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Linear m -Consecutive- k , l -Out-of- n : F System

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2 Author(s)
Eryilmaz, S. ; Dept. of Ind. Eng., Atilim Univ., Ankara, Turkey ; Mahmoud, B.

We 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 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.

Published in:

Reliability, IEEE Transactions on  (Volume:61 ,  Issue: 3 )