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math.OC2026
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…
math.OC2025
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…
math.OC2025
Improved Mixing and Pressure Loss Formulations for Gas Network Optimization
Geonhee Kim, Christopher Lourenco, Daphne Skipper +1
Non-convex, nonlinear gas network optimization models are used to determine the feasibility of flows on existing networks given constraints on network flows, gas mixing, and pressu…