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A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities

Year 2012, Volume: 25 Issue: 1, 107 - 117, 24.01.2012

H.hasan Örkcü Hasan Bal

Abstract

The cross-efficiency evaluation (CEE) method, which was developed as a contribution to classical Data Envelopment Analysis (DEA), has been successively used to solve problems involving unrealistic weight distribution as well as problems that do not require prior information for ranking the decision making units (DMUs). Originally, the CEE method included the efficiency evaluations that were obtained for a DMU by the classical DEA for the reuse of optimal weights in the other DMUs. As the optimal weights in the classical DEA solutions usually have multiple solutions, this reduces the usefulness of the CEE method. Hence, this study suggests a new technique that could be used in the second stage of the CEE method for removing the problem of multiple optimal weights and for determining the reasonable ranks of DMUs. The performance of the proposed model is examined on real data set relative to the efficiencies of Turkey cities.

 

 

                Key Words: Data envelopment analysis, cross

                                    efficiency, ranking.

 

Keywords

Data envelopment analysis cross efficiency ranking.

References

  • Adler,N., Friedman, L., Sinuany-Stern, Z., “Review of ranking methods in the data envelopment analysis context”, European Journal of Operational Research, 140: 249–265(2002).
  • Andersen, P., Petersen, N., “A procedure for ranking efficient units in data envelopment analysis”, Management Science, 39(10): 1261–1264(1993.
  • Anderson, T.R., Hollingsworth, K.B., Inman, L.B., “The fixed weighting nature of a cross evaluation model”, Journal of Productivity Analysis, 18(1): 249–255(2002).
  • Bal, H., Örkcü, H.H., “A goal programming approach to weight dispersion problem in data envelopment analysis”, G.U. Journal of Science, 20(4): 117–125 (2007).
  • Bal, H., Örkcü, H.H., Çelebioglu, S., “A new method based on dispersion of weights in data envelopment analysis”, Computers & Industrial Engineering 54(3): 502–512 (2008).
  • Bal, H., Örkcü, H.H., Çelebioglu, S., “Improving the discrimination power and weights dispersion in the data envelopment analysis”, Computers & Operations Research, 37(1): 99–107 (2010).
  • Charnes, A., Cooper, W.W., Rhodes, E., “Measuring the efficiency of decision making units”, European Journal of Operational Research, 2: 429-444 (1978).
  • Cooper, W.W., Ruiz, J.L., Sirvent, I., “Choosing weights from alternative optimal solutions of dual multiplier dual models in DEA”, European Journal of Operational Research, 180: 443-458 (2007).
  • Cooper,W.W., Ruiz, J.L., Sirvent, I., “Selecting non zero weights to evaluate effectiveness of basketball players with DEA”, European Journal of Operational Research 195: 563-574 (2009).
  • Cooper, W.W., Seiford, L.M., Tone, K., “Data Envelopment Analysis”, Kluwer Academic Publishers , Boston, USA, (2000).
  • Doyle, J.R., Green, R., “Efficiency and cross- efficiency in data envelopment analysis: derivatives, meanings and uses”, Journal of Operational Research Society, 45(5): 567-578 (1994).
  • Jahanshahloo, G.R., Memariani, A., Hosseinzadeh, F., Shoja, N., “A feasible interval for weights in data envelopment analysis”, Applied Mathematics and Computation, 160:155–168 (2005).
  • Li, X.B., Reeves, G.R., “A multiple criteria
  • approach to data envelopment analysis”, European Journal of Operational Research, 115: 507-517 (1999).
  • Liang, L., Wu, J., Cook, W.D., Zhu, J., “Alternative secondary goals in DEA cross efficiency evaluation”, International Journal of Production Economics, 113: 1025-1030 (2008).
  • Meza, L.A., Lins, M.P.E., “Review of methods for increasing discrimination in data envelopment analysis”, Annals of Operations Research, 116: 225–242 (2002).
  • Sexton, T.R., Silkman, R.H., Hogan, A.J., “Data Envelopment Analysis: critique and extension. In: Silkman R.H. (Ed.), Measuring efficiency: an assesment of Data Envelopment Analysis”, vol 32. Jossey-Bass, San Fransisco, 73-105 (1986).
  • Wong, Y.H.B., Beasley, J.E., “Restricting weight flexibility in data envelopment analysis”. Journal of the Operational Research Society, 41(9): 829–835 (1990).
  • Thanassoulis, E., “Introduction to the Theory and Applications of Data Envelopment Analysis: A Foundation Text with Integrated Software”, Kluwer Academic Publishers, Boston, USA, 2001.
  • http://www.dpt.gov.tr/bgyu/bgyu.html. (December, 2010)

