The vision of MODAL's RailLab is to increase the attractivity and competitiveness of rail-bound traffic by developing powerful novel mathematical optimization methods in order to support the planning processes of railways. The core problem is the efficient use of the rolling stock. The RailLab focusses on long distance passenger traffic and, in particular, the use of high-speed railcars. The following research topics are investigated: • fully dated vehicle rotation planning in order to roll out a given cyclic rotation plan onto a concrete calendar period including seasonal changes, holidays, construction sites etc (phase I) • robust vehicle rotation planning in order to enhance the stability of the plan w.r.t. disruptions (phase II) • service oriented vehicle rotation planning in order to use the "the right train on the right relation" (phase III).

RailLab is a cooperation of ZIB, DB Fernverkehr AG, and LBW Optimization GmbH to develop novel optimization algorithms for vehicle rotation planning in order to automate and improve planning processes in railway operations.


Germany has the largest railway network in Europe, containing roughly 33,500 km of tracks and 5,400 stations. Every day, 27,000 long and short distance passenger trains transporting 5.5 million passengers and 5,000 cargo run on this network. This system is highly relevant for society, industry, and the environment. Its maintenance and operation is expensive, infrastructure construction is extremely long termed. Putting the available network capacity to the best possible use is therefore of utmost importance for increasing the attractivity and competitiveness of rail-bound traffic not only in Germany.

 

Strategic planning of ICE train rotations: Hypergraph visualization tool HyDraw of Ricardo Euler and Gerwin Gamrath based on JavaView of Konrad Polthier.             Strategic planning of ICE train rotations: Hypergraph visualization tool HyDraw of Ricardo Euler and Gerwin Gamrath based on JavaView of Konrad Polthier.

Strategic planning of ICE train rotations: Hypergraph visualization tool HyDraw of Ricardo Euler and Gerwin Gamrath based on JavaView of Konrad Polthier. In strategic train rotation planning rotation cycles for so-called standard weeks are designed in order to determine the number of trains needed for the future timetable.

Many planning processes in the railway industry are still operated in a manual way, the use of mathematical optimization technology is rare. The reason for this is the high complexity of railway operations respectively the lack of performance of the existing algorithms, which until recently thwarted all attempts to mathematical railway optimization.

An automated analysis and visualization of ICE timetables saves time and leads to more efficient planning processes.

Visualization of a 2016 ICE timetable. Analyzing timetables is a common task for rotation planners. This image shows the result of an automated timetable analysis tool, which has been developed in the MODAL-RailLab. The tool is already being used by practitioners and helps to make planning more efficient.

RailLab is based on the results of two forerunner projects Vehicle Rotation Planning for Long Distance Passenger Railways (DB-ROTOR) and Multi-day Cyclic Rotations for Trains (VS-RAIL). These projects developed vehicle rotation optimizers ROTOR and VS-RAIL, respectively, which allow, for the first time, to solve strategic vehicle rotation planning problems for large-scale passenger railways such as the German ICE network. At present, rotation plans for a cyclic standard week can be optimized, aiming at the most efficient use of rolling stock, taking into account maintenance and other treatments of vehicles in facilities of limited capacities as well as operational regularity requirements on the similar use of vehicles on every day of the week. It is also possible to re-optimize a given rotation in order to adapt it to a changed scenario that results, e.g., from construction sites or seasonal changes of the timetable. Such a re-optimization is supposed to preserve the original schedule, as long as this is possible and not too expensive. In this way, scheduled maintenance services and deadhead trips do not have to be planned again, there is no need to apply again for resources like track capacity, and it is easier to adapt the duty schedule in the succeeding planning step.

Now that the principle feasibility of vehicle rotation planning is proved for a significant problem with a role model character for the entire planning chain, further and more complex applications in rolling stocking planning have come within reach. RailLab investigates the following planning problems:

  • fully dated vehicle rotation planning (phase I)
  • robust vehicle rotation planning (phase II)
  • service oriented vehicle rotation planning (phase III).

This long-term program will be carried out in three phases of 4-5 years each. In addition to basic mathematical research, the projects include software development work packages of specification, collection and analysis of data, system analysis, modelling, algorithmic development, implementation, tests, system integration, dissemination, and the transfer of results to further applications.

