An integer-valued data envelopment analysis model with bounded outputs

Reza K. Matin, Ali Emrouznejad

Research output: Contribution to journalArticlepeer-review


Integer-valued data envelopment analysis (DEA) with alternative returns to scale technology has been introduced and developed recently by Kuosmanen and Kazemi Matin. The proportionality assumption of their introduced "natural augmentability" axiom in constant and nondecreasing returns to scale technologies makes it possible to achieve feasible decision-making units (DMUs) of arbitrary large size. In many real world applications it is not possible to achieve such production plans since some of the input and output variables are bounded above. In this paper, we extend the axiomatic foundation of integer-valuedDEAmodels for including bounded output variables. Some model variants are achieved by introducing a new axiom of "boundedness" over the selected output variables. A mixed integer linear programming (MILP) formulation is also introduced for computing efficiency scores in the associated production set. © 2011 The Authors. International Transactions in Operational Research © 2011 International Federation of Operational Research Societies.
Original languageEnglish
Pages (from-to)741-749
Number of pages9
JournalInternational Transactions in Operational Research
Issue number6
Early online date6 Sept 2011
Publication statusPublished - Nov 2011


  • data envelopment analysis
  • integer-valued DEA
  • efficiency
  • mixed integer linear programming
  • bounded outputs


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