FAU Erlangen-Nürnberg / Professorship for Discrete Optimization in the Engineering Sciences

Person

The research topics of Frauke Liers focus on mathematical optimization, especially mixed integer linear and nonlinear optimization under uncertainties. She is interested in problems with applications in various fields, including energy and logistics.

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Lebenslauf

Prof. Dr. Frauke Liers studierte Mathematik (Moll Physik) an der Universität Köln. Sie erhielt ihren Doktortitel in Informatik im Jahr 2004. Nach Forschungsaufenthalten in Rom und Paris leitete sie eine DFG-geförderte
Emmy Noether Gruppe, die im Dezember 2006 in Köln startete.

2010 habilitierte sie sich in Informatik. 2012 wurde sie Professorin für Angewandte Mathematik am Lehrstuhl für Mathematik an der Friedrich-Alexander Universität Erlangen-Nürnberg, wo sie Studiendekanin von 2016-2019 war. 2021 wechselte sie als Gründungsmitglied in die neue Abteilung Data Science und blieb als Nebenmitglied in Mathematik. Sie koordiniert die konsekutiven Studiengänge Data Science sowie Economics & Mathematics. Sie koordiniert die Europäische
Graduate College MINOA (Marie-Curie ITN, 2018-2021) und ist Principal Investigator im Collaborative
Forschungszentren SFB 1411 und SFB/TRR 154. Seit April 2023 ist sie Sprecherin des CTC/TRR 154.

Forschungsschwerpunkte

Forschung von anspruchsvollen diskret-kontinuierlichen Optimierungsproblemen und Datenanalyse
Fokus auf kombinatorische und gemischt-ganzzahlige (nicht-)lineare Probleme, robust-stochastische Optimierung, Integration von Lernen aus Daten
Optimierung komplexer Systeme wie z.B. Energiesysteme
Mathematische Optimierung für Kommunikation und Signalverarbeitung

Publikationen

Link zum pdf

Publications

Benno Hoch, Frauke Liers, Sarah Neumann, Francisco Javier Zaragoza Martínez (2024)

The non-stop disjoint trajectories problem

Discrete Optimization

Aigner KM, Goerigk M, Hartisch M, Liers F, Miehlich A (2024)

A Framework for Data-driven Explainability in Mathematical Optimization

Glomb L, Liers-Bergmann F, Rösel F (2024)

Fleet & tail assignment under uncertainty

Discrete Optimization

Lüer L, Peters IM, Smith AS, Dorschky E, Eskofier B, Liers-Bergmann F, Franke J, Sjarov M, Brossog M, Guldi DM, Maier A, Brabec C (2024)

A digital twin to overcome long-time challenges in photovoltaics

Joule

Bernhard D, Liers F, Stingl M (2024)

A Gradient-Based Method for Joint Chance-Constrained Optimization with Continuous Distributions

Dienstbier J, Liers F, Rolfes J (2024)

A Safe Approximation Based on Mixed-Integer Optimization for Non-Convex Distributional Robustness Governed by Univariate Indicator Functions

Sebastian Kreuz, Benjamin Apeleo Zubiri, Silvan Englisch, Moritz Buwen, Sung Gyu Kang, Rajaprakash Ramachandramoorthy, Erdmann Spiecker, Frauke Liers, Jan Rolfes (2024)

Improving reconstructions in nanotomography for homogeneous materials via mathematical optimization

Nanoscale Advances

Kreuz S, Apeleo-Zubiri B, Englisch S, Kang SG, Ramachandramoorthy R, Spiecker E, Liers F, Rolfes J (2024)

Improving reconstructions in nanotomography for homogeneous materials via mathematical optimization

Dennis Adelhütte, Kristin Braun, Frauke Liers, Sebastian Tschuppik (2024)

Minimizing delays of patient transports with incomplete information: A modeling approach based on the Vehicle Routing Problem

Or Spectrum

Egger, Daniel (2024)

Optimized Noise Suppression for Quantum Circuits

Kuchlbauer M, Dienstbier J, Muneer A, Hedges H, Stingl M, Liers F, Pflug L (2024)

Quality Control in Particle Precipitation via Robust Optimization

Computers & Chemical Engineering

Bernhard D, Liers F, Stingl M (2024)

Robust chance-constrained optimization with discrete distributions

Aigner KM, Bärmann A, Braun K, Liers F, Pokutta S, Schneider O, Sharma K, Tschuppik S (2023)

