24 citations · 26 across the 4 of their papers we have counts for
5 papers
Complexity of branch-and-bound and cutting planes in mixed-integer optimization -- II
Amitabh Basu, Michele Conforti, Marco Di Summa +1
We study the complexity of cutting planes and branching schemes from a theoretical point of view. We give some rigorous underpinnings to the empirically observed phenomenon that co…
Complexity of branch-and-bound and cutting planes in mixed-integer optimization
Amitabh Basu, Michele Conforti, Marco Di Summa +1
We investigate the theoretical complexity of branch-and-bound (BB) and cutting plane (CP) algorithms for mixed-integer optimization. In particular, we study the relative efficiency…
Split cuts in the plane
Amitabh Basu, Michele Conforti, Marco Di Summa +1
We provide a polynomial time cutting plane algorithm based on split cuts to solve integer programs in the plane. We also prove that the split closure of a polyhedron in the plane h…
A geometric approach to cut-generating functions
Amitabh Basu, Michele Conforti, Marco Di Summa
The cutting-plane approach to integer programming was initiated more that 40 years ago: Gomory introduced the corner polyhedron as a relaxation of a mixed integer set in tableau fo…
On the convergence of the affine hull of the Chvátal-Gomory closures
Gennadiy Averkov, Michele Conforti, Alberto Del Pia +2
Given an integral polyhedron P and a rational polyhedron Q living in the same n-dimensional space and containing the same integer points as P, we investigate how many iterations of…