Reliability Of Connected (1,1,2)-or-(1,2,1)-or-(2,1,1) out- of-(n,2,2):F Lattice System

Gharib, M.; El-Sayed, E. M.; Nashwan, I. I.H.

doi:10.21608/icmep.2010.29773

	Reliability Of Connected (1,1,2)-or-(1,2,1)-or-(2,1,1) out- of-(n,2,2):F Lattice System
The International Conference on Mathematics and Engineering Physics
Article 5, Volume 5, International Conference on Mathematics and Engineering Physics (ICMEP-5), May 2010, Page 1-9 PDF (356.52 K)
Document Type: Original Article
DOI: 10.21608/icmep.2010.29773
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Authors
M. Gharib; E. M. El-Sayed; I. I.H. Nashwan
Abstract
Abstract Few papers study the reliability of consecutive-   1 2 3 r , r , r -out-of-   1 2 3 n ,n ,n : F system, since the computation of reliability in the 3- dimensional system is more complicated than the other systems; most of researchers study special cases. In this paper, we study a special case of 3-dimentional systems, it is 1,1,2 , 1,2,1 or 2,1,1 - out- of- n,2,2 : F or connected 2-out-of- n,2,2 : F system, we compute reliability of the system using three methods; the 1st method, is a direct computation of reliability, we determine the configurations of n parallel 22 of the system. Secondly, we find the transition probability matrix of Markov chain to compute system reliability, where the 3rd method, we uses “the recursive algorithm of a connected 1,2or 2,1-out-of-m,n : F system to compute the reliability of the system” [1] for computing the reliability of the system.


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