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.
Mots-clés : Data envelopment analysis, efficiency, input/output weights
@article{RO_2018__52_4-5_1069_0, author = {Pourhabib, Azam and Kordrostami, Sohrab and Amirteimoori, Alireza and Matin, Reza Kazemi}, 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}, volume = {52}, number = {4-5}, year = {2018}, doi = {10.1051/ro/2018008}, zbl = {1411.90191}, mrnumber = {3878614}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro/2018008/} }
TY - JOUR AU - Pourhabib, Azam AU - Kordrostami, Sohrab AU - Amirteimoori, Alireza AU - Matin, Reza Kazemi TI - Performance measurement in data envelopment analysis without slacks: an application to electricity distribution companies JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 1069 EP - 1085 VL - 52 IS - 4-5 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2018008/ DO - 10.1051/ro/2018008 LA - en ID - RO_2018__52_4-5_1069_0 ER -
%0 Journal Article %A Pourhabib, Azam %A Kordrostami, Sohrab %A Amirteimoori, Alireza %A Matin, Reza Kazemi %T Performance measurement in data envelopment analysis without slacks: an application to electricity distribution companies %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 1069-1085 %V 52 %N 4-5 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2018008/ %R 10.1051/ro/2018008 %G en %F RO_2018__52_4-5_1069_0
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://archive.numdam.org/articles/10.1051/ro/2018008/
[1] A procedure for ranking efficient units in data envelopment analysis. Manag. Sci. 39 (1993) 1261–1264 | DOI | Zbl
and ,[2] 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] Programming with linear fractional functionals. Nav. Res. Logist. Q. 9 (1962) 181–196 | DOI | MR | Zbl
and ,[4] Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–44 | DOI | MR | Zbl
, and ,[5] A structure for classifying and characterizing efficiency and inefficiency in DEA. J. Prod. Anal. 2 (1991) 197–237 | DOI
, and ,[6] Data Envelopment Analysis: Theory, Methodology and Applications. Kluwer Academic Publishers, Boston (1994) | Zbl
, , and ,[7] Estimating the cost of improving quality in electricity distribution: a parametric distance function approach. Energy Policy 53 (2013) 287–297 | DOI
, , and ,[8] Avoiding Large Differences in Weights in Cross-Efficiency Evaluations: application to the Ranking of Basketball Players. J. Cent. Cathedra 4 (2011) 197–215 | DOI
, , and ,[9] Choosing weights from alternative optimal solutions of dual multiplier models in DEA. Eur. J. Oper. Res. 180 (2007) 443–458 | DOI | Zbl
, and ,[10] Introduction to Data Envelopment Analysis and its Uses. Springer Publisher (2006)
, and ,[11] Efficiency and cross-efficiency in DEA: datives, meanings and uses. J. Oper. Res. Soc. 45 (1994) 567–578 | DOI | Zbl
and ,[12] 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
, and ,[13] Benchmarking of maintenance and outage repair in an electricity distribution company using the value-based DEA method. OMEGA 53 (2014) 104–114 | DOI
, , , and ,[14] Minimizing deviations of input and output weights from their means in data envelopment analysis. Comput. Ind. Eng. 60 (2011) 527–533 | DOI
and ,[15] Alternative secondary goals in DEA cross-efficiency evaluation. Int. J. Prod. Econ. 113 (2008) 1025–30 | DOI
, , and ,[16] Units invariant and translation invariant DEA models. Oper. Res. Lett. 18 (1995) 147–151 | DOI | MR | Zbl
and ,[17] A framework for establishing the technical efficiency of electricity distribution counties(EDCs) using Data Envelopment Analysis. Energy Convers. Manag. 94 (2015) 112–123 | DOI
, , and ,[18] 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
, and[19] A multiplier bound approach to assess relative efficiency in DEA without slacks. Eur. J. Oper. Res. 203 (2010) 261–269 | DOI | Zbl
, and ,[20] Data Envelopment Analysis: Critique and Extensions. Jossey-Bass, San Francisco, CA (1986) 73–105
, and ,[21] 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
and ,[22] 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
, and[23] Duality, classification and slacks in DEA. Ann. Oper. Res. 66 (1996) 109–138 | DOI | MR | Zbl
,[24] DEA game cross-efficiency approach to Olympic rankings. Omega 37 (2009) 909–918 | DOI
, and ,[25] Study of the Input-Output Overall Performance Evaluation of Electricity Distribution Based on DEA Method. Energy Procedia 16 (2012) 1517–1525. | DOI
and Zhangna,Cité par Sources :