Optimal Scheduling for Aluminum Plate Rolling Based on Max Algebra

The aluminum plate rolling control system is modeled by max algebra theory.According to production condition rules between the rolling mill and the workpieces,a multi-server/multi-queue model can be constructed for the rolling system. The max-algebra-based closed-loop model of the production line is analyzed,and the influences of different aluminum plates rolling queues on the system stable cycle performance is studied.The optimazation aim is to minimize the rolling production cycle,and the scheduling queue is studied with perturbation analysis.The optimal scheduling plan for aluminum plate rolling can be obtained with the period assignment method.