Prof. Dr. Frauke Liers
Department of Data Science (DDS)
Professorship of Optimization under Uncertainty & Data Analysis
Friedrich-Alexander-Universität Erlangen-Nürnberg
frauke.liers@fau.de
See my profile at FAU
Applied Mathematics, Integer and Robust Optimization, Uncertainty, Data Science, Applications
Lastest news
Lecture: Trends in Optimization under Uncertainty
Trends in Mathematical Sciences 2024, June 2024
Data-Driven Optimization under Uncertainty with Engineering Applications
WiDS FAU: “Data-Driven Optimization under Uncertainty with Engineering Applications”, April 21, 2023
Publications
2024
Minimizing delays of patient transports with incomplete information: A modeling approach based on the Vehicle Routing Problem
In: Or Spectrum (2024)
ISSN: 0171-6468
DOI: 10.1007/s00291-024-00788-6
URL: https://link.springer.com/article/10.1007/s00291-024-00788-6
(Techreport) , , , :
A Framework for Data-driven Explainability in Mathematical Optimization
The 38th Annual AAAI Conference on Artificial Intelligence (Vancouver, February 20, 2024 - February 27, 2024)
DOI: 10.1609/aaai.v38i19.30081 , , , , :
A Gradient-Based Method for Joint Chance-Constrained Optimization with Continuous Distributions
(2024)
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/532 , , :
Robust chance-constrained optimization with discrete distributions
(2024)
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/564 , , :
A Safe Approximation Based on Mixed-Integer Optimization for Non-Convex Distributional Robustness Governed by Univariate Indicator Functions
(2024)
URL: https://arxiv.org/abs/2301.11185 , , :
Fleet & tail assignment under uncertainty
In: Discrete Optimization 52 (2024)
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2024.100836 , , :
The non-stop disjoint trajectories problem
In: Discrete Optimization 52 (2024), Article No.: 100837
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2024.100837 , , , :
Improving reconstructions in nanotomography for homogeneous materials via mathematical optimization
In: Nanoscale Advances (2024)
ISSN: 2516-0230
DOI: 10.1039/d3na01089a , , , , , , , , :
Improving reconstructions in nanotomography for homogeneous materials via mathematical optimization
(2024)
DOI: 10.48550/arXiv.2312.05592
URL: https://arxiv.org/abs/2312.05592 , , , , , , , :
Quality Control in Particle Precipitation via Robust Optimization
In: Computers & Chemical Engineering (2024)
ISSN: 0098-1354
DOI: 10.1016/j.compchemeng.2024.108619 , , , , , , :
A digital twin to overcome long-time challenges in photovoltaics
In: Joule 8 (2024), p. 1-17
ISSN: 2542-4351
DOI: 10.1016/j.joule.2023.12.010 , , , , , , , , , , , :
Optimized Noise Suppression for Quantum Circuits
(2024) , , :
2023
Solving AC Optimal Power Flow with Discrete Decisions to Global Optimality
In: Informs Journal on Computing (2023)
ISSN: 1091-9856
DOI: 10.1287/ijoc.2023.1270
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/323
(Techreport) , , , :
Data-driven Distributionally Robust Optimization over Time
In: INFORMS Journal on Optimization (2023)
ISSN: 2575-1484
DOI: 10.1287/ijoo.2023.0091
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/496 , , , , , , , :
Multidimensional Fractionation of Particles
In: Separations 10 (2023), Article No.: 252
ISSN: 2297-8739
DOI: 10.3390/separations10040252 , , , , , , , :
A stochastic optimization approach for optimal Tail Assignment with knowledge-based predictive maintenance
In: CEAS Aeronautical Journal (2023)
ISSN: 1869-5582
DOI: 10.1007/s13272-023-00663-0 , , :
Optimizing integrated aircraft assignment and turnaround handling
In: European Journal of Operational Research 310 (2023), p. 1051 - 1071
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2023.03.036 , , :
Optimization over decision trees: a case study for the design of stable direct-current electricity networks
In: Optimization and Engineering (2023)
ISSN: 1389-4420
DOI: 10.1007/s11081-023-09788-x , , , , :
Improving Quantum Computation by Optimized Qubit Routing
