Branch-and-bound solves random binary IPs in poly\((n)\)-time
From MaRDI portal
Publication:6041109
DOI10.1007/s10107-022-01895-4zbMath1519.90119arXiv2007.15192OpenAlexW4306786755MaRDI QIDQ6041109
Marco Molinaro, Santanu S. Dey, Yatharth Dubey
Publication date: 25 May 2023
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.15192
Analysis of algorithms and problem complexity (68Q25) Integer programming (90C10) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57)
Related Items (2)
Average-case complexity of a branch-and-bound algorithm for \textsc{Min Dominating Set} ⋮ Complexity of optimizing over the integers
Cites Work
- Progress in computational mixed integer programming -- a look back from the other side of the tipping point
- Oracle inequalities in empirical risk minimization and sparse recovery problems. École d'Été de Probabilités de Saint-Flour XXXVIII-2008.
- Approximating polyhedra with sparse inequalities
- Factoring polynomials with rational coefficients
- Branching rules revisited
- Verifying integer programming results
- Lectures on Modern Convex Optimization
- Integer Programming with a Fixed Number of Variables
- Integer Programming
- An Automatic Method of Solving Discrete Programming Problems
- Smoothed analysis of algorithms
- Cube Slicing in R n
- Probabilistic Analysis of the Multidimensional Knapsack Problem
- Hard Knapsack Problems
- A Computational Study of Search Strategies for Mixed Integer Programming
- High-Dimensional Probability
- Trivial integer programs unsolvable by branch-and-bound
- Sparsity of Lift-and-Project Cutting Planes
- Analysis of Sparse Cutting Planes for Sparse MILPs with Applications to Stochastic MILPs
- Random knapsack in expected polynomial time
- On the integrality gap of binary integer programs with Gaussian data
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Branch-and-bound solves random binary IPs in poly\((n)\)-time