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Sensitivity and Stability Analysis on a Norm 1 Ranking Model in Data Envelopment Analysis | ||
Journal of New Researches in Mathematics | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 01 آبان 1402 | ||
نوع مقاله: research paper | ||
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.64187.2177 | ||
نویسندگان | ||
Mahnaz Pakhezhad1؛ Masoud Sanei ![]() | ||
1Department of Mathematics, Islamic Azad University, Central Tehran Branch | ||
2Department of Mathematics, Islamic Azad University, Kermanshah Branch | ||
چکیده | ||
Considering that more than one unit may be introduced as an efficient unit in the evaluation of decision-making units (DMUs) by data envelopment analysis (DEA) models, therefore, many ranking methods have been presented by researchers each of which has its strengths and weaknesses. Also, one of the important issues in DEA is DMUs rank sensitivity and stability analysis. In this paper, we propose a method for sensitivity analysis the rank of DMUs which is based on ranking using norm 1 linear model. The proposed model ensures the maintenance of the current rank of the vertex efficiency units by finding the area of changes for the input and output values. Considering that more than one unit may be introduced as an efficient unit in the evaluation of decision-making units (DMUs) by data envelopment analysis (DEA) models, therefore, many ranking methods have been presented by researchers each of which has its strengths and weaknesses. | ||
کلیدواژهها | ||
Data Envelopment Analysis؛ Efficiency؛ Ranking؛ Sensitivity Analysis | ||
آمار تعداد مشاهده مقاله: 28 |