A mathematical model describing the rolling of the slabs which has been formulated. The present model estimates the optimal rolling schedule which gives the maximum through put (rolling rate) of the hot rolling line at Nassiriya's factory.The material's resistance to deformation varied at each pass, an expression which relates it to the strain rate, temperature and reduction has been developed. Furthermore the limitation of the slab's ductility on the rolling schedule has been taken into consideration.In order to select the most accurate theory to be used in the present model, three theories...