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A Geometric Method in Data Envelopment Analysis to Obtain the Region of Efficiency


Affiliations
1 Department of Mathematics,LahijanBranch, Islamic Azad University, Lahijan, Iran, Islamic Republic of
 

In this paper we consider a geometric method in one of the issues in data envelopment analysis to obtain the region of efficiency (RE) for a super efficient decision-making unit (DMU) especially when this region is concave. First, we identify production possibility set(PPS) and reduced production possibility set (RPPSo). We determine region of efficiency and the region will be number of convex regions by applying this method. In this procedure, a super-efficient DMUois connected to the most n adjacent DMUs on the efficient frontier of .Then we will use equations of faces of convex regions in the boundary of achieved region of efficiency. Finally examples are given for clarifying, this particular subject.

Keywords

Data Envelopment Analysis, Variable Returns to Scale(VRS), Sensitivity Analysis, Linear Programming(LP)
User

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  • A Geometric Method in Data Envelopment Analysis to Obtain the Region of Efficiency

Abstract Views: 544  |  PDF Views: 164

Authors

S. Kordrostami
Department of Mathematics,LahijanBranch, Islamic Azad University, Lahijan, Iran, Islamic Republic of
S. Pourjafar
Department of Mathematics,LahijanBranch, Islamic Azad University, Lahijan, Iran, Islamic Republic of
H. Pourjafar
Department of Mathematics,LahijanBranch, Islamic Azad University, Lahijan, Iran, Islamic Republic of

Abstract


In this paper we consider a geometric method in one of the issues in data envelopment analysis to obtain the region of efficiency (RE) for a super efficient decision-making unit (DMU) especially when this region is concave. First, we identify production possibility set(PPS) and reduced production possibility set (RPPSo). We determine region of efficiency and the region will be number of convex regions by applying this method. In this procedure, a super-efficient DMUois connected to the most n adjacent DMUs on the efficient frontier of .Then we will use equations of faces of convex regions in the boundary of achieved region of efficiency. Finally examples are given for clarifying, this particular subject.

Keywords


Data Envelopment Analysis, Variable Returns to Scale(VRS), Sensitivity Analysis, Linear Programming(LP)

References





DOI: https://doi.org/10.17485/ijst%2F2013%2Fv6i2%2F30593