A network with unreliable edges is considered. All failed edges can be repaired. Distribution functions of failure-free operation and repair time of edges are supposed to be of general type. A fast simulation method producing unbiased estimates for the network failure (interruption of connection between two given nodes s and t in a given time interval) is developed. It is proved that under some weak conditions these estimates have a bounded relative error with increasing reliability of components. Numerical examples demonstrate the efficiency of the proposed method.
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