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math.OC2026

Piecewise M-Stationarity and Related Algorithms for Mathematical Programs with Complementarity Constraints

Kexin Wang, Lorenz T. Biegler

This study explores B-stationarity of mathematical programs with complementarity constraints (MPCCs) and convergence behavior of MPCC algorithms. Special attention is given to the…

math.OC20261 cited

A trust-region funnel algorithm for gray-box optimization

Gul Hameed, Tao Chen, Antonio del Rio Chanona +2

Gray-box optimization, where parts of optimization problems are represented by algebraic models while others are treated as black-box models lacking analytic derivatives, remains a…

math.OC20261 cited

Trust-region filter algorithms utilizing Hessian information for gray-box optimization

Gul Hameed, Tao Chen, Antonio del Rio Chanona +2

Optimizing industrial processes often involves gray-box models that couple algebraic glass-box equations with black-box components lacking analytic derivatives. Such systems challe…

math.OC2025

An equation-based batch distillation simulation to evaluate the effect of multiplicities in thermodynamic activity coefficients

Jennifer Werner, Jochen Schmid, Lorenz T. Biegler +1

In this paper, we investigate the influence of multiplicities in activity coefficients on batch distillation processes. In order to do so, we develop a rigorous simulation of batch…

math.OC2025

On Optimal Control of Hybrid Dynamical Systems using Complementarity Constraints

Saif R. Kazi, Kexin Wang, Lorenz T. Biegler

Optimal control for switch-based dynamical systems is a challenging problem in the process control literature. In this study, we model these systems as hybrid dynamical systems wit…