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RouteFinder: Towards Foundation Models for Vehicle Routing Problems

About

This paper introduces RouteFinder, a comprehensive foundation model framework to tackle different Vehicle Routing Problem (VRP) variants. Our core idea is that a foundation model for VRPs should be able to represent variants by treating each as a subset of a generalized problem equipped with different attributes. We propose a unified VRP environment capable of efficiently handling any combination of these attributes. The RouteFinder model leverages a modern transformer-based encoder and global attribute embeddings to improve task representation. Additionally, we introduce two reinforcement learning techniques to enhance multi-task performance: mixed batch training, which enables training on different variants at once, and multi-variant reward normalization to balance different reward scales. Finally, we propose efficient adapter layers that enable fine-tuning for new variants with unseen attributes. Extensive experiments on 48 VRP variants show RouteFinder outperforms recent state-of-the-art learning methods. Our code is publicly available at https://github.com/ai4co/routefinder.

Federico Berto, Chuanbo Hua, Nayeli Gast Zepeda, Andr\'e Hottung, Niels Wouda, Leon Lan, Junyoung Park, Kevin Tierney, Jinkyoo Park• 2024

Related benchmarks

TaskDatasetResultRank
Vehicle Routing ProblemOCVRP 48 standard 100-node benchmark instances
Objective Value10.18
18
Vehicle Routing ProblemCVRP N=50
Computation Time (m)0.03
12
Vehicle Routing ProblemCVRP 48 standard 100-node benchmark instances
Objective Value15.91
12
Vehicle Routing ProblemOVRP n=100
Time (m)10
12
Vehicle Routing ProblemVRPB n=50
Computation Time (min)1
12
Vehicle Routing ProblemOCVRP n=100
Objective Value10.18
12
Asymmetric Vehicle Routing ProblemAVRP 500 customers
Objective Value41.52
9
Asymmetric Vehicle Routing ProblemAVRP 1K customers
Objective Value48.3
9
Vehicle Routing Problem with Time WindowsVRPTW 100 customers
Objective Value26.8
8
Vehicle Routing Problem with Time WindowsVRPTW 500 customers
Objective Value91.2
8
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