Improved data envelopment analysis models for evaluating interval efficiencies of decision-making units

► We present two perspectives for obtaining bounds of efficiency with crisp data. ► The optimistic view uses the efficiency frontier, giving the best efficiency. ► The pessimistic view uses the inefficient frontier, giving the worst efficiency. ► The efficiency interval presents all possible evaluat...

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Vydané v:	Computers & industrial engineering Ročník 61; číslo 3; s. 897 - 901
Hlavní autori:	Azizi, Hossein, Jahed, Rasul
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Elsevier Ltd 01.10.2011 Pergamon Press Inc
Predmet:	Computational efficiency Computing time Crisps Data envelopment analysis Data envelopment analysis (DEA) Decision making Decision making units Interval DEA models Interval efficiency Intervals Mathematical models Numerical analysis Operations research Remedies Studies Data envelopment analysis (DEA) Interval DEA models Interval efficiency
ISSN:	0360-8352, 1879-0550
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Abstract	► We present two perspectives for obtaining bounds of efficiency with crisp data. ► The optimistic view uses the efficiency frontier, giving the best efficiency. ► The pessimistic view uses the inefficient frontier, giving the worst efficiency. ► The efficiency interval presents all possible evaluations from various viewpoints. ► This interval provides the decision maker with all possible values of efficiency. In a recent article, Wang et al. [Wang, N. S., Yi, R. H., & Wang, W. (2008). Evaluating the performances of decision-making units based on interval efficiencies. Journal of Computational and Applied Mathematics, 216, 328–343] proposed a pair of interval data envelopment analysis (DEA) models for measuring the overall performances of decision-making units (DMUs) with crisp data. In this paper, we demonstrate that interval DEA models face problems in determining the efficiency interval for each DMU when there are zero values for every input. To remedy this drawback, we propose a pair of improved interval DEA models which make it possible to perform a DEA analysis using the concepts of the best and the worst relative efficiencies. Two numerical examples will be examined using the improved interval DEA models. One of the examples is a real-world application about 42 educational departments in one of the branches of the Islamic Azad University in Iran that shows the advantages and applicability of the improved approach in real-life situations.
AbstractList	In a recent article, Wang et al. [Wang, N. S., Yi, R. H., & Wang, W. (2008). Evaluating the performances of decision-making units based on interval efficiencies. Journal of Computational and Applied Mathematics, 216, 328-343] proposed a pair of interval data envelopment analysis (DEA) models for measuring the overall performances of decision-making units (DMUs) with crisp data. In this paper, we demonstrate that interval DEA models face problems in determining the efficiency interval for each DMU when there are zero values for every input. To remedy this drawback, we propose a pair of improved interval DEA models which make it possible to perform a DEA analysis using the concepts of the best and the worst relative efficiencies. Two numerical examples will be examined using the improved interval DEA models. One of the examples is a real-world application about 42 educational departments in one of the branches of the Islamic Azad University in Iran that shows the advantages and applicability of the improved approach in real-life situations. [PUBLICATION ABSTRACT] ► We present two perspectives for obtaining bounds of efficiency with crisp data. ► The optimistic view uses the efficiency frontier, giving the best efficiency. ► The pessimistic view uses the inefficient frontier, giving the worst efficiency. ► The efficiency interval presents all possible evaluations from various viewpoints. ► This interval provides the decision maker with all possible values of efficiency. In a recent article, Wang et al. [Wang, N. S., Yi, R. H., & Wang, W. (2008). Evaluating the performances of decision-making units based on interval efficiencies. Journal of Computational and Applied Mathematics, 216, 328–343] proposed a pair of interval data envelopment analysis (DEA) models for measuring the overall performances of decision-making units (DMUs) with crisp data. In this paper, we demonstrate that interval DEA models face problems in determining the efficiency interval for each DMU when there are zero values for every input. To remedy this drawback, we propose a pair of improved interval DEA models which make it possible to perform a DEA analysis using the concepts of the best and the worst relative efficiencies. Two numerical examples will be examined using the improved interval DEA models. One of the examples is a real-world application about 42 educational departments in one of the branches of the Islamic Azad University in Iran that shows the advantages and applicability of the improved approach in real-life situations. In a recent article, Wang et al. [Wang, N. S., Yi, R. H., & Wang, W. (2008). Evaluating the performances of decision-making units based on interval efficiencies. Journal of Computational and Applied Mathematics, 216, 328-343] proposed a pair of interval data envelopment analysis (DEA) models for measuring the overall performances of decision-making units (DMUs) with crisp data. In this paper, we demonstrate that interval DEA models face problems in determining the efficiency interval for each DMU when there are zero values for every input. To remedy this drawback, we propose a pair of improved interval DEA models which make it possible to perform a DEA analysis using the concepts of the best and the worst relative efficiencies. Two numerical examples will be examined using the improved interval DEA models. One of the examples is a real-world application about 42 educational departments in one of the branches of the Islamic Azad University in Iran that shows the advantages and applicability of the improved approach in real-life situations.
