Adaptive cut selection in mixed-integer linear programming

M Turner, T Koch, F Serrano, M Winkler - arXiv preprint arXiv:2202.10962, 2022 - arxiv.org
Cutting plane selection is a subroutine used in all modern mixed-integer linear programming
solvers with the goal of selecting a subset of generated cuts that induce optimal solver …

The branch-and-bound algorithm in optimizing mathematical programming models to achieve power grid observability

NP Theodorakatos, R Babu, AP Moschoudis - Axioms, 2023 - mdpi.com
Phasor Measurement Units (PMUs) are the backbone of smart grids that are able to
measure power system observability in real-time. The deployment of synchronized sensors …

Dynamic optimization on quantum hardware: Feasibility for a process industry use case

DM Nenno, A Caspari - Computers & Chemical Engineering, 2024 - Elsevier
The quest for real-time dynamic optimization solutions in the process industry represents a
formidable computational challenge, particularly within the realm of applications like model …

[PDF][PDF] Signal temporal logic control synthesis among uncontrollable dynamic agents with conformal prediction

X Yu, Y Zhao, X Yin, L Lindemann - arXiv preprint arXiv …, 2023 - researchgate.net
The control of dynamical systems under temporal logic specifications among uncontrollable
dynamic agents is challenging due to the agents'a-priori unknown behavior. Existing works …

PySCIPOpt-ML: Embedding trained machine learning models into mixed-integer programs

M Turner, A Chmiela, T Koch, M Winkler - arXiv preprint arXiv:2312.08074, 2023 - arxiv.org
A standard tool for modelling real-world optimisation problems is mixed-integer
programming (MIP). However, for many of these problems there is either incomplete …

The mip workshop 2023 computational competition on reoptimization

S Bolusani, M Besançon, A Gleixner, T Berthold… - Mathematical …, 2024 - Springer
This paper describes the computational challenge developed for a computational
competition held in 2023 for the 20 th anniversary of the Mixed Integer Programming …

A proof system for certifying symmetry and optimality reasoning in integer programming

J van Doornmalen, L Eifler, A Gleixner… - arXiv preprint arXiv …, 2023 - arxiv.org
We present a proof system for establishing the correctness of results produced by
optimization algorithms, with a focus on mixed-integer programming (MIP). Our system …

Verifying message-passing neural networks via topology-based bounds tightening

C Hojny, S Zhang, JS Campos, R Misener - arXiv preprint arXiv …, 2024 - arxiv.org
Since graph neural networks (GNNs) are often vulnerable to attack, we need to know when
we can trust them. We develop a computationally effective approach towards providing …

Branching via cutting plane selection: Improving hybrid branching

M Turner, T Berthold, M Besançon, T Koch - arXiv preprint arXiv …, 2023 - arxiv.org
Cutting planes and branching are two of the most important algorithms for solving mixed-
integer linear programs. For both algorithms, disjunctions play an important role, being used …

Optimal Power Flow Management for a Solar PV-Powered Soldier-Level Pico-Grid

T Kunatsa, HC Myburgh, A De Freitas - Energies, 2024 - mdpi.com
Users ought to decide how to operate and manage power systems in order to achieve
various goals. As a result, many strategies have been developed to aid in this regard …