An apparatus for forming plastic material preforms into plastic material containers has a transport device which transports the plastic material preforms along a predetermined transport path, wherein this transport device has a plurality of transport devices preferably adjoining one another for transporting the plastic material preforms, with a heating device, which heats the plastic material preforms, and with a forming device which is arranged along the transport path of the plastic material preforms downstream of the heating device, wherein the apparatus has a first transport device which feeds the plastic material preforms individually to the heating device, wherein the heating device has a second transport device which transports the plastic material preforms during their heating. The first transport device has a first drive device and the second transport device has a second drive device and the first drive device and the second drive device can be controlled independently of one another.