38 citations · 129 across the 25 of their papers we have counts for
4 papers · 1 filter
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…
Complexity, Exactness, and Rationality in Polynomial Optimization
Daniel Bienstock, Alberto del Pia, Robert Hildebrand
We focus on rational solutions or nearly-feasible rational solutions that serve as certificates of feasibility for polynomial optimization problems. We show that, under some separa…
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…
A Flexible Job Shop Scheduling Representation of the Autonomous In-Space Assembly Task Assignment Problem
Joshua Moser, Julia Hoffman, Robert Hildebrand +1
As in-space exploration increases, autonomous systems will play a vital role in building the necessary facilities to support exploration. To this end, an autonomous system must be…