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Periodic Timetabling: Travel Time vs. Regenerative Energy

Authors Sven Jäger , Sarah Roth , Anita Schöbel

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Author Details

Sven Jäger
  • RPTU Kaiserslautern-Landau, Germany
Sarah Roth
  • RPTU Kaiserslautern-Landau, Germany
Anita Schöbel
  • RPTU Kaiserslautern-Landau, Germany
  • Fraunhofer Institute for Industrial Mathematics, Kaiserslautern, Germany

Funding

The first two authors were funded by the German Federal Minisry of Education and Research (BMBF) (Project number 05M22UKB).

Acknowledgements

We want to thank Niels Lindner for fruitful discussions about the topic.

Cite AsGet BibTex

Sven Jäger, Sarah Roth, and Anita Schöbel. Periodic Timetabling: Travel Time vs. Regenerative Energy. In 24th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2024). Open Access Series in Informatics (OASIcs), Volume 123, pp. 10:1-10:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/OASIcs.ATMOS.2024.10

Abstract

While it is important to provide attractive public transportation to the passengers allowing short travel times, it should also be a major concern to reduce the amount of energy used by the public transport system. Electrical trains can regenerate energy when braking, which can be used by a nearby accelerating train. Therefore, apart from the minimization of travel times, the maximization of brake-traction overlaps of nearby trains is an important objective in periodic timetabling. Recently, this has been studied in a model allowing small modifications of a nominal timetable. We investigate the problem of finding periodic timetables that are globally good in both objective functions. We show that the general problem is NP-hard, even restricted to a single transfer station and if only travel time is to be minimized, and give an algorithm with an additive error bound for maximizing the brake-traction overlap on this small network. Moreover, we identify special cases in which the problem is solvable in polynomial time. Finally, we demonstrate the trade-off between the two objective functions in an experimental study.

Subject Classification

ACM Subject Classification
  • Applied computing → Transportation
Keywords
  • periodic timetabling
  • regenerative braking

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References

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