Operations Research · 1968 · 38 citations · 9 references
Mathematical ProgrammingTotal CostEngineeringSystem ReliabilityOptimum RedundancyOperations ResearchParallel RedundancyReliability EngineeringUncertainty QuantificationDynamic ReliabilitySystems EngineeringCombinatorial OptimizationReliabilityInteger OptimizationComputer EngineeringReliability PredictionMaximum System ReliabilityInteger ProgrammingReliability ModellingOptimization ProblemReliability ManagementMixed Integer OptimizationLinear Programming
This paper demonstrates the applicability of convex and integer programming to the problem of determining optimum redundancy. A design method to maximize system reliability subject to several constraints on total cost, weight, volume, etc., is described and numerical examples are given to illustrate the procedure for the case of parallel redundancy.
9
Mathematical Theory of Reliability
A. P. Basu, Richard E. Barlow, Frank Proschan · Econometrica · 1966 · 2.7K citations
Reliability of physical system
Hisashi Mine · IEEE Transactions on Information Theory · 1959 · 58 citations