In: Journal of Optimization Theory and Applications (2023)
ISSN: 0022-3239
DOI: 10.1007/s10957-023-02229-w , , , :
2022
Robust Approximation of Chance Constrained DC Optimal Power Flow under Decision-Dependent Uncertainty
In: European Journal of Operational Research (2022)
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2021.10.051
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/312
(online publication) , , , :
Robust DC Optimal Power Flow with Modeling of Solar Power Supply Uncertainty via R-Vine Copulas
In: Optimization and Engineering (2022)
ISSN: 1389-4420
DOI: 10.1007/s11081-022-09761-0
URL: https://link.springer.com/article/10.1007/s11081-022-09761-0 , , , , , :
Special issue on Energy Networks
In: Mathematical Methods of Operations Research (2022)
ISSN: 1432-2994
DOI: 10.1007/s00186-022-00791-z , , :
Robust Market Equilibria under Uncertain Cost
In: European Journal of Operational Research 302 (2022), p. 1230-1241
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2022.02.030
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/searchtype/latest/docId/417/start/0/rows/10 , , , , :
Affinely Adjustable Robust Linear Complementarity Problems
In: SIAM Journal on Optimization 32 (2022), p. 152-172
ISSN: 1052-6234
DOI: 10.1137/20M1359778 , , , :
An integrated rolling horizon and adaptive-refinement approach for disjoint trajectories optimization
In: Optimization and Engineering (2022)
ISSN: 1389-4420
DOI: 10.1007/s11081-022-09719-2 , :
An Integrated Rolling Horizon and Adaptive-Refinement Approach for Disjoint Trajectories Optimization
In: Optimization and Engineering (2022)
ISSN: 1389-4420
DOI: 10.1007/s11081-022-09719-2 , :
Towards the Solution of Robust Gas Network Optimization Problems Using the Constrained Active Signature Method
(2022), p. 45 - 50
ISSN: 2510-7437
DOI: 10.48786/inoc.2022.09 , , , , :
Adaptive bundle methods for nonlinear robust optimization
In: Informs Journal on Computing 34 (2022), p. 2106 - 2124
ISSN: 1091-9856
DOI: 10.1287/ijoc.2021.1122
(Techreport) , , :
Outer approximation for mixed-integer nonlinear robust optimization
In: Journal of Optimization Theory and Applications (2022), p. 1056–1086
ISSN: 0022-3239
DOI: 10.1007/s10957-022-02114-y
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/414 , , :
Decision-Support Systems for Ambulatory Care, including Pandemic Requirements: Using Mathematically Optimized Solutions
In: BMC Medical Informatics and Decision Making (2022)
ISSN: 1472-6947
DOI: 10.1186/s12911-022-01866-x
URL: https://bmcmedinformdecismak.biomedcentral.com/articles/10.1186/s12911-022-01866-x
(Techreport) , , , , , , , , , , , , , , :
2021
Γ–counterparts for robust nonlinear combinatorial and discrete optimization
(2021)
Open Access: http://www.optimization-online.org/DB_HTML/2020/05/7806.html
URL: http://www.optimization-online.org/DB_HTML/2020/05/7806.html
(Techreport) , :
Dynamic Sectorization in Multi-Panel Massive MIMO Systems
2021 IEEE 4th 5G World Forum (, October 13, 2021 - October 15, 2021)
DOI: 10.1109/5gwf52925.2021.00020 , , , , , , :
Robust Optimization in Nanoparticle Technology: A Proof of Principle by Quantum Dot Growth in a Residence Time Reactor
In: Computers & Chemical Engineering (2021)
ISSN: 0098-1354
DOI: 10.1016/j.compchemeng.2021.107618
URL: http://www.optimization-online.org/DB_HTML/2021/02/8262.html , , , , , , :
Network planning and routing problems over time: Models, complexity and algorithms
29th Annual European Symposium on Algorithms, ESA 2021 (Lisbon, September 6, 2021 - September 8, 2021)
In: Petra Mutzel, Rasmus Pagh, Grzegorz Herman (ed.): Leibniz International Proceedings in Informatics, LIPIcs 2021
DOI: 10.4230/LIPIcs.ESA.2021.1 , , , :
A rolling-horizon approach for multi-period optimization
In: European Journal of Operational Research unbekannt (2021)
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2021.07.043
URL: https://www.sciencedirect.com/science/article/abs/pii/S0377221721006536 , , :
Solving mixed-integer nonlinear optimization problems using simultaneous convexification: a case study for gas networks
