Customizable Contraction Hierarchies with Turn Costs

Buchhold, Valentin; Wagner, Dorothea; Zeitz, Tim; Zündorf, Michael

doi:10.4230/oasics.atmos.2020.9

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2021

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“…, V (G Y d−1 ), and π d is an arbitrary order on X. (In the presence of turn costs, picking π d carefully improves performance [10].) We denote by π −1 (v) the rank of v in π.…”

Section: Nested Dissection Ordersmentioning

confidence: 99%

Nearest-Neighbor Queries in Customizable Contraction Hierarchies and Applications

Buchhold¹,

Wagner²

2021

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Customizable contraction hierarchies are one of the most popular route planning frameworks in practice, due to their simplicity and versatility. In this work, we present a novel algorithm for finding k-nearest neighbors in customizable contraction hierarchies by systematically exploring the associated separator decomposition tree. Compared to previous bucket-based approaches, our algorithm requires much less target-dependent preprocessing effort. Moreover, we use our novel approach in two concrete applications. The first application are online k-closest point-of-interest queries, where the points of interest are only revealed at query time. We achieve query times of about 25 milliseconds on a continental road network, which is fast enough for interactive systems. The second application is travel demand generation. We show how to accelerate a recently introduced travel demand generator by a factor of more than 50 using our novel nearest-neighbor algorithm.

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“…, V (G Y d−1 ), and π d is an arbitrary order on X. (In the presence of turn costs, picking π d carefully improves performance [10].) We denote by π −1 (v) the rank of v in π.…”

Section: Nested Dissection Ordersmentioning

confidence: 99%