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Partition gemischt ganzzahliger Programme

In: Methoden der Ganzzahligen Optimierung

Author

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  • Rainer E. Burkard

    (Universität Graz, Institut für Angewandte Mathematik)

Abstract

Zusammenfassung Benders [62] gab ein Verfahren an, wie man eine Optimierungsaufgabe der Form 10.1 $$\begin{gathered} \operatorname{Minimiere} c'x + d'y {unter den Restriktionen} \hfill \\ Ax + By \geqslant b \hfill \\ x \geqslant 0, y \geqslant 0 \hfill \\ {y_j} \in N f\ddot ur 1 \leqslant j \leqslant k \hfill \\ \end{gathered}$$ so in zwei Optimierungsaufgaben aufspalten kann, daß die eine von ihnen ein gewöhnliches lineares Programm und die andere ein rein ganzzahliges Optimierungsproblem ist. Dabei wird wesentlich vom Dualitätssatz Gebrauch gemacht.

Suggested Citation

  • Rainer E. Burkard, 1972. "Partition gemischt ganzzahliger Programme," Springer Books, in: Methoden der Ganzzahligen Optimierung, chapter 10, pages 225-231, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-8297-0_10
    DOI: 10.1007/978-3-7091-8297-0_10
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