GRBModel::addGenConstrPow()

Add a new general constraint of type GRB_GENCONSTR_POW to a model.

A power function constraint states that the relationship $y = x^a$ should hold for variables $x$ and $y$, where $a$ is the (constant) exponent. The lower bound of variable $x$ must be nonnegative, even if $a$ is an integer, and $x > 0$ if $a < 0$.

A piecewise-linear approximation of the function is added to the model. The details of the approximation are controlled using the following four attributes (or using the parameters with the same names): FuncPieces, FuncPieceError, FuncPieceLength, and FuncPieceRatio. For details, consult the General Constraint discussion.

GRBGenConstr addGenConstrPow ( GRBVar xvar,
    GRBVar yvar,
    double a,
    std::string name="",
    std::string options="" )

Arguments:

xvar: The $x$ variable.

yvar: The $y$ variable.

a: The exponent of the function.

name (optional): Name for the new general constraint.

options (optional): A string that can be used to set the attributes that control the piecewise-linear approximation of this function constraint. To assign a value to an attribute, follow the attribute name with an equal sign and the desired value (with no spaces). Assignments for different attributes should be separated by spaces (e.g. "FuncPieces=-1 FuncPieceError=0.001").

Return value:

New general constraint.