Abstract
Technical and scale efficiencies of Data Envelope Analysis are associated with a two dimensionalsection (a convex set) representing the amounts by which the input and output vectors of a reference decision making unit, may be scaled and still lie in the production possibility set. We describe a simple algorithm, closely resembling the simplex algorithm of linear programming, to traverse the boundary of this set. Given the output of our algorithm, the scalar efficiency measures and return-to-scale characterization are trivially determined. Moreover, the set may be graphically displayed for any problem in any number of dimensions with only a minimum of additional computing effort.
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Hackman, S.T., Passy, U. & Platzman, L.K. Explicit representation of the two-dimensional section of a production possibility set. J Prod Anal 5, 161–170 (1994). https://doi.org/10.1007/BF01073852
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DOI: https://doi.org/10.1007/BF01073852