A method used to produce packs of article sets, the method comprising at least the following steps: - detection of particular actual positions of reference markers, which are formed by an interruption-free web of thermoplastic packaging material, and/or which are applied onto the web, as well as - separation of individual planar packaging blanks from the interruption-free web of thermoplastic packaging material in consideration of the detected actual positions of the reference markers, and - positioning of the planar packaging blanks separated from the interruption-free web of thermoplastic packaging material onto article assemblies, as well as - temperature application to the planar packaging blanks positioned on the particular article assemblies, with the result that the planar packaging blanks are shrunk onto the particular article assembly, characterised in that the method furthermore provides that the reference markers are formed as apertures in the interruption-free web of thermoplastic packaging material, the actual positions of which apertures are detected for the purpose of the separation of the individual planar packaging blanks from the interruption-free web of thermoplastic packaging material, wherein a cutting and separating apparatus is in operative connection with a sensor such that a cutting and separating instrument formed as a part of the cutting and separating apparatus is controlled depending on the particular actual positions of the apertures detected via the sensor, wherein the apertures are cut or introduced into the interruption-free web of thermoplastic packaging material during a continuous movement of the interruption-free web of thermoplastic packaging material, and wherein certain speed fluctuations occurring during the manufacturing process are compensated through a detection of the current actual speed of the interruption-free web of thermoplastic packaging material and a thereto adapted control of a controllable die-cutting device and/or perforating device by a time point of cutting or of die-cutting or of perforating being adapted to the optimal position. - detection of particular actual positions of reference markers, which are formed by an interruption-free web of thermoplastic packaging material, and/or which are applied onto the web, as well as - separation of individual planar packaging blanks from the interruption-free web of thermoplastic packaging material in consideration of the detected actual positions of the reference markers, and - positioning of the planar packaging blanks separated from the interruption-free web of thermoplastic packaging material onto article assemblies, as well as - temperature application to the planar packaging blanks positioned on the particular article assemblies, with the result that the planar packaging blanks are shrunk onto the particular article assembly, the method furthermore provides that the reference markers are formed as apertures in the interruption-free web of thermoplastic packaging material, the actual positions of which apertures are detected for the purpose of the separation of the individual planar packaging blanks from the interruption-free web of thermoplastic packaging material, wherein a cutting and separating apparatus is in operative connection with a sensor such that a cutting and separating instrument formed as a part of the cutting and separating apparatus is controlled depending on the particular actual positions of the apertures detected via the sensor, wherein the apertures are cut or introduced into the interruption-free web of thermoplastic packaging material during a continuous movement of the interruption-free web of thermoplastic packaging material, and wherein certain speed fluctuations occurring during the manufacturing process are compensated through a detection of the current actual speed of the interruption-free web of thermoplastic packaging material and a thereto adapted control of a controllable die-cutting device and/or perforating device by a time point of cutting or of die-cutting or of perforating being adapted to the optimal position.