Title : 
A Decomposition Method for Computing System Reliability by a Matrix Expression
         
        
        
            Author_Institution : 
4-432 Shin-Sakuragaoka-Danchi; Imaicho Hodogayaku; Yokohama City 240 JAPAN.
         
        
        
        
        
        
            Abstract : 
A decomposition method using a matrix representation for computing the reliability of a redundant system is proposed. The system is decomposed into two subsystems according to up- and down- states of a keystone element. This is repeated recursively until all subsystems have known reliability. The criterion for choosing the keystone element and an algorithm for decomposing a system are described.
         
        
            Keywords : 
Bayesian methods; Complex networks; Computer networks; Matrix decomposition; Redundancy; Reliability theory; Bayesian decomposition; Keystone; Matrix; Oriented network; Redundancy; System analysis;
         
        
        
            Journal_Title : 
Reliability, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TR.1978.5220412