BibTex RIS Kaynak Göster

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

Yıl 2012, Cilt: 25 Sayı: 1, 107 - 117, 24.01.2012

Öz

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.

 

Kaynakça

  • 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)
Yıl 2012, Cilt: 25 Sayı: 1, 107 - 117, 24.01.2012

Öz

Kaynakça

  • 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)
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Statistics
Yazarlar

H.hasan Örkcü

Hasan Bal Bu kişi benim

Yayımlanma Tarihi 24 Ocak 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 25 Sayı: 1

Kaynak Göster

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. Ocak 2012;25(1):107-117.
Chicago Örkcü, H.hasan, ve Hasan Bal. “A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities”. Gazi University Journal of Science 25, sy. 1 (Ocak 2012): 107-17.
EndNote Örkcü H, Bal H (01 Ocak 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 ve H. Bal, “A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities”, Gazi University Journal of Science, c. 25, sy. 1, ss. 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 (Ocak 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 ve Hasan Bal. “A New Approach To Cross Efficiency In Data Envelopment Analysis and Performance Evaluation of Turkey Cities”. Gazi University Journal of Science, c. 25, sy. 1, 2012, ss. 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.