Cost efficiency in three stage network DEA-R processes

Subject Areas : Statistics

parisa  kamyab ¹ (Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran)
Mohammad Reza  Mozaffari ² (Department of Mathematics, shiraz Branch, Islamic Azad University, shiraz, Iran)

Received: 2018-07-24 Accepted : 2020-02-18 Published : 2020-04-20

Keywords: شبکه DEA-R, تحلیل پوششی داده ها, کارایی هزینه,

Abstract :

In many organizations and financial institutions, we don't always have acsses to inputs and outputs to evaluate the decision-making units (DMUs), but rather only a ratio of inputs to outputs ( or reverse) might be available. In DEA, cost efficiency determines input standards based on input costs. In multi-stage network DEA processes, in addition to input standards, cost efficiency would determine the standards for intermediate vectors as well as using linear programming models. In this paper, we calculated efficiency values for each stage, as well as overall efficiency based on a proxuction possibility set (PPS) in three stage network DEA-R processes. Then, we suggest three stage network DEA-R (ratio-based DEA midel) processes which are a combination of data envelopment analysis (DEA) and ratio data then we will propose cost efficiency models in each three stage network DEA-R process. Afterthan, we will determine the standards for outputs and intermediate measures in each stage using the subject of cost efficiency . In the end, overall efficiency and cost efficiency will be evaluated among of 30 Iranian educational research centers during the first half- year of 2015 based on a three stage network DEA-R process.

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