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For the nuclear reactor example, there is a never-ending token flow where only vanishing states exist.
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Since the Condenser has multiple output arcs entering the technology, the capacity is increased to accommodate the additional token flows.
The firing of a transition means that the transition is enabled and tokens flow through the transition from input places to supply tokens to connecting output places [16].
The remaining pairs of state vector and applicable reaction vector are analysed for the potential control by the control function the value of which may change in a marking-dependent manner while the tokens flow through the net.
Other than these changes, the metasystem remains precisely the same (including the security token format, message flow, etc).. Table 1 shows the computational load imposed by the scheme on each system party, where denotes a modular exponentiation with respect to a fixed base, denotes a modular multiplication, and denotes a modular exponentiation to a variable base.
Further, due to the inhibition from pλ2 which prevents the token amount from flowing into the place po1, the output arc a' t, po1) of t is thus deleted in step 5.
Petri net models, first described in 1939 [ 28], characterise the dynamics of signal flow using token distribution and sampling.
Vanishing states are a finite set of unique states where tokens can continue to flow.
The end state, called the tangible state, is a state where tokens can no longer flow through the PN.
Reachability is very important for our proposed model as it helps us in calculating the final markings reachable from initial markings and shows the flow of tokens from place to place.
Signalling Petri net (SPN) extends the Petri net model by allowing for nonparametric modelling of cellular signalling networks; adding a simulator for modelling the average flow of tokens over multiple time steps [ 27].
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