To a row of winding stations (1), in which rolls (8) of flat, bendable objects (e.g., printed products) positioned on roll supports (3) are processed or in which such rolls are produced, roll supports (3) are coupled to the winding stations and, if required, are exchanged, the coupled roll supports forming a first row (A) of roll supports parallel to the row of winding stations (1). Roll supports (3) are positioned in readiness for the exchange in a second row (B) of roll supports, which second row (B) is distances from the first row (A) by a transport alley (10). Each roll support in the second row is aligned to the one winding station (1), to which it is to be coupled. For every exchange, the roll support (3) coupled to the winding station (1) is moved transverse to the first row (A) into the transport alley (10) and is transported along the transport alley to its end and there is positioned in a third row (C) of roll supports, which is aligned in the direction of the transport alley (10) and adjoins it.