Data-driven Distributionally Robust Optimization over Time

INFORMS Journal on Optimization

Uwe Frank, Jana Dienstbier, Florentin Tischer, Simon E. Wawra, Lukas Gromotka, Johannes Walter, Frauke Liers, Wolfgang Peukert (2023)

Multidimensional Fractionation of Particles

Separations

Lukas Glomb, Frauke Liers, Florian Rösel (2023)

Optimizing integrated aircraft assignment and turnaround handling

European Journal of Operational Research

Aigner KM, Burlacu R, Liers F, Martin A (2023)

Solving AC Optimal Power Flow with Discrete Decisions to Global Optimality

Informs Journal on Computing

Lukas Glomb, Frauke Liers, Florian Rösel (2023)

A stochastic optimization approach for optimal Tail Assignment with knowledge-based predictive maintenance

CEAS Aeronautical Journal

Friedrich Wagner, Andreas Bärmann, Frauke Liers, Markus Weissenbäck (2023)

Improving Quantum Computation by Optimized Qubit Routing

Journal of Optimization Theory and Applications

Daria Gutina, Andreas Bärmann, Georg Roeder, Martin Schellenberger, Frauke Liers (2023)

Optimization over decision trees: a case study for the design of stable direct-current electricity networks

Optimization and Engineering

Aigner KM, Schaumann P, von Loeper F, Martin A, Schmidt V, Liers F (2022)

Robust DC Optimal Power Flow with Modeling of Solar Power Supply Uncertainty via R-Vine Copulas

Optimization and Engineering

Aigner KM, Clarner JP, Liers F, Martin A (2022)

Robust Approximation of Chance Constrained DC Optimal Power Flow under Decision-Dependent Uncertainty

European Journal of Operational Research

Miguel Anjos, Falk M. Hante, Frauke Liers-Bergmann (2022)

Special issue on Energy Networks

Mathematical Methods of Operations Research

Biefel C, Liers F, Rolfes J, Schewe L, Zöttl G (2022)

Robust Market Equilibria under Uncertain Cost

European Journal of Operational Research

Christian Biefel, Prof. Dr. Frauke Liers, Dr. Jan Rolfes, Martin Schmidt (2022)

Affinely Adjustable Robust Linear Complementarity Problems

SIAM Journal on Optimization

Kuchlbauer Martina, Liers Frauke, Stingl Michael (2022)

Adaptive bundle methods for nonlinear robust optimization

Informs Journal on Computing

Benno Hoch, Frauke Liers (2022)

An integrated rolling horizon and adaptive-refinement approach for disjoint trajectories optimization

Optimization and Engineering

Benno Hoch, Frauke Liers (2022)

An Integrated Rolling Horizon and Adaptive-Refinement Approach for Disjoint Trajectories Optimization

Optimization and Engineering

Leithäuser N, Adelhütte D, Braun K, Büsing C, Comis M, Gersing T, Johann S, Koster A, Krumke S, Liers F, Schmidt E, Schneider J, Streicher M, Tschuppik S, Wrede S (2022)

Decision-Support Systems for Ambulatory Care, including Pandemic Requirements: Using Mathematically Optimized Solutions

BMC Medical Informatics and Decision Making

Kuchlbauer M, Liers F, Stingl M (2022)

Outer approximation for mixed-integer nonlinear robust optimization

Journal of Optimization Theory and Applications

Kreimeier T, Kuchlbauer M, Liers F, Stingl M, Walther A (2022)

Towards the Solution of Robust Gas Network Optimization Problems Using the Constrained Active Signature Method

Adelhütte Dennis, Liers Frauke (2021)

Γ–counterparts for robust nonlinear combinatorial and discrete optimization

André Antunovic, Ebrahim Amiri, Christian Biefel, Gerhard Steinbock, Jocelyn Aulin, Prof. Dr. Frauke Liers, Prof. Dr. Wolfgang Gerstacker (2021)

Dynamic Sectorization in Multi-Panel Massive MIMO Systems

Lukas Glomb, Benno Hoch, Frauke Liers, Florian Rösel (2021)

Network planning and routing problems over time: Models, complexity and algorithms

LIPIcs : Leibniz International Proceedings in Informatics

Lukas Glomb, Prof. Dr. Frauke Liers, Florian Rösel (2021)

A rolling-horizon approach for multi-period optimization

European Journal of Operational Research

Roeder G, Ott L, Maier A., Wunder B., Wienzek P. Bärmann, A., Liers, F. Schellenberger M. (2021)

Analysis and Improvement of LVDC-Grid Stability using Circuit Simulation and Machine Learning - A Case Study

Liers Frauke, Schewe Lars, Thürauf Johannes (2021)

