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Approximations of Stochastic Nets by Mean of Continuous Petri Nets

by Nabil El Akchioui, Souâd Choukrad
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 155 - Number 4
Year of Publication: 2016
Authors: Nabil El Akchioui, Souâd Choukrad
10.5120/ijca2016912292

Nabil El Akchioui, Souâd Choukrad . Approximations of Stochastic Nets by Mean of Continuous Petri Nets. International Journal of Computer Applications. 155, 4 ( Dec 2016), 26-31. DOI=10.5120/ijca2016912292

@article{ 10.5120/ijca2016912292,
author = { Nabil El Akchioui, Souâd Choukrad },
title = { Approximations of Stochastic Nets by Mean of Continuous Petri Nets },
journal = { International Journal of Computer Applications },
issue_date = { Dec 2016 },
volume = { 155 },
number = { 4 },
month = { Dec },
year = { 2016 },
issn = { 0975-8887 },
pages = { 26-31 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume155/number4/26594-2016912292/ },
doi = { 10.5120/ijca2016912292 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:00:23.386279+05:30
%A Nabil El Akchioui
%A Souâd Choukrad
%T Approximations of Stochastic Nets by Mean of Continuous Petri Nets
%J International Journal of Computer Applications
%@ 0975-8887
%V 155
%N 4
%P 26-31
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Reliability analysis is often based on stochastic discrete event models like Markov models or stochastic Petri nets. For complex dynamical systems with numerous components, analytical expressions of the steady state are tedious to work out because of the combinatory explosion with discrete models. The contribution of this paper is to approximate the steady state of mono T-semiflow stochastic nets by mean of continuous Petri nets according to a modification of the maximal firing speed vector definition. This result is then used to accelerate convergence of stochastic simulations.

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Index Terms

Computer Science
Information Sciences

Keywords

Stochastic Petri nets continuous Petri nets steady state reliability analysis.

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