IEEE Transactions on Reliability · 1976 · 18 citations · 6 references
Natural SciencesSystems EngineeringCircuit TheoryInterconnection NetworksOptimizationBranch And BoundCombinatorial OptimizationInteger ProgrammingNetwork OptimizationNetwork ReliabilityRedundancy TechniquesNetwork RedundancyObjective Function FormulationOptimal AllocationRedundancy AllocationRedundancy DesignReliability OptimizationSystem ReliabilitySystem Reliability Analysis
This paper presents general algorithms for solving redundancy optimization problem for non series-parallel networks. Using closed form expressions for star-delta and delta-star conversions, the exact system reliability expression (objective function) is written down in a straightforward manner. The Box method has been employed to get the optimal continuous solution. The integer solution is obtained by a modified Box method and Branch and bound technique. The scheme is illustrated with an example. The parametric method is used throughout
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Mathematical Theory of Reliability
S. J. Amster, R. E. Barlow, Frank Proschan et al. · Technometrics · 1965 · 496 citations
Optimization: Theory and practice
David H. Winfield · IEEE Transactions on Automatic Control · 1972 · 137 citations