Initially, each imposition is computed so as to reach the exact minimum quantities. Thereafter, the empty spaces will be filled using the allowable surplus per article (typically 10%). The articles which have not reached the 110%, will be placed first, so that as many articles as possible are invoiceable.
Rule 1: start from the given optimal solution with its computed run length.
Rule 2: add only replicas until 110% is reached. Don’t fill more than that.
Rule 3: add each replica individually, and each time try to add that replica which is maximally invoiceable.
As an example, we examine a case whereby all articles should be punched and whereby the solution consists of three impositions. Since all articles have a punch form, they should be arranged across in a stroke with a minimum band length of 30cm (or 12 inches, see “cutting into strokes”). In this case there are empty spaces, which can be used to demonstrate the filling process.