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

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  • D Lefebvre

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.

Suggested Citation

  • D Lefebvre, 2011. "Design and time parameters identification for non-Markovian Petri net models: application to reliability analysis," Journal of Risk and Reliability, , vol. 225(1), pages 1-18, March.
    • Handle: RePEc:sae:risrel:v:225:y:2011:i:1:p:1-18
    DOI: 10.1177/1748006XJRR276
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