In: Journal of Global Optimization (2021)
ISSN: 0925-5001
DOI: 10.1007/s10898-020-00974-0 , , , , :
Radius of Robust Feasibility for Mixed-Integer Problems
In: Informs Journal on Computing (2021)
ISSN: 1091-9856
DOI: 10.1287/ijoc.2020.1030
URL: http://www.optimization-online.org/DB_HTML/2019/05/7219.html
(Techreport) , , :
Analysis and Improvement of LVDC-Grid Stability using Circuit Simulation and Machine Learning - A Case Study
NEIS 2021 Conference on Sustainable Energy Supply and Energy Storage Systems (Hamburg, September 13, 2021 - September 14, 2021) , , , , , , , :
2020
Joint model of probabilistic/robust (probust) constraints with application to gas network optimization
In: Vietnam Journal of Mathematics (2020)
ISSN: 0866-7179
DOI: 10.1007/s10013-020-00434-y
URL: https://link.springer.com/article/10.1007/s10013-020-00434-y
(Techreport) , , , , , , , , , , :
Endogenous Price Zones and Investment Incentives in Electricity Markets: An Application of Multilevel Optimization with Graph Partitioning
In: Energy Economics (2020)
ISSN: 0140-9883
DOI: 10.1016/j.eneco.2020.104879
URL: https://www.sciencedirect.com/science/article/pii/S014098832030219X?via=ihub , , , , , :
Global optimization of batch and steady-state recycling chromatography based on the equilibrium model
In: Computers & Chemical Engineering 135 (2020), p. 106687
ISSN: 0098-1354
DOI: 10.1016/j.compchemeng.2019.106687
(Techreport) , , , , :
Mixed-Integer Reformulations of Resource-Constrained Two-Stage Assignment Problems
(2020)
URL: http://www.optimization-online.org/DB_HTML/2020/11/8103.html
(Techreport) , , , , :
Towards the Solution of Mixed-Integer Nonlinear Optimization Problems using Simultaneous Convexification
(2020), p. 36
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/searchtype/latest/docId/303/start/0/rows/10
(Techreport) , , , , :
2019
Decomposable robust two-stage optimization: An application to gas network operations under uncertainty
In: Networks (2019)
ISSN: 0028-3045
DOI: 10.1002/net.21871
URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/net.21871 , , :
Globalized Robust Optimization with Gamma-Uncertainties
(2019)
URL: http://www.optimization-online.org/DB_HTML/2019/06/7253.html
(Techreport) , , :
Optimal price zones in electricity markets: a mixed-integer multilevel model and global solution approaches
In: Optimization Methods & Software 34 (2019), p. 406-436
ISSN: 1055-6788
DOI: 10.1080/10556788.2017.1401069
URL: https://www.tandfonline.com/doi/abs/10.1080/10556788.2017.1401069?journalCode=goms20 , , , , :
2018
Deciding Robust Feasibility and Infeasibility Using a Set Containment Approach: An Application to Stationary Passive Gas Network Operations
In: SIAM Journal on Optimization 28 (2018), p. 2489-2517
ISSN: 1052-6234
DOI: 10.1137/17M112470X , , , :
Aggregation Methods for Railway Network Design Based on Lifted Benders Cuts
In: Borndörfer R, Klug T, Lamorgese L, Mannino C, Reuther M, Schlechte T (ed.): Handbook of Optimization in the Railway Industry, Cham: Springer International Publishing, 2018, p. 47--72
ISBN: 978-3-319-72153-8
DOI: 10.1007/978-3-319-72153-8_3 , :
A decomposition approach for optimal gas network extension with a finite set of demand scenarios
In: Optimization and Engineering (2018)
ISSN: 1389-4420
DOI: 10.1007/s11081-017-9371-4 , :
2017
Robust flows over time: models and complexity results
In: Mathematical Programming (2017)
ISSN: 0025-5610
DOI: 10.1007/s10107-017-1170-3 , , , , , :
Mathematical Analysis of Runway Scheduling with Aircraft Precedences
(2017)
(Techreport) , , :
2016
Single-commodity robust network design with finite and Hose demand sets
In: Mathematical Programming 157 (2016), p. 297-342
ISSN: 1436-4646
DOI: 10.1007/s10107-016-0991-9 , , , , :
Crossing minimization in storyline visualization
24th International Symposium on Graph Drawing and Network Visualization, GD 2016 (Athens, September 19, 2016 - September 21, 2016)
In: Martin Nollenburg, Yifan Hu (ed.): Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2016
