By Kordic V.
ISBN-10: 3902613122
ISBN-13: 9783902613127
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Extra resources for Petri Net. Theory and applications
Sample text
2 (from the light signal F) to the right (to Wola Rzedzinska), etc. The route B4 can be used by a train only if: turnouts 7, 8, 15, 16 are closed, turnouts 3, 4, 6 are open, and the track segments JTB, JT4, JZ4/6 (a segment between turnouts 4 and 6), JZ7 (diagonal segment leading to the turnout 7) and JZ16 are free. The Tab. 2 shows which routes are mutually exclusive. The system is expected to choose suitable routes for moving trains. It should take under consideration that some trains should stop at the platform, while others are only moving through the station and two routes (an input and an output one) should be 30 Petri Net: Theory and Applications prepared for them.
4 a for example consists of two parts, a control and an address part. A token of the colourset word can be either mapped to a single variable of word or to a set (var1, var2) with var1 having the colourset control and var2 being of the colourset address. If all places connected to a transition by unidirectional input arcs or by bidirectional arcs hold tokens and its (optional) guard condition is met, the transition is said to be enabled. In case of more than one enabled transition in a CPN the one to fire is chosen randomly.
The net is said to be fair if every firing sequence is fair. Definition 11. The duration of a firing sequence is the sum: (6) where values denote passages of time between consecutive states (see Modelling and Analysis of Real-Time Systems with RTCP-Nets 23 equation (5)). Definition 12. Let (M, S) and (M', S') be the states of an RTCP-net such that . A time of transition from the state to , denoted by , , is the duration of any sequence a leading from the state to . The duration of a firing sequence is unambiguous, while a time of transition from one state to another is not.