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Linear programming solutions and distance functions under a constant returns to scale technology

  • Theoretical Paper
  • Published:
Journal of the Operational Research Society

Abstract

In this paper, we investigate the various relationships among the linear programming solutions of data envelopment analysis (DEA) models under a constant returns to scale technology. We derive the analytical relationships among the efficiency measures and the activity variables for four separate models: the input-based, the output-based, the hyperbolic, and the proportional distance functions. We apply our results in order to derive a test of consistency that can be used in assessing the returns to scale among differing DEA models.

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Authors and Affiliations

  1. University of Lille and LEM-IESEG, Lille, France

    J-P Boussemart

  2. University of Perpignan, Perpignan, France

    W Briec

  3. CNRS-LEM-Catholic University of Lille, Lille, France

    H Leleu

Authors
  1. J-P Boussemart
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  2. W Briec
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  3. H Leleu
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Corresponding author

Correspondence to H Leleu.

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Boussemart, JP., Briec, W. & Leleu, H. Linear programming solutions and distance functions under a constant returns to scale technology. J Oper Res Soc 60, 72–78 (2009). https://doi.org/10.1057/palgrave.jors.2602519

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  • DOI: https://doi.org/10.1057/palgrave.jors.2602519

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