 

 

Publications

2023
A Comparison of Models for Rolling Stock Scheduling 2023 (under review) Boris Grimm, Rowan Hoogervorst, Ralf Borndörfer BibTeX
DOI
arXiv
MODAL-RailLab
A Robustness Analysis of Long Distance Train Crew Schedules in Germany Proceedings Of The Fifth Iinternational Conference On Railway Technology: Research, Development and Maintenance, Vol.CCC 1, 2023 Ralf Borndörfer, Boris Grimm, Stanley Schade BibTeX
DOI
MODAL-RailLab
Assignment Based Resource Constrained Path Generation for Railway Rolling Stock Optimization 23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023), pp. 13:1-13:15, Vol.115, Open Access Series in Informatics (OASIcs), 2023 Boris Grimm, Ralf Borndörfer, Julian Bushe PDF
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MODAL-RailLab
2021
Deutsche Bahn Schedules Train Rotations Using Hypergraph Optimization Informs Journal on Applied Analytics, 51(1), pp. 42-62, 2021 Ralf Borndörfer, Thomas Eßer, Patrick Frankenberger, Andreas Huck, Christoph Jobmann, Boris Krostitz, Karsten Kuchenbecker, Kai Moorhagen, Philipp Nagl, Michael Peterson, Markus Reuther, Thilo Schang, Michael Schoch, Hanno Schülldorf, Peter Schütz, Tobias Therolf, Kerstin Waas, Steffen Weider BibTeX
DOI
MODAL-RailLab
Rolling Stock Rotation Optimization with Maintenance Paths Master's thesis, Technische Universität Berlin, Thorsten Koch, Ralf Borndörfer, Boris Grimm, Stanley Schade (Advisors), 2021 Julian Bushe BibTeX
MODAL-RailLab
2020
Implementing the Network Simplex for Hypergraphs Master's thesis, Freie Universität Berlin, Ralf Borndörfer, Niels Lindner, Boris Grimm (Advisors), 2020 Fabian Löbel BibTeX
MODAL-RailLab
Multi-period line planning with resource transfers Transportation Research Part C: Emerging Technologies, Vol.119, p. 102726, 2020 (preprint available as ZIB-Report 19-51) Guvenc Sahin, Amin Ahmadi, Ralf Borndörfer, Thomas Schlechte PDF (ZIB-Report)
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MODAL-RailLab
Von Graphen zu Hypergraphen OR News, 2020 Isabel Beckenbach BibTeX
MODAL-RailLab
2019
A Cut Separation Approach for the Rolling Stock Rotation Problem with Vehicle Maintenance 19th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2019), Valentina Cacchiani, Alberto Marchetti-Spaccamela (Eds.), pp. 1:1-1:12, Vol.75, OpenAccess Series in Informatics (OASIcs), 2019 (epub ahead of print, preprint available as ZIB-Report 19-61) Boris Grimm, Ralf Borndörfer, Markus Reuther, Thomas Schlechte PDF
PDF (ZIB-Report)
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MODAL-RailLab
A Three-Phase Heuristic for Cyclic Crew Rostering with Fairness Requirements ZIB-Report 19-43 Thomas Breugem, Ralf Borndörfer, Thomas Schlechte, Christof Schulz PDF
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MODAL-RailLab
Matchings and Flows in Hypergraphs Doctoral thesis, Freie Universität Berlin, Ralf Borndörfer, Winfried Hochstättler (Advisors), 2019 Isabel Beckenbach BibTeX
MODAL-RailLab
Optimization of handouts for rolling stock rotations Journal of Rail Transport Planning & Management, pp. 1-8, 2019 (preprint available as ZIB-Report ZR-16-73) Ralf Borndörfer, Boris Grimm, Markus Reuther, Thomas Schlechte PDF (ZIB-Report)
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MODAL-RailLab
Re-optimizing ICE Rotations after a Tunnel Breakdown near Rastatt Proceedings of the 8th International Conference on Railway Operations Modelling and Analysis - RailNorrköping 2019, pp. 160-168, Linköping Electronic Conference Proceedings(069), 2019, ISBN: 978-91-7929-992-7 (epub ahead of print, preprint available as ZIB-Report 19-02) Ralf Borndörfer, Boris Grimm, Thomas Schlechte PDF
PDF (ZIB-Report)
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MODAL-RailLab
