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math.OC2024
On Simplices with a Given Barycenter That Are Enclosed by the Standard Simplex
Brent Austgen, John J. Hasenbein, Erhan Kutanoglu
We present an optimization model defined on the manifold of the set of stochastic matrices. Geometrically, the model is akin to identifying a maximum-volume -dimensional simplex…
math.OC2023★ 4 cited
Scenario-based Optimization Models for Power Grid Resilience to Extreme Flooding Events
Ashutosh Shukla, Erhan Kutanoglu, John J. Hasenbein
We propose two scenario-based optimization models for power grid resilience decision making that integrate output from a hydrology model with a power flow model. The models are use…