Multi-Decoder Attention Model with Embedding Glimpse for Solving Vehicle Routing Problems
Liang Xin, Wen Song, Zhiguang Cao, Jie Zhang
Abstract
We present a novel deep reinforcement learning method to learn construction heuristics for vehicle routing problems. In specific, we propose a Multi-Decoder Attention Model (MDAM) to train multiple diverse policies, which effectively increases the chance of finding good solutions compared with existing methods that train only one policy. A customized beam search strategy is designed to fully exploit the diversity of MDAM. In addition, we propose an Embedding Glimpse layer in MDAM based on the recursive nature of construction, which can improve the quality of each policy by providing more informative embeddings. Extensive experiments on six different routing problems show that our method significantly outperforms the state-of-the-art deep learning based models.
Ask about this paper
Your agent reads all of it.
Lune indexed this paper to the last equation, along with the top-tier papers that cite it. Ask a question and the answer quotes them.
Your agent calls
Luneget_paper_fulltext
Free to start. No credit card required.
Terminal
Install the CLIlune papers fulltext 40c4c579-9b48-4eb7-b02b-6a57f456620aCited by top-tier papers54
- DIFUSCO: Graph-based Diffusion Solvers for Combinatorial OptimizationZhiqing Sun, Yiming YangNeurIPS 2023 · 356 citations
- Neural Combinatorial Optimization with Heavy Decoder: Toward Large Scale GeneralizationFu Luo, Xi Lin, Fei Liu, Qingfu Zhang et al.NeurIPS 2023 · 248 citations
- Learning to Iteratively Solve Routing Problems with Dual-Aspect Collaborative TransformerYining Ma, Jingwen Li, Zhiguang Cao, Wen Song et al.NeurIPS 2021 · 230 citations
- NeuroLKH: Combining Deep Learning Model with Lin-Kernighan-Helsgaun Heuristic for Solving the Traveling Salesman ProblemLiang Xin, Wen Song, Zhiguang Cao, Jie ZhangNeurIPS 2021 · 202 citations
- Sym-NCO: Leveraging Symmetricity for Neural Combinatorial OptimizationMinsu Kim, Junyoung Park, Jinkyoo ParkNeurIPS 2022 · 200 citations
Builds on1
Related papers
- Elite Pattern Reinforcement for Vehicle Routing ProblemsNing Li, Peng Lin, Peng Zhang, Ruichen TianAAAI 2026
- MTL-KD: Multi-Task Learning Via Knowledge Distillation for Generalizable Neural Vehicle Routing SolverYuepeng Zheng, Fu Luo, Zhenkun Wang, Yaoxin Wu et al.NeurIPS 2025 · 13 citations
- Diversity Optimization for Travelling Salesman Problem via Deep Reinforcement LearningQi Li, Zhiguang Cao, Yining Ma, Yaoxin Wu et al.KDD 2025 · 1 citation
- INViT: A Generalizable Routing Problem Solver with Invariant Nested View TransformerHan Fang, Zhihao Song, Paul Weng, Yutong BanICML 2024 · 39 citations
- CaDA: Cross-Problem Routing Solver with Constraint-Aware Dual-AttentionHan Li, Fei Liu, Zhi Zheng, Yu Zhang et al.ICML 2025
