IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2000 · 80 citations · 12 references
ComputingComputer ScienceElectrical EngineeringAlgorithmsOptimizationUncertainty QuantificationError EstimationGenetic AlgorithmsNumerical AlgorithmsTolerance AnalysisTolerance DesignTolerance ModelingCircuit Robustness AnalysisComputer-aided Tolerance AnalysisInterval ArithmeticSystematic Uncertainties
In this paper, a new approach to the calculation of the true worst case in circuit tolerance analysis (TWC-CTA) with parameters characterized by large uncertainties is presented. It is based on the joint use of genetic algorithms (GAs) and affine arithmetic (AA). The GAs are used to minimize the underestimation error which affects stochastic methods while the AA is applied to minimize the overestimation error which affects interval arithmetic methods in TWC-CTA problems. The joint GA-AA approach presented in this paper ensures a reliable TWC evaluation.
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Genetic algorithms in search, optimization, and machine learning
Choice Reviews Online · 1989 · 49.3K citations
Global Optimization Using Interval Analysis.
Arnold Neumaier, Eldon Hansen · Mathematics of Computation · 1994 · 985 citations