A method and a non-transient computer readable medium for sorting orders to be run on a multi-section slitter/scorer at a corrugator dry end includes collecting specifications of orders in current, prior, and/or subsequent paper group queues. Run times and slit/score head recovery times for orders in the current paper group queue are calculated using the specifications. Those orders for which recovery time exceeds run time are flagged as short orders. For a given short order, pairs of preceding and following orders that would require recovery times less than the short order's run time are determined and flagged as potential bracketing pairs. The current paper group queue is searched to determine if a bracketing pair can be formed from its orders, and if so, the orders in the current paper group queue are reorganized such that the orders in the bracketing pair immediately precede and follow the given short order.