DOI: 10.1007/978-3-319-50106-2_29 , , , :
Crossing Minimization in Storyline Visualization
In: Proceedings of the 24th International Symposium on Graph Drawing and Network Visualization, Springer, 2016 (Lecture Notes in Computer Science)
URL: https://arxiv.org/abs/1608.08027 , , , :
Robust runway scheduling under uncertain conditions
In: Journal of Air Transport Management 56 (2016), p. 28-37
ISSN: 0969-6997
DOI: 10.1016/j.jairtraman.2016.02.009 , , , , :
Pre-tactical optimization of runway utilization under uncertainty
In: Journal of Air Transport Management (2016)
ISSN: 0969-6997
DOI: 10.1016/j.jairtraman.2016.02.004 , , , , , :
Binary Steiner Trees: Structural Results and an Exact Solution Approach
In: Discrete Optimization 21 (2016), p. 85-117
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2016.05.006 , , :
Structural Investigation of Piecewise Linearized Network Flow Problems
In: SIAM Journal on Optimization 26 (2016), p. 2863-2886
ISSN: 1052-6234
DOI: 10.1137/15M1006751 , :
2015
Solving Network Design Problems via Iterative Aggregation
In: Mathematical Programming Computation 7 (2015), p. 189-217
ISSN: 1867-2957
DOI: 10.1007/s12532-015-0079-1 , , , , , :
Pre-Tactical Planning of Runway Utilization Under Uncertainty: Optimization and Validation
In: Dirk Schäfer (ed.): Proceedings of the SESAR Innovations Days 2015, Eurocontrol, 2015 , , , , , :
An exact solution method for quadratic matching: The one-quadratic-term technique and generalisations
In: Discrete Optimization 18 (2015), p. 193-216
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2015.10.002 , , :
2014
Robust runway scheduling using a time-indexed model
4th SESAR Innovation Days (Madrid, November 25, 2014 - November 27, 2014)
In: Dirk Schaefer (ed.): SIDs 2014 - Proceedings of the SESAR Innovation Days 2014 , , , :
Robust Runway Scheduling using a time-indexed model
In: D.~Schäfer (ed.): Proceedings of the SESAR Innovation Days 2014, 2014
ISBN: 978-2-87497-077-1 , , , :
Pre-tactical Time Window assignment: Runway Utilization and the Impact of Uncertainties
In: Dirk Schaefer, Javier Saez (ed.): Proceedings of the SESAR Innovation Days 2014, 2014
ISBN: 978-2-87497-077-1
URL: http://www.sesarinnovationdays.eu , , , , :
Pre-tactical time window assignment: Runway utilization and the impact of uncertainties
4th SESAR Innovation Days (Madrid, ESP, November 25, 2014 - November 27, 2014)
In: Dirk Schaefer (ed.): SIDs 2014 - Proceedings of the SESAR Innovation Days 2014 , , , , :
2013
Solving k-way graph partitioning problems to optimality: The impact of semidefinite relaxations and the bundle method
In: Michael Jünger, Gerhard Reinelt (ed.): Facets of Combinatorial Optimization, Springer-Verlag Berlin Heidelberg, 2013, p. 355-386
ISBN: 9783642381881
DOI: 10.1007/978-3-642-38189-8_15 , , , , :
Engineering Branch-and-Cut Algorithms for the Equicut Problem
In: Karoly Bezdek, Antoine Deza, Yinyu Ye (ed.): Discrete Geometry and Optimization, Berlin Heidelberg: Springer, 2013, p. 17-32 (Fields Institute Communications, Vol.69)
ISBN: 978-3-319-00199-9
DOI: 10.1007/978-3-319-00200-2_2 , , , :
A polyhedral study of the Hamiltonian p-median problem
In: Electronic Notes in Discrete Mathematics 41 (2013), p. 213-220
ISSN: 1571-0653
DOI: 10.1016/j.endm.2013.05.095 , :
2012
Global approaches for facility layout and VLSI floorplanning
In: Miguel F. Anjos, Jean B. Lasserre (ed.): Handbook on Semidefinite, Conic and Polynomial Optimization, Springer New York LLC, 2012, p. 849-877 (International Series in Operations Research & Management Science, Vol.166)
DOI: 10.1007/978-1-4614-0769-0_29 , :
Partitioning planar graphs: A fast combinatorial approach for max-cut
In: Computational Optimization and Applications 51 (2012), p. 323-344
ISSN: 0926-6003
DOI: 10.1007/s10589-010-9335-5 , :
Models and algorithms for robust network design with several traffic scenarios
In: A. Ridha Mahjoub, Vangelis Markakis, Ioannis Milis, Vangelis Th. Paschos (ed.): Combinatorial Optimization, Berlin, Heidelberg: Springer, 2012, p. 261-272 (Lecture Notes in Computer Science, Vol.7422)
