Function GMP::Column::GetUpperBound(GMP, column)


The function GMP::Column::GetUpperBound returns the upper bound of a column in the generated mathematical program.

     GMP,            ! (input) a generated mathematical program
     column          ! (input) a scalar reference or column number



An element in AllGeneratedMathematicalPrograms.


A scalar reference to an existing column in the matrix or an element in the set Integers in the range \(\{ 0 .. n-1 \}\) where \(n\) is the number of columns in the matrix.

Return Value

The upper bound value for the specified column.


  • If the column has a unit then the scaled upper bound is returned (without unit).

  • This function can be used to retrieve the upper bound after presolving in case the GMP was created by GMP::Instance::CreatePresolved, even if the column was deleted by the AIMMS Presolver.


Assume that ‘x1’ is a variable in mathematical program ‘MP’ with a unit as defined by:

Quantity SI_Mass {
    BaseUnit      :  kg;
    Conversions   :  ton -> kg : # -> # * 1000;
Parameter max_wght {
    Unit          :  ton;
    InitialValue  :  20;
Variable x1 {
    Range         :  [0, max_wght];
    Unit          :  ton;

If we want to multiply the upper bound by 1.5 and assign it as the new value by using function GMP::Column::SetUpperBound we can use

ub1 := 1.5 * (GMP::Column::GetUpperBound( 'MP', x1 )) [ton];

GMP::Column::SetUpperBound( 'MP', x1, ub1 );

if ‘ub1’ is a parameter with unit [ton], or we can use

ub2 := 1.5 * GMP::Column::GetUpperBound( 'MP', x1 );

GMP::Column::SetUpperBound( 'MP', x1, ub2 * GMP::Column::GetScale( 'MP', x1 ) );

if ‘ub2’ is a parameter without a unit.