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Solving (large scale) matching problems combinatorially

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Abstract

In this paper we describe computational results for a modification of the shortest augmenting path approach for solving large scale matching problems. Using a new assignment start procedure and the two-phase strategy, where first the problem is solved on a sparse subgraph and then reoptimization is used, matching problems on complete graphs with 1000 nodes are solved in about 10–15 seconds on an IBM 4361.

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This work was partially supported by Sonderforschungsbereich 303, University of Bonn, and a special grant from the Deutsche Forschungsgemeinschaft.

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Derigs, U., Metz, A. Solving (large scale) matching problems combinatorially. Mathematical Programming 50, 113–121 (1991). https://doi.org/10.1007/BF01594929

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  • DOI: https://doi.org/10.1007/BF01594929

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