Petri nets prepare an effective method of computing minimal siphons and elementary siphons based on the concept of initial resource assignment on liveness for the class of generalized Petri nets, namely S~4PR. At the point when consideration concentrates on the utilization of framework assets to flexible manufacturing system (FMS) can be viewed as an exceptional class of simultaneous of resource allocation systems (RASs). A siphon is specified with the liveness properties Petri net (PN) models of FMS. These connections are solid strong in the case of (RASs). Structured and formalized modeling methods of the siphon computation problem with an S~4PR net are a typical class of PN. The exceptional linguistic limitations of a few classes of RASs can help in creating particular calculations to process guides to a more effective manner. A Petri nets as a tool for deadlock problem specifying and analyzing concurrent systems in which control minimal siphons appeared in the main parameter for model and control of FMS. An enumeration method is given for analyzing structural Petri nets behavior. This new method, which allows to formal verifying siphons based systems, is simulated as an illustrative example of the specification and verification of a simple manufactured.
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