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Benders Decomposition using Graph Modeling and Multi-Parametric Programming
Parth Brahmbhatt, David L. Cole, Victor M. Zavala +1
Benders decomposition is a widely used method for solving large optimization problems, but its performance is often hindered by the repeated solution of subproblems. We propose a f…
Graph-Based Modeling and Decomposition of Hierarchical Optimization Problems
David L. Cole, Filippo Pecci, Omar J. Guerra +3
We present a graph-theoretic modeling approach for hierarchical optimization that leverages the OptiGraph abstraction implemented in the Julia package Plasmo.jl. We show that the a…
Hierarchical Graph Modeling for Multi-Scale Optimization of Power Systems
David L. Cole, Harsha Gangammanavar, Victor M. Zavala
Hierarchical optimization architectures are used in power systems to manage disturbances and phenomena that arise at multiple spatial and temporal scales. We present a graph modeli…