3 papers
math.OC2026
Optimal triangulations for piecewise linear approximations of non-convex variable products
Robert Burlacu, Lukas Hager, Robert Hildebrand
We show optimal triangulations for piecewise linear (PWL) approximations of indefinite quadratic functions over the plane. Optimal triangulations have minimum triangle density whil…
math.OC2024
Parabolic Approximation & Relaxation for MINLP
Adrian Göß, Robert Burlacu, Alexander Martin
We propose an approach based on quadratic approximations for solving general Mixed-Integer Nonlinear Programming (MINLP) problems. Specifically, our approach entails the global app…
math.OC2023
Enhancements of Discretization Approaches for Non-Convex Mixed-Integer Quadratically Constraint Quadratic Programming: Part II
Benjamin Beach, Robert Burlacu, Andreas Barmann +2
This is Part II of a study on mixed-integer programming (MIP) relaxation techniques for the solution of non-convex mixed-integer quadratically constrained quadratic programs (MIQCQ…