Year 2012, Volume: 25 Issue: 1, 107 - 117, 24.01.2012

H.hasan Örkcü Hasan Bal

Abstract

References

  • Adler,N., Friedman, L., Sinuany-Stern, Z., “Review of ranking methods in the data envelopment analysis context”, European Journal of Operational Research, 140: 249–265(2002).
  • Andersen, P., Petersen, N., “A procedure for ranking efficient units in data envelopment analysis”, Management Science, 39(10): 1261–1264(1993.
  • Anderson, T.R., Hollingsworth, K.B., Inman, L.B., “The fixed weighting nature of a cross evaluation model”, Journal of Productivity Analysis, 18(1): 249–255(2002).
  • Bal, H., Örkcü, H.H., “A goal programming approach to weight dispersion problem in data envelopment analysis”, G.U. Journal of Science, 20(4): 117–125 (2007).
  • Bal, H., Örkcü, H.H., Çelebioglu, S., “A new method based on dispersion of weights in data envelopment analysis”, Computers & Industrial Engineering 54(3): 502–512 (2008).
  • Bal, H., Örkcü, H.H., Çelebioglu, S., “Improving the discrimination power and weights dispersion in the data envelopment analysis”, Computers & Operations Research, 37(1): 99–107 (2010).
  • Charnes, A., Cooper, W.W., Rhodes, E., “Measuring the efficiency of decision making units”, European Journal of Operational Research, 2: 429-444 (1978).
  • Cooper, W.W., Ruiz, J.L., Sirvent, I., “Choosing weights from alternative optimal solutions of dual multiplier dual models in DEA”, European Journal of Operational Research, 180: 443-458 (2007).
  • Cooper,W.W., Ruiz, J.L., Sirvent, I., “Selecting non zero weights to evaluate effectiveness of basketball players with DEA”, European Journal of Operational Research 195: 563-574 (2009).
  • Cooper, W.W., Seiford, L.M., Tone, K., “Data Envelopment Analysis”, Kluwer Academic Publishers , Boston, USA, (2000).
  • Doyle, J.R., Green, R., “Efficiency and cross- efficiency in data envelopment analysis: derivatives, meanings and uses”, Journal of Operational Research Society, 45(5): 567-578 (1994).
  • Jahanshahloo, G.R., Memariani, A., Hosseinzadeh, F., Shoja, N., “A feasible interval for weights in data envelopment analysis”, Applied Mathematics and Computation, 160:155–168 (2005).
  • Li, X.B., Reeves, G.R., “A multiple criteria
  • approach to data envelopment analysis”, European Journal of Operational Research, 115: 507-517 (1999).
  • Liang, L., Wu, J., Cook, W.D., Zhu, J., “Alternative secondary goals in DEA cross efficiency evaluation”, International Journal of Production Economics, 113: 1025-1030 (2008).
  • Meza, L.A., Lins, M.P.E., “Review of methods for increasing discrimination in data envelopment analysis”, Annals of Operations Research, 116: 225–242 (2002).
  • Sexton, T.R., Silkman, R.H., Hogan, A.J., “Data Envelopment Analysis: critique and extension. In: Silkman R.H. (Ed.), Measuring efficiency: an assesment of Data Envelopment Analysis”, vol 32. Jossey-Bass, San Fransisco, 73-105 (1986).
  • Wong, Y.H.B., Beasley, J.E., “Restricting weight flexibility in data envelopment analysis”. Journal of the Operational Research Society, 41(9): 829–835 (1990).
  • Thanassoulis, E., “Introduction to the Theory and Applications of Data Envelopment Analysis: A Foundation Text with Integrated Software”, Kluwer Academic Publishers, Boston, USA, 2001.
  • http://www.dpt.gov.tr/bgyu/bgyu.html. (December, 2010)
There are 20 citations in total.

Details

Primary Language English
Journal Section Statistics
Authors

H.hasan Örkcü

Hasan Bal This is me

Publication Date January 24, 2012
Published in Issue Year 2012 Volume: 25 Issue: 1

Cite

APA Örkcü, H., & Bal, H. (2012). A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities. Gazi University Journal of Science, 25(1), 107-117.
AMA Örkcü H, Bal H. A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities. Gazi University Journal of Science. January 2012;25(1):107-117.
Chicago Örkcü, H.hasan, and Hasan Bal. “A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities”. Gazi University Journal of Science 25, no. 1 (January 2012): 107-17.
EndNote Örkcü H, Bal H (January 1, 2012) A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities. Gazi University Journal of Science 25 1 107–117.
IEEE H. Örkcü and H. Bal, “A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities”, Gazi University Journal of Science, vol. 25, no. 1, pp. 107–117, 2012.
ISNAD Örkcü, H.hasan - Bal, Hasan. “A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities”. Gazi University Journal of Science 25/1 (January 2012), 107-117.
JAMA Örkcü H, Bal H. A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities. Gazi University Journal of Science. 2012;25:107–117.
MLA Örkcü, H.hasan and Hasan Bal. “A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities”. Gazi University Journal of Science, vol. 25, no. 1, 2012, pp. 107-1.
Vancouver Örkcü H, Bal H. A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities. Gazi University Journal of Science. 2012;25(1):107-1.