4 papers
On the convex hull of the graph of a simple monomial
Jon Lee, Daphne Skipper, Emily Speakman
Motivated by previous efforts toward mathematically analyzing the treatment of monomials in spatial branch-and-bound, we study the convex hull of the graph of a simple monomial on…
Volume Formulae for the Convex Hull of the Graph of a Trilinear Monomial: A Complete Characterization for General Box Domains
Lillian Makhoul, Emily Speakman
Solving difficult mixed-integer nonlinear programs via spatial branch-and-bound requires effective convex outer-approximations of nonconvex sets. In this framework, complex problem…
A scalable optimization approach for equitable facility location: Methodology and transportation applications
Drew Horton, Tom Logan, Joshua Murrell +2
Efficient and equitable access to essential services, such as healthcare, food, and education, is an important goal in urban planning, public policy, and transport logistics. Howev…
Evacuation Planning on Time-Expanded Networks with Integrated Wildfire Information
Steffen Borgwardt, Nicholas Crawford, Drew Horton +2
We study the problem of evacuation planning for natural disasters, focusing on wildfire evacuations. By creating pre-planned evacuation routes that can be updated based on real-tim…