A Petri net design method for automated manufacturing systems with shared resources

Two concepts are formulated: parallel and sequential mutual exclusion (SME) in the context of Petri net theory. The conditions under which a net containing such structures is bounded, live, and reversible are derived, and they are used to construct the Petri net models for a practical manufacturing system. The sufficient conditions for a Petri net to be live and reversible include that the number of initial tokens in each place be less than or equal to the token capacity of an SME and that the net without this SME be live and reversible.<
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