让多个AI团队协作辩论,用记忆库持续优化求解方案。
From Soliloquy to Agora: Memory-Enhanced LLM Agents with Decentralized Debate for Optimization Modeling

- 多智能体分头建模,通过辩论协议协同优化
- 在多个公开基准上超越现有方法,零训练实现高精度
- 适合需要可靠求解的工业级优化场景
优化建模支撑物流、制造、能源等领域的实际决策,但当前大语言模型从自然语言需求中可靠求解仍具挑战。本文提出 extit{Agora-Opt},一种模块化智能体框架,结合去中心化辩论与读写记忆库。多个智能体团队可独立生成端到端求解方案,并通过结果导向的辩论协议进行协调;记忆库存储经求解器验证的成果及过往分歧解决记录,支持无训练迭代改进。该设计对模型底座和方法均具灵活性:降低模型锁定,兼容不同LLM家族,可轻量集成至现有流程。在多个公开基准上,Agora-Opt整体表现优于强零样本LLM、训练驱动方法及先前智能体基线。分析显示其在不同模型与组件配置下均具鲁棒性,且去中心化辩论相比集中选择具有结构优势——能通过交互精炼候选方案,甚至在初始全部错误时仍可恢复正确建模。结果表明,可靠的优化建模需融合协作交叉验证与可复用经验,为可信优化辅助提供实用且可扩展的基石。代码与数据见 https://github.com/CHIANGEL/Agora-Opt。
原文摘要 · Abstract (English)
Optimization modeling underpins real-world decision-making in logistics, manufacturing, energy, and public services, but reliably solving such problems from natural-language requirements remains challenging for current large language models (LLMs). In this paper, we propose \emph{Agora-Opt}, a modular agentic framework for optimization modeling that combines decentralized debate with a read-write memory bank. Agora-Opt allows multiple agent teams to independently produce end-to-end solutions and reconcile them through an outcome-grounded debate protocol, while memory stores solver-verified artifacts and past disagreement resolutions to support training-free improvement over time. This design is flexible across both backbones and methods: it reduces base-model lock-in, transfers across different LLM families, and can be layered onto existing pipelines with minimal coupling. Across public benchmarks, Agora-Opt achieves the strongest overall performance among all compared methods, outperforming strong zero-shot LLMs, training-centric approaches, and prior agentic baselines. Further analyses show robust gains across backbone choices and component variants, and demonstrate that decentralized debate offers a structural advantage over centralized selection by enabling agents to refine candidate solutions through interaction and even recover correct formulations when all initial candidates are flawed. These results suggest that reliable optimization modeling benefits from combining collaborative cross-checking with reusable experience, and position Agora-Opt as a practical and extensible foundation for trustworthy optimization modeling assistance. Our code and data are available at https://github.com/CHIANGEL/Agora-Opt.
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