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CCR-DP model with dominated inflation function of inputs

Author

Listed:
  • Boguslaw Guzik

    () (Katedra Ekonometrii, Akademia Ekonomiczna, Poland)

Abstract

In standard input-oriented DEA it is assumed that the marginal productivity of inputs is constant. The efficiency changes can be achieved by proportional changes of all inputs. The author of the article considers decreasing marginal productivity of inputs and presents the appropriate modification of DEA models. The modification consists in adding the individual scale multipliers of inputs and individual scale multipliers of results. The author considers a function called dominated inflation function of inputs. It describes the input multipliers as an increasing convex function of by multipliers of results. Two examples of inflation function are suggested: linear-exponential and linear-power function. The appropriate efficiency rate is also presented. Numerical example includes a detailed analysis of efficiency changes.

Suggested Citation

  • Boguslaw Guzik, 2008. "CCR-DP model with dominated inflation function of inputs," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 4, pages 29-46.
  • Handle: RePEc:wut:journl:v:4:y:2008:p:29-46
    as

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    References listed on IDEAS

    as
    1. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    2. Thanassoulis, E. & Dyson, R. G., 1992. "Estimating preferred target input-output levels using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 56(1), pages 80-97, January.
    3. 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.
    4. Tofallis, C., 1996. "Improving discernment in DEA using profiling," Omega, Elsevier, vol. 24(3), pages 361-364, June.
    5. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    6. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
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