unimore/triennale-appunti-steffo
unimore/triennale-appunti-steffo
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Lezione 7

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Steffo 2020-03-31 00:37:46 +02:00
parent 49cf602ffc
commit e88e28a8f6
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39
src/routes/ottimizzazioneLineare.js
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@ -4,6 +4,8 @@ import Latex from "../components/latex";
import Panel from "../components/panel"; import Panel from "../components/panel";
import Example from "../components/example"; import Example from "../components/example";
import Todo from "../components/todo"; import Todo from "../components/todo";
import Minus from "../components/minus";
import Plus from "../components/plus";
const r = String.raw; const r = String.raw;
@ -193,6 +195,43 @@ export default class OttimizzazioneLineare extends Component {
</ul> </ul>
</Panel> </Panel>
</Split> </Split>
<Split title={"Forme"}>
<Panel title={"Forma standard"}>
<ul>
<li><Minus>Solo equazioni</Minus></li>
<li><Minus>Tutte le variabili maggiori di zero</Minus></li>
</ul>
</Panel>
<Panel title={"Forma canonica"}>
<ul>
<li><Plus>Equazioni e disequazioni</Plus></li>
<li><Minus>Tutte le variabili maggiori di zero</Minus></li>
</ul>
</Panel>
<Panel title={"Forma generale"}>
<ul>
<li><Plus>Equazioni e disequazioni</Plus></li>
<li><Plus>Tutte le variabili maggiori di zero</Plus></li>
</ul>
</Panel>
</Split>
<Split title={"Equivalenza di forma"}>
<Panel title={"Da generale a canonica"}>
<p>
Sostituiamo le variabili potenzialmente negative (unconstrained) <Latex>{r`x_j`}</Latex> con due variabili <Latex>{r`x_j^+`}</Latex> e <Latex>{r`x_j^-`}</Latex>.
</p>
</Panel>
<Panel title={"Da canonica a standard"}>
<p>
Convertiamo le disequazioni in equazioni aggiungendo una variabile slack.
</p>
</Panel>
<Panel title={"Da standard a generale"}>
<p>
Convertiamo ogni equazione <Latex>{r`=`}</Latex> in due disequazioni <Latex>{r`\leq`}</Latex> e <Latex>{r`\geq`}</Latex>,
</p>
</Panel>
</Split>
</div> </div>
) )
} }