A deadlock prevention approach for a class of time Petri nets based on SCG

To solve the problem of deadlock prevention for flexible manufacturing systems (FMS), an effective approach based on the State Class Graph (SCG) is proposed in a framework of time Petri nets (TPN). The first step determines the SCG of TPN. In the second step, since the SCG and discrete state graph (DSG) of a TPN have the same markings and obey the same linear temporal logic (LTL) properties, deadlock-freedom can be obtained by performing the required marking/transition separations. The theory of regions is used to design control places added to the original TPN model to realize the desired behavior. A parameterized example is used to show the performance of the proposed approach.