Chain-of-Context Learning: Dynamic Constraint Understanding for Multi-Task VRPs
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Abstract (arXiv)
Multi-task Vehicle Routing Problems (VRPs) aim to minimize routing costs while satisfying diverse constraints. Existing solvers typically adopt a unified reinforcement learning (RL) framework to learn generalizable patterns across tasks. However, they often overlook the constraint and node dynamics during the decision process, making the model fail to accurately react to the current context. To address this limitation, we propose Chain-of-Context Learning (CCL), a novel framework that progressively captures the evolving context to guide fine-grained node adaptation. Specifically, CCL constructs step-wise contextual information via a Relevance-Guided Context Reformulation (RGCR) module, which adaptively prioritizes salient constraints. This context then guides node updates through a Trajectory-Shared Node Re-embedding (TSNR) module, which aggregates shared node features from all trajectories' contexts and uses them to update inputs for the next step. By modeling evolving preferences of the RL agent, CCL captures step-by-step dependencies in sequential decision-making. We evaluate CCL on 48 diverse VRP variants, including 16 in-distribution and 32 out-of-distribution (with unseen constraints) tasks. Experimental results show that CCL performs favorably against the state-of-the-art baselines, achieving the best performance on all in-distribution tasks and the majority of out-of-distribution tasks.
Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 49 of its 73 references that are in the map. First posted on arXiv 2 Mar 2026.
Builds on
49 of 73 references.
References · 49
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2019Root Mean Square Layer Normalizationcited by 1,425
- 2018Attention, Learn to Solve Routing Problems!cited by 646
- 2018Machine Learning for Combinatorial Optimization: a Methodological Tour d'Horizoncited by 612
- 2020POMO: Policy Optimization with Multiple Optima for Reinforcement Learningcited by 341
- 2018Reinforcement Learning for Solving the Vehicle Routing Problemcited by 327
- 2019An Efficient Graph Convolutional Network Technique for the Travelling Salesman Problemcited by 265
- 2023DIFUSCO: Graph-based Diffusion Solvers for Combinatorial Optimizationcited by 216
- 2019Learning Improvement Heuristics for Solving Routing Problemscited by 162
- 2023Neural Combinatorial Optimization with Heavy Decoder: Toward Large Scale Generalizationcited by 140
- 2022Sym-NCO: Leveraging Symmetricity for Neural Combinatorial Optimizationcited by 118
- 2019Neural Large Neighborhood Search for the Capacitated Vehicle Routing Problemcited by 117
37 more
- 2021Learning to Delegate for Large-scale Vehicle Routingcited by 108
- 2021NeuroLKH: Combining Deep Learning Model with Lin-Kernighan-Helsgaun Heuristic for Solving the Traveling Salesman Problemcited by 102
- 2021Efficient Active Search for Combinatorial Optimization Problemscited by 99
- 2021Matrix Encoding Networks for Neural Combinatorial Optimizationcited by 89
- 2023GLOP: Learning Global Partition and Local Construction for Solving Large-scale Routing Problems in Real-timecited by 82
- 2023Learning to Search Feasible and Infeasible Regions of Routing Problems with Flexible Neural k-Optcited by 81
- 2023BQ-NCO: Bisimulation Quotienting for Efficient Neural Combinatorial Optimizationcited by 80
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Expertscited by 69
- 2023Towards Omni-generalizable Neural Methods for Vehicle Routing Problemscited by 68
- 2022Learning Generalizable Models for Vehicle Routing Problems via Knowledge Distillationcited by 61
- 2023Towards Generalizable Neural Solvers for Vehicle Routing Problems via Ensemble with Transferrable Local Policycited by 61
- 2022Winner Takes It All: Training Performant RL Populations for Combinatorial Optimizationcited by 57
- 2024RouteFinder: Towards Foundation Models for Vehicle Routing Problemscited by 54
- 2023PyVRP: a high-performance VRP solver packagecited by 50
- 2024Multi-Task Learning for Routing Problem with Cross-Problem Zero-Shot Generalizationcited by 49
- 2023Combinatorial Optimization with Policy Adaptation using Latent Space Searchcited by 41
- 2024GOAL: A Generalist Combinatorial Optimization Agent Learnercited by 39
- 2025Rethinking Light Decoder-based Solvers for Vehicle Routing Problemscited by 36
- 2021Heterogeneous Attentions for Solving Pickup and Delivery Problem via Deep Reinforcement Learningcited by 35
- 2021Generalization of Neural Combinatorial Solvers Through the Lens of Adversarial Robustnesscited by 35
- 2024PolyNet: Learning Diverse Solution Strategies for Neural Combinatorial Optimizationcited by 35
- 2024Self-Improvement for Neural Combinatorial Optimization: Sample without Replacement, but Improvementcited by 32
- 2020Deep Reinforcement Learning for Electric Vehicle Routing Problem with Time Windowscited by 25
- 2024Cross-Problem Learning for Solving Vehicle Routing Problemscited by 24
- 2024CaDA: Cross-Problem Routing Solver with Constraint-Aware Dual-Attentioncited by 23
- 2023Efficient Meta Neural Heuristic for Multi-Objective Combinatorial Optimizationcited by 21
- 2019A concise guide to existing and emerging vehicle routing problem variantscited by 17
- 2023Neural Multi-Objective Combinatorial Optimization with Diversity Enhancementcited by 13
- 2025Adversarial Generative Flow Network for Solving Vehicle Routing Problemscited by 10
- 2025RRNCO: Towards Real-World Routing with Neural Combinatorial Optimizationcited by 10
- 2024Collaboration! Towards Robust Neural Methods for Routing Problemscited by 9
- 2022Learning to Solve Multiple-TSP with Time Window and Rejections via Deep Reinforcement Learningcited by 8
- 2025CAMP: Collaborative Attention Model with Profiles for Vehicle Routing Problemscited by 8
- 2025Hybrid-Balance GFlowNet for Solving Vehicle Routing Problemscited by 7
- 2025Learning Constraints-Based Adaptive Hypergraph Neural Networks for Solving Vehicle Routing Problemscited by 3
- 2025UniCO: Towards a Unified Model for Combinatorial Optimization Problemscited by 2
- 2025USPR: Learning a Unified Solver for Profiled Routingcited by 1
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Citing papers per year: 2026: 2.
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