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Asymmetric Traveling Salesperson Problem on ATSP N=1000 Generalization (128 instances)

0Optimality GapLKH
-9.996457.4793124.955192.4307Jan 9, 2023Jul 19, 2023Jan 27, 2024Aug 5, 2024Feb 13, 2025Aug 23, 2025Mar 3, 2026

Evaluation results

MethodLinks
LKH2023.0109.4—
LKH-100Time=21.92m2026.030—1.5739
RADARTime=11.57m, z-score normalization=true2026.034.13—1.6389
BQ-GCN-transformer bs16decoding=beam search, beam size=16, backbone=GCN-Transformer2023.018.267—
BQ-GCN-transformer Gdecoding=greedy, backbone=GCN-Transformer2023.0111.5914—
ELGTime=22.31m, z-score normalization=true2026.0317.17—1.8441
ReLDTime=12.18m, z-score normalization=true2026.0331.67—2.0723
Matnet-Single (Random)Time=11.11m, z-score normalization=true2026.0338.64—2.1821
GLOPTime=7.29m, z-score normalization=true2026.0348.86—2.3429
ICAMTime=9.80m, z-score normalization=true2026.0384.69—2.9069
UDC-x250Time=19.12h, alpha=50, z-score normalization=true2026.0395.27—3.0734
MatPOENet-8xTime=2.98h, authors official checkpoints=true2026.03249.91—5.5072
LKH-1000Time=1.71h2026.03——1.5739