International Journal of Data Envelopment Analysis and *Operations Research*
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International Journal of Data Envelopment Analysis and *Operations Research*. 2014, 1(1), 12-15
DOI: 10.12691/ijdeaor-1-1-2
Open AccessArticle

Evaluation of the Relative Efficiency of Gas Stations by Data Envelopment Analysis

Roxana Asayesh1, and Zahra Faeghi Raad2

1Young Researchers and Elite Club, Rasht Branch, Rasht, Iran

2Department of management, Islamic Azad University, Rasht, Iran

Pub. Date: February 07, 2014

Cite this paper:
Roxana Asayesh and Zahra Faeghi Raad. Evaluation of the Relative Efficiency of Gas Stations by Data Envelopment Analysis. International Journal of Data Envelopment Analysis and *Operations Research*. 2014; 1(1):12-15. doi: 10.12691/ijdeaor-1-1-2

Abstract

Performance measurement is an important part of management science and operation research. Data Envelopment Analysis is a powerful analytical tool that has been successfully applied for measuring and benchmarking the relative performance in a wide variety of activities. Data Envelopment Analysis assists decision makers to distinguish efficient and inefficient decision making units in a homogeneous group. Super-efficiency Data Envelopment Analysis models can be used in ranking the performance of efficient decision making units. In this paper, Data Envelopment Analysis is employed to present a mathematical model for evaluating the relative efficiency of gas stations of Iranian Oil products Company. Banker, Charnes and Cooper model is applied to determine the relative efficiency of the stations. Super efficiency model of Andersen and Petersen and Slack Based Measure of Super efficiency ranking method are used to determine the most efficient unit.

Keywords:
data envelopment analysis decision making unit ranking super efficiency input/output

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References:

[1]  Charnes, A., Cooper, W.W., Rhodes, E., Measuring the efficiency of decision making units, European Journal of Operational Research, 2. 429-444. 1987.
 
[2]  Seiford, L.M., Thrall, R.M., Recent developments in DEA:The mathematical programming approach to frontier analysis, Journal of Econometrics, 46. 7-38. 1990.
 
[3]  Cooper, W.W., Seiford, L.M., Tone, T., Introduction to Data Envelopment Analysis and its Uses: with DEA-SolverSoftware and References, Springer, New York, 2006.
 
[4]  Amirteimoori, A. An extended shortest path problem: a DEA-based approach Applied Mathematics Letters, 25 (11). 1839-1843. November 2012.
 
[5]  Amirteimoori, A., Emrouznejad, A., Flexible measure in production process: a DEA-based approach. RARIO Operation Research,45. 63-74. 2011.
 
[6]  Cooper, W.W., Seiford, L.M., Zhu, J., Handbook of Data Envelpment Analysis. Kluwer Academic Publishers, Norwell, MA, 2004.
 
[7]  Thompson, R.G., Lee, E., Thrall, R.M., DEA/AR efficiency of US independent oil/gas producers over time, Computers and Operations Research, 19. 377-391. 1992.
 
[8]  Hawdon, D., Efficiency, performance and regulation of the international gas industry – a bootstrap DEA approach, Energy Policy, 31. 1167-1178. 2003.
 
[9]  Boyd, G.A., Pang, J.X., Estimating the linkage between energy efficiency and productivity, Energy Policy, 28. 289-296. 2000.
 
[10]  Ramanathan, R., A holistic approach to compare energy efficiencies of different transport models, Energy Policy, 28. 743-747. 2000.
 
[11]  Dyckhoff, H., Allen, K., Measuring ecological efficiency with data envelopment analysis (DEA), European Journal of Operational Research, 132. 312-325. 2001.
 
[12]  Korhonen, P.J., Luptacik, M., Eco-efficiency analysis of power plants: An extension of data envelopment analysis, European Journal of Operational Research, 154. 437-446. 2004.
 
[13]  Jian cheng guan, Richard C.M.Yam, Chiu kam mok, Ning Ma., A study of the relationship between competitivess and technological innovation capability based on DEA models, European journal of operational research, 170. 971-986. 2006.
 
[14]  A.S. Camanho, R.G. Dyson, Cost efficiency measurement with price uncertainty: a DEA application to bank branch assessments, European Journal of Operational Research, 161. 432-446. 2005.
 
[15]  X. Chen, M. Skully, K. Brown, Banking efficiency in China: application of DEA to pre- and post-deregulation eras: 1993-2000, China Econ. Rev. 16. 229-245. 2005.
 
[16]  J. Johnes, Measuring teaching efficiency in higher education: an application of data envelopment analysis to economics graduates from UK Universities, European journal of operational research, 174. 443-456. 1993. 2006.
 
[17]  T. Ertay, D. Ruan, U.R. Tuzkaya, Integrating data envelopment analysis and analytic hierarchy for the facility layout design in manufacturing systems, Inform. Sci, 176. 237-262. 2006.
 
[18]  S.M. Shafer, T.A. Byrd, A framework for measuring the efficiency of organizational investments in information technology using data envelopment analysis, Omega, 28. 125-141. 2008.
 
[19]  Amirteimoori, A., S. Kordrostami., A distance-based measure of super efficiency in data envelopment analysis: an application to gas companies, J Glob Optim, 54. 117-128. 2012.
 
[20]  Banker, R.D., Das, S., Datar, S.M.: Analysis of cost variances for management control in hospitals. Res. Gov, Nonprofit Account, 5. 268-291. 1989.
 
[21]  Andersen, P., Petersen, N.C.:Aprocedure for ranking efficient units in data envelopment analysis, Manag.Sci, 39, 1261–1264. 1993.
 
[22]  R.D. Banker, A. Charnes, W.W. Cooper, Some models for estimating technical and scale inefficiency in data envelopment analysis, Manage. Sci. 30. 1078-1092. 2006.
 
[23]  M. Toloo,S. Nalchigar, A new integrated DEA model for finding most -efficient DMU, the international journal of management science. 2008.
 
[24]  Tone, K.: A slack-based measure of super-efficiency in DEA, European journal of operational research, 143. 32-41. 2002.