Constructions of economic functions and calculations of marginal rates in DEA using parametric optimization methods

Journal of the Operational Research Society

Volumn 55, Issue 10, 2004, Pages 1049-1058

  Krivonozhko, V E ^a   Utkin, O B ^b   Volodin, A V ^c   Sablin, I A ^c   Patrin, M ^a  

^a INSTITUTE FOR SYSTEMS ANALYSIS   (Russian Federation)

^b Corp GRUPPA ^*  (Russian Federation)

^c Global S Consulting Company   (Russian Federation)

Author keywords

DEA; Parametric optimization algorithms

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER PROGRAMMING; ECONOMICS; MATHEMATICAL MODELS; OPERATIONS RESEARCH; OPTIMIZATION; PARAMETER ESTIMATION; PARETO PRINCIPLE; PRODUCTION ENGINEERING; PRODUCTIVITY; SET THEORY;

DATA ENVELOPMENT ANALYSIS (DEA); MATHEMATICAL ECONOMICS; PARAMETRIC OPTIMIZATION ALGORITHMS; PARAMETRIC PROGRAMMING;

DATA REDUCTION;

EID: 5444248013     PISSN: 01605682     EISSN: None     Source Type: Journal    
DOI: 10.1057/palgrave.jors.2601759     Document Type: Conference Paper

References (17)

1. Banker RD, Charnes A and Cooper WW (1984). Some models for estimating technical and scale efficiency in data envelopment analysis. Mngt Sci 30: 1078-1092.
2. Cooper WW, Seiford LM and Tone K (2000). Data Envelopment Analysis. Kluwer Academic Publishers: Boston.
3. Thompson RG et al. (1997). DEA/AR profit ratios and sensitivity of 100 large U.S. banks. Eur J Opl Res 98: 213-229.
4. Pitaktong U, Brockett PL; Mote JR and Rousseau JJ (1998). Identification of Pareto-efficient facets in Data Envelopment Analysis. Eur J Opl Res 109: 559-570.
5. Farrel MJ (1957). The measurement of productive efficiency. J Roy Stat Soc A 120: 253-281.
6. Hackman ST, Passy U and Platzman LK (1994). Explicit representation of the two-dimensional section of a production possibility set. J Prod Anal 5: 161-170.
7. Varian HR (1996). Intermediate Microeconomics, a Modern Approach, 4th edn. W.W. Norton: New York.
8. Charnes A, Cooper WW and Rhodes E (1978). Measuring the efficiency of decision making units. Eur J Opl Res 2: 429-444.
9. Charnes A et al. (1985). Foundations of data envelopment analysis for Pareto-Koopmans efficient productions functions. J Econom 30: 91-107.
10. Banker RD and Maindiratta A (1986). Piecewise loglinear estimation of efficient production surfaces. Mngmt Sci 32(1): 126-135.
11. Krivonozhko VE, Utkin OB, Senjkov RV and Antonov AV (2000). Parametric optimization algorithms to efficiency analysis of the complex systems. In: Deville M and Owens R (eds). CD Proceedings of the 16th IMACS WORLD CONGRESS, Lausanne. IMACS, Department of Computer Science, Rutgers University, New Brunswick, USA, pp 1-10.
12. Krivonozhko VE, Utkin OB and Senjkov RV (2000). Some new constructions in DEA approach and efficiency analysis of Russian banks. In: Avkiran NK (ed) Proceedings of the International DEA Symposium, Brisbane. University of Queens-land, Ipswich Campus, Queensland, pp 24-35.
13. Shepard RW (1970). Theory of Cost and Production Functions. Princeton University Press: New Jersey.
14. Krivonozhko VE, Utkin OB, Volodin AV and Sablin IA (2002). About structure of boundary points in DEA. In: Emrouznejad A, Green R and Krivonozhko VE (eds). Proceedings of the International DEA Symposium 2002, Moscow. International Research Institute of Management Sciences, Moscow, pp 18-25.
15. Seiford LM and Thrall RM (1990). Recent developments in DEA, the mathematical programming approach to frontier analysis. J Econom 46: 7-38.
16. Banker RD (1992). Estimation of returns to scale using data envelopment analysis. Eur J Oper Res 62: 74-84.
17. Rockafellar RT (1970). Convex Analysis. Princeton University Press: New Jersey.