Abstract
Presentation of a pipeline system in the form of series-connected defective cross sections (see Sect. 6.6) is not always applicable in practice. When using this scheme, the probability of failure of the whole system is equal to unity minus the product of the probability of failure-free operation of all its elements. The reliability index of such a system is low compared to the reliability of its elements and, given an increase in the number of elements (defects), the system is drastically reduced, even when the reliability of each element is high (see Sect. 2.6).
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Timashev, S., Bushinskaya, A. (2016). Markov Models of Pipeline Degradation Process. In: Diagnostics and Reliability of Pipeline Systems. Topics in Safety, Risk, Reliability and Quality, vol 30. Springer, Cham. https://doi.org/10.1007/978-3-319-25307-7_7
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DOI: https://doi.org/10.1007/978-3-319-25307-7_7
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