Column Generation (CG) is a popular method for enhancing computational efficiency in large scale Combinatorial Optimization problems.
A new approach combines CG with Graph Neural Network (GNN) and unsupervised learning to reduce the size of the Elementary Shortest Path Problem with Resource Constraints (ESPPRC).
The reduced problem is then solved using local search techniques, resulting in significant improvements in convergence compared to previous reduction techniques.
The method has shown over 9% improvement in objective values for larger instances of Capacitated Vehicle Routing Problems with Time Windows.