IEEE Transactions on Circuit Theory · 1972 · 68 citations · 8 references
Natural SciencesIndustrial EngineeringSystems EngineeringDesign OptimizationFault ToleranceOptimizationAssignment ProblemsConstrained OptimizationNetwork OptimizationNonlinear ProgrammingTolerance DesignTolerance ModelingMinimizationNetwork Behavior AnalysisNetwork Sensitivity AnalysisSensitivity Analysis In Optimization ModelsSensitivity To ChangeTolerance AllocationTolerance ConstraintsTolerance Optimization
Tolerance assignment in linear networks on a worstcase basis is treated as a nonlinear programming problem. The sequential unconstrained minimization technique of Fiacco and McCormick is employed as a solution mechanism with network behavior being evaluated by means of a large-change sensitivity model. The solution mechanism also yields worst-case responses at the constraint frequencies. Examples are presented and a comparison is made with the method proposed by Karafin.
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A Rapidly Convergent Descent Method for Minimization
R. Fletcher, M. J. D. Powell · The Computer Journal · 1963 · 4.6K citations · Full text