ANALYSIS OF SPECIFIC STATES IN NONPARAMETRIC DECISION-MAKING METHODS

Authors

  • Kiyana Salehi Department of Industrial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.
  • Ahmad Mehrabian Department of Industrial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.
  • Hossein Amoozad Khalili Department of Industrial Engineering, Sari Branch Islamic Azad University, Sari, Iran.
  • Mehrzad Navabakhsh Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran.

DOI:

https://doi.org/10.23055/ijietap.2022.29.2.8041

Abstract

Decision-making techniques have now been developed more than ever before; however, it does not mean that the proposed models are impeccable and flawless. One of the most common multi-criteria decision-making methods is Data Envelopment Analysis (DEA), which is a nonparametric decision-making method as the weights of evaluation attributes are unknown in this model, and it is necessary to employ Linear Programming (LP) models to find them. This paper aims to analyze some specific states in existing problems in this area for the solution of which basic models might be slightly inefficient. Therefore, a few mathematical theorems are introduced and proven in this study to solve these problems. The proposed method avoids increasing the number of decision-making attributes and constraints in non-input DEA models. The results show that the proposed approach improved the simplex algorithm's performance in solving the related linear programming models.

Author Biographies

Kiyana Salehi, Department of Industrial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.

PhD student in Department of Industrial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.

Ahmad Mehrabian, Department of Industrial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.

Assistant Professor in Department of  Industrial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.

Hossein Amoozad Khalili, Department of Industrial Engineering, Sari Branch Islamic Azad University, Sari, Iran.

Assistant Professor in Department of Industrial Engineering, Sari Branch Islamic Azad University, Sari, Iran.

Mehrzad Navabakhsh, Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran.

Assistant Professor in Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran.

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Published

2022-04-20

How to Cite

Salehi, K., Mehrabian, A., Amoozad Khalili, H., & Navabakhsh, M. (2022). ANALYSIS OF SPECIFIC STATES IN NONPARAMETRIC DECISION-MAKING METHODS. International Journal of Industrial Engineering: Theory, Applications and Practice, 29(2). https://doi.org/10.23055/ijietap.2022.29.2.8041

Issue

Vol. 29 No. 2 (2022):

Section

Operations Research

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