 Reliability analysis of discrete model by continuous model: fluidisation approachesNabil El Akchioui and Hamid El-Moumen International Journal of Reliability and Safety, 2024, vol. 18, issue 2, 187-208 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. Keywords: reliability analysis; Markov model; combinatorial state explosion; stochastic Petri nets; continuous Petri nets; fluidisation; geometric approach; adaptive approach. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijrsaf:v:18:y:2024:i:2:p:187-208 Access Statistics for this article More articles in International Journal of Reliability and Safety from Inderscience Enterprises Ltd |
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