Eryilmaz, SerkanIndustrial Engineering2024-07-052024-07-0520120018-952910.1109/TR.2011.21677812-s2.0-84858153218https://doi.org/10.1109/TR.2011.2167781https://hdl.handle.net/20.500.14411/1365Eryilmaz, Serkan/0000-0002-2108-1781This paper is concerned with the number of components that are failed at the time of system failure. We study the corresponding quantity for a coherent structure via the system signature. Furthermore, we study the distribution of the number of failures after a specified time until the system failure. We illustrate the results for well-known general classes of coherent systems such as linear consecutive k-within-m-out-of- n:F, and m-consecutive-k-out-of-: n:F.eninfo:eu-repo/semantics/closedAccessCoherent systemconsecutive k-within-m-out-of- n:F systemm-consecutivek-out-of- n:F systemsystem signatureArticleQ1611203207WOS:00030119850002141