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2009 IEEE 25th International Conference on Data Engineering (2009)
Mar. 29, 2009 to Apr. 2, 2009
ISSN: 1084-4627
ISBN: 978-0-7695-3545-6
pp: 652-663
ABSTRACT
The popularity of location-based services and the need to do real-time processing on them has led to an interest in performing queries on transportation networks, such as finding shortest paths and finding nearest neighbors. The challenge is that these operations involve the computation of distance along a spatial network rather than "as the crow flies." In many applications an estimate of the distance is sufficient, which can be achieved by use of an oracle. An approximate distance oracle is proposed for spatial networks that exploits the coherence between the spatial position of vertices and the network distance between them. Using this observation, a distance oracle is introduced that is able to obtain the epsilon-approximate network distance between two vertices of the spatial network. The network distance between every pair of vertices in the spatial network is efficiently represented by adapting the well-separated pair technique to spatial networks. Initially, use is made of an epsilon-approximate distance oracle of size O( n / epsilon^d ) that is capable of retrieving the approximate network distance in O(logn) time using a B-tree. The retrieval time can be theoretically reduced further to O(1) time by proposing another e-approximate distance oracle of size O(n log n / epsilon^d) that uses a hash table. Experimental results indicate that the proposed technique is scalable and can be applied to sufficiently large road networks. A 10%-approximate oracle (epsilon = 0.1) on a large network yielded an average error of 0.9% with 90% of the answers making an error of 2% or less and an average retrieval timeof 68
INDEX TERMS
distance oracles, spatial networks, road networks, network distance, nearest neighbors, distance joins, relational databases
CITATION

J. Sankaranarayanan and H. Samet, "Distance Oracles for Spatial Networks," 2009 IEEE 25th International Conference on Data Engineering(ICDE), vol. 00, no. , pp. 652-663, 2009.
doi:10.1109/ICDE.2009.53
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