Analysis of joint reliability importance in linear m-consecutive-k,l -out-of-n:F system

Yıl 2020, Cilt: 69 Sayı: 1, 699 - 716, 30.06.2020

Cihangir Kan Murat Ozkut

https://doi.org/10.31801/cfsuasmas.635829

Cited By: 1

Öz

Combinatorial techniques have an important role to compute the joint reliability importance (JRI) of some coherent systems. We obtain combinatorial formula for calculation of the JRI of two components in a generalized version of consecutive type systems consisting of n linearly ordered components such that system fails if and only if (iff) there are at least m l-overlapping runs of k consecutive failed components (n>= m(k-l)+l,l<k). Overlapping runs mean having common elements which is denoted by l. We concentrate on both s-independent & identical components and exchangeable components. Explicit combinatorial formulae are provided for computing the JRI of the above mentioned cases. For both cases, we also compare the results with linear m-consecutive-k-out-of-n:F system (nonoverlapping case when l=0). In addition, some numerical and illustrative examples are presented.

Anahtar Kelimeler

m-consecutive-k-l-out-of-n:F systems, Joint Reliability Importance, Exchangeability, System Reliability, Combinatorial Method

Kaynakça

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