The prize collecting Steiner tree problem: theory and practice

@inproceedings{Johnson2000ThePC,
  title={The prize collecting Steiner tree problem: theory and practice},
  author={David S. Johnson and Maria Minkoff and Steven Phillips},
  booktitle={SODA},
  year={2000}
}
We consider variants on the Prize Collecting Steiner Tree problem and on the primal-dual 2-approximation algorithm devised for it by Goemans and Williamson. We introduce an improved pruning rule for the algorithm that is slightly faster and provides solutions that are at least as good and typically significantly better. On a selection of real-world instances whose underlying graphs are county street maps, the improvement in the standard objective function ranges from 1.7% to 9.2%. Substantially… CONTINUE READING
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