Sensitivity analysis of inefficient units in data envelopment analysis

  • Authors:

  • G. R. Jahanshahloo;F. Hosseinzadeh Lotfi;N. Shoja;A. Gholam Abri;M. Fallah Jelodar;Kamran Jamali Firouzabadi

  • Affiliations:

  • Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;Department of Mathematics, Firoozkoh branch, Islamic Azad University, Firoozkoh, Iran;Department of Mathematics, Firoozkoh branch, Islamic Azad University, Firoozkoh, Iran;Department of Mathematics, Firoozkoh branch, Islamic Azad University, Firoozkoh, Iran;Department of Mathematics, Firoozkoh branch, Islamic Azad University, Firoozkoh, Iran

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2011

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Abstract

One important issue in DEA which has been studied by many DEA researchers is the sensitivity of the results of an analysis to perturbations in the data. This paper develops a procedure for performing a sensitivity analysis of the inefficient decision making units (DMUs). The procedure yields an exact ''Necessary Change Region'' in which the efficiency score of a specific inefficient DMU changes to a defined efficiency score. In what follows, we identify a new frontier, and prove the efficiency score of each arbitrary unit on it which is defined as the efficiency score.