Design and time parameters identification for non-Markovian Petri net models: application to reliability analysis

D Lefebvre

Journal of Risk and Reliability, 2011, vol. 225, issue 1, 1-18

Abstract: The reliability analysis for dynamic systems is often based on timed stochastic Petri net models. The contribution of this paper concerns the design and identification of non-Markovian timed stochastic Petri net models. In particular, stochastic Petri nets that combine firing periods with normal and exponential probability density functions (pdfs) are considered. A numerical method is proposed for the identification of the parameters that characterize the pdfs of the firing periods. This method is based on a statistical analysis of the collected event sequences that are recorded by supervision systems. The method is applied for the reliability analysis of a single server with variable operation periods.

Keywords: reliability analysis; stochastic Petri nets; non-Markovian nets; state graphs; identification (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:225:y:2011:i:1:p:1-18

DOI: 10.1177/1748006XJRR276

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