Strategic Planning of Rolling Stock Rotations for Public Tenders Proceedings of the 8th International Conference on Railway Operations Modelling and Analysis - RailNorrköping 2019, pp. 148-159, Linköping Electronic Conference Proceedings(069), 2019, ISBN: 978-91-7929-992-7 Timo Berthold, Boris Grimm, Markus Reuther, Stanley Schade, Thomas Schlechte PDF
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MODAL-RailLab
2018
A Hypergraph Network Simplex Algorithm Operations Research Proceedings 2017, Natalia Kliewer, Jan Fabian Ehmke, Ralf Borndörfer (Eds.), pp. 309-316, Vol.Operations Research Proceedings 2017, 2018 (preprint available as ZIB-Report 17-36) Isabel Beckenbach PDF (ZIB-Report)
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MODAL-RailLab
A Simple Way to Compute the Number of Vehicles That Are Required to Operate a Periodic Timetable 18th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2018), pp. 16:1-16:15, Vol.65, OpenAccess Series in Informatics (OASIcs), 2018 (preprint available as ) Ralf Borndörfer, Marika Karbstein, Christian Liebchen, Niels Lindner BibTeX
DOI
MODAL-RailLab
Conflict-free railway track assignment at depots Journal of Rail Transport Planning & Management, 2018 (epub ahead of print) Brady Gilg, Torsten Klug, Rosemarie Martienssen, Joseph Paat, Thomas Schlechte, Christof Schulz, Senan Seymen, Alexander Tesch PDF
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MODAL-RailLab
Demand-Driven Line Planning with Selfish Routing Operations Research Proceedings 2017, pp. 687-692, 2018 (preprint available as ZIB-Report 17-38) Malte Renken, Amin Ahmadi, Ralf Borndörfer, Guvenc Sahin, Thomas Schlechte PDF (ZIB-Report)
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MODAL-RailLab
Ein mathematisches Modell zur Beschreibung von Preissystemen im öV ZIB-Report 18-47 Ralf Borndörfer, Ricardo Euler, Marika Karbstein, Fabian Mett PDF
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MODAL-RailLab
Freight Train Routing Handbook of Optimization in the Railway Industry, Springer International Publishing, pp. 73-92, 2018, ISBN: 978-3-319-72152-1 Torsten Klug BibTeX
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MODAL-RailLab
Hall’s and Kőnig’s theorem in graphs and hypergraphs Discrete Mathematics, 341(10), pp. 2753-2761, 2018 (preprint available as ZIB-Report 15-45) Isabel Beckenbach, Ralf Borndörfer PDF (ZIB-Report)
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MODAL-RailLab
Handbook of Optimization in the Railway Industry Ralf Borndörfer, Torsten Klug, Leonardo Lamorgese, Carlo Mannino, Markus Reuther, Thomas Schlechte (Eds.), Springer Verlag, 2018, ISBN: 978-3-319-72152-1 Erwin Abbink, Andreas Bärmann, Nikola Bešinovic, Markus Bohlin, Valentina Cacchiani, Gabrio Caimi, Stefano de Fabris, Twan Dollevoet, Frank Fischer, Armin Fügenschuh, Laura Galli, Rob M.P. Goverde, Ronny Hansmann, Henning Homfeld, Dennis Huisman, Marc Johann, Torsten Klug, Johanna Törnquist Krasemann, Leo Kroon, Leonardo Lamorgese, Frauke Liers, Carlo Mannino, Giorgio Medeossi, Dario Pacciarelli, Markus Reuther, Thomas Schlechte, Marie Schmidt, Anita Schöbel, Hanno Schülldorf, Anke Stieber, Sebastian Stiller, Paolo Toth, Uwe Zimmermann BibTeX
DOI
MODAL-RailLab
Kombilösung: Optimierung des Liniennetzes in Karlsruhe ZIB-Report 18-45 (Der Nahverkehr 1-2, p. 33-38, 2019) Ralf Borndörfer, Ascan Egerer, Marika Karbstein, Ralf Messerschmidt, Marc Perez, Steven Pfisterer, Petra Strauß PDF
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MODAL-RailLab
Mathematical optimization of joint order batching and picker routing problems Master's thesis, Freie Universität Berlin, Ralf Borndörfer (Advisor), 2018 Ekaterina Oleynikova BibTeX
MODAL-RailLab
