%0 Journal Article %T Reliability Of Connected (1,1,2)-or-(1,2,1)-or-(2,1,1) out- of-(n,2,2):F Lattice System %J The International Conference on Mathematics and Engineering Physics %I Military Technical College %Z 2636-431X %A Gharib, M. %A El-Sayed, E. M. %A Nashwan, I. I.H. %D 2010 %\ 05/01/2010 %V 5 %N International Conference on Mathematics and Engineering Physics (ICMEP-5) %P 1-9 %! Reliability Of Connected (1,1,2)-or-(1,2,1)-or-(2,1,1) out- of-(n,2,2):F Lattice System %R 10.21608/icmep.2010.29773 %X AbstractFew papers study the reliability of consecutive-   1 2 3 r , r , r -out-of-   1 2 3 n ,n ,n : F system, sincethe computation of reliability in the 3- dimensional system is more complicated than the othersystems; 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 thesystem using three methods; the 1st method, is a direct computation of reliability, wedetermine the configurations of n parallel 22 of the system. Secondly, we find the transitionprobability matrix of Markov chain to compute system reliability, where the 3rd method, weuses “the recursive algorithm of a connected 1,2or 2,1-out-of-m,n : F system tocompute the reliability of the system” [1] for computing the reliability of the system. %U https://icmep.journals.ekb.eg/article_29773_1e9eba35b27bee787d13f8707bc0bd97.pdf