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.SEA.2017.19
URN: urn:nbn:de:0030-drops-76088
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7608/
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Baum, Moritz ; Sauer, Jonas ; Wagner, Dorothea ; Zündorf, Tobias

Consumption Profiles in Route Planning for Electric Vehicles: Theory and Applications

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LIPIcs-SEA-2017-19.pdf (0.5 MB)


Abstract

In route planning for electric vehicles (EVs), consumption profiles are a functional representation of optimal energy consumption between two locations, subject to initial state of charge. Efficient computation of profiles is a relevant problem on its own, but also a fundamental ingredient to many route planning approaches for EVs. In this work, we show that the complexity of a profile is at most linear in the graph size. Based on this insight, we derive a polynomial-time algorithm for the problem of finding an energy-optimal path between two locations that allows stops at charging stations. Exploiting efficient profile search, our approach also allows partial recharging at charging stations to save energy. In a sense, our results close the gap between efficient techniques for energy-optimal routes (based on simpler models) and NP-hard time-constrained problems involving charging stops for EVs. We propose a practical implementation, which we carefully integrate with Contraction Hierarchies and A* search. Even though the practical variant formally drops correctness, a comprehensive experimental study on a realistic, large-scale road network reveals that it always finds the optimal solution in our tests and computes even long-distance routes with charging stops in less than 300 ms.

BibTeX - Entry

@InProceedings{baum_et_al:LIPIcs:2017:7608,
  author =	{Moritz Baum and Jonas Sauer and Dorothea Wagner and Tobias Z{\"u}ndorf},
  title =	{{Consumption Profiles in Route Planning for Electric Vehicles: Theory and Applications}},
  booktitle =	{16th International Symposium on Experimental Algorithms (SEA 2017)},
  pages =	{19:1--19:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-036-1},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{75},
  editor =	{Costas S. Iliopoulos and Solon P. Pissis and Simon J. Puglisi and Rajeev Raman},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7608},
  URN =		{urn:nbn:de:0030-drops-76088},
  doi =		{10.4230/LIPIcs.SEA.2017.19},
  annote =	{Keywords: electric vehicles, charging station, shortest paths, route planning, profile search, algorithm engineering}
}

Keywords: electric vehicles, charging station, shortest paths, route planning, profile search, algorithm engineering
Collection: 16th International Symposium on Experimental Algorithms (SEA 2017)
Issue Date: 2017
Date of publication: 07.08.2017


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