Mixed-Integer Programming for Cycle Detection in Non-reversible Markov Processes Multiscale Modeling and Simulation, 16(1), pp. 248-265, 2018 (preprint available as ) Jakob Witzig, Isabel Beckenbach, Leon Eifler, Konstantin Fackeldey, Ambros Gleixner, Andreas Grever, Marcus Weber BibTeX
DOI
MODAL-RailLab
On Finding Subpaths With High Demand Operations Research Proceedings 2017, pp. 355-360, 2018 (preprint available as ) Stephan Schwartz, Ralf Borndörfer, Leonardo Balestrieri BibTeX
MODAL-RailLab
Optimization of Rolling Stock Rotations Handbook of Optimization in the Railway Industry, Springer International Publishing, pp. 213-241, 2018, ISBN: 978-3-319-72152-1 Markus Reuther, Thomas Schlechte BibTeX
DOI
MODAL-RailLab
Proceedings of the 18th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems Ralf Borndörfer, Sabine Storandt (Eds.), Dagstuhl Publishing, Saarbrücken/Wadern, Germany, 2018, ISBN: ISBN 978-3-95977-096-5 BibTeX
DOI
MODAL-RailLab
Railway Track Allocation Handbook of Optimization in the Railway Industry, Springer International Publishing, pp. 141-160, 2018, ISBN: 978-3-319-72152-1 Gabrio Caimi, Frank Fischer, Thomas Schlechte BibTeX
DOI
MODAL-RailLab
Separation of Cycle Inequalities in Periodic Timetabling ZIB-Report 18-16 (Discrete Optimization) (accepted for publication) Ralf Borndörfer, Heide Hoppmann, Marika Karbstein, Niels Lindner PDF
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DOI
MODAL-RailLab
Solving the Time-Dependent Shortest Path Problem Using Super-Optimal Wind Operations Research Proceedings 2017, Natalia Kliewer, Jan Fabian Ehmke, Ralf Borndörfer (Eds.), 2018 Adam Schienle BibTeX
MODAL-RailLab
Structure-based Decomposition for Pattern-Detection for Railway Timetables Operations Research Proceedings 2017, pp. 715-721, 2018 (preprint available as ZIB-Report 17-40) Stanley Schade, Thomas Schlechte, Jakob Witzig PDF (ZIB-Report)
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DOI
MODAL-RailLab
The Graph Segmentation Problem INOC 2017 – 8th International Network Optimization Conference, pp. 35-44, Vol.64, Electronic Notes in Discrete Mathematics, 2018 (preprint available as ) Ralf Borndörfer, Stephan Schwartz, Gerald Bartz BibTeX
MODAL-RailLab
The Rolling Stock Rotation Planning Problem under Revenue Considerations Proceedings of the Rail Transport Demand Management Conference, 2018 (preprint available as ZIB-Report 19-01) Boris Grimm, Ralf Borndörfer, Christof Schulz, Steffen Weider PDF (ZIB-Report)
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MODAL-RailLab
The Tight Cut Decomposition of Matching Covered Uniformable Hypergraphs ZIB-Report 18-61 Isabel Beckenbach, Meike Hatzel, Sebastian Wiederrecht PDF
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MODAL-RailLab
Timetable Sparsification by Rolling Stock Rotation Optimization Operations Research 2017, pp. 723-728, 2018 (preprint available as ZIB-Report 17-63) Ralf Borndörfer, Matthias Breuer, Boris Grimm, Markus Reuther, Stanley Schade, Thomas Schlechte PDF (ZIB-Report)
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DOI
MODAL-RailLab
2017
A Combinatorial Proof of a König-type Theorem for Unimodular Hypergraphs ZIB-Report 17-27 (under review) Isabel Beckenbach, Britta Peis, Oliver Schaudt, Robert Scheidweiler PDF
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URN
MODAL-RailLab
A Propagation Approach to Acyclic Rolling Stock Rotation Optimization Proceedings of the IAROR conference RailLille, 2017 (preprint available as ZIB-Report 17-24) Boris Grimm, Ralf Borndörfer, Markus Reuther, Stanley Schade, Thomas Schlechte PDF (ZIB-Report)
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MODAL-RailLab
