A unique equilibrium efficient frontier with fixed-sum outputs in data envelopment analysis
本文指出Fang的二次目标方法不能保证均衡有效前沿的唯一性，并提出一个算法来确保唯一性，对从事效率评价研究的学者有参考价值。
Based on the equilibrium efficient frontier data envelopment analysis (EEFDEA) approach, Fang (J Oper Res Soc 67:412–420, ) developed an equivalent linear programming model to improve and strengthen the EEFDEA approach. Furthermore, Fang () 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.