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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

  • Toshiyuki Sueyoshi

    (Science University of Tokyo, Department of Industrial Administration, 2641 Yamazaki Noda-shi, Chiba-ken, Japan 278)

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    This article discusses the concept of RTS (Returns To Scale) in the framework of DEA (Data Envelopment Analysis) production and cost analyses, focusing on an occurrence of multiple solutions and how to deal with such a difficulty. Dual relationships between production-based and cost-based RTS estimates are also theoretically discussed in this study.

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    File URL: http://dx.doi.org/10.1287/mnsc.45.11.1593
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    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 45 (1999)
    Issue (Month): 11 (November)
    Pages: 1593-1608

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    Handle: RePEc:inm:ormnsc:v:45:y:1999:i:11:p:1593-1608
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    1. Banker, R. D. & Bardhan, I. & Cooper, W. W., 1996. "A note on returns to scale in DEA," European Journal of Operational Research, Elsevier, vol. 88(3), pages 583-585, February.
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    6. N/A, 1996. "Note:," Foreign Trade Review, Indian Institute of Foreign Trade, vol. 31(1-2), pages 1-1, January.
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    8. Sueyoshi, Toshiyuki & Ohnishi, Kenji & Kinase, Youichi, 1999. "A benchmark approach for baseball evaluation," European Journal of Operational Research, Elsevier, vol. 115(3), pages 429-448, June.
    9. Chang, Kuo-Ping & Guh, Yeah-Yuh, 1991. "Linear production functions and the data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 52(2), pages 215-223, May.
    10. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
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    13. Thompson, Russell G. & Langemeier, Larry N. & Lee, Chih-Tah & Lee, Euntaik & Thrall, Robert M., 1990. "The role of multiplier bounds in efficiency analysis with application to Kansas farming," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 93-108.
    14. Fare, Rolf & Grosskopf, Shawna & Lovell, C A Knox, 1983. " The Structure of Technical Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(2), pages 181-90.
    15. Wesley D. Seitz, 1970. "The Measurement of Efficiency Relative to a Frontier Production Function," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 52(4), pages 505-511.
    16. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July.
    17. Fare, Rolf & Grosskopf, Shawna, 1985. " Nonparametric Cost Approach to Scale Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 87(4), pages 594-604.
    18. Subhash Ray, 1997. "Weak Axiom of Cost Dominance: A Nonparametric Test of Cost Efficiency Without Input Quantity Data," Journal of Productivity Analysis, Springer, vol. 8(2), pages 151-165, May.
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