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Journal of Applied Mathematics
Volume 2013, Article ID 906743, 9 pages
Research Article

Developing Common Set of Weights with Considering Nondiscretionary Inputs and Using Ideal Point Method

1Department of Industrial Management, Faculty of Management and Accounting, Islamic Azad University (IAU), Qazvin Branch, Qazvin, Iran
2Department of Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA

Received 22 August 2013; Accepted 3 November 2013

Academic Editor: Mark A. Petersen

Copyright © 2013 Reza Kiani Mavi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Data envelopment analysis (DEA) is used to evaluate the performance of decision making units (DMUs) with multiple inputs and outputs in a homogeneous group. In this way, the acquired relative efficiency score for each decision making unit lies between zero and one where a number of them may have an equal efficiency score of one. DEA successfully divides them into two categories of efficient DMUs and inefficient DMUs. A ranking for inefficient DMUs is given but DEA does not provide further information about the efficient DMUs. One of the popular methods for evaluating and ranking DMUs is the common set of weights (CSW) method. We generate a CSW model with considering nondiscretionary inputs that are beyond the control of DMUs and using ideal point method. The main idea of this approach is to minimize the distance between the evaluated decision making unit and the ideal decision making unit (ideal point). Using an empirical example we put our proposed model to test by applying it to the data of some 20 bank branches and rank their efficient units.