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Frauke Liers

Frauke Liers

Frauke Liers

  • Organization: Department of Mathematics
  • Working group: Professorship of Applied Mathematics (Integer and Robust Optimization) (Prof. Dr. Liers)
  • Phone number: +49 9131 85-67151
  • Fax number: +49 9131 85-67162
  • Email: frauke.liers@math.uni-erlangen.de
  • Website:
  • Address:
    Cauerstraße 11
    91058 Erlangen
    Room 03.345

Research Interests

I am interested in combinatorial and mixed-integer linear and non-linear optimization. A recent interest of mine is optimization under uncertainty, especially robust optimization.

Projects

  • Holistische Optimierung von Trajektorien und Runway Scheduling
    (Third Party Funds Group – Sub project)
    Overall project: Holistische Optimierung von Trajektorien und Runway Scheduling
    Term: 01-09-2018 - 31-08-2021
    Funding source: Bundesministerium für Wirtschaft und Technologie (BMWi)
    URL: https://www.mso.math.fau.de/edom/projects/hotrun/
    Efficient runway utilization is a major issue in airport operation, as capacities are (nearly) reached in many aiports. But planing is highly affected by uncertainties arising from weather changes or disruptions in the operative business. Furthermore, the planing of flight trajectories in the terminal region is by now often neglected in runway scheduling, as time efficient solution methods are mathematically challenging. The overall goal of this project is to combine trajectory and runway schedule computation including resilience against uncertainties in order to obtain stable optimal solutions.
  • Robustification of Physics Parameters in Gas Networks (B06) (2018 - 2022)
    (Third Party Funds Group – Sub project)
    Overall project: TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken
    Term: 01-07-2018 - 30-06-2022
    Funding source: DFG / Sonderforschungsbereich / Transregio (SFB / TRR)
    The goal of this
    research project is to study uncertain optimization problems using
    robust optimization methods. Focusing on transport networks, we aim at
    the development of tractable robust counterparts for uncertain
    optimization problems and an analysis of the problem structure. For the
    arising adjustable robust optimization tasks, good relaxations as well
    as effective branch-and-bound implementations shall be developed.
  • Flächenbezogene Modellierung, Simulation und Optimierung von Solar-Einspeisung, Lastfluss und Steuerung für Stromverteilnetze, unter Berücksichtigung von Einspeisungsunsicherheiten. Teilprojekt 5: Optimierung der Netzeingriffe.
    (Third Party Funds Single)
    Term: 01-01-2018 - 31-12-2020
    Funding source: Bundesministerium für Bildung und Forschung (BMBF)
    URL: https://www.mso.math.fau.de/edom/projects/verteilnetze/
  • Optimierte Prozesse für Trajektorie, Instandhaltung, Management von Ressourcen und Abläufen in der Luftfahrt
    (Third Party Funds Single)
    Term: 01-01-2018 - 31-12-2021
    Funding source: Bundesministerium für Wirtschaft und Technologie (BMWi)
    URL: https://www.mso.math.fau.de/edom/projects/ops-timal/
  • Mixed-Integer Non-Linear Optimisation: Algorithms and Applications
    (Third Party Funds Group – Overall project)
    Term: 01-01-2018 - 31-12-2021
    Funding source: Europäische Union (EU)
    URL: https://minoa-itn.fau.de/
    Building upon the achievements of the Marie-Curie ITN Mixed-Integer Non-Linear Optimization (MINO) (2012 - 2016), the goal of the Mixed-Integer Non-Linear Optimisation Applications (MINOA) proposal is to train the next generation of highly qualified researchers and managers in applied mathematics, operations research and computer science that are able to face the modern imperative challenges of European and international relevance in areas such as energy, logistics, engineering, natural sciences, and data analytics. Twelve Early-Stage Researchers (ESRs) will be trained through an innovative training programme based on individual research projects motivated by these applications that due to their high complexity will stimulate new developments in the field. The mathematical challenges can neither be met by using a single optimisation method alone, nor isolated by single academic partners. Instead, MINOA aims at building bridges between different mathematical methodologies and at creating novel and effective algorithmic enhancements. As special challenges, the ESRs will work on dynamic aspects and optimisation in real time, optimisation under