A scheduling and optimization problem for heating of steel soakingpits, which includes the decision on the optimal number of soaking pitsto be used, the optimal soaking time, and the optimal temperaturesetpoints of individual soaking pits for a soaking pit/rolling millcomplex, is considered in a framework of hybrid dynamic system. Thisvery complicated optimization problem is divided into three subproblems:determine the optimal number of soaking pits, determine the optimalsoaking time and the most difficult one, i.e. determine the optimaltemperature set-points for each soaking pits. In order to solve thethird subproblem which is the most difficult one, an evolutionaryprogramming algorithm, which has a rapid search speed and high accuracy,is designed. Finally, an example is given to demonstrate the validity ofthe algorithm
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