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    A Hypergraph Network Simplex Algorithm (2017)
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    Publication Date: 2022-03-11
    Description: We describe a network simplex algorithm for the minimum cost flow problem on graph-based hypergraphs which are directed hypergraphs of a particular form occurring in railway rotation planning. The algorithm is based on work of Cambini, Gallo, and Scutellà who developed a hypergraphic generalization of the network simplex algorithm. Their main theoretical result is the characterization of basis matrices. We give a similar characterization for graph-based hypergraphs and show that some operations of the simplex algorithm can be done combinatorially by exploiting the underlying digraph structure.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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