Deadlock analysis of Petri nets using the transitive matrix

In this paper, we focus on the analysis of the deadlock problem in Petri nets using the transitive matrix. The transitive matrix may explain all relations between the place and transitions in Petri nets. Since the deadlock problem occurred by the relationship between more than two transitions based on the conflict places, we propose a find deadlock status algorithm after define the deadlock-free condition in the transitive matrix. Also, we show an example.