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Prime implicants in dynamic reliability analysis

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  • Tyrväinen, Tero

Abstract

This paper develops an improved definition of a prime implicant for the needs of dynamic reliability analysis. Reliability analyses often aim to identify minimal cut sets or prime implicants, which are minimal conditions that cause an undesired top event, such as a system׳s failure. Dynamic reliability analysis methods take the time-dependent behaviour of a system into account. This means that the state of a component can change in the analysed time frame and prime implicants can include the failure of a component at different time points. There can also be dynamic constraints on a component׳s behaviour. For example, a component can be non-repairable in the given time frame. If a non-repairable component needs to be failed at a certain time point to cause the top event, we consider that the condition that it is failed at the latest possible time point is minimal, and the condition in which it fails earlier non-minimal. The traditional definition of a prime implicant does not account for this type of time-related minimality. In this paper, a new definition is introduced and illustrated using a dynamic flowgraph methodology model.

Suggested Citation

  • Tyrväinen, Tero, 2016. "Prime implicants in dynamic reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 146(C), pages 39-46.
    • Handle: RePEc:eee:reensy:v:146:y:2016:i:c:p:39-46
    DOI: 10.1016/j.ress.2015.10.007
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    References listed on IDEAS

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    1. Al-Dabbagh, Ahmad W. & Lu, Lixuan, 2010. "Reliability modeling of networked control systems using dynamic flowgraph methodology," Reliability Engineering and System Safety, Elsevier, vol. 95(11), pages 1202-1209.
    2. Tyrväinen, T., 2013. "Risk importance measures in the dynamic flowgraph methodology," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 35-50.
    3. Contini, S. & Cojazzi, G.G.M. & Renda, G., 2008. "On the use of non-coherent fault trees in safety and security studies," Reliability Engineering and System Safety, Elsevier, vol. 93(12), pages 1886-1895.
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