Difference between revisions of "ApCoCoA-1:Latte.Maximize"

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<title>Latte.Maximize</title>
 
<title>Latte.Maximize</title>
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<item>@param <em>LesserEq</em>: A list of linear polynomials, which are equivalent to the lower or equal-part of the polyhedral constraints</item>
 
<item>@param <em>LesserEq</em>: A list of linear polynomials, which are equivalent to the lower or equal-part of the polyhedral constraints</item>
 
<item>@param <em>GreaterEq</em>: A list of linear polynomials, which are equivalent to the greater or equal-part of the polyhedral constraints</item>
 
<item>@param <em>GreaterEq</em>: A list of linear polynomials, which are equivalent to the greater or equal-part of the polyhedral constraints</item>
<item>@param <em>ObjectiveF</em>: A linear Polynomial</item>
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<item>@param <em>ObjectiveF</em>: A linear polynomial</item>
<item>@return A list [[Optimal coordinates], Optimal solution, [Coeffs of objective function]]</item>
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<item>@return A list <tt>[[Optimal coordinates], Optimal solution, [Coeffs of objective function]]</tt></item>
 
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   <type>apcocoaserver</type>
 
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<see>GLPK.LPSolve</see>
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<see>ApCoCoA-1:GLPK.LPSolve|GLPK.LPSolve</see>
  
 
<key>Latte</key>
 
<key>Latte</key>
 
<key>Maximize</key>
 
<key>Maximize</key>
 
<key>Latte.Maximize</key>
 
<key>Latte.Maximize</key>
<wiki-category>Package_latte</wiki-category>
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<wiki-category>ApCoCoA-1:Package_latte</wiki-category>
 
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Latest revision as of 10:10, 7 October 2020

This article is about a function from ApCoCoA-1.

Latte.Maximize

Maximizes the objective function over a polyhedral P given by a number of linear constraints.

Syntax

Latte.Maximize(Equations: LIST, LesserEq: LIST, GreaterEq: LIST, ObjectiveF: POLY):LIST

Description

Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.

  • @param Equations: A list of linear polynomials, which are equivalent to the equality-part of the polyhedral constraints

  • @param LesserEq: A list of linear polynomials, which are equivalent to the lower or equal-part of the polyhedral constraints

  • @param GreaterEq: A list of linear polynomials, which are equivalent to the greater or equal-part of the polyhedral constraints

  • @param ObjectiveF: A linear polynomial

  • @return A list [[Optimal coordinates], Optimal solution, [Coeffs of objective function]]

Example

Use S ::= QQ[x,y];
Equations := [];
LesserEq := [x-1, x+y-1];
GreaterEq := [x,y];
ObjectiveF := x + y;
Latte.Maximize(Equations, LesserEq, GreaterEq, ObjectiveF);

[[1, 0], 1, [1, 1]]
-------------------------------


GLPK.LPSolve