| Issue |
RAIRO-Oper. Res.
Volume 55, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|
|
|---|---|---|
| Page(s) | S1151 - S1164 | |
| DOI | https://doi.org/10.1051/ro/2020086 | |
| Published online | 02 March 2021 | |
An algorithm for the anchor points of the PPS of the FRH models
Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
* Corresponding author: d_akbarian@yahoo.com, d-akbarian@iau-arak.ac.ir
Received:
9
March
2020
Accepted:
29
July
2020
In this paper we deal with a variant of non-convex data envelopment analysis, called free replication hull model and try to obtain their anchor points. This paper uses a variant of super-efficiency model to characterize all extreme efficient decision making units and anchor points of the free replication hull models. A necessary and sufficient conditions for a decision making unit to be anchor point of the production possibility set of the free replication hull models are stated and proved. Since the set of anchor points is a subset of the set of extreme units, a definition of extreme units and a new method for obtaining these units in non-convex technologies are given. To illustrate the applicability of the proposed model, some numerical examples are finally provided.
Mathematics Subject Classification: 90C08
Key words: Data envelopment analysis (DEA) / free replication hull (FRH) / integer programming
© EDP Sciences, ROADEF, SMAI 2021
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