Each arc of a binary-state network has good/bad states. The system reliability, the probability that source s communicates with sink t, can be computed in terms of minimal paths (MPs). An MP is an ordered sequence of arcs from s to t that has no cycle. Note that a minimal path is different from the so-called minimum path. The latter is a path with minimum cost.

孙惠Improving efficiency of solving d-MC problem in stochastic-flow network.pdf

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