Author	Azizi, Hossein Jahed, Rasul
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Cites_doi	10.1016/j.eswa.2009.09.029 10.1057/palgrave.jors.2602205 10.1016/j.cam.2005.12.025 10.1016/0377-2217(78)90138-8 10.1016/j.amc.2006.07.006 10.1016/j.cam.2007.05.012 10.1016/S0377-2217(01)00055-8 10.1016/j.cie.2010.07.029 10.1016/j.ejor.2007.09.040 10.1016/j.cie.2007.12.021 10.1016/j.cie.2010.12.016 10.1016/j.cie.2010.12.012 10.1016/j.cie.2010.05.013 10.1002/nav.3800090303
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References	Department of Management Sciences, City University of Hong Kong. Wang, Chin, Yang (b0075) 2007; 58 Charnes, Cooper (b0025) 1962; 9 Parkan, C., & Wang, Y. M. (2000). Charnes, Cooper, Rhodes (b0030) 1978; 2 Amirteimoori, Mohaghegh Tabar (b0010) 2010; 37 Wang, Yang (b0080) 2007; 198 Wang, Yi, Wang (b0070) 2008; 216 Kuosmanen, Kazemi Matin (b0055) 2009; 192 Amirteimoori (b0005) 2007; 186 Azizi, Fathi Ajirlu (b0015) 2010; 59 Liu, Chen (b0045) 2009; 57 Entani, Maeda, Tanaka (b0035) 2002; 136 Soltanifar, Hosseinzadeh Lotfi (b0065) 2011; 60 Foroughi (b0040) 2011; 60 Lozano, Villa, Canca (b0050) 2011; 60 Charnes (10.1016/j.cie.2011.04.017_b0025) 1962; 9 Amirteimoori (10.1016/j.cie.2011.04.017_b0005) 2007; 186 Foroughi (10.1016/j.cie.2011.04.017_b0040) 2011; 60 Lozano (10.1016/j.cie.2011.04.017_b0050) 2011; 60 Entani (10.1016/j.cie.2011.04.017_b0035) 2002; 136 Kuosmanen (10.1016/j.cie.2011.04.017_b0055) 2009; 192 Wang (10.1016/j.cie.2011.04.017_b0070) 2008; 216 Liu (10.1016/j.cie.2011.04.017_b0045) 2009; 57 Azizi (10.1016/j.cie.2011.04.017_b0015) 2010; 59 Charnes (10.1016/j.cie.2011.04.017_b0030) 1978; 2 Amirteimoori (10.1016/j.cie.2011.04.017_b0010) 2010; 37 Soltanifar (10.1016/j.cie.2011.04.017_b0065) 2011; 60 Wang (10.1016/j.cie.2011.04.017_b0080) 2007; 198 10.1016/j.cie.2011.04.017_b0060 Wang (10.1016/j.cie.2011.04.017_b0075) 2007; 58
References_xml	– volume: 58 start-page: 929 year: 2007 end-page: 937 ident: b0075 article-title: Measuring the performances of decision-making units using geometric average efficiency publication-title: Journal of the Operational Research Society – volume: 136 start-page: 32 year: 2002 end-page: 45 ident: b0035 article-title: Dual models of interval DEA and its extension to interval data publication-title: European Journal of Operational Research – volume: 57 start-page: 496 year: 2009 end-page: 505 ident: b0045 article-title: The worst-practice DEA model with slack-based measurement publication-title: Computers & Industrial Engineering – reference: Parkan, C., & Wang, Y. M. (2000). – volume: 2 start-page: 429 year: 1978 end-page: 444 ident: b0030 article-title: Measuring the efficiency of decision making units publication-title: European Journal of Operational Research – volume: 198 start-page: 253 year: 2007 end-page: 267 ident: b0080 article-title: Measuring the performances of decision-making units using interval efficiencies publication-title: Journal of Computational and Applied Mathematics – volume: 60 start-page: 585 year: 2011 end-page: 592 ident: b0065 article-title: The voting analytic hierarchy process method for discriminating among efficient decision making units in data envelopment analysis publication-title: Computers & Industrial Engineering – volume: 60 start-page: 455 year: 2011 end-page: 465 ident: b0050 article-title: Application of centralised DEA approach to capital budgeting in Spanish ports publication-title: Computers & Industrial Engineering – reference: . Department of Management Sciences, City University of Hong Kong. – volume: 216 start-page: 328 year: 2008 end-page: 343 ident: b0070 article-title: Evaluating the performances of decision-making units based on interval efficiencies publication-title: Journal of Computational and Applied Mathematics – volume: 59 start-page: 411 year: 2010 end-page: 418 ident: b0015 article-title: Measurement of overall performances of decision-making units using ideal and anti-ideal decision-making units publication-title: Computers & Industrial Engineering – volume: 192 start-page: 658 year: 2009 end-page: 667 ident: b0055 article-title: Theory of integer-valued data envelopment analysis publication-title: European Journal of Operational Research – volume: 186 start-page: 10 year: 2007 end-page: 16 ident: b0005 article-title: DEA efficiency analysis: Efficient and anti-efficient frontier publication-title: Applied Mathematics and Computation – volume: 37 start-page: 3036 year: 2010 end-page: 3039 ident: b0010 article-title: Resource allocation and