A system or method, for controlling at least two automated non-passing rail mounted gantry cranes, has, for each crane, a crane control unit for ensuring execution of at least one work order received by the respective crane from an external scheduling system, and may have a rescheduling unit which performs a rescheduling of the at least one work order based on an expected trajectory along the rail determined for each work order. The rescheduling can be achieved by splitting at least one of the work orders into at least two new work orders and by re-sequencing and re-allocating resulting work orders to reduce the number or duration of situations, where the expected trajectory of one crane blocks the expected trajectory of another crane and/or to reduce a workload imbalance between the cranes. The rescheduling unit operates in parallel with the crane control units, and dynamically updates these original work orders.