We present signi\ufb01cant improvements to a practical algorithm for the point-to-point shortest path problem on road networks that combines A\u2217 search, landmark-based lower bounds, and reach-based pruning. Through reach-aware landmarks, better use of cache, and improved algorithms for reach computation, we make preprocessing and queries faster while reducing the overall space requirements. On the road networks of the USA or Europe, the shortest path between two random vertices can be found in about one millisecond after one or two hours of preprocessing. The algorithm is also e\ufb00ective on two-dimensional grids.<\/p>\n","protected":false},"excerpt":{"rendered":"
We present signi\ufb01cant improvements to a practical algorithm for the point-to-point shortest path problem on road networks that combines A\u2217 search, landmark-based lower bounds, and reach-based pruning. Through reach-aware landmarks, better use of cache, and improved algorithms for reach computation, we make preprocessing and queries faster while reducing the overall space requirements. 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