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arXiv 提交日期: 2026-05-14
📄 Abstract - A Unified Knowledge Embedded Reinforcement Learning-based Framework for Generalized Capacitated Vehicle Routing Problems

The Capacitated Vehicle Routing Problem (CVRP) is a fundamental NP-hard problem with broad applications in logistics and transportation. Real-world CVRPs often involve diverse objectives and complex constraints, such as time windows or backhaul requirements, motivating the development of a unified solution framework. Recent reinforcement learning (RL) approaches have shown promise in combinatorial optimization, yet they rely on end-to-end learning and lack explicit problem-solving knowledge, limiting solution quality. In this paper, we propose a knowledge-embedded framework inspired by the Route-First Cluster-Second heuristics. It incorporates knowledge at two levels: (1) decomposing CVRPs into the route-first and cluster-second subproblems, and (2) leveraging dynamic programming to solve the second subproblem, whose results guide the RL-based constructive solver to solve the first problem. To mitigate partial observability caused by problem decomposition, we introduce a unified history-enhanced context processing module. Extensive experiments show that this framework achieves superior solution quality compared with state-of-the-art learning-based methods, with a smaller gap to classical heuristics, demonstrating strong generalization across diverse CVRP variants.

顶级标签: reinforcement learning systems
详细标签: capacitated vehicle routing problem combinatorial optimization knowledge embedding dynamic programming generalization 或 搜索:

一种统一的知识嵌入强化学习框架:面向泛化容量车辆路径问题 / A Unified Knowledge Embedded Reinforcement Learning-based Framework for Generalized Capacitated Vehicle Routing Problems


1️⃣ 一句话总结

这篇论文提出了一种将路径优先、集群次优的启发式知识与强化学习相结合的通用框架,通过将复杂的车辆路径问题拆解为两个子问题并利用动态规划优化后一步,显著提升了学习方法的求解质量和对多种变体问题的泛化能力。

源自 arXiv: 2605.14416