Gangless cross-evaluation in DEA: an application to stock selection
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 645-655.

This paper discusses the impact of ganging decision making units (DMUs) on the cross-efficiency evaluation in data envelopment analysis (DEA). A group of DMUs are said to be ganging-together if the minimum and the maximum cross-efficiency scores they give to all other DMUs are identical. This study demonstrates that the ganging phenomenon can significantly influence the cross-efficiency evaluation in favour of some DMUs. To overcome this shortcoming, we propose a gangless cross-efficiency evaluation approach. The suggested method reduces the effect of ganging and generates a more diversified list of top performing units. An application to the Tehran stock market is used to show the benefits of gangless cross-evaluation.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018060
Classification : 90B30, 90B50, 90C05, 90C90
Mots-clés : Data envelopment analysis, cross-efficiency evaluation, ganging decision making units, gangless cross-evaluation, stock selection
Amin, Gholam R. 1 ; Oukil, Amar 1

1
@article{RO_2019__53_2_645_0,
     author = {Amin, Gholam R. and Oukil, Amar},
     title = {Gangless cross-evaluation in {DEA:} an application to stock selection},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {645--655},
     publisher = {EDP-Sciences},
     volume = {53},
     number = {2},
     year = {2019},
     doi = {10.1051/ro/2018060},
     mrnumber = {3961737},
     zbl = {1423.90075},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/ro/2018060/}
}
TY  - JOUR
AU  - Amin, Gholam R.
AU  - Oukil, Amar
TI  - Gangless cross-evaluation in DEA: an application to stock selection
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2019
SP  - 645
EP  - 655
VL  - 53
IS  - 2
PB  - EDP-Sciences
UR  - http://archive.numdam.org/articles/10.1051/ro/2018060/
DO  - 10.1051/ro/2018060
LA  - en
ID  - RO_2019__53_2_645_0
ER  - 
%0 Journal Article
%A Amin, Gholam R.
%A Oukil, Amar
%T Gangless cross-evaluation in DEA: an application to stock selection
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2019
%P 645-655
%V 53
%N 2
%I EDP-Sciences
%U http://archive.numdam.org/articles/10.1051/ro/2018060/
%R 10.1051/ro/2018060
%G en
%F RO_2019__53_2_645_0
Amin, Gholam R.; Oukil, Amar. Gangless cross-evaluation in DEA: an application to stock selection. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 645-655. doi : 10.1051/ro/2018060. http://archive.numdam.org/articles/10.1051/ro/2018060/

[1] J. Alcaraz, N. Ramón, J.L. Ruiz and I. Sirvent, Ranking ranges in cross-efficiency evaluations. Eur. J. Oper. Res. 226 (2013) 516–521. | MR | Zbl

[2] G.R. Amin, A. Emrouznejad and S. Rezaei, Some clarifications on the DEA clustering approach. Eur. J. Oper. Res. 215 (2011) 498–501. | MR

[3] M. Asmild, J.C. Paradi and J.T. Pastor, DEA based models for reallocations of police personnel. OR Spect. 34 (2012) 921–941. | MR | Zbl

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

[5] M. Dotoli, N. Epicoco, M. Falagario and F. Sciancalepore, A stochastic cross-efficiency data envelopment analysis approach for supplier selection under uncertainty. Int. Trans. Oper. Res. 23 (2016) 725–748. | MR | Zbl

[6] J. Doyle and R. Green, Efficiency and cross-efficiency in DEA: derivations, meanings and uses. J. Oper. Res. Soc. 45 (1994) 567–578. | Zbl

[7] J. Du, W.D. Cook, L. Liang and J. Zhu, Fixed cost and resource allocation based on DEA cross-efficiency. Eur. J. Oper. Res. 235 (2014) 206–214. | MR | Zbl

[8] A. Emrouznejad, Advances in data envelopment analysis. Ann. Oper. Res. 214 (2014) 1–4. | MR | Zbl

[9] R. Green and J. Doyle, Improving discernment in DEA using profiling: a comment. Omega 24 (1996) 365–366.

[10] B.H. Jeong and C.S. Ok, A new ranking approach with a modified cross efficiency matrix. Asia-Pac. J. Oper. Res. 30 (2013) 1–17. | MR | Zbl

[11] S. Lim, K.W. Oh and J. Zhu, Use of DEA cross-efficiency evaluation in portfolio selection: an application to Korean stock market. Eur. J. Oper. Res. 236 (2014) 361–368. | MR | Zbl

[12] J.S. Liu, L.Y. Lu and W.M. Lu, Research fronts in data envelopment analysis. Omega 58 (2016) 33–45.

[13] M. Mahdiloo, R.F. Saen and K.H. Lee, Technical, environmental and eco-efficiency measurement for supplier selection: an extension and application of data envelopment analysis. Int. J. Prod. Econ. 168 (2015) 279–289.

[14] Z. Mashayekhi and H. Omrani, An integrated multi-objective Markowitz-DEA cross-efficiency method with fuzzy returns for portfolio selection problem. Appl. Soft Comput. 38 (2016) 1–9.

[15] M. Oral, G.R. Amin and A. Oukil, Cross-efficiency in DEA: a maximum resonated appreciative model. Measurement 63 (2015) 159–167.

[16] M. Oral, O. Kettani and P. Lang, A methodology for collective evaluation and selection of industrial R&D projects. Manage. Sci. 37 (1991) 871–885. | Zbl

[17] M. Oral, A. Oukil, J.-L. Malouin and O. Kettani, The appreciative democratic voice of DEA: a case of faculty academic performance evaluation. Socio-Econ. Planning Sci. 48 (2014) 20–28.

[18] A. Oukil, Ranking via composite weighting schemes under a DEA cross-evaluation framework. Comput. Ind. Eng. 117 (2018) 217–224.

[19] A. Oukil and G.R. Amin, Maximum appreciative cross-efficiency in DEA: a new ranking method. Comput. Ind. Eng. 81 (2015) 14–21.

[20] A. Oukil and S.M. Govindaluri, A systematic approach for ranking football players within an integrated DEA-OWA framework. Manage. Decis. Econ. 38 (2017) 1125–1136.

[21] R.W. Po, Y.Y. Guh and M.S. Yang, A new clustering approach using data envelopment analysis. Eur. J. Oper. Res. 199 (2009) 276–284. | Zbl

[22] N. Ramón, J.L. Ruiz and I. Sirvent, Dominance relations and ranking of units by using interval number ordering with cross-efficiency intervals. J. Oper. Res. Soc. 65 (2014) 1336–1343.

[23] K.Y. Shen and G.H. Tzeng, Combined soft computing model for value stock selection based on fundamental analysis. Appl. Soft Comput. 37 (2015) 142–155.

[24] M. Soltanifar and S. Shahghobadi, Selecting a benevolent secondary goal model in data envelopment analysis cross-evaluation by a voting model. Socio-Econ. Planning Sci. 47 (2013) 65–74.

[25] C. Tofallis, Improving discernment in DEA using profiling. Omega 24 (1996) 361–364.

[26] Y.M. Wang, Y. Luo and Y.S. Xu, Cross-weight evaluation for pairwise comparison matrices. Group Decis. Negotiat. 22 (2013) 483–497.

[27] S. Washio and S. Yamada, Evaluation method based on ranking in data envelopment analysis. Expert Syst. Appl. 40 (2013) 257–262.

Cité par Sources :