Performance measurement in data envelopment analysis without slacks: an application to electricity distribution companies
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1069-1085.

In performance measurement of the firms using tools such as data envelopment analysis (DEA) models, weak efficient units are almost appeared as reference points in the models. To avoid zero weights or equivalently non-zero slacks in DEA assessment, weights restrictions are used frequently. In DEA literature, two-stage procedures are developed to deal with non-zero slacks based on restricting input/output weights in multiplier formulating the CCR DEA model. In this paper, a single-stage approach for efficiency evaluation is developed to ensure zero slacks in target setting and avoid weights dissimilarity. A real case on electricity distribution companies in Iran has been given to demonstrate the applicability of the proposed approach.

DOI : 10.1051/ro/2018008
Classification : 90B30
Mots-clés : Data envelopment analysis, efficiency, input/output weights
Pourhabib, Azam 1 ; Kordrostami, Sohrab 1 ; Amirteimoori, Alireza 1 ; Matin, Reza Kazemi 1

1 
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     title = {Performance measurement in data envelopment analysis without slacks: an application to electricity distribution companies},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1069--1085},
     publisher = {EDP-Sciences},
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Pourhabib, Azam; Kordrostami, Sohrab; Amirteimoori, Alireza; Matin, Reza Kazemi. Performance measurement in data envelopment analysis without slacks: an application to electricity distribution companies. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1069-1085. doi : 10.1051/ro/2018008. http://www.numdam.org/articles/10.1051/ro/2018008/

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

[2] A. Çelen, Efficiency and productivity (TFP) of the Turkish electricity distribution companies: an application of two-stage (DEA&Tobit) analysis. Energy Policy 63 (2013) 300–310 | DOI

[3] A. Charnes and W.W. Cooper, Programming with linear fractional functionals. Nav. Res. Logist. Q. 9 (1962) 181–196 | DOI | MR | Zbl

[4] A. Charnes, W.W. Cooper and E. Rhodes, Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–44 | DOI | MR | Zbl

[5] A. Charnes, W.W. Cooper and R.M. Thrall, A structure for classifying and characterizing efficiency and inefficiency in DEA. J. Prod. Anal. 2 (1991) 197–237 | DOI

[6] A. Charnes, W.W. Cooper, A. Lewin and L.M. Seiford, Data Envelopment Analysis: Theory, Methodology and Applications. Kluwer Academic Publishers, Boston (1994) | Zbl

[7] T. J. Coelli, A. Gautier, S. Perelman and R. Saplacan-Pop, Estimating the cost of improving quality in electricity distribution: a parametric distance function approach. Energy Policy 53 (2013) 287–297 | DOI

[8] W.W. Cooper, N. Ramon, J. Ruiz and I. Sirvant, Avoiding Large Differences in Weights in Cross-Efficiency Evaluations: application to the Ranking of Basketball Players. J. Cent. Cathedra 4 (2011) 197–215 | DOI

[9] W.W. Cooper, J. L. Ruiz and I. Sirvent, Choosing weights from alternative optimal solutions of dual multiplier models in DEA. Eur. J. Oper. Res. 180 (2007) 443–458 | DOI | Zbl

[10] W.W. Cooper, L.M. Seiford and K. Tone, Introduction to Data Envelopment Analysis and its Uses. Springer Publisher (2006)

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

[12] A. Emrouznejad, G. Tavares and B. Parker, Evaluation of research in efficiency and productivity: a survey and analysis of the first 30 years of scholarly literature in DEA. Soc. Econ. Plan. Sci. 42 (2008) 151–157 | DOI

[13] M.C. Gouveia, L.C. Dias, C.H. Antunes, J. Boucinha and C.F. Inàcio, Benchmarking of maintenance and outage repair in an electricity distribution company using the value-based DEA method. OMEGA 53 (2014) 104–114 | DOI

[14] 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

[15] L. Liang,J. Wu, W.D. Cook and J. Zhu, Alternative secondary goals in DEA cross-efficiency evaluation. Int. J. Prod. Econ. 113 (2008) 1025–30 | DOI

[16] C.A.K. Lovell and J.T. Pastor, Units invariant and translation invariant DEA models. Oper. Res. Lett. 18 (1995) 147–151 | DOI | MR | Zbl

[17] S. Mullarkey, B. Caulfied, S. Mc Cormack and B. Basu, A framework for establishing the technical efficiency of electricity distribution counties(EDCs) using Data Envelopment Analysis. Energy Convers. Manag. 94 (2015) 112–123 | DOI

[18] H. Omrani, R. Gharizadeh Beiragh and S. Shafiei Kaleibari Performance assessment of Iranian electricity distribution companies by an integrated cooperative game data envelopment analysis principal component analysis approach. Int. J. Electr. Power Energy Syst. 64 (2015) 617–625 | DOI

[19] N. Ramon, J.L. Ruiz and I. Sirvant, A multiplier bound approach to assess relative efficiency in DEA without slacks. Eur. J. Oper. Res. 203 (2010) 261–269 | DOI | Zbl

[20] T.R. Sexton, R.H. Silkman and A.J. Hogan, Data Envelopment Analysis: Critique and Extensions. Jossey-Bass, San Francisco, CA (1986) 73–105

[21] M. Simab and M.R. Haghifam, Quality performance based regulation through designing reward and penalty scheme for electric distribution companies, Int. J. Electr. Power Energy Syst. 43 (2012) 539–545 | DOI

[22] M. Tavassoli, G.R. Faramarzi and R. Farzipoor Saen Ranking electricity distribution units using slacks-based measure, strong complementary slackness condition, and discriminant analysis. Int. J. Electr. Power Energy Syst. 64 (2015) 1214–1220 | DOI

[23] R.M. Thrall, Duality, classification and slacks in DEA. Ann. Oper. Res. 66 (1996) 109–138 | DOI | MR | Zbl

[24] J. Wu, L. Liang and Y. Chen, DEA game cross-efficiency approach to Olympic rankings. Omega 37 (2009) 909–918 | DOI

[25] S. Yuzhi and Zhangna, Study of the Input-Output Overall Performance Evaluation of Electricity Distribution Based on DEA Method. Energy Procedia 16 (2012) 1517–1525. | DOI

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