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DOI: 10.4230/OASIcs.ATMOS.2024.6

Two-Stage Weekly Shift Scheduling for Train Dispatchers

Authors: Tomas Lidén, Christiane Schmidt, and Rabii Zahir

Published in: OASIcs, Volume 123, 24th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2024)

Abstract

We consider the problem of creating weekly shift schedules for train dispatchers, which conform to a variety of operational constraints, in particular, several work and rest time restrictions. We create the schedules in a two-stage process. First, using a previously presented IP model, we create a set of feasible daily shifts, which takes care of minimum-rest and shift-length requirements, taskload bounds, and combinability of dispatching areas. We then formulate an IP model to combine these daily shifts into weekly schedules, enforcing that each daily shift is covered by some dispatcher every day of the week, while ensuring that the weekly schedules comply with various restrictions on working hours from a union agreement. With this approach, we aim to identify "good" sets of daily shifts for the longer schedules. We run experiments for real-world sized input and consider different distributions of the daily shifts w.r.t. shift length and ratio of night shifts. Daily shifts with shift-length variability, relatively few long shifts, and a low ratio of night shifts generally yield better weekly schedules. The runtime for the second stage with the best daily-shift pattern is below three hours, which - together with the runtime for stage 1 of ca. 2 hours per run - can be feasible for real-world use.

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Tomas Lidén, Christiane Schmidt, and Rabii Zahir. Two-Stage Weekly Shift Scheduling for Train Dispatchers. In 24th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2024). Open Access Series in Informatics (OASIcs), Volume 123, pp. 6:1-6:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{liden_et_al:OASIcs.ATMOS.2024.6,
  author =	{Lid\'{e}n, Tomas and Schmidt, Christiane and Zahir, Rabii},
  title =	{{Two-Stage Weekly Shift Scheduling for Train Dispatchers}},
  booktitle =	{24th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2024)},
  pages =	{6:1--6:16},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-350-8},
  ISSN =	{2190-6807},
  year =	{2024},
  volume =	{123},
  editor =	{Bouman, Paul C. and Kontogiannis, Spyros C.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2024.6},
  URN =		{urn:nbn:de:0030-drops-211944},
  doi =		{10.4230/OASIcs.ATMOS.2024.6},
  annote =	{Keywords: shift scheduling, IP, train dispatcher shift scheduling}
}

Document

DOI: 10.4230/OASIcs.ATMOS.2018.1

Reformulations for Integrated Planning of Railway Traffic and Network Maintenance

Authors: Tomas Lidén

Published in: OASIcs, Volume 65, 18th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2018)

Abstract

This paper addresses the capacity planning problem of coordinating train services and network maintenance windows for a railway system. We present model reformulations, for a mixed integer linear optimization model, which give a mathematically stronger model and substantial improvements in solving performance - as demonstrated with computational experiments on a set of synthetic test instances. As a consequence, more instances can be solved to optimality within a given time limit and the optimality gap can be reduced quicker.

Cite as

Tomas Lidén. Reformulations for Integrated Planning of Railway Traffic and Network Maintenance. In 18th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2018). Open Access Series in Informatics (OASIcs), Volume 65, pp. 1:1-1:10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{liden:OASIcs.ATMOS.2018.1,
  author =	{Lid\'{e}n, Tomas},
  title =	{{Reformulations for Integrated Planning of Railway Traffic and Network Maintenance}},
  booktitle =	{18th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2018)},
  pages =	{1:1--1:10},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-096-5},
  ISSN =	{2190-6807},
  year =	{2018},
  volume =	{65},
  editor =	{Bornd\"{o}rfer, Ralf and Storandt, Sabine},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2018.1},
  URN =		{urn:nbn:de:0030-drops-97065},
  doi =		{10.4230/OASIcs.ATMOS.2018.1},
  annote =	{Keywords: Railway scheduling, Maintenance planning, Optimization}
}

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Documents authored by Lidén, Tomas

Two-Stage Weekly Shift Scheduling for Train Dispatchers

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Reformulations for Integrated Planning of Railway Traffic and Network Maintenance

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