License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.MFCS.2016.36
URN: urn:nbn:de:0030-drops-64506
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6450/
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Fanelli, Angelo ; Gianluigi, Greco

Ride Sharing with a Vehicle of Unlimited Capacity

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LIPIcs-MFCS-2016-36.pdf (1 MB)


Abstract

A ride sharing problem is considered where we are given a graph, whose edges are equipped with a travel cost, plus a set of objects, each associated with a transportation request given by a pair of origin and destination nodes. A vehicle travels through the graph, carrying each object from its origin to its destination without any bound on the number of objects that can be simultaneously transported. The vehicle starts and terminates its ride at given nodes, and the goal is to compute a minimum-cost ride satisfying all requests. This ride sharing problem is shown to be tractable on paths by designing a O(h*log(h)+n) algorithm, with h being the number of distinct requests and with n being the number of nodes in the path. The algorithm is then used as a subroutine to efficiently solve instances defined over cycles, hence covering all graphs with maximum degree 2. This traces the frontier of tractability, since NP-hard instances are exhibited over trees whose maximum degree is 3.

BibTeX - Entry

@InProceedings{fanelli_et_al:LIPIcs:2016:6450,
  author =	{Angelo Fanelli and Greco Gianluigi},
  title =	{{Ride Sharing with a Vehicle of Unlimited Capacity}},
  booktitle =	{41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)},
  pages =	{36:1--36:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-016-3},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{58},
  editor =	{Piotr Faliszewski and Anca Muscholl and Rolf Niedermeier},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6450},
  URN =		{urn:nbn:de:0030-drops-64506},
  doi =		{10.4230/LIPIcs.MFCS.2016.36},
  annote =	{Keywords: vehicle routing, ride sharing, pick up and delivery problem}
}

Keywords: vehicle routing, ride sharing, pick up and delivery problem
Collection: 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)
Issue Date: 2016
Date of publication: 19.08.2016


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