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4.7. Postoptimale analyser<br />

Skyggepriser<br />

• Reoptimering<br />

• Skyggepriser<br />

• Følsomhedsanalyse<br />

• Parametrisk programmering<br />

I et ressourceallokeringsproblem er skyggeprisen<br />

for ressource i: ∆Z ∗ /∆b i<br />

forudsat ændringen er lille nok<br />

Skyggeprisen fås fra det optimale tableau<br />

som koefficienten i række (0)<br />

til slackvariablen for ressource i<br />

Ikkebindende ressourcer har en skyggepris på 0<br />

4. Simplexmetoden – p. 29/31<br />

4. Simplexmetoden – p. 30/31<br />

Skyggepriser fortsat<br />

Z x 1 x 2 x 3 x 4 x 5<br />

1 −3 −5 0<br />

1 0 1 4 = b 1<br />

0 2 1 12 = b 2<br />

3 2 1 18 = b 3<br />

1 3/2 1 36 = Z ∗<br />

1 1/3 −1/3 2<br />

1 1/2 0 6<br />

1 −1/3 1/3 2<br />

∆Z ∗ /∆b 1 = 0, ∆Z ∗ /∆b 2 = 3/2, ∆Z ∗ /∆b 3 = 1<br />

4. Simplexmetoden – p. 31/31

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