Abstract

Many real-world systems are multistate systems composed of multistate components in which the reliability can be computed in terms of minimal path (MP) vectors to level d (named d-MPs). Such systems (electric power, transportation, etc. ) may be regarded as flow networks whose arcs have independent, discrete, limited, and multivalued random capacities. In this study, we focused on how to verify all the d-MP candidates before calculating the reliability value of a network. Based on the special property of d-MPs, we develop an intuitive algorithm which is better than the best-known existing method in verifying the d-MP candidates. Analysis of the proposed algorithm and comparison with existing algorithms shows that the proposed method is easier to understand and implement. Finally, an example is shown to illustrate how all d-MPs are generated and verified by the proposed algorithm. Then the reliability of this example is computed.

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