用视觉语言模型指导求解大规模旅行商问题,不需训练就能高效出解。
ViTSP: A Vision Language Models Guided Framework for Solving Large-Scale Traveling Salesman Problems
- 用预训练视觉语言模型从地图中识别有希望的局部子问题
- 在1000到88000个节点上平均最优性差距仅0.24%
- 无需用户训练,适合部署于复杂物流系统
求解旅行商问题(TSP)是NP难问题,但广泛应用于现实场景。传统精确方法难以扩展,启发式方法常需领域调参。基于学习的方法虽有潜力,却因固定训练数据导致泛化性差、可扩展性有限。本文提出ViTSP,利用预训练视觉语言模型(VLMs)对大规模TSP实例进行可视化引导,识别出有前景的小规模子问题,再交由现成求解器高效优化,从而提升全局解质量。该框架无需用户端专门训练,仍能在多样实例上保持高效。在真实世界1000至88000个节点的TSP实例上实验表明,其平均最优性差距仅为0.24%,优于现有学习方法。在相同运行时间下,相较最优启发式求解器LKH-3,其差距降低3.57%至100%,尤其在超大规模实例(>10,000节点)上表现显著。本框架为生成式模型与运筹学求解器融合提供了新思路,具有集成到复杂物流系统的潜力。代码已公开于https://github.itap.purdue.edu/uSMART/ViTSP_ICLR2026。
原文摘要 · Abstract (English)
Solving the Traveling Salesman Problem (TSP) is NP-hard yet fundamental for a wide range of real-world applications. Classical exact methods face challenges in scaling, and heuristic methods often require domain-specific parameter calibration. While learning-based approaches have shown promise, they suffer from poor generalization and limited scalability due to fixed training data. This work proposes ViTSP, a novel framework that leverages pre-trained vision language models (VLMs) to visually guide the solution process for large-scale TSPs. The VLMs function to identify promising small-scale subproblems from a visualized TSP instance, which are then efficiently optimized using an off-the-shelf solver to improve the global solution. ViTSP bypasses the dedicated model training at the user end while maintaining effectiveness across diverse instances. Experiments on real-world TSP instances ranging from 1k to 88k nodes demonstrate that ViTSP consistently achieves solutions with average optimality gaps of 0.24%, outperforming existing learning-based methods. Under the same runtime budget, it surpasses the best-performing heuristic solver, LKH-3, by reducing its gaps by 3.57% to 100%, particularly on very-large-scale instances with more than 10k nodes. Our framework offers a new perspective in hybridizing pre-trained generative models and operations research solvers in solving combinatorial optimization problems. The framework holds potential for integration into more complex real-world logistics systems. The code is available at https://github.itap.purdue.edu/uSMART/ViTSP_ICLR2026.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。