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Reliability Evaluation of Uncertain Multi-State Systems based on Weighted Universal Generating Function
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Dong Wenjie,Liu Sifeng,Fang Zhigeng,Cao Yingsai
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Table 1 Relationship between system performance and component performances
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| 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 | $G_{s}^{(4)}=\max \{{{G}_{1}},{{G}_{2}},\cdots ,{{G}_{n}}\}$ |
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