IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v104y2012icp45-57.html
   My bibliography  Save this article

Dependencies in event trees analyzed by Petri nets

Author

Listed:
  • Nývlt, OndÅ™ej
  • Rausand, Marvin

Abstract

This paper discusses how non-marked Petri nets can be used to model and analyze event trees where the pivotal (branching) events are dependent and modeled by fault trees. The dependencies may, for example, be caused by shared utilities, shared components, or general common cause failures that are modeled by beta-factor models. These dependencies are cumbersome to take into account when using standard event-/fault tree modeling techniques, and may lead to significant errors in the calculated end-state probabilities of the event tree if they are not properly analyzed. A new approach is proposed in this paper, where the whole event tree is modeled by a non-marked Petri net and where P-invariants, representing the structural properties of the Petri net, are used to obtain the frequency of each end-state of the event tree with dependencies. The new approach is applied to a real example of an event tree analysis of the Strahov highway tunnel in Prague, Czech Republic, including two types of dependencies (shared Programmable Logic Controllers and Common Cause Failures).

Suggested Citation

  • Nývlt, OndÅ™ej & Rausand, Marvin, 2012. "Dependencies in event trees analyzed by Petri nets," Reliability Engineering and System Safety, Elsevier, vol. 104(C), pages 45-57.
    • Handle: RePEc:eee:reensy:v:104:y:2012:i:c:p:45-57
    DOI: 10.1016/j.ress.2012.03.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832012000476
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2012.03.013?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. C Ibáñez-Llano & A Rauzy & E Meléndez & F Nieto, 2009. "Minimal cutsets-based reduction approach for the use of binary decision diagrams on probabilistic safety assessment fault tree models," Journal of Risk and Reliability, , vol. 223(4), pages 301-311, December.
    2. P Škňouřilová & R Briš, 2008. "Coloured Petri nets and a dynamic reliability problem," Journal of Risk and Reliability, , vol. 222(4), pages 635-642, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Jianing Wu & Shaoze Yan, 2014. "An approach to system reliability prediction for mechanical equipment using fuzzy reasoning Petri net," Journal of Risk and Reliability, , vol. 228(1), pages 39-51, February.
    2. Gonçalves, P. & Sobral, J. & Ferreira, L.A., 2017. "Unmanned aerial vehicle safety assessment modelling through petri Nets," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 383-393.
    3. Sun, Qinying & Ma, Haiqun, 2024. "Modelling and performance analysis of the COVID-19 emergency collaborative process based on a stochastic Petri net," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    4. Arthur H.A. Melani & Carlos A. Murad & Adherbal Caminada Netto & Gilberto F.M. Souza & Silvio I. Nabeta, 2019. "Maintenance Strategy Optimization of a Coal-Fired Power Plant Cooling Tower through Generalized Stochastic Petri Nets," Energies, MDPI, vol. 12(10), pages 1-28, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ibáñez-Llano, Cristina & Rauzy, Antoine & Meléndez, Enrique & Nieto, Francisco, 2010. "A reduction approach to improve the quantification of linked fault trees through binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 95(12), pages 1314-1323.
    2. 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.
    3. 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.
    4. Ibáñez-Llano, Cristina & Rauzy, Antoine & Meléndez, Enrique & Nieto, Francisco, 2010. "Hybrid approach for the assessment of PSA models by means of binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 95(10), pages 1076-1092.

    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:eee:reensy:v:104:y:2012:i:c:p:45-57. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    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.