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Capacitated Vehicle Routing Problem on CVRP N=100 10,000 instances (test)

15.56Objective ValueHGS
15.493215.944116.39516.8459Oct 6, 2021Jul 14, 2022Apr 21, 2023Jan 27, 2024Nov 3, 2024Aug 11, 2025May 20, 2026

Evaluation results

MethodLinks
HGSType=H, Post=-2026.0515.56————4.2
HGS2024.0515.563————24
LR+SGBS+EASBase Model=SGBS+EAS, Leader Reward=true2024.0515.5790.099———10
POMO+EAS+SGBS(long)Type=C/RL, Post=AS+BS2026.0515.580.1———4.1
SGBS+EAS2024.0515.5870.152———10
LR+SGBS+EAS(short)Base Model=SGBS+EAS, Search=short, Leader Reward=true2024.0515.5880.158———2
POMO+EAS+SGBS(short)Type=C/RL, Post=AS+BS2026.0515.590.15———1
COMPASS(no aug)Augmentation=false2024.0515.5940.198———4
SGBS+EAS(short)Search=short2024.0515.6050.271———2
POMO+EASType=C/RL, Post=AS2026.0515.610.3———16
DPDP2024.0515.6270.41———23
DPDP(1M)Type=P/SL, Post=DP2026.0515.630.41———1.2
LKH32024.0515.6460.532———6
LKH2021.1015.650————
LKH3Method type=Heuristic2022.0515.650——13—
LKH3Type=H, Post=-2026.0515.650.54———9.8
POMO(sampling)Decoding=sampling2024.0515.6630.641———6
Sym-NCOType=C/RL, Post=-2026.0515.670.7———7.2
POMOType=C/RL, Post=-2026.0515.670.7———7.2
DPDPInference Steps=100k2021.1015.690.316———
LR+POMOBase Model=POMO, Leader Reward=true2024.0515.7291.064———1
Poppy 32Paths=322024.0515.731.072———5
DACTData Augmentation=x62021.1015.740.57415——
DACTType=S/RL, Post=-2026.0515.741.11———1.7
POMOData Augmentation=x82021.1015.750.692———
CVAE-Opt-DE2021.1015.75—————
POMO2024.0515.7541.228———1
NCE(CROSS)Type=S/SL, Post=-2026.0515.811.59———10.4
POMO2021.1015.841.2121———
Sym-NCORollout strategy=multi-start, Sampling size=1002022.0515.871.46——16—
NeuOpt(D2A=1,1k)Type=S/RL, Post=-2026.0515.871.94———28
NLNSInference Steps (T)=10k2021.1015.881.495———
DACTInference Steps (T)=10k2021.1015.881.51752——
POMORollout strategy=multi-start, Sampling size=1002022.0515.91.67——16—
NLNS(5k)Type=S/RL, Post=-2026.0515.922.26———2.4
DACTInference Steps (T)=5k2021.1015.951.923.526——
MDAM-BS2021.1015.992.231———
AM+LCPType=C/RL, Post=-2026.05162.81———2.1
MDAMSearch strategy=beam search, Beam width=30, Ensemble size=52022.0516.032.49——1—
COAgents(1k)Type=S/SL, Post=-2026.0516.052.72———1.9
NLNSInference Steps (T)=1k2021.1016.092.8431———
NeuRewriter2021.1016.1—1———
Sym-NCORollout strategy=greedy2022.0516.12.88——3—
Wu et al.Inference Steps (T)=5k2021.1016.173.315———
Wu et al.Type=S/RL, Post=-2026.0516.173.87———5
DACTInference Steps (T)=1k2021.1016.23.52415——
AM-sampling2021.1016.233.722———
AMRollout strategy=multi-start, Sampling size=12802022.0516.233.72——54—
POMORollout strategy=greedy2022.0516.263.93——3—
Wu et al.Inference Steps (T)=1k2021.1016.394.761———
MDAMRollout strategy=greedy, Ensemble size=52022.0516.44.86——45—
ALNS(1k)Type=H, Post=-2026.0516.546.01———18.3
AMRollout strategy=greedy2022.0516.87.34——3—
Nazari et al.Search strategy=beam search, Beam width=102022.0516.968.39————
OR-Tools2021.1017.129.5446———
RLRollout strategy=greedy2022.0517.2310.12————