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Tasks scheduling is a key problem in multi-agent system, traditional tasks scheduling methods can't be applied to new application areas of the MAS such as emergency system. In order to apply the Agent method to these new areas, a multi-agent system model is built in this paper, and corresponding task schedulable problem and maximum scheduling problem are defined based on this multi-agent system model. Task schedulable problem is modeled using flow network, and it is proved that maximum flow algorithm can be used to solve such problem, which means the problem can be solved in polynomial time. Furthermore, by analyzing the flow network model, a necessary and sufficient condition which can be used to determine whether tasks can be scheduled is gained and proved.
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