A Re-optimization Approach for Train Dispatching Operations Research Proceedings 2016, pp. 645-651, 2017 (preprint available as ZIB-Report 16-49) Frank Fischer, Boris Grimm, Torsten Klug, Thomas Schlechte PDF (ZIB-Report)
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DOI
MODAL-RailLab
Airline scheduling and disruption management L. Budd, S. Ison, eds., Air transportation management: an international perspective, Routledge: New York, pp. 151-167, 2017, ISBN: 9781472451064 Cheng-Lung Wu, Stephen J. Maher BibTeX
MODAL-RailLab
Conflict-Free Railway Track Assignment at Depots Proceedings of the IAROR conference RailLille, 2017 (preprint available as ZIB-Report 17-23) Brady Gilg, Torsten Klug, Rosemarie Martienssen, Joseph Paat, Thomas Schlechte, Christof Schulz, Sinan Seymen, Alexander Tesch PDF (ZIB-Report)
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MODAL-RailLab
Cost Projection Methods for the Shortest Path Problem with Crossing Costs 17th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2017), Gianlorenzo D'Angelo, Twan Dollevoet (Eds.), Vol.59, 2017 (preprint available as ) Marco Blanco, Ralf Borndörfer, Nam-Dung Hoang, Anton Kaier, Pedro Maristany de las Casas, Thomas Schlechte, Swen Schlobach BibTeX
MODAL-RailLab
Designing Inspector Rosters with Optimal Strategies Operations Research Proceedings 2016, pp. 217-223, 2017 (preprint available as ) Stephan Schwartz, Thomas Schlechte, Elmar Swarat BibTeX
DOI
MODAL-RailLab
Line Planning on Path Networks with Application to the Istanbul Metrobüs Operations Research Proceedings 2016, pp. 235-241, 2017 (preprint available as ) Ralf Borndörfer, Oytun Arslan, Ziena Elijazyfer, Hakan Güler, Malte Renken, Guvenc Sahin, Thomas Schlechte BibTeX
DOI
MODAL-RailLab
Mathematical Optimization of Rolling Stock Rotations Doctoral thesis, Technische Universität Berlin, Ralf Borndörfer, Martin Grötschel (Advisors), 2017 Markus Reuther BibTeX
MODAL-RailLab
Optimisation Methods in Sustainable Manufacturing Sustainable Manufacturing, Rainer Stark, Günther Seliger, Jérémy Bonvoisin (Eds.), Springer International Publishing, pp. 239-253, 2017, ISBN: 978-3-319-48514-0 Sebastian Schenker, Ingmar Vierhaus, Ralf Borndörfer, Armin Fügenschuh, Martin Skutella BibTeX
DOI
MODAL-RailLab
Pattern Detection For Large-Scale Railway Timetables Proceedings of the IAROR conference RailLille, 2017 (preprint available as ZIB-Report 17-17) Stanley Schade, Ralf Borndörfer, Matthias Breuer, Boris Grimm, Markus Reuther, Thomas Schlechte, Patrick Siebeneicher PDF (ZIB-Report)
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MODAL-RailLab
Perfect f-Matchings and f-Factors in Hypergraphs - A Combinatorial Approach Discrete Mathematics, 340(10), pp. 2499-2506, 2017 (preprint available as ZIB-Report 16-22) Isabel Beckenbach, Robert Scheidweiler PDF (ZIB-Report)
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DOI
MODAL-RailLab
Recent success stories on integrated optimization of railway systems Transportation Research Part C: Emerging Technologies, 74(1), pp. 196-211, 2017 Ralf Borndörfer, Torsten Klug, Leonardo Lamorgese, Carlo Mannino, Markus Reuther, Thomas Schlechte BibTeX
DOI
MODAL-RailLab
Strong Relaxations for the Train Timetabling Problem using Connected Configurations 17th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2017), Gianlorenzo D'Angelo, Twan Dollevoet (Eds.), Vol.59, 2017, ISBN: 978-3-95977-042-2 (preprint available as ZIB-Report 17-46) Frank Fischer, Thomas Schlechte PDF
PDF (ZIB-Report)
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DOI
MODAL-RailLab
Template-based Re-optimization of Rolling Stock Rotations Public Transport, pp. 1-19, 2017 Ralf Borndörfer, Boris Grimm, Markus Reuther, Thomas Schlechte BibTeX
DOI
MODAL-RailLab