uncertainty, multilevel optimization and non-commutativity in quantum computing. The ESRs will devise new effective algorithms and computer implementations. They will validate their methods for the applications with respect to metrics that they will define. All ESRs will derive recommendations, both for optimised MINO applications and for the effectiveness of the novel methodologies. These ESRs belong to a new generation of highly-skilled researchers that will strengthen Europe'e human capital base in R&I in the fast growing field of mathematical optimisation. The ESR projects will be pursued in joint supervision between experienced practitioners from leading European industries and leading optimisation experts, covering a wide range of scientific fields (from mathematics to quantum computing and real-world applications).
  • Energiemarktdesign
    (Third Party Funds Group – Sub project)
    Overall project: Energie Campus Nürnberg (EnCN2)
    Term: 01-01-2017 - 31-12-2021
    Funding source: andere Förderorganisation, Bayerische Staatsministerien
    URL: http://www.encn.de/en/forschungsthemen/energiemarktdesign/
    In the project “Energy Markt Design” within EnCN2 a team of researchers from economics, mathematics, and law analyses the economic and regulatory environment for the transformation of the energy system. The main objectives are to enhance the methods in energy market modeling and to contribute with well-grounded analyses to the policy discourse in Germany and Europe. For the electricity market, the focus is on the steering effect of market designs on regulated transmission expansion and private investments, as well as on the identification of frameworks at the distribution level that provide regional stakeholders with business models for the provision of flexibility measures. In order to address these complex issues, mathematical techniques are developed within the project that allow for solving the respective models. Another key research topic results from the advancing sector coupling in energy markets. Within EMD, gas market models, that are developed within DFG Transregio 154 (Simulation and Optimization of Gas Networks) in cooperation with project partners, are applied to evaluate the European gas market design. The long-term objective of the research group is an integrated assessment of the electricity and gas market design and their combined effects on investment decisions.
  • Optimization of medical care in rural environments
    (Third Party Funds Group – Overall project)
    Term: 01-12-2016 - 30-11-2019
    Funding source: BMBF / Verbundprojekt
    URL: https://www.mso.math.fau.de/edom/projects/healthfact/
  • Robustification of Physics Parameters in Gas Networks (B06) (2014 - 2018)
    (Third Party Funds Group – Sub project)
    Overall project: TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks
    Term: 01-07-2014 - 01-07-2017
    Funding source: DFG / Sonderforschungsbereich / Transregio (SFB / TRR)
    The goal of this research project is to study uncertain optimization problems using robust optimization methods. Focusing on transport networks, we aim at the development of tractable robust counterparts for uncertain optimization problems and an analysis of the problem structure. For the arising adjustable robust optimization tasks, good relaxations as well as effective branch-and-bound implementations shall be developed.
  • Integrated graduate school research training group (MGK)
    (Third Party Funds Group – Sub project)
    Overall project: TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks
    Term: 01-07-2014 - 01-07-2017
    Funding source: DFG / Sonderforschungsbereich / Integriertes Graduiertenkolleg (SFB / GRK)
    The integrated graduate school offers young researchers in the TRR 154 an interdisciplinary scientific education and training in Mathematical Modeling, Simulation und Optimization for Gas Networks by organizing summer and winter schools, excursions to companies, lectures and colloquia. Moreover, it supports the industrial or academic career entry by a mentoring program and soft skill courses.

Publications

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Editorial Activities

  • Associate Editor, Mathematical Methods of Operations Research
  • Associate Editor, Optimization and Engineering

Selected Courses (in German)

  • Robust Optimization
  • Theoretical Foundations of Discrete Optimization
  • Optimization in Industry
  • Project Seminar Optimization
  • Mathematics for Engineers