A unique equilibrium efficient frontier with fixed-sum outputs in data envelopment analysis |
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Authors: | Qingyuan Zhu Jie Wu Malin Song Liang Liang |
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Institution: | 1.School of Management,University of Science and Technology of China,Hefei,People’s Republic of China;2.Department of Business Administration,University of Illinois at Urbana-Champaign,Champaign,USA;3.Collaborative Innovation Center for Ecological Economics and Management,Anhui University of Finance and Economics,Bengbu,People’s Republic of China;4.School of Management,Hefei University of Technology,Hefei,People’s Republic of China |
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Abstract: | Based on the equilibrium efficient frontier data envelopment analysis (EEFDEA) approach, Fang (J Oper Res Soc 67:412–420, 2015a) developed an equivalent linear programming model to improve and strengthen the EEFDEA approach. Furthermore, Fang (2015a) indicated that his secondary goal approach can achieve a unique equilibrium efficient frontier. However, through a simple counterexample we demonstrate that Fang’s secondary goal approach cannot always achieve uniqueness of the equilibrium efficient frontier. In this paper, we propose an algorithm based on the secondary goal approach to address the problem. The proposed algorithm is proven mathematically to be an effective approach to guaranteeing the uniqueness of the equilibrium efficient frontier. |
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