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Network FDH Models: Measuring the efficiency scores from the aggregation viewpoints | ||
| Journal of New Researches in Mathematics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 شهریور 1399 | ||
| نوع مقاله: research paper | ||
| نویسندگان | ||
Ibrahim Tavakoli1؛ امین مصطفائی  2
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| 1Department of Industrial Engineering, Engineering faculty, Tehran North Branch, Islamic Azad University, Tehran, Iran | ||
| 2گروه ریاضی، دانشکده علوم پایه، دانشگاه آزاد اسلامی واحد تهران شمال، تهران، ایران | ||
| چکیده | ||
| Data Envelopment Analysis (DEA) is a non-parametric method for measuring the performance of a set of decision making units (DMUs) . Recently, application of DEA has attracted many interest from scholars in the circumstances with two-stage or network structures. This paper develops FDH models to the units with the general two-stage structure from the efficiency aggregation points of view. The provided models are useful for both the situations in which the stages follow the same or different standard returns to scale (RTS) assumptions (including constant, variable, non-increasing and non-decreasing RTS) . Some closed form formulas are provided to calculate the overall and stage efficiency scores under the different RTS assumptions, without solving any mathematical programming problem but by some simple operations. Furthermore, it is proved that the provided models project the inefficient DMUs into the efficient frontier. Finally, the case of Taiwanese non--life insurance companies validates the reasonableness and acceptability of the provided approach in FDH models. | ||
| کلیدواژه‌ها | ||
| Network Data Envelopment Analysis؛ FDH production technology؛ Two-stage structure؛ Overall efficiency؛ Efficiency aggregation | ||
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آمار تعداد مشاهده مقاله: 217 |
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