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INViT: A Generalizable Routing Problem Solver with Invariant Nested View Transformer

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Recently, deep reinforcement learning has shown promising results for learning fast heuristics to solve routing problems. Meanwhile, most of the solvers suffer from generalizing to an unseen distribution or distributions with different scales. To address this issue, we propose a novel architecture, called Invariant Nested View Transformer (INViT), which is designed to enforce a nested design together with invariant views inside the encoders to promote the generalizability of the learned solver. It applies a modified policy gradient algorithm enhanced with data augmentations. We demonstrate that the proposed INViT achieves a dominant generalization performance on both TSP and CVRP problems with various distributions and different problem scales.

Han Fang, Zhihao Song, Paul Weng, Yutong Ban• 2024

Related benchmarks

TaskDatasetResultRank
Capacitated Vehicle Routing ProblemCVRPLib Set X
Average Optimality Gap7.06
114
Capacitated Vehicle Routing ProblemCVRP N=100
Objective Value16.452
95
Traveling Salesman ProblemTSP 1K (test)
Length24.5
45
Traveling Salesman ProblemUniform-TSP1000
Optimality Gap5.99
44
Traveling Salesperson ProblemTSPLIB pr2392
Optimality Gap (%)8.12
36
Traveling Salesperson ProblemTSPLIB pr1002
Optimality Gap10.55
36
Traveling Salesman ProblemTSP5K generated
Tour Length54.19
32
Traveling Salesman ProblemTSP 10,000 randomly generated instances (test)
Cost76.09
29
Traveling Salesman ProblemEuclidean TSP n=500 Uniform distribution in unit square (test)
Tour Length17.392
27
Traveling Salesman ProblemEuclidean TSP n=100 Uniform distribution in unit square (test)
Tour Length7.907
27
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