Ranking units and determining dominance relations in the cost efficiency analysis
RAIRO - Operations Research - Recherche Opérationnelle, Tome 49 (2015) no. 5, pp. 879-896.

The objective of this paper is to develop new models to compare cost efficiency of decision making units (DMUs) in all feasible input/output weights. Our focus is to determine cost ranking intervals and cost dominance relations in which the former show the best and the worst cost ranking of a special DMU in comparison with the other ones, and the latter specify the DMUs whose cost efficiencies are dominated by one special DMU. Finally, some new results on relevance of computed cost ranking intervals and cost dominance relations are presented.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2015034
Classification : 90c11, 90c05, 90c90
Mots clés : Data envelopment analysis (DEA), cost efficiency, ranking, dominance relation
Azizi, Roza 1 ; Matin, Reza Kazemi 1 ; Saen, Reza Farzipoor 2

1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
2 Department of Management, Karaj Branch, Islamic Azad University, Karaj, Iran
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     title = {Ranking units and determining dominance relations in the cost efficiency analysis},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {879--896},
     publisher = {EDP-Sciences},
     volume = {49},
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Azizi, Roza; Matin, Reza Kazemi; Saen, Reza Farzipoor. Ranking units and determining dominance relations in the cost efficiency analysis. RAIRO - Operations Research - Recherche Opérationnelle, Tome 49 (2015) no. 5, pp. 879-896. doi : 10.1051/ro/2015034. http://www.numdam.org/articles/10.1051/ro/2015034/

P. Andersen and N.C. Petersen, A procedure for ranking efficient units in data envelopment analysis. Manage. Sci. 39 (1993) 1261–1264. | DOI | Zbl

A.S. Camahno and R.G. Dyson, Cost efficiency measurement with price uncertainty: a DEA application to bank branch assessments. Eur. J. Oper Res. 161 (2005) 432–446. | DOI | Zbl

R.G. Chambers, R. Fre, E. Jaenicke and E. Lichtenberg, Using dominance in forming bounds on DEA models: The case of experimental agricultural data. J. Econ. 85 (1998) 189–203. | DOI | MR | Zbl

A. Charnes, W.W. Cooper and E. Rhodes, Measuring the efficiency of the decision making units. Eur. J. Oper Res. 2 (1978) 429–444. | DOI | MR | Zbl

A. Charnes, W.W. Cooper, Q.L. Wei and Z.M. Huang, Cone Ratio Data Envelopment Analysis and Multi-objective Programming. Int. J. Syst. Sci. 20 (1989) 1099–1118. | DOI | MR | Zbl

W.W. Cooper, L. M. Seiford and K. Tone, Data Envelopment Analysis, A Comprehensive Text with Models, Applications, References and DEA-Solver Software, 2th edition. Kluwer Academic Publishers, Boston (2007). | Zbl

M.J. Farrell, The measurement of productive efficiency. J. R. Stat. Soc. Series A 120 (1957) 253–281. | DOI

R. Färe and S. Grosskopf, Profit efficiency, Farrell decompositions and the Mahler inequality. Econ. Lett. 57 (1997) 283–287. | DOI | Zbl

R. Färe, S. Grosskopf and C.A.K. Lovell, Measurement of Efficiency of Production. Kluwer-Nijhoff Publishing Co., Inc, Boston (1985).

R. Färe, S. Grosskopf and C.A.K. Lovell, Production Frontiers. Cambridge University Press, Cambridge (1994).

K.F. Lam and F. Bai, Minimizing deviations of input and output weights from their means in data envelopment analysis. Comput. Ind. Eng. 60 (2011) 527–533. | DOI

J.D. Lamb and K.H. Tee, Data envelopment analysis models of investment funds. Eur. J. Oper. Res. 216 (2012) 687–696. | DOI | MR | Zbl

H.Sh. Lee, Ch.W. Chu and J. Zhu, Super-efficiency DEA in the presence of infeasibility. Eur. J. Oper. Res. 212 (2011) 141-147. | DOI | MR | Zbl

S. Lozano and E. Gutirrez, Data envelopment analysis of mutual funds based on second-order stochastic dominance. Eur. J. Oper. Res. 189 (2007) 230–244. | DOI | MR | Zbl

C.S. Ray and H.G. Kim, Cost efficiency in the US steel industry: A nonparametric analysis using data envelopment analysis. Eur. J. Oper. Res. 80 (1995) 654–671. | DOI | Zbl

W. Rodder and E. Reucher, A consensual peer-based DEA-model with optimized cross-efficiencies Input allocation instead of radial reduction. Eur. J. Oper. Res. 212 (2011) 148–154. | DOI | Zbl

A. Salo and A. Punkka, Ranking intervals and dominance relations for ratio-based efficiency analysis. Manage. Sci. 57 (2011) 200–214. | DOI | Zbl

C.S. Sarrico and R.G. Dyson, Restricting virtual weights in data envelopment analysis. Eur. J. Oper. Res. 159 (2004) 17–34. | DOI | MR | Zbl

T.R. Sexton, R.H. Silkman and A.J. Hogan, Data Envelopment Analysis: Critique and Extensions. In Measuring Efficiency: An Assessment of Data Envelopment Analysis, edited by R.H. Silkman. Jossey-Bass, San Francisco, CA (1986).

R.G. Thompson, Jr.F.D Singleton, R.M. Thrall and B.A. Smith, Comparative site evaluations for locating a high-energy physics lab in Texas. Interfaces 16 (1986) 35–49. | DOI

K. Tone, A strange case of the cost and allocative efficiencies in DEA. J. Oper. Res. Soc. 53 (2002) 1225–1231. | DOI | Zbl

K. Tone, B.K. Sahoo, Evaluating cost efficiency and returns to scale in the Life Insurance Corporation of India using data envelopment analysis. Soc. Econ. Plan. Sci. 39 (2005), 261-285. | DOI

Y.M. Wang, Y. Luo and L. Liang, Ranking decision making units by imposing a minimum weight restriction in the data envelopment analysis. J. Comput. Appl. Math. 223 (2009) 469–484. | DOI | MR | Zbl

B. Xu and J. Ouenniche, A data envelopment analysis-based framework for the relative performance evaluation of competing crude oil prices volatility forecasting models. Energ. Econ. 34 (2012) 576–583. | DOI

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