Abstract
The main purpose of the present study is to evaluate the productivity change of decision making units (DMUs) over time based on ratio data envelopment analysis (DEA-R). To achieve this aim, we formulate a ratio-based profit efficiency model that is inspired by the ratio form of the profit efficiency. Also, a non-oriented DEA-R model is presented to define DEA-R allocative efficiency of DMUs which by using it the proposed productivity index can be decomposed into four components. Finally, a numerical example is presented to compare the results of the proposed approach with DEA approach.
Disclosure statement
No potential conflict of interest was reported by the authors.