An Algorithm for Weak Defining Hyperplanes of the PPS in Data Envelopment Analysis
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 46
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شناسه ملی سند علمی:
JR_IJIM-15-2_009
تاریخ نمایه سازی: 26 دی 1402
چکیده مقاله:
Border points of the production possibility set (PPS) have particular importance in data envelopment analysis (DEA). The present study aims to provide a method to find weak defining hyperplanes of DEA models by the anchor points. Anchor points are an important subset of the set of extreme efficient points of the PPS in DEA. They are directly related to weak defining hyperplanes in the production possibility set. Therefore, we used this feature and offered a practical algorithm to find weak defining hyperplanes of PPS. Eventually, we illustrate our algorithm using two numerical examples.
کلیدواژه ها:
Data envelopment analysis (DEA) ، Anchor point ، Production Possibility Set (PPS) ، Weak defining hyperplane ، Frontier
نویسندگان
علی اکبر بانی
Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran.
محسن رستمی مالخلیفه
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
فرهاد حسین زاده لطفی
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.