# Risk-Based Reliability Analysis and Generic Principles for by Michael T. Todinov

By Michael T. Todinov

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A system failure is present if at least one of the valves remains closed on command. This means that the flow will be blocked and fluid will not be delivered through one or both pipelines. As can be verified, a system failure is present if at least one of the devices: the power block (PB), the control module (CM), any of the actuators or any of the valves fails to operate. Consequently, with respect to delivering working fluid in both pipelines, all components are logically arranged in series (Fig.

For all reliability networks of this type, the only non-zero elements are the elements from the two diagonals parallel to the main diagonal. The adjacency matrix representation is suitable for very dense networks, because the matrix requires V 2 bits of storage, where V is the number of nodes. If the network is sparse, a more efficient representation is by adjacency lists. This representation is also suitable in the cases of dense reliability networks. In the adjacency list representation, for each node a list of all adjacent nodes is provided.

A[i][0] holds the number of components in the i-th minimal path or cut set; A[i][j] holds the index of the j-th component from the i-th minimal path or cut set. 1 A System Reliability Analysis Algorithm Based on Testing Minimal Paths Suppose that the number of components is stored in the variable Number_of_components and the number of minimal paths is stored in the variable Number_of_paths. All minimal paths are stored in dynamic arrays A[i] with number equal to the number of paths, i = 1, 2, .