The use of graph theory in the sensitivity analysis of the model output: a second order screening method |
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Authors: | Francesca Campolongo Roger Braddock |
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Affiliation: | Faculty of Environmental Sciences, Griffith University, Nathan Campus, 4111 Queensland, Australia |
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Abstract: | Sensitivity analysis screening methods aim to isolate the most important factors in experiments involving a large number of significant factors and interactions.This paper extends the one-factor-at-a-time screening method proposed by Morris. The new method, in addition to the ‘overall' sensitivity measures already provided by the traditional Morris method, offers estimates of the two-factor interaction effects. The number of model evaluations required is O(k2), where k is the number of model input factors.The efficient sampling strategy in the parameter space is based on concepts of graph theory and on the solution of the ‘handcuffed prisoner problem'. |
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Keywords: | Reliability Sensitivity analysis Mathematical models Sampling Problem solving Graph theory Second order screening method Morris method Handcuffed prisoner problem |
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