Eryilmaz, SerkanMahmoud, Boushaba2024-07-052024-07-0520120018-95291558-172110.1109/TR.2012.22075732-s2.0-84865721087https://doi.org/10.1109/TR.2012.2207573https://hdl.handle.net/20.500.14411/329Eryilmaz, Serkan/0000-0002-2108-1781We propose a new model which generalizes the linear m-consecutive-k-out-of-n: F system to the case of the m-consecutive-k-out-of-n: F system with l-overlapping runs. The new system is called the m-consecutive-k,l-out-of-n: F system, and consists of n linearly ordered components such that the system fails iff there are at least m l-overlapping runs of k consecutive failed components. The number of path sets including a specified number of working components is obtained via a combinatorial method, and this quantity is used to obtain the reliability and the signature of the system.eninfo:eu-repo/semantics/closedAccessCombinatorial methodsystem signaturesurvival functionArticle