1Ranking Efficient Units in DEA by Using Malmquist Productivity Index
Publish place: The First National Conference on Mathematical Modeling and Computational Methods in Sciences and Engineering
Publish Year: 1398
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MMCM01_017
تاریخ نمایه سازی: 19 فروردین 1400
Abstract:
Since in evaluating by traditional data envelopment analysis (DEA) models, many decision making units (DMUs) are classified as efficient, it is necessary to give a full ranking of the DMUs. Since none of the ranking methods have used the Malmquist Productivity Index (MPI) for ranking efficient DMUs, this paper introduces a new method for ranking DMUs which is based on the omission of the efficient DMUs from the Production Possibility Set (PPS) in two time periods t and t + 1 and measuring the magnitude of their influence on the MPI of the other DMUs. Also, one of the advantages of the presented approach is ranking extreme and non-extreme DMUs simultaneously in many cases. A numerical example confirms the validity of the proposed method.
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Authors
P Zamani
Department of Industrial Engineering, Qom Branch, Islamic Azad University, Qom, Iran
L Ebrahimi
Department of Industrial Engineering, Qom Branch, Islamic Azad University, Qom, Iran
M Zohrabi
Master of Science, Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran