A Novel Enhanced Russell Graph Efficiency Measure in Network DEA

Robabeh Eslami and Mohammad Khoveyni
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Robabeh Eslami: Department of Mathematics, Faculty of Technology and Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
Mohammad Khoveyni: ��Department of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran

International Journal of Information Technology & Decision Making (IJITDM), 2022, vol. 21, issue 02, 789-819

Abstract: Hitherto, the presented models for measuring the efficiency score of multi-stage decision-making units (DMUs) either are nonlinear or require to specify the weights for combining their divisional efficiencies. The nonlinearity leads to high computational complexity for these models, especially when used for problems with enormous dimensions, and also assigning various weights to the divisional efficiencies causes to obtain different efficiency scores for the multi-stage network system. To tackle these problems, this study contributes to network DEA by introducing a novel enhanced Russell graph (ERG) efficiency measure for evaluating the general two-stage series network structures. Then, the proposed model is extended into the general multi-stage series network structures. This study also describes the managerial and economic implications of measuring the efficiency score of the multi-stage DMUs and provides two numerical and empirical examples for illustrating the use of our proposed model.

Keywords: Data envelopment analysis; network DEA; intermediate product; efficiency; slack variable (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0219622022500018

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