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Time-Dependent Reliability Analysis Based on Structure Function and Logic Differential Calculus

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 761))

Abstract

Investigation of system reliability is a complex problem. Importance analysis of the system components is part of this investigation. Information about importance of the system components can also be used in system maintenance or in optimization of system reliability. In this paper we present how reliability function can be derived from the structure function of the system and how logic differential calculus allows us to investigate importance of the system components via time-dependent Birnbaum’s and criticality importance measures.

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Acknowledgment

This work was partly supported by the grants VEGA 1/0038/16 and 1/0354/17.

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Correspondence to Patrik Rusnak .

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Rusnak, P., Rabcan, J., Kvassay, M., Levashenko, V. (2019). Time-Dependent Reliability Analysis Based on Structure Function and Logic Differential Calculus. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Contemporary Complex Systems and Their Dependability. DepCoS-RELCOMEX 2018. Advances in Intelligent Systems and Computing, vol 761. Springer, Cham. https://doi.org/10.1007/978-3-319-91446-6_38

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