Algorithm Engineering

Volume 9220 of the series Lecture Notes in Computer Science pp 19-80


Route Planning in Transportation Networks

  • Hannah BastAffiliated withUniversity of Freiburg
  • , Daniel DellingAffiliated withApple Inc.
  • , Andrew GoldbergAffiliated withAmazon
  • , Matthias Müller-HannemannAffiliated withMartin-Luther-Universität Halle-Wittenberg
  • , Thomas PajorAffiliated withMicrosoft Research Email author 
  • , Peter SandersAffiliated withKarlsruhe Institute of Technology
  • , Dorothea WagnerAffiliated withKarlsruhe Institute of Technology
  • , Renato F. WerneckAffiliated withAmazon

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We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide different trade-offs between preprocessing effort, space requirements, and query time. Some algorithms can answer queries in a fraction of a microsecond, while others can deal efficiently with real-time traffic. Journey planning on public transportation systems, although conceptually similar, is a significantly harder problem due to its inherent time-dependent and multicriteria nature. Although exact algorithms are fast enough for interactive queries on metropolitan transit systems, dealing with continent-sized instances requires simplifications or heavy preprocessing. The multimodal route planning problem, which seeks journeys combining schedule-based transportation (buses, trains) with unrestricted modes (walking, driving), is even harder, relying on approximate solutions even for metropolitan inputs.