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Asymmetric Traveling Salesperson Problem on ATSP N=500 Generalization (128 instances)

0Optimality GapLKH
-6.45237.09980.65124.201Jan 9, 2023Jul 19, 2023Jan 27, 2024Aug 5, 2024Feb 13, 2025Aug 23, 2025Mar 3, 2026

Evaluation results

MethodLinks
LKH2023.0102.3—
LKH-100Time=7.32m2026.030—1.5763
RADARTime=1.45m, z-score normalization=true2026.032.13—1.6098
BQ-GCN-transformer bs16decoding=beam search, beam size=16, backbone=GCN-Transformer2023.012.433—
BQ-GCN-transformer Gdecoding=greedy, backbone=GCN-Transformer2023.014.2212—
ELGTime=2.60m, z-score normalization=true2026.0310.74—1.7456
ReLDTime=1.49m, z-score normalization=true2026.0313.39—1.7873
Matnet-Single (Random)Time=1.34m, z-score normalization=true2026.0318.1—1.861
GLOPTime=3.72m, z-score normalization=true2026.0341.76—2.2345
UDC-x250Time=6.41h, alpha=50, z-score normalization=true2026.0351.05—2.381
ICAMTime=0.73m, z-score normalization=true2026.0356.01—2.4592
MatPOENet-8xTime=21.87m, authors official checkpoints=true2026.03161.3—4.1189
LKH-1000Time=44.45m2026.03——1.5763