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Periodic Event Scheduling with Flexible Infrastructure Assignment

Authors Enrico Bortoletto , Rolf Nelson van Lieshout , Berenike Masing , Niels Lindner

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Subject Classification

ACM Subject Classification
  • Mathematics of computing → Integer programming
  • Applied computing → Transportation
  • Mathematics of computing → Combinatorial optimization
  • Mathematics of computing → Matchings and factors
Keywords
  • Periodic Event Scheduling
  • Periodic Timetabling
  • Railway Timetabling
  • Matchings
  • Infrastructure Assignments
  • Platform Assignments
  • Station Capacities

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Abstract

We present novel extensions of the Periodic Event Scheduling Problem (PESP) that integrate the assignment of activities to infrastructure elements. An application of this is railway timetabling, as station and platform capacities are limited and need to be taken into account. We show that an assignment of activities to platforms can always be made periodic, and that it can be beneficial to allow larger periods for the assignment than for the timetable. We present mixed-integer programming formulations for the general problem, as well as for the practically relevant case when multiple platforms can be considered equivalent, for which we present a bipartite matching approach. We finally test and compare these models on real-world instances.

Cite As Get BibTex

Enrico Bortoletto, Rolf Nelson van Lieshout, Berenike Masing, and Niels Lindner. Periodic Event Scheduling with Flexible Infrastructure Assignment. In 24th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2024). Open Access Series in Informatics (OASIcs), Volume 123, pp. 4:1-4:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/OASIcs.ATMOS.2024.4

Author Details

Enrico Bortoletto
  • Zuse Institute Berlin, Germany
Rolf Nelson van Lieshout
  • Eindhoven University of Technology, The Netherlands
Berenike Masing
  • Zuse Institute Berlin, Germany
Niels Lindner
  • Zuse Institute Berlin, Germany

Funding

  • Bortoletto, Enrico: Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – The Berlin Mathematics Research Center MATH+ (EXC-2046/1, project ID: 390685689).
  • Masing, Berenike: Funded within the Research Campus MODAL, funded by the German Federal Ministry of Education and Research (BMBF) (fund number 05M20ZBM).

Acknowledgements

We thank DB InfraGO AG for providing data for the S-Bahn Berlin network.

References

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