A review on energy supply chain resilience through optimization

SN Emenike, G Falcone - Renewable and Sustainable Energy Reviews, 2020 - Elsevier
The concept of supply chain resilience continues to attract both industry and research
experts in the field of energy. These stakeholders continue to tackle disruptions to supply …

Optimal control problems driven by time-fractional diffusion equations on metric graphs: optimality system and finite difference approximation

V Mehandiratta, M Mehra, G Leugering - SIAM Journal on Control and …, 2021 - SIAM
We study optimal control problems for time-fractional diffusion equations on metric graphs,
where the fractional derivative is considered in the Caputo sense. Using eigenfunction …

MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems

M Gugat, G Leugering, A Martin, M Schmidt… - Computational …, 2018 - Springer
We study the transient optimization of gas transport networks including both discrete controls
due to switching of controllable elements and nonlinear fluid dynamics described by the …

On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems

M Gugat, FM Hante - SIAM Journal on Control and Optimization, 2019 - SIAM
We study problems of optimal boundary control with systems governed by linear hyperbolic
partial differential equations. The objective function is quadratic and given by an integral …

Nonoverlapping domain decomposition and virtual controls for optimal control problems of p-type on metric graphs

G Leugering - Handbook of Numerical Analysis, 2023 - Elsevier
We consider nonoverlapping domain decomposition methods for p-type ordinary and partial
differential equations and corresponding optimal control problems on metric graphs. As an …

Sequential linear integer programming for integer optimal control with total variation regularization

S Leyffer, P Manns - ESAIM: Control, Optimisation and Calculus of …, 2022 - esaim-cocv.org
We propose a trust-region method that solves a sequence of linear integer programs to
tackle integer optimal control problems regularized with a total variation penalty. The total …

Maximizing the storage capacity of gas networks: a global MINLP approach

R Burlacu, H Egger, M Groß, A Martin… - Optimization and …, 2019 - Springer
In this paper, we study the transient optimization of gas networks, focusing in particular on
maximizing the storage capacity of the network. We include nonlinear gas physics and …

Model order reduction for gas and energy networks

C Himpe, S Grundel, P Benner - Journal of Mathematics in Industry, 2021 - Springer
To counter the volatile nature of renewable energy sources, gas networks take a vital role.
But, to ensure fulfillment of contracts under these circumstances, a vast number of possible …

Algorithmic results for potential‐based flows: Easy and hard cases

M Groß, ME Pfetsch, L Schewe, M Schmidt… - …, 2019 - Wiley Online Library
Potential‐based flows are an extension of classical network flows in which the flow on an arc
is determined by the difference of the potentials of its incident nodes. Such flows are unique …

On discrete subproblems in integer optimal control with total variation regularization in two dimensions

P Manns, M Severitt - INFORMS Journal on Computing, 2024 - pubsonline.informs.org
We analyze integer linear programs that we obtain after discretizing two-dimensional
subproblems arising from a trust-region algorithm for mixed integer optimal control problems …