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## Adding constraints to the model

The next step in the example is to add the linear constraints:

      // Add constraint: x + 2 y + 3 z <= 4
model.AddConstr(x + 2 * y + 3 * z <= 4.0, "c0");


As with variables, constraints are always associated with a specific model. They are created using the AddConstr() or AddConstrs() methods on the model object.

We again use overloaded arithmetic operators to build linear expressions. The comparison operators are also overloaded to make it easier to build constraints.

The second argument to AddConstr gives the constraint name.

The Gurobi .NET interface also allows you to add constraints by building linear expressions in a term-by-term fashion:

  GRBLinExpr expr = 0.0;
expr.AddTerm(1.0, x);
expr.AddTerm(2.0, y);
expr.AddTerm(3.0, z);
model.AddConstr(expr, GRB.LESS_EQUAL, 4.0, "c0");

This particular AddConstr() signature takes a linear expression that captures the left-hand side of the constraint as its first argument, the sense of the constraint as its second argument, and a linear expression that captures the right-hand side of the constraint as its third argument. The constraint name is given as the fourth argument.