Radius of Robust Feasibility for Mixed-Integer Problems

Informs Journal on Computing

Dienstbier J, Aigner KM, Rolfes J, Peukert W, Segets D, Pflug L, Liers F (2021)

Robust Optimization in Nanoparticle Technology: A Proof of Principle by Quantum Dot Growth in a Residence Time Reactor

Computers & Chemical Engineering

Frauke Liers, Alexander Martin, Maximilian Merkert, Nick Mertens, Dennis Michaels (2021)

Solving mixed-integer nonlinear optimization problems using simultaneous convexification: a case study for gas networks

Journal of Global Optimization

Adelhütte Dennis, Aßmann Denis, Grand{ò}n Tatiana Gonz{à}lez, Gugat Martin, Heitsch Holger, Liers Frauke, Henrion Ren{\´e}, Nitsche Sabrina, Schultz Rüdiger, Stingl Michael, Wintergerst David (2020)

Joint model of probabilistic/robust (probust) constraints with application to gas network optimization

Vietnam Journal of Mathematics

Ambrosius Mirjam, Grimm Veronika, Kleinert Thomas, Liers Frauke, Schmidt Martin, Zöttl Gregor (2020)

Endogenous Price Zones and Investment Incentives in Electricity Markets: An Application of Multilevel Optimization with Graph Partitioning

Energy Economics

Liers Frauke, Martin Alexander, Merkert Maximilian, Mertens Nick, Michaels Dennis (2020)

Towards the Solution of Mixed-Integer Nonlinear Optimization Problems using Simultaneous Convexification

Dienstbier J, Schmölder J, Burlacu R, Liers F, Kaspereit M (2020)

Global optimization of batch and steady-state recycling chromatography based on the equilibrium model

Computers & Chemical Engineering

Hupp L, Kapolke M, Liers F, Martin A, Weismantel R (2020)

Mixed-Integer Reformulations of Resource-Constrained Two-Stage Assignment Problems

A{\"s}mann Denis, Liers Frauke, Stingl Michael (2019)

Decomposable robust two-stage optimization: An application to gas network operations under uncertainty

Networks

Bärmann A, Büsing C, Liers F (2019)

Globalized Robust Optimization with Gamma-Uncertainties

Grimm V, Kleinert T, Liers F, Schmidt M, Zöttl G (2019)

Optimal price zones in electricity markets: a mixed-integer multilevel model and global solution approaches

Optimization Methods & Software

Schweiger J, Liers F (2018)

A decomposition approach for optimal gas network extension with a finite set of demand scenarios

Optimization and Engineering

Bärmann Andreas, Liers Frauke (2018)

Aggregation Methods for Railway Network Design Based on Lifted Benders Cuts

Aßmann D., Liers F., Stingl M., Vera J. (2018)

Deciding Robust Feasibility and Infeasibility Using a Set Containment Approach: An Application to Stationary Passive Gas Network Operations

SIAM Journal on Optimization

Gottschalk C, Koster A, Liers F, Peis B, Schmand D, Wierz A (2017)

Robust flows over time: models and complexity results

Mathematical Programming

Liers F, Martin A, Peter A (2017)

Mathematical Analysis of Runway Scheduling with Aircraft Precedences

Liers F, Merkert M (2016)

Structural Investigation of Piecewise Linearized Network Flow Problems

SIAM Journal on Optimization

Heidt A, Helmke H, Kapolke M, Liers F, Martin A (2016)

Robust runway scheduling under uncertain conditions

Journal of Air Transport Management

Liers F, Martin A, Pape S (2016)

Binary Steiner Trees: Structural Results and an Exact Solution Approach

Discrete Optimization

Kapolke M, Fürstenau N, Heidt A, Liers F, Mittendorf M, Weiß C (2016)

Pre-tactical optimization of runway utilization under uncertainty

Journal of Air Transport Management

Martin Gronemann, Michael Jünger, Frauke Liers, Francesco Mambelli (2016)

Crossing minimization in storyline visualization

Lecture Notes in Computer Science

Gronemann M, Jünger M, Liers F, Mambelli F (2016)

Crossing Minimization in Storyline Visualization

Cacchiani V., Jünger M., Liers F., Lodi A., Schmidt D. (2016)

Single-commodity robust network design with finite and Hose demand sets

Mathematical Programming

Hupp L., Klein L., Liers F. (2015)

An exact solution method for quadratic matching: The one-quadratic-term technique and generalisations

Discrete Optimization

Fürstenau N, Heidt A, Kapolke M, Liers F, Mittendorf M, Weiß C (2015)

