License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.ATMOS.2019.11
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/11423/
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Anthony, Barbara M. ; Birnbaum, Ricky ; Boyd, Sara ; Christman, Ananya ; Chung, Christine ; Davis, Patrick ; Dhimar, Jigar ; Yuen, David

Maximizing the Number of Rides Served for Dial-a-Ride

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OASIcs-ATMOS-2019-11.pdf (0.5 MB)

Abstract

We study a variation of offline Dial-a-Ride, where each request has not only a source and destination, but also a revenue that is earned for serving the request. We investigate this problem for the uniform metric space with uniform revenues. While we present a study on a simplified setting of the problem that has limited practical applications, this work provides the theoretical foundation for analyzing the more general forms of the problem. Since revenues are uniform the problem is equivalent to maximizing the number of served requests. We show that the problem is NP-hard and present a 2/3 approximation algorithm. We also show that a natural generalization of this algorithm has an approximation ratio at most 7/9.

BibTeX - Entry

@InProceedings{anthony_et_al:OASIcs:2019:11423,
  author =	{Barbara M. Anthony and Ricky Birnbaum and Sara Boyd and Ananya Christman and Christine Chung and Patrick Davis and Jigar Dhimar and David Yuen},
  title =	{{Maximizing the Number of Rides Served for Dial-a-Ride}},
  booktitle =	{19th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2019)},
  pages =	{11:1--11:15},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-128-3},
  ISSN =	{2190-6807},
  year =	{2019},
  volume =	{75},
  editor =	{Valentina Cacchiani and Alberto Marchetti-Spaccamela},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11423},
  doi =		{10.4230/OASIcs.ATMOS.2019.11},
  annote =	{Keywords: dial-a-ride, revenue maximization, approximation algorithm, vehicle routing}
}

Keywords: dial-a-ride, revenue maximization, approximation algorithm, vehicle routing
Collection: 19th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2019)
Issue Date: 2019
Date of publication: 15.11.2019

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