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DOI: 10.4230/OASIcs.ATMOS.2023.18

Simple Policies for Capacitated Resupply Problems (Short Paper)

Authors: Mette Wagenvoort, Martijn van Ee, Paul Bouman, and Kerry M. Malone

Published in: OASIcs, Volume 115, 23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023)

Abstract

We consider the Capacitated Resupply Problem in which locations with a given demand rate should be resupplied by vehicles such that they do not run out of stock and the number of vehicles is minimised. Compared to related problems, we consider the scenario where the payload of the vehicles may not suffice to bring the stock level back to full capacity. We focus on the Homogeneous Capacitated Resupply Problem and present both simple policies that provide 2-approximations and an optimal greedy policy that runs in pseudo-polynomial time.

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Mette Wagenvoort, Martijn van Ee, Paul Bouman, and Kerry M. Malone. Simple Policies for Capacitated Resupply Problems (Short Paper). In 23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023). Open Access Series in Informatics (OASIcs), Volume 115, pp. 18:1-18:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{wagenvoort_et_al:OASIcs.ATMOS.2023.18,
  author =	{Wagenvoort, Mette and van Ee, Martijn and Bouman, Paul and Malone, Kerry M.},
  title =	{{Simple Policies for Capacitated Resupply Problems}},
  booktitle =	{23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023)},
  pages =	{18:1--18:6},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-302-7},
  ISSN =	{2190-6807},
  year =	{2023},
  volume =	{115},
  editor =	{Frigioni, Daniele and Schiewe, Philine},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2023.18},
  URN =		{urn:nbn:de:0030-drops-187799},
  doi =		{10.4230/OASIcs.ATMOS.2023.18},
  annote =	{Keywords: resupply problems, periodic schedules, approximation guarantee, greedy policy}
}

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Simple Policies for Capacitated Resupply Problems (Short Paper)

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