A system for performing queue-based routing of print jobs in a multi-site print production environment may include an electronic dispatch system having a scheduling queue, at least one processor and a computer-readable storage medium. The computer-readable storage medium may include programming instructions that, when executed, cause the processor to receive print jobs from client computing devices, identify one or more print shops, select a set of print jobs from the scheduling queue that are to be assigned to the print shops for completion, generate a feasibility matrix for the selected print jobs, determine a preliminary assignment of the selected print jobs to the identified print shops using a set cover heuristic, use a linear programming heuristic to determine a final assignment of the selected print jobs to the identified print shops, and route each of the selected print jobs to an assigned print shop as specified by the final assignment.