The variable returns to scale data envelopment analysis (DEA) model is developed with a maintained hypothesis of convexity in input-output space. This hypothesis is not consistent with standard microeconomic production theory that posits an S-shape for the production frontier, i.e. for production technologies that obey the Regular Ultra Passum Law. Consequently, measures of technical efficiency...

This note generalizes analytical relationships among activity variables of DEA models previously derived by Boussemart, Briec and Leleu (2007). We relax the asumption of constant returns to scale by showing that the key results hold under a weaker asumption of homogeneity. We use the notion of α -returns to scale to extend the analysis to strictly increasing and decreasing returns, covering now...

in this paper, weak defining hyperplanes and the anchor points in dea, as an important subset of the set of extreme efficient points of the production possibility set (pps), are used to construct unobserved dmus and in the long run to improve the envelopment of all observed dmus. there has been a surge of articles on improving envelopment in recent years. what has been done first is in constant...

This paper aims to compare relative efficiency of the knowledge triangle policy in 25 EU member states providing evidence on the knowledge triangle technical efficiency calculated relying on output-oriented Data Envelopment Analysis (DEA) model assuming variable returns to scale (VRS). Moreover, the knowledge triangle efficiency indices are calculated, utilising the concept of actual and target...

This paper discusses alternative methods for determining returns to scale in DEA. The methods for estimating returns to scale in DEA, as developed by Banker (1984), Banker, Charnes and Cooper (1984) and Banker and Thrall (1992), are proved to be conceptually equivalent to the two-stage methods of F~ire, Grosskopf and Lovell (1985) when their assumptions apply. Here the emphasis is on the CCR mo...

Objective: The aims of this study were to determine energy efficiency and CO2 use pattern of grape production in Zanjan province, Iran by a non-parametric method of data envelopment analysis (DEA). Methods: Initial data were collected using a face to face questionnaire from 42 orchards in Abhar city of Zanjan province which is one of the most important centers of grape production in ...

DEA models are tools for evaluation of efficiency and performance of decision making units. They are based on the definition of efficiency as the ratio of the sum of outputs produced by the unit divided by the sum of inputs spent in the production process. A standard LP solver is the only requirement for solving DEA models. Unfortunately specialized optimization packages are not available to ty...

the basic models of data envelopment analysis (dea) are designed in such a way that the values of input and output indicators should be identified and known in them. in other words, these models are not used to consider inaccurate, interval, fuzzy, judgment data. in this paper, the aim is to not only review the past researches about the efficiency of the units by interval data and represent the...

The super-efficiency (SE) model is identical to the standard model, except that the unit under evaluation is excluded from the reference set. This model has been used in ranking efficient units, identifying outliers, sensitivity and stability analysis, measuring productivity changes, and solving two-player games. Under the assumption of variable, non-increasing and non-decreasing returns to sca...