An algorithm for the anchor points of the PPS of the CCR model

Subject Areas : International Journal of Data Envelopment Analysis

Dariush Akbarian ¹

1 - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran.

Received: 2017-05-20 Accepted : 2017-09-28 Published : 2017-10-01

Keywords: Data envelopment analysis (DEA), Production Possibility Set (PPS), Efficient and inefficient frontier,

Abstract :

Anchor DMUs are a new class in the general classification of Decision Making Units (DMUs) in Data Envelopment Analysis (DEA). An anchor DMU in DEA is an extreme-efficient DMU that defines the transition from the efficient frontier to the free-disposability part of the boundary of the Production Possibility Set (PPS). In this paper, the anchor points of the PPS of the CCR model are investigated. A basic definition of anchor point based on the supporting hyperplanes of the PPS of CCR model is provided. Then, by using a variant of super-efficiency models, the necessary and sufficient conditions for a DMU to be an anchor DMU are provided via some theorems. To illustrate the applicability of the proposed model, some numerical examples are finally given.

References:

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