Daphne Skipper
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View article: Improved Mixing and Pressure Loss Formulations for Gas Network Optimization
Improved Mixing and Pressure Loss Formulations for Gas Network Optimization Open
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 pressure loss along pipes. This work improves two existing gas ne…
View article: Hundreds of grocery outlets needed across the United States to achieve walkable cities
Hundreds of grocery outlets needed across the United States to achieve walkable cities Open
The notion of the $x$-minute city is again popular in urban planning, but the practical implications of developing walkable neighborhoods have not been rigorously explored. What is the scale of the challenge that cities needing to retrofit…
View article: A scalable optimization approach for equitable facility location: Methodology and transportation applications
A scalable optimization approach for equitable facility location: Methodology and transportation applications Open
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. However, existing facility location models often do not scale we…
View article: Gaining or Losing Perspective for Piecewise-Linear Under-Estimators of Convex Univariate Functions
Gaining or Losing Perspective for Piecewise-Linear Under-Estimators of Convex Univariate Functions Open
We study MINLO (mixed-integer nonlinear optimization) formulations of the disjunction $x\in\{0\}\cup[\ell,u]$, where $z$ is a binary indicator of $x\in[\ell,u]$ ($0 \leq \ell 1$.
View article: Computing Bounds on Product-Graph Pebbling Numbers
Computing Bounds on Product-Graph Pebbling Numbers Open
Given a distribution of pebbles to the vertices of a graph, a pebbling move removes two pebbles from a single vertex and places a single pebble on an adjacent vertex. The pebbling number $π(G)$ is the smallest number such that, for any dis…
View article: More Virtuous Smoothing
More Virtuous Smoothing Open
In the context of global optimization of mixed-integer nonlinear optimization formulations, we consider smoothing univariate functions $f$ that satisfy $f(0)=0$, $f$ is increasing and concave on $[0,+\infty)$, $f$ is twice differentiable o…