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Article Citation - WoS: 23Citation - Scopus: 25Linear m-Consecutive-k, l-Out-of-n: F System(Ieee-inst Electrical Electronics Engineers inc, 2012) Eryilmaz, Serkan; Mahmoud, BoushabaWe 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.
