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 [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.

[1]  Zilla Sinuany-Stern,et al.  Academic departments efficiency via DEA , 1994, Comput. Oper. Res..

[2]  David C. Wheelock,et al.  PUBLISHED: Journal of Money, Credit and Banking, , 1996 .

[3]  Zilla Sinuany-Stern,et al.  Review of ranking methods in the data envelopment analysis context , 2002, Eur. J. Oper. Res..

[4]  Abraham Charnes,et al.  Sensitivity and stability analysis in dea , 1984, Ann. Oper. Res..

[5]  William W. Cooper,et al.  Measures of inefficiency in data envelopment analysis and stochastic frontier estimation , 1997 .

[6]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[7]  Shanling Li,et al.  A super-efficiency model for ranking efficient units in data envelopment analysis , 2007, Appl. Math. Comput..

[8]  T. Sexton,et al.  Data Envelopment Analysis: Critique and Extensions , 1986 .

[9]  Mohsen Rostamy-Malkhalifeh,et al.  Ranking Bank Branches with Interval Data The Application of DEA , 2007 .

[10]  Mette Asmild,et al.  Combining DEA Window Analysis with the Malmquist Index Approach in a Study of the Canadian Banking Industry , 2004 .

[11]  Tser-yieth Chen,et al.  A measurement of Taiwan's bank efficiency and productivity change during the Asian financial crisis , 2005, Int. J. Serv. Technol. Manag..

[12]  F. Hosseinzadeh Lotfi,et al.  Sensitivity and stability analysis in DEA with interval data , 2004, Appl. Math. Comput..

[13]  Paul W. Wilson,et al.  New evidence on returns to scale and product mix among U.S. commercial banks , 2001 .

[14]  F. Førsund,et al.  Slack-adjusted efficiency measures and ranking of efficient units , 1996 .

[15]  Zilla Sinuany-Stern,et al.  DEA and the discriminant analysis of ratios for ranking units , 1998, Eur. J. Oper. Res..

[16]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

[17]  William W. Cooper,et al.  Introduction to Data Envelopment Analysis and Its Uses: With Dea-Solver Software and References , 2005 .

[18]  D. Hauner,et al.  Banking efficiency and competition in low income countries: the case of Uganda , 2008 .

[19]  Kaoru Tone,et al.  A slacks-based measure of efficiency in data envelopment analysis , 1997, Eur. J. Oper. Res..

[20]  Kaoru Tone,et al.  A slacks-based measure of super-efficiency in data envelopment analysis , 2001, Eur. J. Oper. Res..

[21]  Lawrence M. Seiford,et al.  INFEASIBILITY OF SUPER EFFICIENCY DATA ENVELOPMENT ANALYSIS MODELS , 1999 .

[22]  Gholam Reza Jahanshahloo,et al.  A Complete Efficiency Ranking of Decision Making Units in Data Envelopment Analysis , 1999, Comput. Optim. Appl..

[23]  Zilla Sinuany-Stern,et al.  Scaling units via the canonical correlation analysis in the DEA context , 1997, Eur. J. Oper. Res..

[24]  Elisabetta Fiorentino,et al.  The Cost Efficiency of German Banks: A Comparison of Sfa and DEA , 2006, SSRN Electronic Journal.

[25]  Peter Welzel,et al.  Technology and Cost Efficiency in Universal Banking A “Thick Frontier”-Analysis of the German Banking Industry , 1998 .

[26]  Carlo A. Favero,et al.  Technical efficiency and scale efficiency in the Italian banking sector: A non-parametric approach , 1995 .

[27]  Robert G. Dyson,et al.  Efficiency, size, benchmarks and targets for bank branches: an application of data envelopment analysis , 1999, J. Oper. Res. Soc..

[28]  Jorge M. A. Santos,et al.  Introduction to data envelopment analysis , 2013 .

[29]  P. Andersen,et al.  A procedure for ranking efficient units in data envelopment analysis , 1993 .