A more efficient time Petri net state space abstraction preserving linear properties

2007 ◽  
Author(s):  
Hanifa Boucheneb ◽  
Hind Rakkay
Keyword(s):  
State Space ◽  
Petri Net ◽  
Time Petri Net

scholarly journals SE-LTL Model-checking on Timed GRAFCETS via ε-TPN

2019 ◽  
pp. 1-12
Author(s):  
Médésu Sogbohossou ◽  
Rodrigue Yehouessi ◽  
Tahirou Djara ◽  
Theophile Aballo ◽  
Antoine Vianou
Keyword(s):  
Model Checking ◽  
State Space ◽  
Temporal Logic ◽  
Petri Net ◽  
Formal Language ◽  
Time Constraints ◽  
Automated Systems ◽  
Usual Practice ◽  
Time Petri Net ◽  
Ltl Model Checking

The GRAFCET standard (IEC 60848) is one of the convenient formalisms used to specify the behaviour of the automated systems. Being just a semi-formal language, the usual practice is to go through an unambiguous formalism such as time Petri net (TPN) in order to validate a specification expressed by a GRAFCET model. In this paper, we propose how to perform model-checking on a GRAFCET model translated into a ε-TPN, specifically with State-Event Linear Temporal Logic (SE-LTL). Especially, we provide a way to take into account quantitative time constraints verification by integrating observers in the ε-TPN intermediate model, since TPN state-space abstractions do not allow directly such kind of model-checking.

scholarly journals State space computation and analysis of Time Petri Nets

2006 ◽  
Vol 6 (3) ◽  
pp. 301-320 ◽  
Author(s):  
GUILLAUME GARDEY ◽  
OLIVIER H. ROUX ◽  
OLIVIER F. ROUX
Keyword(s):  
Petri Nets ◽  
State Space ◽  
Petri Net ◽  
Timed Automata ◽  
Reactive Systems ◽  
Time Petri Nets ◽  
Classical State ◽  
Time Petri Net ◽  
Reduction Methods ◽  
Timed Automaton

The theory of Petri Nets provides a general framework to specify the behaviors of real-time reactive systems and Time Petri Nets were introduced to take also temporal specifications into account. We present in this paper a forward zone-based algorithm to compute the state space of a bounded Time Petri Net: the method is different and more efficient than the classical State Class Graph. We prove the algorithm to be exact with respect to the reachability problem. Furthermore, we propose a translation of the computed state space into a Timed Automaton, proved to be timed bisimilar to the original Time Petri Net. As the method produce a single Timed Automaton, syntactical clocks reduction methods (DAWS and YOVINE for instance) may be applied to produce an automaton with fewer clocks. Then, our method allows to model-check T-TPN by the use of efficient Timed Automata tools.

A Time Petri Net Model Based on Uniform Distribution

2010 ◽  
Vol 33 (5) ◽  
pp. 900-907 ◽  
Author(s):  
Li PAN ◽  
Zhi-Jun DING ◽  
Gang CHEN
Keyword(s):  
Uniform Distribution ◽  
Petri Net ◽  
Model Based ◽  
Time Petri Net

The Quantitative Assessment of Domino Effects Based on Stochastic Petri Nets

2008 ◽  
Vol 44-46 ◽  
pp. 537-544
Author(s):  
Shi Yi Bao ◽  
Jian Xin Zhu ◽  
Li J. Wang ◽  
Ning Jiang ◽  
Zeng Liang Gao
Keyword(s):  
Petri Nets ◽  
State Space ◽  
Petri Net ◽  
Quantitative Assessment ◽  
Stochastic Petri Nets ◽  
Industrial Park ◽  
Domino Effect ◽  
State Space Explosion ◽  
Stochastic Petri Net ◽  
Chemical Industrial Park

The quantitative analysis of “domino” effects is one of the main aspects of hazard assessment in chemical industrial park. This paper demonstrates the application of heterogeneous stochastic Petri net modeling techniques to the quantitative assessment of the probabilities of domino effects of major accidents in chemical industrial park. First, five events are included in the domino effect models of major accidents: pool fire, explosion, boiling liquid expanding vapour explosion (BLEVE) giving rise to a fragment, jet fire and delayed explosion of a vapour cloud. Then, the domino effect models are converted into Generalized Stochastic Petri net (GSPN) in which the probability of the domino effect is calculated automatically. The Stochastic Petri nets’ models, which are state-space based ones, increase the modeling flexibility but create the state-space explosion problems. Finally, in order to alleviate the state-space explosion problems of GSPN models, this paper employs Stochastic Wellformed Net (SWN), a particular class of High-Level (colored) SPN. To conduct a case study on a chemical industrial park, the probability of domino effects of major accidents is calculated by using the GSPN model and SWN model in this paper.

scholarly journals Modeling Internet Host Reliability using Higher-Order Time Petri Net

2013 ◽  
Vol 83 (2) ◽  
pp. 24-28
Author(s):  
Ali M.Meligy ◽  
Hani M. Ibrahim ◽  
Amal M. Aqlan
Keyword(s):  
Petri Net ◽  
Higher Order ◽  
Time Petri Net
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