Eryilmaz, SerkanIndustrial Engineering2024-07-052024-07-0520121024-123X1563-514710.1155/2012/1063592-s2.0-84858117980https://doi.org/10.1155/2012/106359https://hdl.handle.net/20.500.14411/1358Eryilmaz, Serkan/0000-0002-2108-1781As a generalisation of consecutive k-out-of-n:F and k-out-of-n:F system models, a consecutive k-within-m-out-of-n: F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. In this paper, we study the survival function of a consecutive k-within-m-out-of-n:F system consisting of independent but nonidentical components. We obtain exact expressions for the survival function when 2m >= n. A detailed analysis for consecutive 2-within-m-out-of-n:F systems is presented and the asymptotic behaviour of hazard rate of these systems is investigated using mixture representations.eninfo:eu-repo/semantics/openAccess[No Keyword Available]ArticleQ22012WOS:0003013650000013