Re-examining scale elasticity in DEA

• Banker, R.D., A. Charnes, and W.W. Cooper. (1984).“Models for the Estimation of Technical and Scale Inefficiencies in Data Envelopment Analysis.” Management Science, 30, 1078–1092.

  Google Scholar 

• Banker, R.D. and R.M. Thrall. (1992). “Estimation of Returns to Scale Using Data Envelopment Analysis.” European Journal of Operational Research, 62, 74–84.

  Article  Google Scholar 

• Baumol, W.J., J.C. Panzar, and R.D. Willig. (1982). Contestable Markets and The Theory of Industry Structure. Harcourt Brace Jovanovich, New York.

  Google Scholar 

• Byrnes, P. and V. Valdmanis. (1994). “Analyzing Technical and Allocative Efficiency of Hospitals.” In Charnes, Cooper, Lewin and Seidord (eds), Data Envelopment Analysis: Theory, Methodology and Applications. Norwell Mass, Kluwer Academic Publishers, pp. 129–144.

• Chambers, R.G. (1988). Applied Production Analysis: A Dual Approach. UK: Cambridge University Press, Cambridge.

  Google Scholar 

• Charnes, A., W.W. Cooper, and E. Rhodes. (1978). “Measuring the Efficiency of Decision Making Units.” European Journal of Operational Research, 2, 429–444.

  Article  Google Scholar 

• Coelli, T., D.S.P. Rao, and G.E. Battese. (1998). An Introduction to Efficiency and Productivity Analysis. Kluwer Academic Publishers, Boston.

  Google Scholar 

• Cooper, W.W., K.S. Park, and J.T. Pastor Ciurana. (2000). “Marginal Rates and Elasticities of Substitution with Additive Models in DEA.” Journal of Productivity Analysis, 13, 105–123.

  Article  Google Scholar 

• Cooper, W.W., L.M. Seiford, and K. Tone. (1999). Data Envelopment Analysis — A Comprehensive Text with Models, Applications, References and DEA-Solver Software. Kluwer Academic Publishers, Norwell Mass.

• Färe, R. (1988). Fundamentals of Production Theory. Lecture Notes in Economics and Mathematical Systems, Vol. 311. Springer-Verlag, Berlin Heidelberg.

• Färe, R., S. Grosskopf, and C.A. K. Lovell. (1985). The Measurement of Efficiency of Production. Kluwer Nijhoff, Boston.

  Google Scholar 

• Färe, R., S. Grosskopf, and C.A. K. Lovell. (1986). “Scale Economies and Duality.” Journal of Economics, 46, 175–182.

  Google Scholar 

• Färe, R., S. Grosskopf, and C.A. K. Lovell. (1988). “Scale Elasticity and Scale Efficiency.” Journal of Institutional and Theoretical Economics, 144, 721–729.

  Google Scholar 

• Färe, R., S. Grosskopf, and C.A. K. Lovell. (1994). Production Frontiers. Cambridge University Press, Cambridge.

  Google Scholar 

• Farrell, M.J. (1957). “The Measurement of Productive Efficiency.” Journal of the Royal Statistical Society, Series A, 120, 253–290.

  Google Scholar 

• Forsund, F.R. (1996). “On the Calculation of Scale Elasticity in DEA Models.” Journal of Productivity Analysis, 7, 283–302.

  Article  Google Scholar 

• Forsund, F. R. and L. Hjalmarsson. (2004). “Are All Scales Optimal in DEA? Theory and Empirical Evidence.” Journal of Productivity Analysis, 21, 25–48.

  Google Scholar 

• Frisch, R. (1965). Theory of Production. Dordrecht: D. Reidel Publishing Company.

  Google Scholar 

• Fukuyama, H. (2001). “Returns to Scale and Scale Elasticity in Farrell, Russell and Additive Models.” Journal of Productivity Analysis, 16, 225–239.

  Article  Google Scholar 

• Hanoch, G. (1970). “Homotheticity in Joint Production.” Journal of Economic Theory, 2, 423–426.

  Article  Google Scholar 

• Lothgren, M. and M. Tambour. (1996). “Alternative Approaches to Estimate Returns to Scale in DEA-Models.” Stockholm School of Economics Working paper No. 90.

• Panzar, J. C. and R.D. Willig. (1977). “Economies of Scale in Multi-output Production.” Quarterly Journal of Economics, XLI, 481–493.

  Google Scholar 

• Ray, S.C. (1999). “Measuring Scale Efficiency from a Translog Production Function.” Journal of Productivity Analysis, 11, 183–194.

  Article  Google Scholar 

• Sahoo, B.K., P.K. J. Mohapatra and M.L. Trivedi. (1999). “A Comparative Application of Data Envelopment Analysis and Frontier Translog Production Function for Estimating Returns to Scale and Efficiencies.” International Journal of Systems Science, 30, 481–493.

  Article  Google Scholar 

• Shephard, R. (1970). Theory of Cost and Production Functions. Princeton: Princeton University Press.

  Google Scholar 

• Starrett, D.A. (1977). “Measuring Returns to Scale in the Aggregate, and the Scale Effect of Public Goods.” Econometrica, 45, 1439–1455.

  Article  Google Scholar 

• Sueyoshi, T. (1997). “Measuring Efficiencies and Returns to Scale of Nippon Telegraph & Telephone in Production and Cost Analyses.” Management Science, 43, 779–796.

  Google Scholar 

• Sueyoshi, T. (1999). “DEA Duality on Returns to Scale (RTS) in Production and Cost Analyses: An Occurrence of Multiple Solutions and Differences Between Production-based and Cost-based RTS Estimates.” Management Science, 45, 1593–1608.

  Article  Google Scholar 

• Tone, K. (2002). “A Strange Case of the Cost and Allocative Efficiencies in DEA.” Journal of the Operational Research Society, 53, 1225–1231.

  Article  Google Scholar 

• Tone, K. and B.K. Sahoo. (2003). “Scale, Indivisibility and Production Function in Data Envelopment Analysis.” International Journal of Production Economics, 84, 165–192.

  Article  Google Scholar 

• Tone, K. and B.K. Sahoo. (2005). “Cost Efficiency and Returns to Scale of Life Insurance Corporation of India Using Data Envelopment Analysis,” Socio-Economic Planning Sciences, 39, 261–285.

  Google Scholar 

• Tone, K. and B.K. Sahoo. (2004). “Degree of Scale Economies and Congestion: A Unified DEA Approach.” European Journal of Operational Research, 158, 755–772.

  Article  Google Scholar 

• Varian, H. (1992). Microeconomic Analysis. Norton, New York.

  Google Scholar 

Download references