Scale Efficiency in DEA and DEA-R with Weight Restriction

Authors

  • J. Gerami Department of Applied Mathematics, Science and Research Branch Azad University, Fars, Iran. Department of Applied Mathematics, Shiraz Branch Azad University, Shiraz, Iran.
  • M. Nazari Department of Applied Mathematics, Science and Research Branch Azad University, Fars, Iran. Department of Applied Mathematics, Shiraz Branch Azad University, Shiraz, Iran.
  • M.R. Mozaffari Department of Applied Mathematics, Science and Research Branch Azad University, Fars, Iran. Department of Applied Mathematics, Shiraz Branch Azad University, Shiraz, Iran.
Abstract:

In data envelopment analyze (DEA) the scale efficiency in the input-oriented CCR model is less than or equal to the scale efficiency in DEA based on the fractional analysis (DEA-R). Also, the scale efficiency in case of multiple inputs and one output and vice versa the scale efficiencies are equal in DEA and DEA-R. In this paper, first, DEA-R model with weight restrictions when there is relative data is recommended. Second, the scale efficiencies in a constant return to scale are compared with each other in DEA and DEA-R models. At the end, a numerical example is provided for the proposed models with 27DMUs.

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Journal title

volume 2  issue 2

pages  397- 401

publication date 2014-06-24

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