1. Method for systematically adjusting the surface structure of rolling stock during cold rerolling in temper rolling mills, in which there is a partial transfer of the surface structure of the working rolls ( 2 ) to the rolling stock ( 3 ), characterized by the fact that the change in roughness of the rolling stock ( 3 ) in the rolling process of a single-stand or multiple-stand, preferably two-stand, temper rolling mill is calculated with an optimization calculation, in which the rolling parameters are varied according to the available mill capacity, with the use of a tribological model that mathematically describes the friction conditions in the roll gap ( 1 ), and the results obtained in this way are used to preset at least some of the rolling parameters used in the calculation.