Volume 25, Issue 3 (IJIEPR 2014)                   IJIEPR 2014, 25(3): 207-214 | Back to browse issues page

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Razavi Hajiagha S H, Hashemi S S, Amoozad Mahdiraji H. DEA common set of weights based on a multi objective Fractional Programming. IJIEPR 2014; 25 (3) :207-214
URL: http://ijiepr.iust.ac.ir/article-1-535-en.html
DEA common set of weights based on a multi objective Fractional Programming
Seyed Hossein Razavi Hajiagha 1, Shide Sadat Hashemi2 , Hannan Amoozad Mahdiraji2
1- Institute for Trade Studies and Research , s.hossein.r@gmail.com
2- Department of management, Kashan Branch, Islamic Azad University, Kashan, Iran
Abstract:   (6671 Views)
Data envelopment analysis operates as a tool for appraising the relative efficiency of a set of homogenous decision making units. This methodology is applied widely in different contexts. Regarding to its logic, DEA allows each DMU to take its optimal weight in comparison with other DMUs while a similar condition is considered for other units. This feature is a bilabial characteristic which optimizes the performance of units in one hand. This flexibility on the other hand threats the comparability of different units because different weighting schemes are used for different DMUs. This paper proposes a unified model for determination of a common set of weights to calculate DMUs efficiency. This model is developed based on a multi objective fractional linear programming model that considers the original DEA's results as ideal solution and seeks a set of common weights that rank the DMUs and increase the model's discrimination power. Comparison of the proposed method with some of the previously presented models has shown its advantages as a DMUs ranking model.
Keywords: DEA, Common Set of Weights, Multi Objective Fractional Linear Programming, Membership Function, Ranking.
Full-Text [PDF 691 kb]   (3136 Downloads)    
Type of Study: Research | Subject: Operations Research
Received: 2013/06/19 | Accepted: 2014/05/21 | Published: 2014/07/23
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