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Super-efficiency in DEA by effectiveness of each unit in society

โœ Scribed by A.A. Noura; F. Hosseinzadeh Lotfi; G.R. Jahanshahloo; S. Fanati Rashidi


Book ID
104001055
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
194 KB
Volume
24
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


One of the most important topics in management science is determining the efficiency of Decision Making Units (DMUs). The Data Envelopment Analysis (DEA) technique is employed for this purpose. In many DEA models, the best performance of a DMU is indicated by an efficiency score of one. There is often more than one DMU with this efficiency score. To rank and compare efficient units, many methods have been introduced under the name of super-efficiency methods. Among these methods, one can mention [1] super-efficiency model, and the slack-based measure introduced by Tone ( ) . Each of the methods proposed for ranking efficient DMUs has its own advantages and shortcomings. In this paper, we present a super-efficiency method by which units that are more effective and useful in society have better ranks. In fact, in order to determine super-efficiency by this method, the effectiveness of each unit in society is considered rather than the cross-comparison of the units. To do so, we divide the inputs and outputs into two groups, desirable and undesirable, at the discretion of the manager, and assign weights to each input and output. Then we determine the rank of each DMU according to the weights and the desirability of inputs and outputs.


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