By Kordic V.
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Extra info for Petri Net. Theory and applications
5a). x Transfer function: The transition reads and writes variables according to a specified function that can range from simple addition of values to complex conditional commands. Transfer functions consist of the definition of input() variables, output() variables and the commands to be carried out (action()) and are attached below the transition (Fig. 5b). The examples depicted in Fig. 5 show a transition that only fires if the variable ctrl has the value req (Fig. 5a) and a transition that generates an output variable dest without taking any input variables (Fig.
Stand for track segments. Some simplification have been introduced to reduced the size of the model. We are not interested in controlling local shunts so the track segment JT6 will not be considered. We assume that light signals display only two signals: stop, way free. Moreover, outside the station the trains can ride using the right track only. , suitable track segments must be free, we have to set turnouts and light signals and to guarantee exclusive rights to these elements for the train. Required position of turnouts for all possible routes are shown in Tab.
Three types of properties are distinguished for RTCPnets: boundedness, liveness and timing ones. , a multiset and a non-negative Definition 7. Let an RTCP-net , a place integer k be given. 1. k is upper integer bound for iff 2. X is upper multiset bound for iff: Lower bounds are defined analogously. A place is said to be bounded if it has an upper integer bound. If the upper integer bound is equal to one, the place is said to be safe. A place is said to be strongly bounded if it has a finite upper multiset bound.
Petri Net. Theory and applications by Kordic V.