target setting in data envelopment analysis publication-title: Expert Systems with Applications – volume: 9 start-page: 181 year: 1962 end-page: 185 ident: b0025 article-title: Programming with fractional function publication-title: Naval Research Logistics Quarterly – volume: 60 start-page: 550 year: 2011 end-page: 554 ident: b0040 article-title: A new mixed integer linear model for selecting the best decision making units in data envelopment analysis publication-title: Computers & Industrial Engineering – volume: 37 start-page: 3036 year: 2010 ident: 10.1016/j.cie.2011.04.017_b0010 article-title: Resource allocation and target setting in data envelopment analysis publication-title: Expert Systems with Applications doi: 10.1016/j.eswa.2009.09.029 – volume: 58 start-page: 929 year: 2007 ident: 10.1016/j.cie.2011.04.017_b0075 article-title: Measuring the performances of decision-making units using geometric average efficiency publication-title: Journal of the Operational Research Society doi: 10.1057/palgrave.jors.2602205 – volume: 198 start-page: 253 year: 2007 ident: 10.1016/j.cie.2011.04.017_b0080 article-title: Measuring the performances of decision-making units using interval efficiencies publication-title: Journal of Computational and Applied Mathematics doi: 10.1016/j.cam.2005.12.025 – volume: 2 start-page: 429 year: 1978 ident: 10.1016/j.cie.2011.04.017_b0030 article-title: Measuring the efficiency of decision making units publication-title: European Journal of Operational Research doi: 10.1016/0377-2217(78)90138-8 – volume: 186 start-page: 10 year: 2007 ident: 10.1016/j.cie.2011.04.017_b0005 article-title: DEA efficiency analysis: Efficient and anti-efficient frontier publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2006.07.006 – volume: 216 start-page: 328 year: 2008 ident: 10.1016/j.cie.2011.04.017_b0070 article-title: Evaluating the performances of decision-making units based on interval efficiencies publication-title: Journal of Computational and Applied Mathematics doi: 10.1016/j.cam.2007.05.012 – volume: 136 start-page: 32 year: 2002 ident: 10.1016/j.cie.2011.04.017_b0035 article-title: Dual models of interval DEA and its extension to interval data publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(01)00055-8 – ident: 10.1016/j.cie.2011.04.017_b0060 – volume: 60 start-page: 455 year: 2011 ident: 10.1016/j.cie.2011.04.017_b0050 article-title: Application of centralised DEA approach to capital budgeting in Spanish ports publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2010.07.029 – volume: 192 start-page: 658 year: 2009 ident: 10.1016/j.cie.2011.04.017_b0055 article-title: Theory of integer-valued data envelopment analysis publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2007.09.040 – volume: 57 start-page: 496 year: 2009 ident: 10.1016/j.cie.2011.04.017_b0045 article-title: The worst-practice DEA model with slack-based measurement publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2007.12.021 – volume: 60 start-page: 585 year: 2011 ident: 10.1016/j.cie.2011.04.017_b0065 article-title: The voting analytic hierarchy process method for discriminating among efficient decision making units in data envelopment analysis publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2010.12.016 – volume: 60 start-page: 550 year: 2011 ident: 10.1016/j.cie.2011.04.017_b0040 article-title: A new mixed integer linear model for selecting the best decision making units in data envelopment analysis publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2010.12.012 – volume: 59 start-page: 411 year: 2010 ident: 10.1016/j.cie.2011.04.017_b0015 article-title: Measurement of overall performances of decision-making units using ideal and anti-ideal decision-making units publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2010.05.013 – volume: 9 start-page: 181 year: 1962 ident: 10.1016/j.cie.2011.04.017_b0025 article-title: Programming with fractional function publication-title: Naval Research Logistics Quarterly doi: 10.1002/nav.3800090303
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SubjectTerms	Computational efficiency Computing time Crisps Data envelopment analysis Data envelopment analysis (DEA) Decision making Decision making units Interval DEA models Interval efficiency Intervals Mathematical models Numerical analysis Operations research Remedies Studies
Title	Improved data envelopment analysis models for evaluating interval efficiencies of decision-making units
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