addGenConstrMin ( resvar, vars, constant=None, name="" )

Add a new general constraint of type GRB.GENCONSTR_MIN to a model.

A MIN constraint $r = \min\{x_1,\ldots,x_n,c\}$ states that the resultant variable $r$ should be equal to the minimum of the operand variables $x_1,\ldots,x_n$ and the constant $c$.

You can also add a MIN constraint using the min_ function.


resvar (Var): The variable whose value will be equal to the min of the other variables.

vars (list of Var): The variables over which the min will be taken. Note that this list may also contain constants (type int, long, or float).

constant (float, optional): An additional operand that allows you to include a constant among the arguments of the min operation.

name (string, optional): Name for the new general constraint. Note that name will be stored as an ASCII string. Thus, a name like 'A${\rightarrow}$B' will produce an error, because '${\rightarrow}$' can not be represented as an ASCII character. Note also that names that contain spaces are strongly discouraged, because they can't be written to LP format files.

Example usage:

  # x5 = min(x1, x3, x4, 2.0)
  model.addGenConstrMin(x5, [x1, x3, x4], 2.0, "minconstr")

  # alternative form
  model.addGenConstrMin(x5, [x1, x3, x4, 2.0], name="minconstr")

  # overloaded forms
  model.addConstr(x5 == min_([x1, x3, x4, 2.0]), name="minconstr")
  model.addConstr(x5 == min_(x1, x3, x4, 2.0), name="minconstr")