IEEE Transactions on Reliability · 1980 · 78 citations · 9 references
EngineeringMonte Carlo MethodsSystem ReliabilityReliability EngineeringUncertainty QuantificationDynamic ReliabilitySystems EngineeringModeling And SimulationMonte Carlo EvaluationStatisticsReliabilityComputer EngineeringSd MethodProbability TheoryComputer ScienceReliability PredictionMonte Carlo SamplingSequential Monte CarloDependability ModellingReliability ModellingSequential DestructionElement Failure Probabilities
Circumstances favoring the use of Monte Carlo methods for evaluating the reliability of large systems are discussed. A new method, that of Sequential Destruction (SD) is introduced. The SD method requires no preparatory topological analysis of the system, and remains viable when element failure probabilities are small. It applies to a variety of reliability measures and does not require element failures to be s-independent. The method can be used to improve the performance of selective sampling techniques. Substantial variance reductions, as well as computational savings, are demonstrated using a sample system with more than 100 elements.
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Computing the Reliability of Complex Networks
Arnie Rosenthal · SIAM Journal on Applied Mathematics · 1977 · 197 citations
Network reliability analysis: Part I
Richard Van Slyke, H. Frank · Networks · 1971 · 139 citations
Engineering, Combinatorial Analysis, Equal Reliabilities +16