抄録
In this paper, we study a scheduling problem with resource constraints using the Petri nets based on the transitive matrix P-invariant. This work focused on the analysis of a cyclic schedule for the determination of the optimal cycle time and minimization of Work In Process (WIP for short). Especially, this paper deals with product FMS cyclic scheduling problem with each other products using the transitive matrix. And TPN slice are applied to analyze this FMS model. We can divide original system into subsystem using the transitive matrix and permutated these sub-nets for analyzing the optimal scheduling.