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DOI: 10.4230/OASIcs.ATMOS.2022.11

Does Laziness Pay Off? - A Lazy-Constraint Approach to Timetabling

Authors: Torsten Klug, Markus Reuther, and Thomas Schlechte

Published in: OASIcs, Volume 106, 22nd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2022)

Abstract

Timetabling is a classical and complex task for public transport operators as well as for railway undertakings. The general question is: Which vehicle is taking which route through the transportation network in which order? In this paper, we consider the special setting to find optimal timetables for railway systems under a moving block regime. We directly set up on our work of [T. Schlechte et al., 2022], i.e., we consider the same model formulation and real-world instances of a moving block headway system. In this paper, we present a repair heuristic and a lazy-constraint approach utilizing the callback features of Gurobi, see [Gurobi Optimization, 2022]. We provide an experimental study of the different algorithmic approaches for a railway network with 100 and up to 300 train requests. The computational results show that the lazy-constraint approach together with the repair heuristic significantly improves our previous approaches.

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Torsten Klug, Markus Reuther, and Thomas Schlechte. Does Laziness Pay Off? - A Lazy-Constraint Approach to Timetabling. In 22nd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2022). Open Access Series in Informatics (OASIcs), Volume 106, pp. 11:1-11:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{klug_et_al:OASIcs.ATMOS.2022.11,
  author =	{Klug, Torsten and Reuther, Markus and Schlechte, Thomas},
  title =	{{Does Laziness Pay Off? - A Lazy-Constraint Approach to Timetabling}},
  booktitle =	{22nd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2022)},
  pages =	{11:1--11:8},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-259-4},
  ISSN =	{2190-6807},
  year =	{2022},
  volume =	{106},
  editor =	{D'Emidio, Mattia and Lindner, Niels},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2022.11},
  URN =		{urn:nbn:de:0030-drops-171159},
  doi =		{10.4230/OASIcs.ATMOS.2022.11},
  annote =	{Keywords: Moving Block, Railway Track Allocation, Timetabling, Train Routing}
}

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Does Laziness Pay Off? - A Lazy-Constraint Approach to Timetabling

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