TWO NOVEL ROBUST NETWORK DATA ENVELOPMENT ANALYSIS MODELS TO OBTAIN THE PERFORMANCE SCORE INTERVAL OF MULTI-STAGE SERIES SYSTEMS

Authors

  • Farhad Sanchooli Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • Seyyed Esmaeil Najafi Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • Farhad Hosseinzadeh Lotfi Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • Farzad Movahedi Sobhani Department of Industrial Engineering, Science and Research Branch, Islamic Azad University Tehran, Iran

DOI:

https://doi.org/10.23055/ijietap.2024.31.1.9657

Keywords:

Network DEA, Robust Optimization, Multi-Stage Systems, Bertsimas Approach

Abstract

The main goal of this paper is to present a new approach for measuring the performance of n-stage series systems in the presence of uncertain data, which are two challenging issues in evaluating the efficiency of Decision-Making Units (DMUs) using traditional Data Envelopment Analysis (DEA) models. By using a Network DEA model and its dual, as well as using Bertsimas et al.'s robustness technique, two Robust Network DEA have been presented. These models can display a range of DMUs performance with appropriate accuracy. Proposed models were used to determine the efficiency range of Iranian dairy companies' supply chain with three stages. The results show that the proposed models are applicable and effective. Total efficiency bounds are obtained with percentage deviations of 20%, 10% and 5%. The lower bounds have relative errors of 0.39, 0.23 and 0.12 and a correlation coefficient of more than 97%, and the upper bounds have relative error of 1.1, 0.84 and 0.62 and a correlation coefficient of about 90%. Therefore, the proposed model for calculating the lower bound is more accurate. The calculation of the efficiency bounds of the sub-stages also confirms this issue. Finally, the obtained results have been compared with the values obtained through a fuzzy three-stage DEA model, our results have a higher correlation coefficient and more accurate upper bounds.

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Published

2024-02-20

How to Cite

Sanchooli, F., Najafi, S. E., Hosseinzadeh Lotfi, F., & Movahedi Sobhani, F. (2024). TWO NOVEL ROBUST NETWORK DATA ENVELOPMENT ANALYSIS MODELS TO OBTAIN THE PERFORMANCE SCORE INTERVAL OF MULTI-STAGE SERIES SYSTEMS. International Journal of Industrial Engineering: Theory, Applications and Practice, 31(1). https://doi.org/10.23055/ijietap.2024.31.1.9657

Issue

Vol. 31 No. 1 (2024)

Section

Operations Research

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