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2007 Proceedings of the Ninth Workshop on Algorithm Engineering and Experiments (ALENEX)

In Transit to Constant Time Shortest-Path Queries in Road Networks

Abstract

When you drive to somewhere ‘far away’, you will leave your current location via one of only a few ‘important’ traffic junctions. Starting from this informal observation, we develop an algorithmic approach—transit node routing—that allows us to reduce quickest-path queries in road networks to a small number of table lookups. We present two implementations of this idea, one based on a simple grid data structure and one based on highway hierarchies. For the road map of the United States, our best query times improve over the best previously published figures by two orders of magnitude. Our results exhibit various trade-offs between average query time (5 μs to 63 μs), preprocessing time (59 min to 1200 min), and storage overhead (21 bytes/node to 244 bytes/node).

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cover image Proceedings
2007 Proceedings of the Ninth Workshop on Algorithm Engineering and Experiments (ALENEX)
Pages: 46 - 59
Editors: David Applegate, AT&T Labs-Research, Florham Park, New Jersey and Gerth Stølting Brodal, University of Aarhus, Aarhus, Denmark
ISBN (Online): 978-1-61197-287-0

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Published online: 18 December 2013

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*
Partially supported by DFG grant SA 933/1-3, by the EU within the 6th Framework Programme under contract 001907 “Dynamically Evolving Large Scale Information Systems” (DELIS), and by the Max Planck Center for Visual Computing and Communication (MPC-VCC) funded by the German Federal Ministry of Education and Research (FKZ 01IMC01).

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