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Universal failure model for multi-unit systems with shared functionality

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  • Volovoi, Vitali

Abstract

A Universal Failure Model (UFM) is proposed for complex systems that rely on a large number of entities for performing a common function. Economy of scale or other considerations may dictate the need to pool resources for common purpose, but the resulting strong coupling precludes the grouping of those components into modules. Existing system-level failure models rely on modularity for reducing modeling complexity, so the UFM will fill an important gap in constructing efficient system-level models. Conceptually, the UFM resembles cellular automata (CA) infused with realistic failure mechanisms. Components’ behavior is determined based on the balance between their strength (capacity) and their load (demand) share. If the load exceeds the components’ capacity, the component fails and its load share is distributed among its neighbors (possibly with a time delay and load losses). The strength of components can degrade with time if the load exceeds an elastic threshold. The global load (demand) carried by the system can vary over time, with the peak values providing shocks to the system (e.g., wind loads in civil structures, electricity demand, stressful activities to human bodies, or drought in an ecosystem). Unlike the models traditionally studied by CA, the focus of the presented model is on the system reliability, and specifically on the study of time-to-failure distributions, rather than steady-state patterns and average time-to-failure characteristics. In this context, the relationships between the types of failure distributions and the parameters of the failure model are discussed.

Suggested Citation

  • Volovoi, Vitali, 2013. "Universal failure model for multi-unit systems with shared functionality," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 141-149.
    • Handle: RePEc:eee:reensy:v:119:y:2013:i:c:p:141-149
    DOI: 10.1016/j.ress.2013.05.014
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    1. Healy, Andrew & Malhotra, Neil, 2009. "Myopic Voters and Natural Disaster Policy," American Political Science Review, Cambridge University Press, vol. 103(3), pages 387-406, August.
    2. Toshio Nakagawa, 2007. "Shock and Damage Models in Reliability Theory," Springer Series in Reliability Engineering, Springer, number 978-1-84628-442-7, February.
    3. Ouyang, Min & Dueñas-Osorio, Leonardo, 2011. "An approach to design interface topologies across interdependent urban infrastructure systems," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1462-1473.
    4. R. Kinney & P. Crucitti & R. Albert & V. Latora, 2005. "Modeling cascading failures in the North American power grid," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 46(1), pages 101-107, July.
    5. Herbert A. Simon, 2002. "Near decomposability and the speed of evolution," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 11(3), pages 587-599, June.
    6. Ferraz, Carlos Handrey A. & Herrmann, Hans J., 2008. "The strange man in random networks of automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5689-5695.
    7. van Noortwijk, J.M., 2009. "A survey of the application of gamma processes in maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 2-21.
    8. Manuel J. Carrillo, 1991. "Note---Extensions of Palm's Theorem: A Review," Management Science, INFORMS, vol. 37(6), pages 739-744, June.
    9. Yannick Malevergne & Didier Sornette, 2006. "Extreme Financial Risks : From Dependence to Risk Management," Post-Print hal-02298069, HAL.
    10. Lacasa, Lucas & Cea, Miguel & Zanin, Massimiliano, 2009. "Jamming transition in air transportation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3948-3954.
    11. Xu, Xin-Jian & Peng, Hai-Ou & Wang, Xiao-Mei & Wang, Ying-Hai, 2006. "Epidemic spreading with time delay in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 525-530.
    12. J. Gómez-Gardeñes & P. Echenique & Y. Moreno, 2006. "Immunization of real complex communication networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 49(2), pages 259-264, January.
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