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Die Ungarische Methode zur Lösung des Zuordnungsproblemes

In: Methoden der Ganzzahligen Optimierung

Author

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  • Rainer E. Burkard

    (Universität Graz, Institut für Angewandte Mathematik)

Abstract

Zusammenfassung Wie wir bereits im ersten Abschnitt des vorigen Kapitels sahen, kann ein Zuordnungsproblem in folgender Weise formuliert werden: Gesucht wird ein Vektor x′= (x11, x12,..., xnn,), so daß c′x minimal wird unter den Restriktionen $$\sum\limits_{{i = 1}}^{n} {{{x}_{{ij}}} = 1 fur j = 1,2, \ldots n}$$ $$\sum\limits_{{j = 1}}^{n} {{{x}_{{ij}}} = 1 fur i = 1,2, \ldots n}$$ und xij∈{0,1} für i = 1,2,…,n, j=1,2,…,n.

Suggested Citation

  • Rainer E. Burkard, 1972. "Die Ungarische Methode zur Lösung des Zuordnungsproblemes," Springer Books, in: Methoden der Ganzzahligen Optimierung, chapter 5, pages 94-114, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-8297-0_5
    DOI: 10.1007/978-3-7091-8297-0_5
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