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

Acknowledgements

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

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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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