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Data Envelopment Analysis pp 131–176Cite as

Returns to Scale

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Notes

  1. R.D. Banker and R.M. Thrall (1992) “Estimating Most Productive Scale Size Using Data Envelopment Analysis,” European Journal of Operational Research 62, pp. 74–84.

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  2. R.D. Banker, I. Bardhan and W.W. Cooper (1996) “A Note on Returns to Scale in DEA,” European Journal of Operational Research 88, pp. 583–585.

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  3. R.D. Banker, H. Chang and W.W. Cooper (1996) “Equivalence and Implementation of Alternative Methods for Determining Returns to Scale in Data Envelopment Analysis,” European Journal of Operational Research 89, pp.473–481.

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  4. R.D. Banker and R. Morey (1986) “Efficiency Analysis for Exogenously Fixed Inputs and Outputs” Operations Research 34, pp.513–521.

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  5. T. Ahn, A. Charnes and W.W. Cooper (1989), “A Note on the Efficiency Characterizations Obtained in Different DEA Models,” Socio-Economic Planning Sciences 22, pp.253–257.

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  6. See R.D. Banker (1984), “Estimating Most Productive Scale Size Using Data Envelopment Analysis,” European Journal of Operational Research 17, pp. 35–44. See also R.D. Banker, A. Charnes and W.W. Cooper (1984), “Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis,” Management Science 30, pp.1078–1092. A brief review of the history of this and related concepts is to be found in F.R. Forsund — “On the Calculation of the Scale Elasticity in DEA Models,” Journal of Productivity Analysis 7, 1996, pp. 283–302 — who traces the idea of a technically optimal scale to R. Frisch’s classical volume, Theory of Production (Dordrecht: D.Reidel, 1965). See also L.M. Seiford and J. Zhu (1999) “An Investigation of Returns to Scale in Data Envelopment Analysis,” Omega 27, pp. 1–11.

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  7. This transformation is done explicitly in the Appendix to W.W. Cooper, R.G. Thompson and R.M. Thrall (1996) “Extensions and New Developments in DEA,” Annals of Operations Research 66, pp. 3–45.

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Authors and Affiliations

  1. University of Texas, USA

    William W. Cooper

  2. University of Michigan, USA

    Lawrence M. Seiford

  3. National Graduate Institute for Policy Studies, Japan

    Kaoru Tone

Authors
  1. William W. Cooper
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  2. Lawrence M. Seiford
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  3. Kaoru Tone
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Cooper, W.W., Seiford, L.M., Tone, K. (2007). Returns to Scale. In: Data Envelopment Analysis. Springer, New York, NY. https://doi.org/10.1007/978-0-387-45283-8_5

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