Finding target units in FDH model by least-distance measure model
Kybernetika, Tome 49 (2013) no. 4, pp. 619-635 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Recently, some authors used the Least-Distance Measure model in order to obtain the shortest distance between the evaluated Decision Making Unit (DMU) and the strongly efficient production frontier. But, their model is not applicable for situation in which the production possibility set satisfies free disposability property. In this paper, we propose a new approach to this end in FDH model which improves the application potential of the Least-Distance Measure and overcomes the mentioned shortcoming. The applicability of the proposed method is illustrated with two numerical examples and proves to be persuasive and acceptable to real-world problem.
Recently, some authors used the Least-Distance Measure model in order to obtain the shortest distance between the evaluated Decision Making Unit (DMU) and the strongly efficient production frontier. But, their model is not applicable for situation in which the production possibility set satisfies free disposability property. In this paper, we propose a new approach to this end in FDH model which improves the application potential of the Least-Distance Measure and overcomes the mentioned shortcoming. The applicability of the proposed method is illustrated with two numerical examples and proves to be persuasive and acceptable to real-world problem.
Classification : 90Bxx, 90C05
Keywords: data envelopment analysis; least distance; FDH; target unit
@article{KYB_2013_49_4_a7,
     author = {Ebrahimnejad, Ali and Shahverdi, Reza and Rezaee Balf, Farzad and Hatefi, Maryam},
     title = {Finding target units in {FDH} model by least-distance measure model},
     journal = {Kybernetika},
     pages = {619--635},
     year = {2013},
     volume = {49},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2013_49_4_a7/}
}
TY  - JOUR
AU  - Ebrahimnejad, Ali
AU  - Shahverdi, Reza
AU  - Rezaee Balf, Farzad
AU  - Hatefi, Maryam
TI  - Finding target units in FDH model by least-distance measure model
JO  - Kybernetika
PY  - 2013
SP  - 619
EP  - 635
VL  - 49
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KYB_2013_49_4_a7/
LA  - en
ID  - KYB_2013_49_4_a7
ER  - 
%0 Journal Article
%A Ebrahimnejad, Ali
%A Shahverdi, Reza
%A Rezaee Balf, Farzad
%A Hatefi, Maryam
%T Finding target units in FDH model by least-distance measure model
%J Kybernetika
%D 2013
%P 619-635
%V 49
%N 4
%U http://geodesic.mathdoc.fr/item/KYB_2013_49_4_a7/
%G en
%F KYB_2013_49_4_a7
Ebrahimnejad, Ali; Shahverdi, Reza; Rezaee Balf, Farzad; Hatefi, Maryam. Finding target units in FDH model by least-distance measure model. Kybernetika, Tome 49 (2013) no. 4, pp. 619-635. http://geodesic.mathdoc.fr/item/KYB_2013_49_4_a7/

[1] Baek, C., Lee, J.: The relevance of DEA benchmarking information and the least-distance measure. Math. Comput. Modelling 49 (2009), 265-275. | DOI | MR | Zbl

[2] Bogetoft, P., Hougaard, J. L.: Efficiency evaluations based on potential (non-proportional) improvements. J. Productivity Anal. 12 (1998), 233-249. | DOI

[3] Bogetoft, P., Nielsen, K.: Internet based benchmarking. Group Decision and Negotiation 14 (2005), 195-215. | DOI

[4] Charnes, A., Cooper, W., Rhodes, E.: Measuring the efficiency of decision making units. European J. Oper. Res. 2 (1978), 429-444. | DOI | MR | Zbl

[5] Cherchye, L., Puyenbroeck, T. V.: A comment on multi-stage DEA methodology. Oper. Res. Lett. 28 (2001), 93-98. | DOI | MR | Zbl

[6] Coelli, T.: A multi-stage methodology and for the solution of oriented DEA models. Oper. Res. Lett. 23 (1998), 143-149. | DOI | MR

[7] Cooper, W. W., Park, K. S., Pastor, J. T., RAM: A range adjusted measure of inefficiency for use with additive models and relations to other models and measures in DEA. J. Productivity Anal. 11 (1999), 5-42.

[8] Deprins, D., Simar, L., Tulkens, H.: Measuring labor inefficiency in post offices. In: The Performance of Public Enterprises: Concepts and Measurements (M. Marchand, P. Pestieau, and H. Tulkens, eds.), North-Holland, Amsterdam 1984.

[9] Lins, M. P. Estellita, Angulo-Meza, L., Silva, A. C. Moreira da: A multi-objective approach to determine alternative targets in data envelopment analysis. J. Oper. Res. Soc. 55 (2004), 1090-1101. | DOI

[10] Ebrahimnejad, A., Lotfi, F. Hosseinzadeh: Equivalence relationship between the general combined-oriented CCR model and the weighted minimax MOLP formulation. J. King Saud Univ. Sci. 24 (2012), 47-54. | DOI

[11] Frei, F. X., Harker, P. T.: Projections onto efficient frontier: Theoretical and computational extension to DEA. J. Productivity Anal. 11 (1999), 275-300. | DOI

[12] Golany, B.: An interactive MOLP procedure for the extension of DEA to effectiveness analysis. J. Oper. Res. Soc. 39 (1988), 725-734. | Zbl

[13] González, E., Álvarez, A.: From efficiency measurement to efficiency improvement: The choice of a relevant benchmark. European J. Oper. Res. 133 (2001), 512-520. | DOI | Zbl

[14] Li, X. B., Reeves, G. R.: A multiple criteria approach to data envelopment analysis. European J. Oper. Res. 115 (1999), 507-517. | DOI | Zbl

[15] Pastor, J. T., Aparicio, J.: The relevance of DEA benchmarking information and the least-distance measure: Comment. Math. Comput. Modelling 52 (2010), 397-399. | DOI | MR | Zbl

[16] Portela, M. C. A. S., Borges, P. C., Thanassoulis, E.: Finding closest targets in non-oriented DEA models: The case of convex and non-convex technology. J. Productivity Anal. 19 (2003), 251-269. | DOI

[17] Post, T., Spronk, J.: Performance benchmarking using interactive data envelopment analysis. European J. Oper. Res. 115 (1999), 472-487. | DOI | Zbl

[18] Thanassoulis, E., Dyson, R. G.: Estimating preferred target input output levels using data envelopment analysis. European J. Oper. Res. 56 (1992), 80-97. | DOI | Zbl

[19] Tone, K.: A slack-based measure of efficient in data envelopment analysis. European J. Oper. Res. 130 (2001), 498-509. | DOI | MR

[20] Yang, J. B., Wang, B. Y., Xu, D. L., Stewart, T.: Integrating DEA-oriented performance assessment and target setting using interactive MOLP methods. European J. Oper. Res. 195 (2009), 205-222. | DOI