4 papers
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…
Enhancements of Discretization Approaches for Non-Convex Mixed-Integer Quadratically Constraint Quadratic Programming: Part I
Benjamin Beach, Robert Burlacu, Andreas Bärmann +2
We study mixed-integer programming (MIP) relaxation techniques for the solution of non convex mixed-integer quadratically constrained quadratic programs (MIQCQPs). We present MIP r…
Compact mixed-integer programming relaxations in quadratic optimization
Ben Beach, Robert Hildebrand, Joey Huchette
We present a technique for producing valid dual bounds for nonconvex quadratic optimization problems. The approach leverages an elegant piecewise linear approximation for univariat…
An Approximate Method for the Optimization of Long-Horizon Tank Blending and Scheduling Operations
Benjamin Beach, Robert Hildebrand, Kimberly Ellis +1
We address a challenging tank blending and scheduling problem regarding operations for a chemical plant. We model the problem as a nonconvex MIQCP, then approximate this model as a…