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New Models for Data Envelopment Analysis. Measuring Efficiency Outwith the VRS Frontier


  • Paterson, Iain

    (Institute for Advanced Studies, Vienna)


Some models are presented in this paper which extend the concept of measuring superefficiency to the useful case of variable returns-to-scales (VRS), thus enabling the ranking of efficient as well as inefficient units. Two models, namely the Universal Radial Model and the Universal Additive Model, are presented that also have strong invariance properties (units and translation invariance). For both of these models a method for normalising the efficiency scores on a (0-1+) scale is presented. These models have been implemented in a software package and applied to the ranking of units in an industrial context.

Suggested Citation

  • Paterson, Iain, 2000. "New Models for Data Envelopment Analysis. Measuring Efficiency Outwith the VRS Frontier," Economics Series 84, Institute for Advanced Studies.
  • Handle: RePEc:ihs:ihsesp:84

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    References listed on IDEAS

    1. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
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    More about this item


    Data envelopment analysis (DEA); Superefficiency; Universal models;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software


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