Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Gaul, Daniela; Klamroth, Kathrin; Stiglmayr, Michael https://www.dagstuhl.de/oasics License: Creative Commons Attribution 4.0 license (CC BY 4.0)
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URN: urn:nbn:de:0030-drops-148776
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Solving the Dynamic Dial-a-Ride Problem Using a Rolling-Horizon Event-Based Graph

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Abstract

In many ridepooling applications transportation requests arrive throughout the day and have to be answered and integrated into the existing (and operated) vehicle routing. To solve this dynamic dial-a-ride problem we present a rolling-horizon algorithm that dynamically updates the current solution by solving an MILP formulation. The MILP model is based on an event-based graph with nodes representing pick-up and drop-off events associated with feasible user allocations in the vehicles. The proposed solution approach is validated on a set of real-word instances with more than 500 requests. In 99.5% of all iterations the rolling-horizon algorithm returned optimal insertion positions w.r.t. the current schedule in a time-limit of 30 seconds. On average, incoming requests are answered within 2.8 seconds.

BibTeX - Entry

@InProceedings{gaul_et_al:OASIcs.ATMOS.2021.8,
  author =	{Gaul, Daniela and Klamroth, Kathrin and Stiglmayr, Michael},
  title =	{{Solving the Dynamic Dial-a-Ride Problem Using a Rolling-Horizon Event-Based Graph}},
  booktitle =	{21st Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2021)},
  pages =	{8:1--8:16},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-213-6},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{96},
  editor =	{M\"{u}ller-Hannemann, Matthias and Perea, Federico},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/14877},
  URN =		{urn:nbn:de:0030-drops-148776},
  doi =		{10.4230/OASIcs.ATMOS.2021.8},
  annote =	{Keywords: Dial-a-Ride Problem, Ridepooling, Event-Based MILP, Rolling-Horizon, Dynamic Requests}
}

Keywords: Dial-a-Ride Problem, Ridepooling, Event-Based MILP, Rolling-Horizon, Dynamic Requests
Seminar: 21st Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2021)
Issue date: 2021
Date of publication: 27.09.2021


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