Reliability Evaluation of Uncertain Multi-State Systems based on Weighted Universal Generating Function
Dong Wenjie,Liu Sifeng,Fang Zhigeng,Cao Yingsai
Table 1 Relationship between system performance and component performances
Type of MSS System performance
Series system Flow transmission MSS $G_{s}^{(1)}=\min \{{{G}_{1}},{{G}_{2}},\cdots ,{{G}_{n}}\}$
Task processing MSS $G_{s}^{(2)}=\frac{1}{\sum\limits_{j=1}^{n}{(1/{{G}_{j}})}}$
Parallel system Flow transmission MSS $G_{s}^{(3)}=\sum\limits_{j=1}^{n}{{{G}_{j}}}$
Task processing MSS $G_{s}^{(4)}=\max \{{{G}_{1}},{{G}_{2}},\cdots ,{{G}_{n}}\}$