Estimating the size of search trees by sampling with domain knowledge

نویسندگان

  • Gleb Belov
  • Samuel Esler
  • Dylan Fernando
  • Pierre Le Bodic
  • George L. Nemhauser
چکیده

We show how recently-defined abstract models of the Branch & Bound algorithm can be used to obtain information on how the nodes are distributed in B&B search trees. This can be directly exploited in the form of probabilities in a sampling algorithm given by Knuth that estimates the size of a search tree. This method reduces the offline estimation error by a factor of two on search trees from MixedInteger Programming instances.

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تاریخ انتشار 2017