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    Optimal Forks: Preprocessing Single-Source Shortest Path Instances with Interval Data (2021)
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    Publication Date: 2021-09-30
    Description: We investigate preprocessing for single-source shortest path queries in digraphs, where arc costs are only known to lie in an interval. More precisely, we want to decide for each arc whether it is part of some shortest path tree for some realization of costs. We show that this problem is solvable in polynomial time by giving a combinatorial algorithm, using optimal structures that we call forks. Our algorithm turns out to be very efficient in practice, and is sometimes even superior in quality to a heuristic developed for the one-to-one shortest path problem in the context of passenger routing in public transport.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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