Networks · 1980 · 248 citations · 9 references
ComputingComputer ScienceAlgorithmsComputer NetworksInterconnection NetworksDependability AnalysisNetwork AnalysisNetwork ReliabilityReliability ModelingNetwork Reliability AlgorithmsNetwork Reliability AnalysisNode FailuresReliability Bounds
Abstract This paper considers the difficulty of computing several measures of network reliability on directed and undirected networks. Results concerning the NP‐difficulty of several network reliability analysis problems are unified and in several cases generalized to wider classes of measures. Reductions are also given that relate network reliability problems on directed and undirected networks and problems with and without node failures.
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The Complexity of Enumeration and Reliability Problems
Leslie G. Valiant · SIAM Journal on Computing · 1979 · 2.1K citations
Reliability and Fault Tree Analysis
J. E. J., Richard E. Barlow, J.B. Fussell et al. · Technometrics · 1977 · 435 citations
Michael O. Ball · Operations Research · 1979 · 151 citations