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Image Credit: Arxiv

Graph Reduction with Unsupervised Learning in Column Generation: A Routing Application

  • 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.

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