Reliability analysis of discrete model by continuous model: fluidisation approaches Online publication date: Wed, 26-Jun-2024
by Nabil El Akchioui; Hamid El-Moumen
International Journal of Reliability and Safety (IJRS), Vol. 18, No. 2, 2024
Abstract: This article addresses challenges in the reliability analysis of complex systems using stochastic models. Discrete models like stochastic Petri nets face difficulties in obtaining steady state analytical expressions due to the complexity of dynamic systems. To overcome this, the paper introduces fluidisation, employing continuous Petri nets for predicting stochastic processes' asymptotic behaviour. However, disparities arise in the asymptotic average markings between stochastic and continuous Petri nets with identical structures. The paper proposes two methods to approximate the steady state of similar stochastic Petri nets using continuous Petri nets. The adaptive approach dynamically adjusts firing speeds over time, while the geometric method delineates regions for a partial homothetic approximation of the stochastic steady state. These contributions enhance reliability analysis in complex systems by reconciling discrepancies between stochastic and continuous modelling.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Reliability and Safety (IJRS):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook