficiencyNatural Language to Optimization Modeling

  25. Search Hardness-Aware LLM-Based Problem Formulation for Expensive Simulation-Driven Design

    Jul 23, 2026Yuchen Li, Handing Wang, Bing Xue +1Black-Box OptimizationLarge Language Model-Guided Optimization