Reliability Analysis of a Load-Sharing k -out-of- n System Due to Its Components’ Failure

Vladimir Rykov, Nika Ivanova and Irina Kochetkova
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Vladimir Rykov: Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia
Nika Ivanova: Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia
Irina Kochetkova: Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia

Mathematics, 2022, vol. 10, issue 14, 1-13

Abstract: The reliability characteristics of a k -out-of- n : F system are studied in the case when a failure of one of the system’s components leads to increasing the load on others, resulting in their residual lifetimes decreasing. The situation is modeled with the help of changing the components and the system hazard rate function. The reliability function and other reliability characteristics are calculated. Numerical examples are considered.

Keywords: a load-sharing k -out-of- n : F system; dependent failures; reliability characteristics; hazard rate function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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