Recoverable Robust Periodic Timetabling

Authors Vera Grafe , Anita Schöbel

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Author Details

Vera Grafe
  • RPTU Kaiserslautern-Landau, Kaiserslautern, Germany
Anita Schöbel
  • RPTU Kaiserslautern-Landau, Kaiserslautern, Germany
  • Fraunhofer-Institute for Industrial Mathematics ITWM, Kaiserslautern, Germany

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Vera Grafe and Anita Schöbel. Recoverable Robust Periodic Timetabling. In 23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023). Open Access Series in Informatics (OASIcs), Volume 115, pp. 9:1-9:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)


We apply the concept of recoverable robustness to periodic timetabling, resulting in the Recoverable Robust Periodic Timetabling Problem (RRPT), which integrates periodic timetabling and delay management. Although the computed timetable is periodic, the model is able to take the aperiodicity of the delays into account. This is an important step in finding a good trade-off between short travel times and delay resistance. We present three equivalent formulations for this problem, differing in the way the timetabling subproblem is handled, and compare them in a first experimental study. We also show that our model yields solutions of high quality.

Subject Classification

ACM Subject Classification
  • Applied computing → Transportation
  • Mathematics of computing → Discrete mathematics
  • Public Transport
  • Recoverable Robustness
  • Periodic Timetabling
  • Delay Management
  • Mixed Integer Programming


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