Property Analysis of the Resource-Transition Net of Petri Net Models for Automated Manufacturing Systems
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Abstract
The resource-transition net (RTN) NR is the reduction form of N, which is the Petri net model of an automated manufacturing system (AMS). Thus, NR plays an important role in system deadlock analysis and control. After a couple of properties in resource-transition nets are summarized, conclusions are proposed as follows. If the inner sub-net N1 on R1 (where R1 is an arbitrary resource subset) of the RTN NR is strongly connected, there must be a resource-transition circuit (RTC) with R1 as its resource set (such as θ=1,(·R1∩R1·)>). In addition, if θ satisfies the perfection condition, the RTC θ is a Perfect Maximal Resource-Transition Circuit (PMRTC) of N.
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