A printing system includes at least one marking engine and a paper path which carries sheets of print media to the marking engine from an upstream direction and carries sheets of print media which have been marked by the marking engine in a downstream direction. A buffer system includes a sheet buffer in the paper path downstream of the marking engine and optionally includes another sheet buffer in the paper path upstream of the marking engine. The buffer system allows variability in the residence time of the marking engine to be accommodated by varying the residence time of sheets in the downstream buffer.