A numerical control system determines iteratively a group of position setpoint values for axes of a production machine based on presets. When no risk of a collision of one moved element with another element exists, the group of position setpoint values is stored in a buffer store. Another already stored group of position setpoint values is read from the buffer store which then controls the axes and moves the element along a path defined by the sequence of the groups of position setpoint values. This process continues for as long as no risk of a collision exists. If a risk of a collision exists, the numerical control system brings the axes to a standstill. Previously unknown real time events are considered only in the determination of the groups of position setpoint values not yet stored in the buffer store. The groups of already stored position setpoint values are not altered.