A production installation that realizes production of a semi-finished product for use in tire production and having at least one unvulcanized elastomeric layer and a cover layer assembled therewith, the production installation comprising: an extrusion apparatus that realizes a step of producing the elastomeric layer as a continuous strip having a predetermined thickness and width, with the extrusion apparatus having a rotatable screw and a fixed cylindrical barrel having a generally cylindrical conduit within which the screw is rotatably disposed intermediate a feed inlet that permits introduction of an elastomer mixture into the barrel and a discharge outlet provided with an extrusion nozzle that discharges the elastomer material to a nip formed between a first roller and a second roller that are made to rotate in opposite directions while maintaining a predetermined distance between respective adjacent circumferential extents (1 16a), (1 18a), with the axis of rotation of the first roller being offset from the axis of rotation of the second roller; a positioning apparatus that realizes a step of applying the cover layer upon a surface of the elastomeric layer that faces externally of the circumferential extent of the second roller, the positioning apparatus including a storage spool that stores a cover layer material as a roll and an application roller that enables assembly of the cover layer with the elastomeric layer; and a third roller that rotatably cooperates with the second roller to realize a step of transporting the semi-finished product toward a downstream tire production installation, with the second roller and the third roller maintaining a predetermined distance between respective adjacent circumferential extents (118a, 120a), and the third roller rotating in the same direction as the first roller, with the axes of rotation of the second roller and the third roller in longitudinal alignment, and the first and third rollers having diameters that are commensurate with one another but different from a larger diameter of the second roller. an extrusion apparatus that realizes a step of producing the elastomeric layer as a continuous strip having a predetermined thickness and width, with the extrusion apparatus having a rotatable screw and a fixed cylindrical barrel having a generally cylindrical conduit within which the screw is rotatably disposed intermediate a feed inlet that permits introduction of an elastomer mixture into the barrel and a discharge outlet provided with an extrusion nozzle that discharges the elastomer material to a nip formed between a first roller and a second roller that are made to rotate in opposite directions while maintaining a predetermined distance between respective adjacent circumferential extents (1 16a), (1 18a), with the axis of rotation of the first roller being offset from the axis of rotation of the second roller; a positioning apparatus that realizes a step of applying the cover layer upon a surface of the elastomeric layer that faces externally of the circumferential extent of the second roller, the positioning apparatus including a storage spool that stores a cover layer material as a roll and an application roller that enables assembly of the cover layer with the elastomeric layer; and a third roller that rotatably cooperates with the second roller to realize a step of transporting the semi-finished product toward a downstream tire production installation, with the second roller and the third roller maintaining a predetermined distance between respective adjacent circumferential extents (118a, 120a), and the third roller rotating in the same direction as the first roller, with the axes of rotation of the second roller and the third roller in longitudinal alignment, and the first and third rollers having diameters that are commensurate with one another but different from a larger diameter of the second roller.