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1.4.2 Decomposition and Factorization

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The decomposition method begins by selecting a critical component, denoted by x, which is an important component of the complex system structure. The reliability of the system can be calculated by the conditional probability:

(1.55)

The factorization method is developed based on the decomposition method, which is used in a network system. Denote e as a critical edge in the network G. The reliability of the network is

(1.56)

Reliability Analysis, Safety Assessment and Optimization

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