Journal
INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH
Volume 17, Issue 3, Pages 365-380Publisher
WILEY-BLACKWELL
DOI: 10.1111/j.1475-3995.2009.00735.x
Keywords
data envelopment analysis; additive model; linear programming; sensitivity analysis; tolerance approach; parametric analysis; maximum volume region
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In this paper, we study multiparametric sensitivity analysis of the additive model in data envelopment analysis using the concept of maximum volume in the tolerance region. We construct critical regions for simultaneous and independent perturbations in all inputs/outputs of an efficient decision making unit. Necessary and sufficient conditions are derived to classify the perturbation parameters as focal and nonfocal. Nonfocal parameters can have unlimited variations because of their low sensitivity in practice and these parameters can be deleted from the final analysis. For focal parameters a maximum volume region is characterized. Theoretical results are illustrated with the help of a numerical example.
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