Scale Efficiency in DEA and DEA-R with Weight Restriction

Subject Areas : International Journal of Data Envelopment Analysis

M. Nazari ¹ , M.R. Mozaffari ² , J. Gerami ³

1 - Department of Applied Mathematics, Science and Research Branch Azad University, Fars, Iran. Department of Applied Mathematics, Shiraz Branch Azad University, Shiraz, Iran.
2 - Department of Applied Mathematics, Science and Research Branch Azad University, Fars, Iran. Department of Applied Mathematics, Shiraz Branch Azad University, Shiraz, Iran.
3 - Department of Applied Mathematics, Science and Research Branch Azad University, Fars, Iran. Department of Applied Mathematics, Shiraz Branch Azad University, Shiraz, Iran.

Received: 2014-02-20 Accepted : 2014-06-24 Published : 2014-06-24

Keywords: Weight Restrictions, DEA, DEA-R,

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.