Military Technical College
The International Conference on Mathematics and Engineering Physics
2636-431X
5
International Conference on Mathematics and Engineering Physics (ICMEP-5)
2010
05
01
Reliability Of Connected (1,1,2)-or-(1,2,1)-or-(2,1,1) out- of-(n,2,2):F Lattice System
1
9
29773
10.21608/icmep.2010.29773
EN
M.
Gharib
E. M.
El-Sayed
I. I.H.
Nashwan
Journal Article
2019
04
07
Abstract<br />Few papers study the reliability of consecutive- 1 2 3 r , r , r -out-of- 1 2 3 n ,n ,n : F system, since<br />the computation of reliability in the 3- dimensional system is more complicated than the other<br />systems; most of researchers study special cases.<br />In this paper, we study a special case of 3-dimentional systems, it is 1,1,2 , 1,2,1 or 2,1,1 -<br />out- of- n,2,2 : F or connected 2-out-of- n,2,2 : F system, we compute reliability of the<br />system using three methods; the 1st method, is a direct computation of reliability, we<br />determine the configurations of n parallel 22 of the system. Secondly, we find the transition<br />probability matrix of Markov chain to compute system reliability, where the 3rd method, we<br />uses “the recursive algorithm of a connected 1,2or 2,1-out-of-m,n : F system to<br />compute the reliability of the system” [1] for computing the reliability of the system.
https://icmep.journals.ekb.eg/article_29773_1e9eba35b27bee787d13f8707bc0bd97.pdf