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  Algebraical Characterisation of Interval-Timed Petri Nets with Discrete Delays
 
 
Title: Algebraical Characterisation of Interval-Timed Petri Nets with Discrete Delays
Author: Popova-Zeugmann, Louchka
Pelz, Elisabeth
Appeared in: Fundamenta informaticae
Paging: Volume 120 (2012) nr. 3-4 pages 341-357
Year: 2012-12-03
Contents: In this paper we consider Interval-Timed Petri nets (ITPN) which are an extension of Timed Petri nets. They are considered to behave with discrete delays. The class of ITPNs is Turing complete and therefore the reachability of an arbitrary marking in such a net is not decidable. We introduce a time dependent state equation for a firing sequence of ITPNs, which is analogous to the state equation for a firing sequence in standard Petri nets and we prove its correctness using linear algebra. Our result is original and delivers both a necessary condition for reachability and a sufficient condition for non-reachability of an arbitrary marking in an ITPN.
Publisher: IOS Press
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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