Volume 20, Issue 4 (10-2023)
jor 2023, 20(4): 79-94 |
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Bani A A, Rostamy-Malkhalifeh M, Hosseinzadeh Lotfi F, Akbarian D. Some Necessary and Sufficient Conditions for Identification of Anchor Points in Data Envelopment Analysis. jor 2023; 20 (4) :79-94
URL: http://jamlu.liau.ac.ir/article-1-1959-en.html
URL: http://jamlu.liau.ac.ir/article-1-1959-en.html
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. , mohsen_rostamy@yahoo.com
Abstract: (1236 Views)
The study of anchor points is particularly important in terms of their strategic position in the production possibility set (PPS). They are connectors of the efficient and inefficient part of the PPS boundary in data envelopment analysis (DEA). In this paper, anchor points have been studied as an important subset of the set of extreme efficient points of the production possibility set. For this purpose, the present study presents two necessary and sufficient conditions and two sufficient conditions to characterize anchor points in BCC models. Although one of the applications of these points is improvement of envelopment topic, in some cases, identification of all anchor points is unnecessary. Therefore, the conditions mentioned in this paper are a guide to achieve this goal.
Keywords: Data Envelopment Analysis, Anchor Point, Production Possibility Set, Efficient and Inefficient Boundary
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