We present the first approximate distance oracle for sparse directed networks with time-dependent arc-travel-times determined by continuous, piecewise linear, positive functions possessing the FIFO property. Our approach precomputes (1 + ε)-approximate distance summaries from selected landmark vertices to all other vertices in the network, and provides two sublinear-time query algorithms that deliver constant and (1 + σ)-approximate shortest-travel-times, respectively, for arbitrary origin-destination pairs in the network. Our oracle is based only on the sparsity of the network, along with two quite natural assumptions about travel-time functions which allow the smooth transition towards asymmetric and time-dependent distance metrics. © 2014 Springer-Verlag.
CITATION STYLE
Kontogiannis, S., & Zaroliagis, C. (2014). Distance oracles for time-dependent networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8572 LNCS, pp. 713–725). Springer Verlag. https://doi.org/10.1007/978-3-662-43948-7_59
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