Umsteigen ohne Warten HEUREKA 2017, 2017 (epub ahead of print, preprint available as ) Ralf Borndörfer, Heide Hoppmann, Marika Karbstein BibTeX
MODAL-RailLab
2016
An Approximation Result for Matchings in Partitioned Hypergraphs Operations Research Proceedings 2014, pp. 31-36, 2016 (preprint available as ZIB-Report 14-30) Isabel Beckenbach, Ralf Borndörfer PDF (ZIB-Report)
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DOI
MODAL-RailLab
Integrated Optimization of Rolling Stock Rotations for Intercity Railways Transportation Science, 50(3), pp. 863-877, 2016 (preprint available as ZIB-Report 12-39) Ralf Borndörfer, Markus Reuther, Thomas Schlechte, Kerstin Waas, Steffen Weider PDF
PDF (ZIB-Report)
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DOI
MODAL-RailLab
Regularity patterns for rolling stock rotation optimization 8th International Conference on Applied Operational Research, Proceedings, pp. 28-32, Vol.8, Lecture Notes in Management Science, 2016 Boris Grimm, Ralf Borndörfer, Markus Reuther, Thomas Schlechte, Stanley Schade BibTeX
MODAL-RailLab
Solving Time Dependent Shortest Path Problems on Airway Networks Using Super-Optimal Wind 16th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2016), Goerigk Marc (Ed.), Vol.54, OpenAccess Series in Informatics (OASIcs), 2016 Marco Blanco, Ralf Borndörfer, Nam-Dung Hoang, Anton Kaier, Adam Schienle, Thomas Schlechte, Swen Schlobach BibTeX
DOI
MODAL-RailLab
The Cycle Embedding Problem Operations Research Proceedings 2014, pp. 465-472, 2016 (preprint available as ZIB-Report 14-37) Ralf Borndörfer, Marika Karbstein, Julika Mehrgahrdt, Markus Reuther, Thomas Schlechte PDF (ZIB-Report)
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MODAL-RailLab
The Freight Train Routing Problem for Congested Railway Networks with Mixed Traffic Transportation Science, 50(2), pp. 408-423, 2016 (in press, preprint available as ) Ralf Borndörfer, Armin Fügenschuh, Torsten Klug, Thilo Schang, Thomas Schlechte, Hanno Schülldorf BibTeX
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MODAL-RailLab
The Maximum Flow Problem for Oriented Flows 16th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2016), Marc Goerigk, Renato Werneck (Eds.), pp. 1-13, Vol.54, OpenAccess Series in Informatics (OASIcs), 2016, ISBN: 978-3-95977-021-7 (epub ahead of print) Stanley Schade, Martin Strehler BibTeX
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MODAL-RailLab
The Shortest Path Problem with Crossing Costs ZIB-Report 16-70 Marco Blanco, Ralf Borndörfer, Nam-Dung Hoang, Anton Kaier, Thomas Schlechte, Swen Schlobach PDF
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MODAL-RailLab
2015
Comparing two dual relaxations of large scale train timetabling problems Proceedings of Conference on Advanced Systems in Public Transport 2015, 2015 (preprint available as ZIB-Report 15-43) Frank Fischer, Thomas Schlechte PDF (ZIB-Report)
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MODAL-RailLab
Duty Rostering in Public Transport - Facing Preferences, Fairness, and Fatigue Proceedings of Conference on Advanced Systems in Public Transport 2015 (CASPT2015), 2015 (preprint available as ZIB-Report 15-44) Ralf Borndörfer, Markus Reuther, Thomas Schlechte, Christof Schulz, Elmar Swarat, Steffen Weider PDF (ZIB-Report)
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MODAL-RailLab
Fastest, Average and Quantile Schedule SOFSEM 2015: Theory and Practice of Computer Science, pp. 201-216, 2015 (preprint available as ZIB-Report 14-49) Torsten Klug, Konstanty Junosza-Szaniawski, Slawomir Kwasiborski, Armin Fügenschuh, Thomas Schlechte PDF (ZIB-Report)
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DOI
MODAL-RailLab
