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Refined bounds for the non-Archimedean ε in DEA by Jafar Sadeghi; Mehmet A. Begen; Fredrik Ødegaard is a Engineering article available to read on EtoBox.

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Motivated by measuring the Pareto–Koopmans efficiency of public service units, we present refined bounds for the crucial non-Archimedean infinitesimal, aka epsilon. In non-parametric efficiency modeling, epsilon plays a key role as a multiplication factor to the sum of input and output slacks in the objective function. However, selecting an appropriate value for epsilon is non-trivial. It has to be sufficiently small to guarantee the envelopment model is bounded (or multiplier model to be feasible), yet large enough to provide managerial insight and not cause computational problems. Furthermore, the appropriate value is context dependent on the input and output metrics, and sensitive to assumptions regarding constant or variable returns-to-scale. Finally, different epsilon values may lead to drastically different ordering of the relative efficiency measures. To guarantee consistent relative order of the evaluated units we provide two refined bounds. The first, positive efficiency measures, serves as a precursor to ensure the obtained Pareto–Koopmans efficiency measures are positive and well-defined. The second and main contribution, robust efficiency measures, ensures the relative

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Author

Jafar Sadeghi; Mehmet A. Begen; Fredrik Ødegaard

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Engineering (Physical Sciences)