An optimal randomized online algorithm for the k-Canadian Traveller Problem on node-disjoint paths

We consider the k -Canadian Traveller Problem, which asks for a shortest path between two nodes s and t in an undirected graph, where up to k edges may be blocked. An online algorithm learns about a blocked edge when reaching one of its endpoints. Recently, it has been shown that no randomized onlin...

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Veröffentlicht in:Journal of combinatorial optimization 2015-07, Vol.30 (1), p.87-96
Hauptverfasser: Bender, Marco, Westphal, Stephan
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the k -Canadian Traveller Problem, which asks for a shortest path between two nodes s and t in an undirected graph, where up to k edges may be blocked. An online algorithm learns about a blocked edge when reaching one of its endpoints. Recently, it has been shown that no randomized online algorithm can be better than ( k + 1 ) -competitive, even if all s - t -paths are node-disjoint. We show that the bound is tight by constructing a randomized online algorithm for this case that achieves the ratio against an oblivious adversary and is therefore best possible.
ISSN:1382-6905
1573-2886
DOI:10.1007/s10878-013-9634-8