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Corpus ID: 220871133

Branch-and-Bound Solves Random Binary Packing IPs in Polytime

@article{Dey2020BranchandBoundSR,
title={Branch-and-Bound Solves Random Binary Packing IPs in Polytime},
author={Santanu S. Dey and Y. Dubey and M. Molinaro},
journal={ArXiv},
year={2020},
volume={abs/2007.15192}
}

Branch-and-bound is the workhorse of all state-of-the-art mixed integer linear programming (MILP) solvers. These implementations of branch-and-bound typically use variable branching, that is, the child nodes are obtained by fixing some variable to an integer value v in one node and to v + 1 in the other node. Even though modern MILP solvers are able to solve very large-scale instances efficiently, relatively little attention has been given to understanding why the underlying branch-and-boundâ€¦Â Expand