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Model.addGenConstrPow()
addGenConstrPow ( xvar, yvar, a, name="", options="" )
Add a new general constraint of type GRB.GENCONSTR_POW to a model.
A power function constraint states that the relationship should hold for variables and , where is the (constant) exponent.
If the exponent is negative, the lower bound on must be strictly positive. If the exponent isn't an integer, the lower bound on must be non-negative.
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. Alternatively, the function can be treated as a nonlinear constraint by setting the attribute FuncNonlinear. For details, consult the General Constraint discussion.
Arguments:
xvar (Var): The variable.
yvar (Var): The variable.
a (float): The exponent of the function.
name (string, optional): Name for the new general constraint.
options (string, 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.
Example usage:
# y = x^3.5 gc = model.addGenConstrPow(x, y, 3.5, "gf", "FuncPieces=1000")