A variation of two-stage SBM with leader-follower structure: an application to Chinese commercial banks
针对两阶段SBM模型效率值过低、投影距离过大的问题,提出一种引入领导者-追随者结构的变体,应用于中国商业银行,可将低效银行的效率提升并使部分银行的投影距离减半。
The two-stage slack-based measure (SBM) model has many applications in the real world. Due to the limitations of the SBM model on which it is based, the two-stage SBM model unfortunately gives unrealistically low efficiencies and rather far projections (Tone in Eur J Oper Res 197(1):243–252, 2010 Tone, K. (2010). Variations on the theme of slacks-based measure of efficiency in DEA. European Journal of Operational Research, 200(3), 901–907.[Crossref], [Web of Science ®] , [Google Scholar]) for inefficient decision- making unit. Based on the novel idea in Tone (2010 Tone, K. (2010). Variations on the theme of slacks-based measure of efficiency in DEA. European Journal of Operational Research, 200(3), 901–907.[Crossref], [Web of Science ®] , [Google Scholar]), this paper proposes a variation of the two-stage SBM model by incorporating a leader–follower structure and applies the proposed approach to Chinese commercial banks. The results show that our proposed approach can increase efficiencies of inefficient banks and halve the projection distance of some inefficient banks.