ApCoCoA-1:Latte.Minimize

Latte.Minimize

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

Syntax

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

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 The optimal value of the objective function

Example

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

[[0], "No optimal solution found", [0]]
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