Volume 18, Issue 3 (9-2021)                   2021, 18(3): 139-160 | Back to browse issues page

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Karimi Sani M A, Baradaran V, Mostafaei A. Developing the Modified Russell Model for Decision Making Units under General Two-Stage Structure with the Effect of Intermediate Data on the Efficiency. Journal of Operational Research and Its Applications. 2021; 18 (3) :139-160
URL: http://jamlu.liau.ac.ir/article-1-1639-en.html
Department of Industrial Engineering, Tehran North Branch, Islamic Azad University, Tehran, Iran
Abstract:   (173 Views)
Traditional models for the Data Envelopment Analysis (DEA) like the modified Russell model consider the decision-making units as a black box and use only the initial and final inputs for measuring the performance of decision-making units congruent with network structures and do not consider their internal operations. Therefore, the origin of inefficiency in the structures will not be specified precisely. The network DEA models have been developed to resolve this problem. The overall efficiency and the stage efficiency score have not been considered in the modified Russell model due to the intermediate data. In this paper, a model based on the modified Russell model has been presented for evaluating the performance of general two-stage network structures, which in it some variables have been added to the model for determining the target (optimal) intermediate data. Besides the capability for evaluating the overall efficiency and the stage efficiency scores, the proposed model is capable of presenting some solutions for improving the efficiency of the any stage by changing the optimal intermediate data. The validation of the proposed model has been investigated by three mathematical theorems proving. A real case study in an education system is modeled by the proposed model.
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Type of Study: Research | Subject: General
Received: 2020/01/29 | Accepted: 2020/11/18

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