HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

Interval-Timed Petri Nets with Auto-concurrent Semantics and their State Equation

Abstract : In this paper we consider Interval-Timed Petri nets (ITPN), an extension of Timed Petri nets in which the discrete time delays of transitions are allowed to vary within fixed intervals including possible zero durations. These nets will be analyzed for the first time under maximal step semantics with auto-concurrency. This matches well with the reality of time critical systems which could be modeled and analyzed with our model. Full algebraic representations of the semantics are proposed. We introduce time-dependent state equations for a sequence of global firing steps of ITPNs which are analogous to the state equation for a firing sequence in standard Petri nets and we prove its correctness using linear algebra. Our result delivers a necessary condition for reachability which is also a sufficient condition for non-reachability of an arbitrary marking in an ITPN.
Complete list of metadata

Cited literature [12 references]  Display  Hide  Download

Contributor : Elisabeth Pelz Connect in order to contact the contributor
Submitted on : Sunday, May 27, 2018 - 5:40:00 PM
Last modification on : Tuesday, October 19, 2021 - 4:09:41 PM
Long-term archiving on: : Tuesday, August 28, 2018 - 12:33:27 PM


Files produced by the author(s)


  • HAL Id : hal-01800685, version 1



Elisabeth Pelz, Abderraouf Kabouche, Louchka Popova-Zeugmann. Interval-Timed Petri Nets with Auto-concurrent Semantics and their State Equation. PNSE'15, Jul 2015, Bruxelles, Belgium. ⟨hal-01800685⟩



Record views


Files downloads