Rolling delay is a typical dynamic process of reheating furnace. The optimized decision making of heat supply during the period of rolling delay

which plays a significant role in control strategy of reheating furnace

is a problem worthy of further study. The previous work was to give optimal set points of furnace temperature on the basis of mathematical model by establishing an objective function. In this paper

the mathematical model for dynamic process of reheating furnace is studied. For different rolling delay times

the optimal strategies are obtained by using the method of multi-objective gray state decision making. Based on these studies

a revised dynamic method of rolling delay is proposed. The results of simulation indicate that this method has good dynamic characteristics and is suitable for on-line control. Due to its ease and efficiency

multi-objective grey state decision making could be applied to more complex engineering problems.