TAILIEUCHUNG - A New Approach for Ranking Efficient Units in Data Envelopment Analysis and Application to a Sample of Vietnamese Agricultural Bank Branches
This paper proposes a new approach for ranking efficiency units in data envelopment analysis as a modification of the super-efficiency models developed by Tone. The new approach based on slacks-based measure of efficiency (SBM) for dealing with objective function used to classify all of the decision-making units allows the ranking of all inefficient DMUs and overcomes the disadvantages of infeasibility. | American Journal of Operations Research, 2012, 2, 126-136 Published Online March 2012 () A New Approach for Ranking Efficient Units in Data Envelopment Analysis and Application to a Sample of Vietnamese Agricultural Bank Branches Nguyen Khac Minh1, Pham Van Khanh2, Pham Anh Tuan3 Water Resources University, Hanoi, Vietnam Military Technical Academy, Hanoi, Vietnam 3 Air Defence-Air Force Academy, Hanoi, Vietnam Email: khacminh@, van_khanh1178@, 2 1 Received February 1, 2012; revised March 5, 2012; accepted March 13, 2012 ABSTRACT This paper proposes a new approach for ranking efficiency units in data envelopment analysis as a modification of the super-efficiency models developed by Tone [1]. The new approach based on slacks-based measure of efficiency (SBM) for dealing with objective function used to classify all of the decision-making units allows the ranking of all inefficient DMUs and overcomes the disadvantages of infeasibility. This method also is applied to rank super-efficient scores for the sample of 145 agricultural bank branches in Viet Nam during 2007-2010. We then compare the estimated results from the new SCI model and the exsisting SBM model by using some statistical tests. Keywords: Data Envelopment Analysis (DEA); Slacks-Based Measure of Efficiency (SBM); SCI Super-Efficient 1. Introduction DEA is a non-parametric approach of frontier estimation, first developed by Charnes, Cooper, and Rhodes (CCR) [2]. Based on the original CCR model, Banker, Charnes, and Cooper (BBC) [3] developed a variable returns to scale (VRS) variation. Various researchers have developed DEA ever since. A large number of empirical studies have adapted these models to deal with real economic problems. One adaptation is to rank decision-making units (DMUs), such as firms or industries. DMUs are divided into efficient and inefficient groups, and their ranks can be .
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