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

Published Online:https://doi.org/10.1287/mnsc.45.11.1593

References

  • Banker R. D. Estimating most productive scale size using data envelopment analysis. Eur. J. Oper. Res. (1984) 17:35–44CrossrefGoogle Scholar
  • Banker R. D., Thrall R. M. Estimation of returns to scale using data envelopment analysis. Eur. J. Oper. Res. (1992) 62:74–84CrossrefGoogle Scholar
  • Banker R. D., Bardhan I., Cooper W. W. A note on returns to scale in DEA. Eur. J. Oper. Res. (1996a) 88:583–585CrossrefGoogle Scholar
  • Banker R. D., Chang H., Cooper W. W. Equivalence and implementation of alternative methods for determining returns to scale in data envelopment analysis. Eur. J. Oper. Res. (1996b) 89:473–481CrossrefGoogle Scholar
  • Baumol W. J., Panzar J. C., Willig R. D.Contestable Markets and The Theory of Industry Structure (1982) (Harcourt Brace Jovanovich, Inc., New York) Google Scholar
  • Berger A. N., Brockett P. L., Cooper W. W., Pastor J. T. New approaches for analyzing and evaluating the performance of financial institutions. Eur. J. Oper. Res. (1997) 98:170–443CrossrefGoogle Scholar
  • Bogetoft P. DEA on relaxed convexity assumption. Management Sci. (1996) 42:457–465LinkGoogle Scholar
  • Charnes A., Cooper W. W., Rhodes E. Measuring the efficiency of decision making units. Eur. J. Oper. Res. (1978) 2:429–444CrossrefGoogle Scholar
  • Charnes A., Cooper W. W., Wei Q. L., Huang Z. M. Cone ratio data envelopment analysis and multi-objective programming. Internat. J. System Sci. (1989) 20:1099–1118CrossrefGoogle Scholar
  • Chang K. P., Guh Y. Y. Linear production functions and the data envelopment analysis. Eur. J. Oper. Res. (1991) 52:215–223CrossrefGoogle Scholar
  • Cooper W. W., Pastor J. T. Generalized efficiency measures (GEMS) and model relations for use in DEA. J. Productivity Anal. (1999) . Forthcoming in 1999CrossrefGoogle Scholar
  • Cooper W. W., Thompson R. G., Thrall R. M. Introduction: Extensions and new developments in DEA. Ann. Oper. Res. (1996) 66:3–46CrossrefGoogle Scholar
  • Cooper W. W., Sueyoshi T., Tone K. Evaluating performances for activities in pacific RIM countries. OMEGA: Internat. J. Management Sci. (1998) 26:143–331CrossrefGoogle Scholar
  • Debreu G. The coefficient of resource utilization. Econometrica (1951) 19:273–292CrossrefGoogle Scholar
  • Färe R. S., Grosskopf S. A nonparametric cost approach to scale efficiency. Scand. J. Econom. (1985) 87:594–604CrossrefGoogle Scholar
  • Färe R. S., Grosskopf S., Lovell C. A. K. The structure of technical efficiency. Scand. J. Econom. (1983) 85:181–190CrossrefGoogle Scholar
  • Färe R. S., Grosskopf S.Production Frontiers (1994) (Cambridge University Press, Cambridge, UK) Google Scholar
  • Farrell M. J. The measurement of productive efficiency. J. Roy. Statist. Soc. Series A (1957) 120:253–290CrossrefGoogle Scholar
  • Førsund F. On the calculation of scale elasticity in DEA models. J. Productivity Anal. (1996) 7:283–302CrossrefGoogle Scholar
  • Ganley J. A., Cubbin J. S.Public Sector Efficiency Measurement: Applications of Data Envelopment Analysis (1992) (North-Holland, Amsterdam) Google Scholar
  • Golany B., Yu G. Estimating returns to scale in DEA. Eur. J. Oper. Res. (1997) 103:28–37CrossrefGoogle Scholar
  • Kerstens K., Vanden Eeckaut P. Estimating returns to scale using nonparametric deterministic technologies: A new method based on goodness-of-fit. Eur. J. Oper. Res. (1998) 113:206–214CrossrefGoogle Scholar
  • Petersen N. Data envelopment analysis on a relaxed set of assumptions. Management Sci. (1990) 36:305–314LinkGoogle Scholar
  • Ray S. Weak axiom of cost dominance: A nonparametric test of cost efficiency without input quantity data. J. Productivity Anal. (1997) 8:151–165CrossrefGoogle Scholar
  • Seiford L. H. Data envelopment analysis: The evolution of the state of the art (1978–1995). J. Productivity Anal. (1996) 7:99–137CrossrefGoogle Scholar
  • Seitz W. D. The measurement of efficiency relative to a frontier production function. Amer. J. Agricultural Econom. (1970) 52:505–511CrossrefGoogle Scholar
  • Sueyoshi T. Measuring technical, allocative and overall efficiencies using DEA algorithm. J. Oper. Res. Soc. (1992) 43:141–155CrossrefGoogle Scholar
  • Sueyoshi T. Divestiture of Nippon Telegraph and Telephone. Management Sci. (1996) 42:1326–1351LinkGoogle Scholar
  • Sueyoshi T. Measuring efficiencies and returns to scale of Nippon Telegraph & Telephone in production and cost analyses. Management Sci. (1997) 43:779–796LinkGoogle Scholar
  • Sueyoshi T., Onishi K., Kinase Y. A bench mark approach for baseball evaluation. Eur. J. Oper. Res. (1999) 115:429–448CrossrefGoogle Scholar
  • Thompson R. G., Langemeier L. N., Lee C. T., Thrall R. M. The role of multiplier bounds in efficiency analysis with application to Kansas farming. J. Econometrics (1990) 46:93–108CrossrefGoogle Scholar
  • Thrall R. M. Duality, classification and slacks in DEA. Ann. Oper. Res. (1996) 66:109–162CrossrefGoogle Scholar
  • Tone K. A simple characterization of return to scale in DEA. J. Oper. Res. Soc. Japan (1996) 39:604–613Google Scholar
  • Zhu J., Shen Z. H. A discussion of testing DMUs' returns to scale. Eur. J. Oper. Res. (1995) 81:590–596CrossrefGoogle Scholar
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