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Transport- und Zuordnungsprobleme

In: Methoden der Ganzzahligen Optimierung

Author

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  • Rainer E. Burkard

    (Universität Graz, Institut für Angewandte Mathematik)

Abstract

Zusammenfassung Im Jahre 1939 veröffentlichte Kantorowitsch [60] eine grundlegende Studie über die Anwendung mathematischer Methoden in der Organisation und Produktionsplanung und stellte in dieser Arbeit erstmals ein Zuordnungsmodell auf. Das in diesem Kapitel vorwiegend behandelte „klassische“ Transportmodell wurde von Hitchcock [41] und Koopmans [49] entwickelt. Der in den Abschnitten 4.2 bis 4.4 beschriebene Transportalgorithmus, der eine Spezialisierung des allgemeinen Simplexverfahrens ist, geht auf Dantzig [5la] zurück, ebenso wie das kapazitierte Transportmodell im Abschnitt 4.7 (vgl. Dantzig [55]). Das Modell des Abschnittes 4.6 geht auf Orden [56] zurück.

Suggested Citation

  • Rainer E. Burkard, 1972. "Transport- und Zuordnungsprobleme," Springer Books, in: Methoden der Ganzzahligen Optimierung, chapter 4, pages 54-93, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-8297-0_4
    DOI: 10.1007/978-3-7091-8297-0_4
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