By Jean-Jacques Samueli, Jean-Claude Boudenott
ISBN-10: 2729827889
ISBN-13: 9782729827885
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Extra resources for 30 ouvrages de mathématiques qui ont changé le monde
Example text
Tnitato ~S è un poliedro convesso che çQmhinazione convessa di un numero finito di punt1 -estrem1. 3 - :a funzi~ob~~ineare z = d + c - al poli~dro - 2 T ! con x appaT~~ S. : ~i punti estremi di S. Allora ogni punto zione come: i : 1,2, ... k con .. e 'À l + 2 + ••_•• + 'Àk- l c x : i ... l, 2 • •••. k } si ha - -i l T d + c x > (À + À2 * ...... ~ )z* "" k l T e quindi i l minimo di d + c x su s è z* ora posto z)' DUO {d + 1 z• Teorema 3. L. anda·nrallora-ès~lmeno un~sol uzione _ba- se ~ssibile ottima.
X3, x4, xs · x6 >o che è anche in forma canonica r ispe tto agli indici di base mi danno la base iniziale B • [~ ·~s·~ ]=l S = {4 , S, 6} che 3 e la seguente tabella o l 9 l l 2 2 l l -1 4 r-1 l 0 o o o l o o o o l o o l applicando il metodo del simplesso si ha l'operazione di pivot = in a33 - l (B 16 f-) 1 KD 6 o 4 -1 [24 '~5 '~3]) 5 o o o -l o l o -2 2 o l l l l o o o l 4 e po1. --- - la base ottima B~': è data dalle colonne _! J o l cioè: -2/3] l o 1/3 4. 9 Riduzione alla• forma canonica. Per applicare il metodo del simplesso è richiesta una soluzione ammissibile di base disponibile a partire da una forma canonica di partenza.
O X. J J J -49- Esempio Min z z .. xl + x2 - 4x 3 xl + x2 + 2x3 xl + x 2 x3 ~ 2 -xl + x2 + x , xl, x2 3 x3 ~ 9 S 4 ~ o introducendo x ,x , x 4 5 6 come variabili ausiliarie s i ba la se- guente forma standard Mio z .. 9 2 4 xl, x2 . x3, x4, xs · x6 >o che è anche in forma canonica r ispe tto agli indici di base mi danno la base iniziale B • [~ ·~s·~ ]=l S = {4 , S, 6} che 3 e la seguente tabella o l 9 l l 2 2 l l -1 4 r-1 l 0 o o o l o o o o l o o l applicando il metodo del simplesso si ha l'operazione di pivot = in a33 - l (B 16 f-) 1 KD 6 o 4 -1 [24 '~5 '~3]) 5 o o o -l o l o -2 2 o l l l l o o o l 4 e po1.
30 ouvrages de mathématiques qui ont changé le monde by Jean-Jacques Samueli, Jean-Claude Boudenott
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