Theory of integer-valued data envelopment analysis

Kuosmanen, Timo; Matin, Reza Kazemi

doi:10.1016/j.ejor.2007.09.040

Cited by 83 publications

(87 citation statements)

References 11 publications

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“…Inputs such as the number of research staff and outputs such as the number of patents approved are restricted to non-negative integers. As pointed out by Kuosmanen and Kazemi Matin (2009), simply rounding the optimal solution to the nearest whole numbers can result in misleading efficiency assessment and reference targets. Researchers including Lozano and Villa (2006) and Kuosmanen and Kazemi Matin (2009) …”

Section: Integer Super-efficiencymentioning

confidence: 97%

Super-Efficiency in Data Envelopment Analysis

Chen

2015

International Series in Operations Research &Amp; Management Science

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In an effort to discriminate the performance of efficient decision making units (DMUs), the concept of super-efficiency is proposed, whose basic idea is to eliminate the DMU under evaluation from the reference set. When applied to the variable returns to scale (VRS) situation, the resulting super-efficiency model may become infeasible for certain DMUs due to the convexity constraint. Infeasibility restricts a wider use of super-efficiency DEA. Therefore, taking different viewpoints, a significant amount of studies tackle this problem by developing various new VRS super-efficiency models.

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Section: Integer Super-efficiencymentioning

confidence: 97%

Super-Efficiency in Data Envelopment Analysis

Chen

2015

International Series in Operations Research &Amp; Management Science

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“…Following the axiomatic approach of Kuosmanen and Matin (2009), the production possibility set satisfies the following assumptions.…”

Section: Mixed Integer Aggregate Directional Distance Modelmentioning

confidence: 99%

“…As a consequence, this model was not in agreement with Banker et al (1984) minimum extrapolation principle, and it also overestimated the efficiency of evaluated decision making units (DMUs). In order to accommodate these limitations, Kuosmanen and Matin (2009) developed an axiomatic approach to DEA formulation in constant returns to scale. Further, Matin and Kuosmanen (2009) extended their model to include variable returns to scale.…”

Section: Introductionmentioning

confidence: 99%

Aggregate directional distance formulation of DEA with integer variables

et al. 2015

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Conventional data envelopment analysis (DEA) models make the assumption of non-negativity and real values in the input and output of the systems that are under study. This paper combines these two interrelated ideas. One is the non-radial measurement of efficiency by establishing an aggregate directional distance formulation of the DEA model (ADDM). Another is the introduction of an integer directional distance function. Usually, directional distance formulations of DEA and ADDM projections of efficient targets for inefficient decision making units (DMUs) have non-integer values. In this paper directional distance function is modified and a mixed integer directional distance formulation of DEA is proposed. This model guarantees integer targets for inefficient DMUs and is applicable to measure efficiency even when input and output variables are negative integer values.

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“…According to Mohsenpour (2012, 2013), when the output targets are assumed to be real-valued, the original KKM model proposed by Kuosmanen and Matin (2009) (hereafter referred to as, KKM-R) is:…”

Section: Introductionmentioning

confidence: 99%