IDEAS home Printed from https://ideas.repec.org/a/sae/risrel/v222y2008i4p545-551.html
   My bibliography  Save this article

Piecewise deterministic Markov processes and dynamic reliability

Author

Listed:
  • H Zhang
  • F Dufour
  • Y Dutuit
  • K Gonzalez

Abstract

If the reliability community remains interested in dynamic reliability theory, it is not really convinced by the ability of already available approaches to treating current problems from within the operational domain, even if the methodological quality of these approaches is undeniable. This paper is in keeping with two papers presented in earlier conferences. Its aim is to show the potentialities of a method that combines the high modelling capacity of the piecewise-deterministic processes with the great computing power inherent in the Monte Carlo simulation. This method has been applied to a well-known test-case example to test its ability to solve common dynamic reliability problems. Two sets of results have been obtained. The first one has been compared to those coming from a Petri-net model to obtain a preliminary validation of the proposed method. The second one, related to a more complex case, has been compared to already published results found in the literature. Contrary to already existing methods, the approach here is an exact Monte Carlo sampling method; it does not need time-space discretization.

Suggested Citation

  • H Zhang & F Dufour & Y Dutuit & K Gonzalez, 2008. "Piecewise deterministic Markov processes and dynamic reliability," Journal of Risk and Reliability, , vol. 222(4), pages 545-551, December.
    • Handle: RePEc:sae:risrel:v:222:y:2008:i:4:p:545-551
    DOI: 10.1243/1748006XJRR181
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1243/1748006XJRR181
    Download Restriction: no
    File URL: https://libkey.io/10.1243/1748006XJRR181?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ferdinando Chiacchio & Fabio Famoso & Diego D’Urso & Sebastian Brusca & Jose Ignacio Aizpurua & Luca Cedola, 2018. "Dynamic Performance Evaluation of Photovoltaic Power Plant by Stochastic Hybrid Fault Tree Automaton Model," Energies, MDPI, vol. 11(2), pages 1-22, January.
    2. Li, Jinghui & Mosleh, Ali & Kang, Rui, 2011. "Likelihood ratio gradient estimation for dynamic reliability applications," Reliability Engineering and System Safety, Elsevier, vol. 96(12), pages 1667-1679.
    3. Chiacchio, F. & D’Urso, D. & Manno, G. & Compagno, L., 2016. "Stochastic hybrid automaton model of a multi-state system with aging: Reliability assessment and design consequences," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 1-13.
    4. de Saporta, Benoîte & Zhang, Huilong, 2013. "Predictive maintenance for the heated hold-up tank," Reliability Engineering and System Safety, Elsevier, vol. 115(C), pages 82-90.
    5. Signoret, Jean-Pierre & Dutuit, Yves & Cacheux, Pierre-Joseph & Folleau, Cyrille & Collas, Stéphane & Thomas, Philippe, 2013. "Make your Petri nets understandable: Reliability block diagrams driven Petri nets," Reliability Engineering and System Safety, Elsevier, vol. 113(C), pages 61-75.
    6. Brissaud, Florent & Smidts, Carol & Barros, Anne & Bérenguer, Christophe, 2011. "Dynamic reliability of digital-based transmitters," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 793-813.
    7. Babykina, Génia & Brînzei, Nicolae & Aubry, Jean-François & Deleuze, Gilles, 2016. "Modeling and simulation of a controlled steam generator in the context of dynamic reliability using a Stochastic Hybrid Automaton," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 115-136.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:risrel:v:222:y:2008:i:4:p:545-551. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.