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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Computing 36 (1986), S. 263-270 
    ISSN: 1436-5057
    Keywords: 90C10 ; Matching problem ; assignment problem ; computational results
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Wir zeigen wie optimale „Fractional Matchings”, d. h. optimale Lösungen der LP-Relaxation des Matching-Problems, benutzt werden können, um Ausgangslösungen für die kürzeste erweiternde Wege-Methode zur Lösung des Matching-Problems zu konstruieren. Numerische Untersuchungen zeigen, daß diese Startprozedur höchst effizient ist und den Aufwand für den eigentlichen Matching-Algorithmus signifikant reduziert, so daß die Gesamtrechenzeit drastisch reduziert wird.
    Notes: Abstract We show how optimal fractional matchings can be used to start the shortest augmenting path method for solving the (integer) matching problem. Computational results are presented which indicate that this start procedure is highly efficient, i.e. it is fast and reduces the amount of work for the shortest augementing path method significantly such that the overall computing time is reduced drastically.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 50 (1991), S. 113-121 
    ISSN: 1436-4646
    Keywords: Matching problem ; two-phase approach ; fast matching algorithms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
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