Developing the Modified Russell Model for Decision Making Units under General Two-Stage Structure with the Effect of Intermediate Data on the Efficiency

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Karimi Sani M.A.; BARADARAN V.; MOSTAFAEI A.

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Journal Paper

Paper Information

Journal: Journal of Operational Research in its Applications Year:2021 | Volume:18 | Issue:3 (70) Page(s): 139-160

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Title

Developing the Modified Russell Model for Decision Making Units under General Two-Stage Structure with the Effect of Intermediate Data on the Efficiency

Author(s)

Karimi Sani M.A. | BARADARAN V. | MOSTAFAEI A. | Issue Writer Certificate

Keywords

Network Data Envelopment Analysis

Intermediate Measure

Two-Stage Structure

Overall Efficiency

Stage Efficiency

Abstract

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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APA: Copy

Karimi Sani, M.A., BARADARAN, V., & MOSTAFAEI, A.. (2021). 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 (JOURNAL OF APPLIED MATHEMATICS), 18(3 (70) ), 139-160. SID. https://sid.ir/paper/951298/en

Vancouver: Copy

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 (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2021;18(3 (70) ):139-160. Available from: https://sid.ir/paper/951298/en

IEEE: Copy

M.A. Karimi Sani, V. BARADARAN, and A. MOSTAFAEI, “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 (JOURNAL OF APPLIED MATHEMATICS), vol. 18, no. 3 (70) , pp. 139–160, 2021, [Online]. Available: https://sid.ir/paper/951298/en

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