Scale characterizations in a DEA directional technology distance function framework

European Journal of Operational Research

Volumn 144, Issue 1, 2003, Pages 108-127

  Fukuyama, Hirofumi ^a  

^a FUKUOKA UNIVERSITY   (Japan)

Author keywords

Data envelopment analysis (DEA); Directional technology distance function; MPSS; Returns to scale; Scale efficiency indicator; Scale elasticity

Indexed keywords

DATA REDUCTION; ECONOMICS; LOGISTICS; PRODUCTIVITY;

DATA DEVELOPMENT ANALYSIS (DEA);

OPERATIONS RESEARCH;

EID: 0037209403     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(01)00389-7     Document Type: Article

References (23)

1. Banker R.D. Estimating most productive scale size using data envelopment analysis. European Journal of Operational Research. 17:1984;35-44.
2. Banker R.D., Chang H., Cooper W.W. Equivalence and implementation of alternative methods for determining returns to scale in data envelopment analysis. European Journal of Operational Research. 89:1996;473-481.
3. Banker R.D., Charnes A., Cooper W.W. Models for the estimation of technical and scale inefficiencies in data envelopment analysis. Management Science. 30:1984;1078-1092.
4. Banker, R.D., Cooper, W.W., Seiford, L., Thrall, R.M., Zhu, J., forthcoming. Returns to scale in different DEA models. European Journal of Operational Research.
5. Banker R.D., Thrall R.M. Estimation of returns to scale using data envelopment analysis. European Journal of Operational Research. 62:1992;74-84.
6. Briec W., Kerstens K., Leleu H., Vanden Eeckaut P. Returns to scale on nonparametric deterministic technologies: Simplifying goodness-of-fit methods using operations on technologies. Journal of Productivity Analysis. 14:2000;267-274.
7. Chambers R.G., Chung Y., Färe R. Benefit and distance functions. Journal of Economic Theory. 70:1996a;407-419.
8. Chambers R.G., Chung Y., Färe R. Profit, directional distance functions, and Nerlovian efficiency. Journal of Optimization Theory and Applications. 98(2):1998;351-364.
9. Chambers R.G., Färe R., Grosskopf S. Productivity growth in apec countries. Pacific Economic Review. 1(3):1996b;181-190.
10. Charnes A., Cooper W.W., Golany B., Seiford L.M., Stutz J. Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions. Journal of Econometrics. 30(1/2):1985;91-107.
11. Charnes A., Cooper W.W., Rhodes E. Measuring the efficiency of decision making units. European Journal of Operational Research. 2:1978;429-441.
12. Färe, R., 1997. Determining returns to scale in DEA. Mimeo.
13. Färe R., Grosskopf S., Lovell C.A.K. The Measurement of Efficiency of Production. 1985;Kluwer Nijhoff, Boston, MA.
14. Färe, R., Grosskopf, S., Weber, W.L., 1996. The effect of risk-based capital requirements on profit efficiency in banking. Mimeo.
15. Farrell, M.J., 1957. The measurement of productive efficiency. Journal of the Royal Statistical Society Series A, General, 120, 253-281.
16. Førsund, F., Hjalmarsson, L., 1996. Measuring returns to scale of piecewise linear multiple output technologies: Theory and empirical evidence. Mimeo, School of Economics and Commercial Law, Göteborg University.
17. Fukuyama H. Returns to scale and scale elasticity in data envelopment analysis. European Journal of Operational Research. 125(1):2000;94-113.
18. Kerstens K., Vanden Eeckaut P. Estimating returns to scale using non-parametric deterministic technologies: A new method based on goodness-of-fit. European Journal of Operational Research. 113:1999;206-214.
19. Luenberger D.G. Microeconomic Theory. 1995;McGraw-Hill, New York.
20. Panzar J.C., Willing R.D. Economies of scale in multi-output production. Quarterly Journal of Economics. 91:1977;481-493.
21. Seiford L.M., Thrall R.M. Recent developments in DEA: The mathematical programming approach to frontier analysis. Journal of Econometrics. 46:1990;7-38.
22. Tone K. A simple characterization of returns to scale in DEA. Journal of Operations Research Society of Japan. 39(4):1996;604-613.
23. Zhu J., Shen Z. A discussion of testing DMUs' returns to scale. European Journal of Operational Research. 81:1995;590-596.