A. Charnes et al., SENSITIVITY AND STABILITY OF EFFICIENCY CLASSIFICATIONS IN DATA ENVELOPMENT ANALYSIS, JOURNAL OF PRODUCTIVITY ANALYSIS, 7(1), 1996, pp. 5-18
A new technique for assessing the sensitivity and stability of efficie
ncy classifications in Data Envelopment Analysis (DEA) is presented. H
ere developed for the ratio (CCR) model, this technique extends easily
to other DEA variants. An organization's input-outut vector serves as
the center for a cell within which the organization's classification
remains unchanged under perturbations of the data. For the l(1), l(inf
inity) and generalized l(infinity) norms, the radius of the maximal ce
ll can be computed using linear programming formulations. This radius
can be interpreted as a measure of the classification's stability, esp
ecially with respect to errors in the data.