Gharib, M., El-Sayed, E., Nashwan, I. (2010). 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, 5(International Conference on Mathematics and Engineering Physics (ICMEP-5)), 1-9. doi: 10.21608/icmep.2010.29773

M. Gharib; E. M. El-Sayed; I. I.H. Nashwan. "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, 5, International Conference on Mathematics and Engineering Physics (ICMEP-5), 2010, 1-9. doi: 10.21608/icmep.2010.29773

Gharib, M., El-Sayed, E., Nashwan, I. (2010). '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, 5(International Conference on Mathematics and Engineering Physics (ICMEP-5)), pp. 1-9. doi: 10.21608/icmep.2010.29773

Gharib, M., El-Sayed, E., Nashwan, I. 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, 2010; 5(International Conference on Mathematics and Engineering Physics (ICMEP-5)): 1-9. 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

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 22 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 1,2or 2,1-out-of-m,n : F system to compute the reliability of the system” [1] for computing the reliability of the system.