Am Beispiel [br]3x+1,5y -> min [br]unter den Nebenbedingungen [br]I:20x+30y≥180000, II: 20x+30y≤210000, III: x+y=8000[br][br]Überführung in ein duales Programm das mit dem Max-Simplex-Algorithmus bearbeitet werden kann. [br]Die Nebenbedingungen von Min Systemen müssen auf die Form f(x)≥ b gebracht werden. [br]Ändere II in: -20x-30y≥-210000 [br]und stelle die Daten in eine Matrix, die transponiert wird (tausche Zeilen/Spalten). Durch Einfügen von Basis/Schlupfvariablen zum einem Max Programm transformieren [br]([size=85][color=#1C4587]die Zielfunktion steht in der letzten Zeile - auch im Max-Simplex-Applet muß darauf geachtet werden:[/color] Zf->letzte Zeile[/size]):[br][br][img]data:image/png;base64,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[/img][br][br]Das Applet SimplexAlgorithmusDualMax2Min.ggb erstellt aus einem Gleichungssystem (Nebenbedingungen, Zielfunktion in Gleichungen eingeben [math]\longrightarrow[/math]DualP) ein Duales Programm zur Minimierung [math]\longrightarrow[/math] DualTab, das mit [url=https://www.geogebra.org/m/Dnv36wMy]Max-Simplex-Algorithmus[/url] gearbeitet werden kann.[br][br]Die Min-Gleichungen [i](b*10^3[/i])[br][math]DualP \, := \, \left\{ 20 \; x1 + 30 \; x2 = 180, -20 \; x1 - 30 \; x2 = -210, x1 + x2 = 8, 3 \; x1 + \frac{3}{2} \; x2 = 0 \right\} [/math][br][br]Ausgabe des Start-Tableau für ein duales Programm Min - Algorithmus Max-Programm[br][br][i]Start-DualTableau[/i][br][math]A1 \, := \, \left(\begin{array}{rrrrrr}20&-20&1&1&0&3\\30&-30&1&0&1&\frac{3}{2}\\-180&210&-8&0&0&0\\\end{array}\right)[/math] [size=85]PivotSpl=[color=#1155Cc]1[/color], PivotZle=[color=#1155Cc]2[/color][/size][br][i][br]copy to A1[/i][br][math]A2 \, := \, \left(\begin{array}{rrrrrr}0&0&\frac{1}{3}&1&\frac{-2}{3}&2\\1&-1&\frac{1}{30}&0&\frac{1}{30}&\frac{1}{20}\\0&30&-2&0&6&9\\\end{array}\right)[/math] [size=85]PivotSpl=[color=#1155Cc]3[/color], PivotZle=[color=#1155Cc]2[/color][/size][br][i][br]copy to A1[/i][br][math]A2 \, := \, \left(\begin{array}{rrrrrr}-10&10&0&1&-1&\frac{3}{2}\\30&-30&1&0&1&\frac{3}{2}\\60&-30&0&0&8&12\\\end{array}\right)[/math] [size=85]PivotSpl=[color=#1155Cc]2[/color], PivotZle=[color=#1155Cc]1[br][/color][/size][br][i]End-Tableau, Auswertung[/i][br][math]A2 \, := \, \left(\begin{array}{cccccc}-1&1&0&0.1&-0.1&0.15\\0&0&1&3&-2&6\\30&0&0&\textcolor{red}{3}_{x1\times10^{3}}&\textcolor{red}{5}_{x2\times10^{3}}&\textcolor{red}{16.5}_{10^{3}min}\\\end{array}\right)[/math][br][br]Identifiziere an hand der 2./3. Spalte (gegen transponierten Lösungsvektor) [br]x=3000, y=5000, min->16500[br]
Rechte Seite: b/1000[br]x+y=8 ==> x+y>=8 /\ x+y<=8
[url=http://hawehofmann.bplaced.net/simplex/SimplexByKenjiIkeda.html]Simplex Demo by Kenij Ikeda[/url] [br][br][br]Transscipt Example Data to: 30,-30,1,3/2; 20,-20,1,3; -180000,210000,-8000,0;[br]!enter fractions instead of decimal numbers, closing semicolon![br][br]Ich hab nur das Eingabefeld für Daten ergänzt - sehr schön gemachte Schritt für Schritt Demo![br][br][br]