Using lexicographic parametric programming for identifying efficient hyperpalnes in DEA

Subject Areas : Data Envelopment Analysis

Farhad Hosseinzadeh Lotfi ¹ , F. Rezai Balf ² , A. Taghavi ³

1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Islamic Azad University, Qaemshahr, Iran
3 - Department of Mathematics, Islamic Azad University, Qaemshahr, Iran

Received: 2015-08-25 Accepted : 2015-08-25 Published : 2009-10-01

Keywords: Data envelopment analysis, efficiency analysis, Lexicographic, Parametric programming, Efficient hyperplanes,

Abstract :

This paper investigates a procedure for identifying all efficient hyperplanes of production possibility set (PPS). This procedure is based on a method which recommended by Pekka J. Korhonen[8]. He offered using of lexicographic parametric programming method for recognizing all efficient units in data envelopment analysis (DEA). In this paper we can find efficient hyperplanes, via using the parameterization of the right hand side vector of the envelopment problem of each efficient unit.

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