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29Someone who worked on this in the real world, awesome! Do you have any idea how much it's possible to precompute, as in the article about Google mentioned in another comment?– A. RexCommented Jan 11, 2009 at 18:33
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10We didn't do any preprocessing of that nature, but it certainly seems like an interesting optimisation.– Nick JohnsonCommented Jan 13, 2009 at 10:17
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29"it's only guaranteed to produce a solution, not necessarily the most efficient one" This is untrue; as long as the heuristic used is admissible, the A* algorithm produces the least-cost path. Admissible means that the cost is never over-estimated, but it may be underestimated (but poor estimates will slow the algorithm). Using data from pre-processing is likely to aid in making a better admissible heuristic, and therefore making A* work faster.– a1kmmCommented Nov 3, 2009 at 1:02
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6Actually, on further consideration, you're entirely right. You could enhance an existing algorithm to make use of this by simply adding the Great Circle Distance between the target node and the destination to the cost of the edge being evaluated. I'm actually not sure if our algorithm did that - but it's a very sensible optimization.– Nick JohnsonCommented Nov 3, 2009 at 23:18
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12A*, in the worst case (a heuristic that says all paths are equivalent), is exactly equal to Djikstra's.– TordekCommented Oct 26, 2010 at 22:32
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