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

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 oft...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics letters 2011-05, Vol.24 (5), p.623-626
Main Authors: Noura, A.A., Hosseinzadeh Lotfi, F., Jahanshahloo, G.R., Fanati Rashidi, S.
Format: Article
Language:English
Subjects:
Computational efficiency
Computing time
Data envelopment analysis
Decision making
Decision making unit
Efficiency
Exact sciences and technology
Management
Mathematical analysis
Mathematical models
Mathematics
Names
Numerical analysis
Numerical analysis. Scientific computation
Operations research
Ranking
Sciences and techniques of general use
Super efficiency
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 Andersen and Petersen’s (1993) [1] super-efficiency model, and the slack-based measure introduced by Tone (2002) [4]. 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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2010.11.025