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-bound… Expand
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On the Integrality Gap of Binary Integer Programs with Gaussian Data
- Computer Science, Mathematics
- ArXiv
- 2020
- 1
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References
SHOWING 1-10 OF 39 REFERENCES
Basis reduction and the complexity of branch-and-bound
- Mathematics, Computer Science
- SODA '10
- 2010
- 26
- Highly Influential
- PDF
An Exponential Lower Bound on the Length of Some Classes of Branch-and-Cut Proofs
- Mathematics, Computer Science
- IPCO
- 2002
- 31
The Geometry of Online Packing Linear Programs
- Mathematics, Computer Science
- Math. Oper. Res.
- 2014
- 45
- PDF
Analysis of Sparse Cutting Planes for Sparse MILPs with Applications to Stochastic MILPs
- Mathematics, Computer Science
- Math. Oper. Res.
- 2018
- 22
- PDF
Approximating polyhedra with sparse inequalities
- Mathematics, Computer Science
- Math. Program.
- 2015
- 24
- PDF
A Computational Study of Search Strategies for Mixed Integer Programming
- Computer Science
- INFORMS J. Comput.
- 1999
- 336
- PDF
Market Split and Basis Reduction: Towards a Solution of the Cornuéjols-Dawande Instances
- Mathematics, Computer Science
- IPCO
- 1999
- 50
- PDF