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

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 fail...

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Veröffentlicht in:IEEE transactions on reliability 2012-09, Vol.61 (3), p.787-791
Hauptverfasser: Eryilmaz, S., Mahmoud, B.
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Mahmoud, B.
description 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.
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Educational institutions
Equations
Probability
Production
Quality control
Reliability theory
survival function
system signature
title Linear m -Consecutive- k , l-Out-of- n: F System
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