According to a method initial temperatures (T1) of strip points (101) are detected when the hot-rolled strip (6) is fed to the production line at the latest. The strip points (101) are monitored on their way through the production line. The hot-rolled strip (6) is subjected to temperature influences (delta T) in the production line (3). The strip points (101), the initial temperatures (T1), the monitored values (W(t)) and the temperature influences (delta T) are supplied to a model (9) for the production line (3). The model (9) determines expected actual temperatures (T2) of the strip points (101) in real time and allocates them to the strip points as the new actual temperatures (T2).