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Evaluation of decision-making units using directional distance function with weak disposability in the presence of undesirable outputs | ||
Journal of Mathematical Modeling | ||
مقاله 14، دوره 13، شماره 3، مهر 2025، صفحه 685-704 اصل مقاله (253.44 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2025.29485.2620 | ||
نویسندگان | ||
Jafar Pourmahmoud* ؛ Samaneh Radfar | ||
Department of Applied Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran | ||
چکیده | ||
This study evaluates decision-making units (DMUs) that produce unavoidable undesirable outputs, which negatively affect performance. Previous studies by researchers have explored approaches for calculating the minimum undesirable outputs, presenting the abatement range for undesirable outputs and assessing DMU efficiency, yet challenges remain. To address this, we introduce a new method based on the directional distance function model with individual-proportion weak disposability. The proposed method calculates the minimum unavoidable undesirable outputs, evaluates DMU efficiency for both undesirable and minimum undesirable outputs, separates the effects of desirable and undesirable outputs on inefficiency, and resolves the limitations of earlier methods. Finally, the proposed method is applied to practical examples to demonstrate its superiority over existing approaches. | ||
کلیدواژهها | ||
Decision-making units؛ Data envelopment analysis؛ Efficiency؛ Weak disposability؛ Minimum undesirable outputs | ||
آمار تعداد مشاهده مقاله: 36 تعداد دریافت فایل اصل مقاله: 37 |