An ‎A‎lgorithm for Weak Defining Hyperplanes of the PPS in Data Envelopment ‎Analysis

Subject Areas : International Journal of Industrial Mathematics

علی اکبر  بانی ¹ (گروه ریاضی، واحد گرگان، دانشگاه آزاد اسلامی، گرگان، ایران.)
محسن  رستمی مالخلیفه ² (گروه ریاضی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران)
فرهاد  حسین زاده لطفی ³ (گروه ریاضی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران.)

Received: 2022-03-12 Accepted : 2022-11-17 Published : 2023-07-01

Keywords: Data envelopment analysis (DEA), Frontier, Production Possibility Set (PPS), Anchor point, Weak defining hyperplane,

Abstract :

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.