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DOI: 10.4230/OASIcs.ATMOS.2006.684

Periodic Metro Scheduling

Authors: Evangelos Bampas, Georgia Kaouri, Michael Lampis, and Aris Pagourtzis

Published in: OASIcs, Volume 5, 6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06) (2006)

Abstract

We introduce the { extsc{Periodic Metro Sched-ul-ing}} ({ extsc{PMS}}) problem, which aims in generating a periodic timetable for a given set of routes and a given time period, in such a way that the minimum time distance between any two successive trains that pass from the same point of the network is maximized. This can be particularly useful in cases where trains use the same rail segment quite often, as happens in metropolitan rail networks. We present exact algorithms for ({ extsc{PMS}}) in chain and spider networks, and constant ratio approximation algorithms for ring networks and for a special class of tree networks. Some of our algorithms are based on a reduction to the { extsc{Path Coloring}} problem, while others rely on techniques specially designed for the new problem.

Cite as

Evangelos Bampas, Georgia Kaouri, Michael Lampis, and Aris Pagourtzis. Periodic Metro Scheduling. In 6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06). Open Access Series in Informatics (OASIcs), Volume 5, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{bampas_et_al:OASIcs.ATMOS.2006.684,
  author =	{Bampas, Evangelos and Kaouri, Georgia and Lampis, Michael and Pagourtzis, Aris},
  title =	{{Periodic Metro Scheduling}},
  booktitle =	{6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06)},
  pages =	{1--15},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-01-9},
  ISSN =	{2190-6807},
  year =	{2006},
  volume =	{5},
  editor =	{Jacob, Riko and M\"{u}ller-Hannemann, Matthias},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2006.684},
  URN =		{urn:nbn:de:0030-drops-6841},
  doi =		{10.4230/OASIcs.ATMOS.2006.684},
  annote =	{Keywords: Train scheduling, path coloring, delay-tolerant scheduling, periodic timetabling}
}

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Periodic Metro Scheduling

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