DEA models for ratio data: convexity consideration

Ali Emrouznejad, Gholam R. Amin

Research output: Contribution to journalArticlepeer-review


Data envelopment analysis (DEA) is defined based on observed units and by finding the distance of each unit to the border of estimated production possibility set (PPS). The convexity is one of the underlying assumptions of the PPS. This paper shows some difficulties of using standard DEA models in the presence of input-ratios and/or output-ratios. The paper defines a new convexity assumption when data includes a ratio variable. Then it proposes a series of modified DEA models which are capable to rectify this problem.
Original languageEnglish
Pages (from-to)486-498
Number of pages13
JournalApplied Mathematical Modelling
Issue number1
Publication statusPublished - Jan 2009


  • linear programming
  • data envelopment analysis
  • DEA
  • production possibility set
  • PPS
  • ratio data
  • convexity


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