Author/Authors :
Noori, Zahra Department of Mathematics - Islamic Azad University Lahijan Branch, Lahijan, Iran , Zhiani Rezai, Hamed Department of Mathematics - Islamic Azad University Mashhad Branch, Mashhad, Iran , Davoodi, Alireza Department of Mathematics - Islamic Azad University Neyshabur Branch, Neyshabur, Iran , Kordrostami, Sohrab Department of Mathematics - Islamic Azad University Lahijan Branch, Lahijan, Iran
Abstract :
Data envelopment analysis models are able to rank decision-making
units (DMUs) based on their efficiency scores. In spite of the fact that there exists
a unique ranking of inefficient DMUs, ranking efficient DMUs is problematic.
However, rather than ranking methods, another way to choose one of the efficient
units is to determine the most efficient DMU. Up to the present, many models
have been proposed to rank DMUs and determine the most efficient one. These
models require solving nonlinear or integer programs, which are NP-hard and
time-consuming. Considering efficient DMU’s characteristics, this paper proposes
a procedure to find the most efficient DMU through some simple operations.
The validity of the proposed approach is verified and tested via some numerical
examples.
Keywords :
Data envelopment analysis , Most efficient DMU , Input and output weights , Mathematical model
