A Complete Efficiency Ranking of Decision Making Units in Data Envelopment Analysis

Authors:
Saeid Mehrabian;Mohammad R. Alirezaee;Gholam R. Jahanshahloo
Affiliations:
Department of Mathematics, University for Teacher Education, Tehran, Iran;Department of Mathematics, University for Teacher Education, Tehran, Iran;Department of Mathematics, University for Teacher Education, Tehran, Iran
Venue:
Computational Optimization and Applications
Year:
1999

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Abstract

The efficiency measures provided by DEA can be used for ranking Decision Making Units (DMUs), however, this ranking procedure does not yield relative rankings for those units with 100% efficiency.Andersen and Petersen have proposed a modified efficiency measure forefficient units which can be used for ranking, but this ranking breaks downin some cases, and can be unstable when one of the DMUs has a relativelysmall value for some of its inputs. This paper proposes an alternativeefficiency measure, based on a different optimization problem thatremoves the difficulties.