First-order concepts in system reliability

摘要: Abstract The reliability of structural systems is determined by use first-order concepts. Probability estimates for the components are calculated linearization boundary failure domain after transforming an arbitrary vector uncertain variables into independent, standard normal vector. A solution to multinormal integral occurring in formulation elementary series or parallel given and a sequence certain probability bounds on union events involving any subsystem intersection two three subsystems derived. system event represented minimal cut set componental events. accuracy approximations systematically investigated shown be sufficient most practical purposes. method illustrated with simple example.