Pre-Tactical Planning of Runway Utilization Under Uncertainty: Optimization and Validation

A.~Bärmann, F.~Liers, A.~Martin, M.~Merkert, Ch.~Thurner, D.~Weninger (2015)

Solving Network Design Problems via Iterative Aggregation

Mathematical Programming Computation

Andreas Heidt, Manu Kapolke, Frauke Liers, Norbert Fürstenau, Hartmut Helmke (2014)

Pre-tactical time window assignment: Runway utilization and the impact of uncertainties

Heidt A, Kapolke M, Liers F, Fürstenau N, Helmke H (2014)

Pre-tactical Time Window assignment: Runway Utilization and the Impact of Uncertainties

Andreas Heidt, Hartmut Helmke, Frauke Liers, Alexander Martin (2014)

Robust runway scheduling using a time-indexed model

Heidt A, Helmke H, Liers F, Martin A (2014)

Robust Runway Scheduling using a time-indexed model

Hupp L., Liers F. (2013)

A polyhedral study of the Hamiltonian p-median problem

Electronic Notes in Discrete Mathematics

Anjos M, Liers F, Pardella GL, Schmutzer A (2013)

Engineering Branch-and-Cut Algorithms for the Equicut Problem

Anjos M., Ghaddar B., Hupp L., Liers F., Wiegele A. (2013)

Solving k-way graph partitioning problems to optimality: The impact of semidefinite relaxations and the bundle method

Facets of Combinatorial Optimization: Festschrift for Martin Grötschel

Anjos M., Liers F. (2012)

Global approaches for facility layout and VLSI floorplanning

International Series in Operations Research and Management Science

Álvarez-Miranda E., Cacchiani V., Dorneth T., Jünger M., Liers F., Lodi A., Parriani T., Schmidt D. (2012)

Models and algorithms for robust network design with several traffic scenarios

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Liers F., Pardella G. (2012)

Partitioning planar graphs: A fast combinatorial approach for max-cut

Computational Optimization and Applications

Ghaddar B., Anjos M., Liers F. (2011)

A branch-and-cut algorithm based on semidefinite programming for the minimum k-partition problem

Annals of Operations Research

Buchheim C., Liers F., Sanità L. (2011)

An exact algorithm for robust network design

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Liers F., Pardella G. (2011)

Simplifying maximum flow computations: The effect of shrinking and good initial flows

Discrete Applied Mathematics

Liers F, Nieberg T, Pardella, G (2011)

Via Minimization in VLSI Chip Design - Application of a Planar Max-Cut Algorithm

Fanghänel D., Liers F. (2010)

A fast exact algorithm for the problem of optimum cooperation and the structure of its solutions

Journal of Combinatorial Optimization

Liers F., Marinari E., Pagacz U., Ricci-Tersenghi F., Schmitz V. (2010)

A non-disordered glassy model with a tunable interaction range

Journal of Statistical Mechanics-Theory and Experiment

Baumann F., Buchheim C., Liers F. (2010)

Exact bipartite crossing minimization under tree constraints

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Buchheim C., Liers F., Oswald M. (2010)

Speeding up IP-based algorithms for constrained quadratic 0-1 optimization

Mathematical Programming

Buchheim C., Liers F., Oswald M. (2008)

A basic toolbox for constrained quadratic 0/1 optimization

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Pardella G., Liers F. (2008)

Exact ground states of large two-dimensional planar Ising spin glasses

Physical Review E

Buchheim C., Liers F., Oswald M. (2008)

Local cuts revisited

Operations Research Letters

Behle M., Jünger M., Liers F. (2007)

A primal branch-and-cut algorithm for the degree-constrained minimum spanning tree problem

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Liers F., Martin O. (2007)

Magnetic exponents of two-dimensional Ising spin glasses

Physical Review B

Liers F., Lukic J., Marinari E., Pelissetto A., Vicari E. (2007)

Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit

Physical Review B

Katzgraber H., Körner M., Liers F., Jünger M., Hartmann A. (2005)

Universality-class dependence of energy distributions in spin glasses

Physical Review B

Liers F, Jünger M, Reinelt G, Rinaldi G (2004)

Computing Exact Ground States of Hard Ising Spin Glass Problems by Branch-and-Cut

Liers F., Palassini M., Hartmann A., Jünger M. (2003)

Ground state of the Bethe lattice spin glass and running time of an exact optimization algorithm

Physical Review B

Palassini M., Liers F., Juenger M., Young A. (2003)

Low-energy excitations in spin glasses from exact ground states

Physical Review B