Some Conditions for Characterizing Anchor Points

Amin Mostafaee () and Majid Soleimani-Damaneh
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Amin Mostafaee: Department of Mathematics, College of Science, Tehran North Branch, Islamic Azad University, Tehran, Iran
Majid Soleimani-Damaneh: School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue, Tehran, Iran

Asia-Pacific Journal of Operational Research (APJOR), 2016, vol. 33, issue 02, 1-17

Abstract: The set of anchor points is an important subset of the set of extreme efficient points of the production possibility set (PPS) in data envelopment analysis (DEA). In this paper, some new results, under variable returns to scale (VRS) assumption, are given which characterize these points from different points of view. First, we prove two necessary and sufficient conditions leading to geometrical characterizations. Afterwards, four sufficient conditions are given with respect to the level values of the supporting hyperplanes, infeasibility of the super efficiency models, maximum/minimum data, and zero data. Some of the given conditions can be checked without solving any mathematical programming problems. Also, some of them can be tested by solving standard DEA models. The investigated conditions are useful in designing pre-processors and heuristics.

Keywords: Data envelopment analysis; anchor point; extreme point; linear programming (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0217595916500135

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