Abstract
This chapter introduces the basics of data envelopment analysis techniques, with a short historical introduction and examples of the constant returns to scale model (CRS) and the variable returns to scale (VRS) model. The ratio models are linearized and for both orientations primal and dual models are presented.
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References
Andersen P, Petersen NC (1993) A procedure for ranking efficient units in data envelopment analysis. Manag Sci 39(10):1261–1264
Banker RD, Charnes A, Cooper WW (1984) Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manag Sci 30(9):1078–1092
Bougnol M-L, Dulá JH, Retzlaff-Roberts D, Womer NK (2005) Nonparametric frontier analysis with multiple constituencies. J Oper Res Soc 56(3):252–266
Bougnol M-L, Dulá JH, EstellitaLins MP, Moreira da Silva AC (2010) Enhancing standard performance practices with DEA. Omega 38(1–2):33–45. doi:10.1016/j.omega.2009.02.002
Chang K-P, Guh Y-Y (1991) Linear production functions and the data envelopment analysis. Eur J Oper Res 52(2):215–223
Charnes A, Cooper WW (1962) Programming with linear fractional functionals. Nav Res Logist Q 9:181–185
Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res 2(6):429–444
Charnes A, Cooper WW, Rhodes E (1979) Short communication: measuring the efficiency of decision making units. Eur J Oper Res 3(4):339
Chen X, Chen X, Zhou H, Zhou H (2010) Coal enterprises safety investment efficiency analysis based on data envelopment. WKDD ’10 Proceedings of the 2010 third international conference on knowledge discovery and data mining. IEEE Computer Society, Washington, DC, USA, pp 175–178, ©2010, ISBN: 978-0-7695-3923-2, doi: 10.1109/WKDD.2010.73
Chiu Y-h, Huang C-w, Ma C-M (2011) Assessment of China transit and economic efficiencies in a modified value-chains DEA model. Eur J Oper Res 209(2):95–103
Debreu G (1951) The coefficient of resource utilization. Econometrica 19:273–292
Emrouznejad A, Anouze AL (2010) Data envelopment analysis with classification and regression tree-a case of banking efficiency. Expert Syst 27(4):231–246
Farrell MJ (1957) The measurement of productive efficiency. J R Stat Soc A 120:253–281
Koopmans T (1951) Analysis of production as an efficient combination of activities. In: Koopmans TC (ed) Activity analysis of production and allocation. Wiley, New York
Pestana Barros C, Dieke PUC (2007) Performance evaluation of Italian airports: a data envelopment analysis. J Air Transp Manag 13(4):184–191
Rhodes E (1978) Data envelopment analysis and related approaches for measuring the efficiency of decision-making units with an application to program follow through in U.S. education. Unpublished doctoral thesis, School of Urban and Public Affairs, Carnegie – Mellon University
Scheel H (2000) EMS: efficiency measurement system user’s manual version 1.3. http://www.microtheory.uni-jena.de/download/ems.pdf. Accessed 21 Sept 2012
Schneider M (2005) Judicial career incentives and court performance: an empirical study of the German labour courts of appeal. Eur J Law Econ 20(2):127–144
Seiford LM, Zhu J (2002) Value judgment versus allocative efficiency: a case of Tennessee county jails. J Manag Sci Reg Dev 4(July):89–98
Thanassoulis E (1993) Comparison of regression analysis and data envelopment analysis as alternative methods for performance assessments. J Oper Res Soc 44(11):1129–1144
Thanassoulis E, Dunstan P (1994) Guiding schools to improved performance using data envelopment analysis: an illustration with data from a local education authority. J Oper Res Soc 45(11):1247–1262
Wilson Asa B, Kerr Bernard J, Bastian Nathaniel D, Fulton Lawrence V (2012) Financial performance monitoring of the technical efficiency of critical access hospitals: a data envelopment analysis and logistic regression modeling approach. (Report). J Healthc Manag 57(3):200–212; discussion 212–3
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Santos, J., Negas, E.R., Santos, L.C. (2013). Introduction to Data Envelopment Analysis. In: Mendes, A., L. D. G. Soares da Silva, E., Azevedo Santos, J. (eds) Efficiency Measures in the Agricultural Sector. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5739-4_3
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DOI: https://doi.org/10.1007/978-94-007-5739-4_3
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