G-RIPS 2014 RailLab - Towards robust rolling stock rotations ZIB-Report 14-34 Charles Brett, Rebecca Hoberg, Meritxell Pacheco, Kyle Smith, Ralf Borndörfer, Ricardo Euler, Gerwin Gamrath, Boris Grimm, Olga Heismann, Markus Reuther, Thomas Schlechte, Alexander Tesch PDF
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MODAL-RailLab
Integration of Duty Scheduling and Rostering to Increase Driver Satisfaction ZIB-Report 15-50 Ralf Borndörfer, Christof Schulz, Stephan Seidl, Steffen Weider PDF
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MODAL-RailLab
Recent Success Stories on Optimization of Railway Systems Proceedings of the IAROR conference RailTokyo, 2015 (preprint available as ZIB-Report 14-47) Ralf Borndörfer, Leonardo Lamorgese, Torsten Klug, Carlo Mannino, Markus Reuther, Thomas Schlechte PDF (ZIB-Report)
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MODAL-RailLab
Regional Search for the Resource Constrained Assignment Problem 15th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2015), pp. 111-129, Vol.48, OpenAccess Series in Informatics (OASIcs), 2015 Ralf Borndörfer, Markus Reuther BibTeX
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MODAL-RailLab
Rolling Stock Rotation Optimization in Days of Strike: An Automated Approach for Creating an Alternative Timetable ZIB-Report 15-52 Sepideh Ahmadi, Sascha F. Gritzbach, Kathryn Lund-Nguyen, Devita McCullough-Amal PDF
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MODAL-RailLab
Template based re-optimization of rolling stock rotations Proceedings of Conference on Advanced Systems in Public Transport 2015 (CASPT2015), 2015 Ralf Borndörfer, Boris Grimm, Markus Reuther, Thomas Schlechte PDF
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MODAL-RailLab
The hypergraph assignment problem Discrete Optimization, Vol.15, pp. 15-25, 2015 (preprint available as ) Ralf Borndörfer, Olga Heismann BibTeX
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MODAL-RailLab
2014
A Coarse-To-Fine Approach to the Railway Rolling Stock Rotation Problem 14th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, pp. 79-91, Vol.42, OpenAccess Series in Informatics (OASIcs), 2014 (preprint available as ZIB-Report 14-26) Ralf Borndörfer, Markus Reuther, Thomas Schlechte PDF (ZIB-Report)
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MODAL-RailLab
Local Search for the Resource Constrained Assignment Problem 14th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, pp. 62-78, Vol.42, OpenAccess Series in Informatics (OASIcs), 2014 Markus Reuther BibTeX
DOI
MODAL-RailLab
Re-Optimization of Rolling Stock Rotations pp. 49-55, Operations Research Proceedings 2013, 2014 (preprint available as ZIB-Report 13-60) Ralf Borndörfer, Julika Mehrgardt, Markus Reuther, Thomas Schlechte, Kerstin Waas PDF (ZIB-Report)
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MODAL-RailLab
2013
Rapid Branching Public Transport, 5(1), pp. 3-23, 2013 (preprint available as ) Ralf Borndörfer, Andreas Löbel, Markus Reuther, Thomas Schlechte, Steffen Weider BibTeX
MODAL-RailLab
2012
Vehicle Rotation Planning for Intercity Railways Proceedings of Conference on Advanced Systems for Public Transport 2012 (CASPT12), 2012 (preprint available as ZIB-Report 12-11) Ralf Borndörfer, Markus Reuther, Thomas Schlechte, Steffen Weider PDF (ZIB-Report)
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MODAL-RailLab
2011
A Hypergraph Model for Railway Vehicle Rotation Planning 11th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems, OpenAccess Series in Informatics (OASIcs)(20), pp. 146-155, 2011 (preprint available as ZIB-Report 11-36) Ralf Borndörfer, Markus Reuther, Thomas Schlechte, Steffen Weider PDF (ZIB-Report)
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MODAL-RailLab