ISBN: 9783642321467
DOI: 10.1007/978-3-642-32147-4_24 , , , , , , , :
2011
An exact algorithm for robust network design
In: Julia Pahl, Torsten Reiners, Stefan Voß (ed.): Network Optimization, Berlin Heidelberg: Springer, 2011, p. 7-17 (Lecture Notes in Computer Science, Vol.6701)
ISBN: 9783642215261
DOI: 10.1007/978-3-642-21527-8_2 , , :
A branch-and-cut algorithm based on semidefinite programming for the minimum k-partition problem
In: Annals of Operations Research 188 (2011), p. 155-174
ISSN: 0254-5330
DOI: 10.1007/s10479-008-0481-4 , , :- Liers F, Nieberg T, Pardella, G:
Via Minimization in VLSI Chip Design - Application of a Planar Max-Cut Algorithm
(2011)
(anderer)
Simplifying maximum flow computations: The effect of shrinking and good initial flows
In: Discrete Applied Mathematics 159 (2011), p. 2187-2203
ISSN: 0166-218X
DOI: 10.1016/j.dam.2011.06.030 , :
2010
Exact bipartite crossing minimization under tree constraints
In: Paola Festa (ed.): Experimental Algorithms, Berlin, Heidelberg: Springer, 2010, p. 118-128 (Lecture Notes in Computer Science, Vol.6049)
ISBN: 9783642131929
DOI: 10.1007/978-3-642-13193-6_11 , , :
Speeding up IP-based algorithms for constrained quadratic 0-1 optimization
In: Mathematical Programming 124 (2010), p. 513-535
ISSN: 0025-5610
DOI: 10.1007/s10107-010-0377-3 , , :
A fast exact algorithm for the problem of optimum cooperation and the structure of its solutions
In: Journal of Combinatorial Optimization 19 (2010), p. 369-393
ISSN: 1382-6905
DOI: 10.1007/s10878-009-9208-y , :
A non-disordered glassy model with a tunable interaction range
In: Journal of Statistical Mechanics-Theory and Experiment 2010 (2010), Article No.: L05003
ISSN: 1742-5468
DOI: 10.1:088/1742-5468/2010/05/L05003 , , , , :
2008
A basic toolbox for constrained quadratic 0/1 optimization
In: Catherine C. McGeoch (ed.): Experimental Algorithms, Berlin Heidelberg: Springer, 2008, p. 249-262 (Lecture Notes in Computer Science, Vol.5038)
ISBN: 9783540685487
DOI: 10.1007/978-3-540-68552-4_19 , , :
Local cuts revisited
In: Operations Research Letters 36 (2008), p. 430-433
ISSN: 0167-6377
DOI: 10.1016/j.orl.2008.01.004 , , :
Exact ground states of large two-dimensional planar Ising spin glasses
In: Physical Review E 78 (2008), Article No.: 056705
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.78.056705 , :
2007
A primal branch-and-cut algorithm for the degree-constrained minimum spanning tree problem
In: Camil Demetrescu (ed.): Experimental Algorithms, Berlin Heidelberg: Springer, 2007, p. 379-392 (Lecture Notes in Computer Science, Vol.4525)
ISBN: 9783540728443
DOI: 10.1007/978-3-540-72845-0_29 , , :
Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit
In: Physical Review B 76 (2007), Article No.: 174423
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.76.174423 , , , , :
Magnetic exponents of two-dimensional Ising spin glasses
In: Physical Review B 76 (2007), Article No.: 060405
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.76.060405 , :
2005
Universality-class dependence of energy distributions in spin glasses
In: Physical Review B 72 (2005), Article No.: 094421
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.72.094421 , , , , :
2004
Computing Exact Ground States of Hard Ising Spin Glass Problems by Branch-and-Cut
In: Alexander K. Hartmann, Heiko Rieger (ed.): New Optimization Algorithms in Physics, Wiley-VCH, 2004, p. 47-68
DOI: 10.1002/3527603794.ch4 , , , :
2003
Ground state of the Bethe lattice spin glass and running time of an exact optimization algorithm
In: Physical Review B 68 (2003), p. 944061-944069
ISSN: 0163-1829
URL: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0242267921&origin=inward , , , :
Low-energy excitations in spin glasses from exact ground states
In: Physical Review B 68 (2003), p. 644131-6441316
ISSN: 0163-1829
URL: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0141839746&origin=inward , , , :
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