BOUNDS

Bounds can be included for variables which are not defined explicitly in the COLUMNS section of the matrix. If they are not in the COLUMNS section, they must appear as variables within formulae (implicit variables). A BOUNDS entry for an item which is not a column or a variable will produce a warning message and will be ignored.

Global entities (such as integer variables and members of Special Ordered Sets) must be defined explicitly in the COLUMNS section of the matrix. If a variable would otherwise appear only in formulae in coefficients, then it should be included in the COLUMNS section with a zero entry in a row (for example, the objective function) which will not affect the result.