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math.OC2026
When MILP Beats QP: Piecewise-Linear Reformulations of Sequentially Coupled Bilinear Programs
Quentin Ploussard, Maris Usis, Oluwabunmi Iwakin +1
The presence of bilinear terms in mathematical modeling generally yields nonconvex quadratic programs (QPs) that remain computationally challenging to solve to global optimality. W…
math.OC2026
Modeling Gaps in Hydropower Cascading System Models: A Systematic Review of Rule-Based Formulations
Quentin Ploussard, Lukas Livengood, Slaven Kincic
The coordination of cascading hydropower systems represents a fundamental challenge in modern energy systems engineering, requiring a sophisticated balance between multi-reservoir…
math.OC2025
Tightening the mixed integer linear formulation for the piecewise linear approximation in general dimensions
Quentin Ploussard, Xiang Li, Matija Pavičević
This paper addresses the problem of tightening the mixed-integer linear programming (MILP) formulation for continuous piecewise linear (CPWL) approximations of data sets in arbitra…