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math.OC2026
Analyzing Performance and Scalability of Benders Decomposition for Generation and Transmission Expansion Planning Models
David L. Cole, Michael Lau, Xinliang Dai +2
Generation and Transmission Expansion Planning (GTEP) problems co-optimize generation and transmission expansion, enabling them to provide better planning decisions than traditiona…
math.OC2026
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…
math.OC2025
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…