TY - GEN
T1 - A study on reliability of a special two-dimensional system
AU - Zhao, Xian
AU - He, Aimin
AU - Cui, Lirong
AU - Liu, Fen
PY - 2009
Y1 - 2009
N2 - A linear consecutive- (2,2) -out-of- (m, n) : F system is a special two-dimensional system, which consists of m x n components, and fails if and only if all components in a 2 x 2 sub-matrix are failed. This system can be treated as a reliability model for video monitoring systems, phased-array radar systems, and wireless communication networks etc. An effective method has been developed for evaluating the exact system reliability, but that method can only give a recursive algorithm that can not be used for system optimization. In this paper, a finite Markov chain imbedding approach is used to obtain the reliability analytic formulas of that system. Numerical examples show that the method can be used for not only the system with independent identical distribution components, but also with independent non-identical distribution components.
AB - A linear consecutive- (2,2) -out-of- (m, n) : F system is a special two-dimensional system, which consists of m x n components, and fails if and only if all components in a 2 x 2 sub-matrix are failed. This system can be treated as a reliability model for video monitoring systems, phased-array radar systems, and wireless communication networks etc. An effective method has been developed for evaluating the exact system reliability, but that method can only give a recursive algorithm that can not be used for system optimization. In this paper, a finite Markov chain imbedding approach is used to obtain the reliability analytic formulas of that system. Numerical examples show that the method can be used for not only the system with independent identical distribution components, but also with independent non-identical distribution components.
KW - Finite Markov chain imbedding approach
KW - Reliability
KW - Two dimensional systems
UR - https://www.scopus.com/pages/publications/77949469604
U2 - 10.1109/ICIEEM.2009.5344460
DO - 10.1109/ICIEEM.2009.5344460
M3 - Conference contribution
AN - SCOPUS:77949469604
SN - 9781424436705
T3 - IE and EM 2009 - Proceedings 2009 IEEE 16th International Conference on Industrial Engineering and Engineering Management
SP - 1165
EP - 1168
BT - IE and EM 2009 - Proceedings 2009 IEEE 16th International Conference on Industrial Engineering and Engineering Management
T2 - 2009 IEEE 16th International Conference on Industrial Engineering and Engineering Management, IE and EM 2009
Y2 - 21 October 2009 through 23 October 2009
ER -