GNN-Guided Graph Coarsening and Adaptive QUBO Penalties for the Capacitated Vehicle Routing Problem with Time Windows on a Quantum Annealer
2026-09-07 12:00Models🔥 42.2 heat score
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The researchers successfully solved the Vehicle Routing Problem with Time Windows (CVRPTW) using Graph Neural Networks (GNN)-guided graph coarsening techniques and adaptive QUBO penalty methods on the D-Wave Advantage2 quantum annealing machine. This method replaced traditional manual tuning with unified GNN configuration, achieving 100% feasibility for all families at N=10 in the Solomon benchmark test, and increasing the feasibility of Type R samples from 80% to 100%. At larger scales (N=80, 100), its performance was significantly better than that of traditional heuristic algorithms. Additionally, adaptive penalty calibration reduced the violation mean from 33.0 to 0.06, and the rate of feasible samples in hardware experiments increased from 0.02% to 39%, verifying the conditional effect. The generated QUBO size was approximately 5-6 times larger than that of traditional methods.