Neural Combinatorial Optimization Algorithms for Solving Vehicle Routing Problems: A Comprehensive Survey with Perspectives

X Wu, D Wang, L Wen, Y Xiao, C Wu, Y Wu… - arXiv preprint arXiv …, 2024 - arxiv.org
Although several surveys on Neural Combinatorial Optimization (NCO) solvers specifically
designed to solve Vehicle Routing Problems (VRPs) have been conducted. These existing …

Rl4co: an extensive reinforcement learning for combinatorial optimization benchmark

F Berto, C Hua, J Park, L Luttmann, Y Ma, F Bu… - arXiv preprint arXiv …, 2023 - arxiv.org
We introduce RL4CO, an extensive reinforcement learning (RL) for combinatorial
optimization (CO) benchmark. RL4CO employs state-of-the-art software libraries as well as …

MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Experts

J Zhou, Z Cao, Y Wu, W Song, Y Ma, J Zhang… - arXiv preprint arXiv …, 2024 - arxiv.org
Learning to solve vehicle routing problems (VRPs) has garnered much attention. However,
most neural solvers are only structured and trained independently on a specific problem …

Learning encodings for constructive neural combinatorial optimization needs to regret

R Sun, Z Zheng, Z Wang - Proceedings of the AAAI Conference on …, 2024 - ojs.aaai.org
Abstract Deep-reinforcement-learning (DRL) based neural combinatorial optimization (NCO)
methods have demonstrated efficiency without relying on the guidance of optimal solutions …

PolyNet: Learning diverse solution strategies for neural combinatorial optimization

A Hottung, M Mahajan, K Tierney - arXiv preprint arXiv:2402.14048, 2024 - arxiv.org
Reinforcement learning-based methods for constructing solutions to combinatorial
optimization problems are rapidly approaching the performance of human-designed …

Moco: A Learnable Meta Optimizer for Combinatorial Optimization

T Dernedde, D Thyssens, S Dittrich… - arXiv preprint arXiv …, 2024 - arxiv.org
Relevant combinatorial optimization problems (COPs) are often NP-hard. While they have
been tackled mainly via handcrafted heuristics in the past, advances in neural networks …

Self-Improvement for Neural Combinatorial Optimization: Sample without Replacement, but Improvement

J Pirnay, DG Grimm - arXiv preprint arXiv:2403.15180, 2024 - arxiv.org
Current methods for end-to-end constructive neural combinatorial optimization usually train
a policy using behavior cloning from expert solutions or policy gradient methods from …

Tackling Prevalent Conditions in Unsupervised Combinatorial Optimization: Cardinality, Minimum, Covering, and More

F Bu, H Jo, SY Lee, S Ahn, K Shin - arXiv preprint arXiv:2405.08424, 2024 - arxiv.org
Combinatorial optimization (CO) is naturally discrete, making machine learning based on
differentiable optimization inapplicable. Karalias & Loukas (2020) adapted the probabilistic …

A Unified Framework for Combinatorial Optimization Based on Graph Neural Networks

Y Jin, X Yan, S Liu, X Wang - arXiv preprint arXiv:2406.13125, 2024 - arxiv.org
Graph neural networks (GNNs) have emerged as a powerful tool for solving combinatorial
optimization problems (COPs), exhibiting state-of-the-art performance in both graph …

Collaboration! Towards Robust Neural Methods for Routing Problems

J Zhou, Y Wu, Z Cao, W Song, J Zhang… - arXiv preprint arXiv …, 2024 - arxiv.org
Despite enjoying desirable efficiency and reduced reliance on domain expertise, existing
neural methods for vehicle routing problems (VRPs) suffer from severe robustness issues …