An apparatus for processing a strand of dunnage material, such as a coil of dunnage material, may include a winding device configured to wind the strand of dunnage material around a winding center, and an adhesive tape dispenser aligned with the winding device. The adhesive tape dispenser may be configured such that the adhesive tape dispensed by the dispenser is applied to an outer end layer of the strand of dunnage material when the outer end layer is wound around the winding center. The dunnage material may be produced by a dunnage forming machine from a web-shaped starting material, such as a roll or a leporello stack, for example of paper.

A winder applied can include a turret part configured to hold a running film roll and a standby film roll, and a leading part including a head part configured to sense a finishing tape attached to an end side of a thin film wound on the standby film roll, grip the finishing tape, and remove the finishing tape from the standby film roll. The head part can include a head body part, a sensing unit disposed on the head body part, and a tape adsorption part disposed on the head body part. The tape adsorption part may be configured to move to a position of the finishing tape sensed by the sensing unit, temporarily couple to the finishing tape, and remove the finishing tape from the end side of the thin film wound on the standby film roll. The sensing unit may be configured to sense the finishing tape.