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An algorithm for the anchor points of the PPS of the CCR model | ||
| International Journal of Data Envelopment Analysis | ||
| مقاله 4، دوره 5، شماره 4، دی 2017، صفحه 1411-1424 اصل مقاله (695.57 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
Dariush Akbarian 
| ||
| Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Data envelopment analysis (DEA)؛ Production Possibility Set (PPS), Efficient and inefficient frontier | ||
| مراجع | ||
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[1] Amirteimoori A., Kordrostami S., (2005). Efficient surfaces and an efficiency index in DEA: a constant returns to scale, Applied Mathematics and Computation, 163 683-691.
[2] Allen, R., & Thanassoulis, E. (2004). Improving envelopment in data envelopment analysis. European Journal of Operational Research, 154, 363-379.
[3] Bougnol M-L., Dula , J.H., (2009). \Anchor points in DEA", European Journal of Operational Research, 192 668-676. | ||
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