Frontier projection and efficiency decomposition in two-stage processes with slacks-based measures
Frontier projection and efficiency decomposition in two-stage processes with slacks-based measures
复制标题
基于松弛措施的两阶段过程中的前沿投影和效率分解
DOI：
10.1016/j.ejor.2015.09.031
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发表时间：
2016-04-16
影响因子：
6.4
通讯作者：
Wu, Huaqing
中科院分区：
文献类型：
--
作者：
Chen, Ya;Li, Yongjun;Wu, Huaqing
在测量两级过程效率的现有文献中，存在径向和非径向效率测量方法。在某些情况下，允许所有输入、中间测量和输出不成比例地变化的非径向方法比径向方法更合适，但它们不能确保级效率或允许两级过程的效率分解。基于松弛测度（SBM），本文建立了基于乘数和基于边界的模型，同时获得前沿投影和效率分解。具体地说，我们提出了可变中间测度SBM（VSBM）模型来评价两阶段过程的系统效率，并考虑了VSBM模型的以下三个性质：1）基于VSBM模型导出了有效DEA前沿投影; 2）解决了模型中关于中间测度的潜在冲突; 3）证明了系统的无效率等价于两个阶段的无效率之和。在VSBM模型对偶的基础上，推导了两阶段过程的效率分解。最后，我们将我们提出的方法应用于美国商业银行的真实的数据，并将我们的方法扩展到可变规模收益率（VRS）假设成立或有更一般的网络结构的设置。(C)2015年，Elsevier B. V.和欧洲运筹学会协会（EURO）在国际运筹学会联合会（IFORS）内。All rights reserved.
In the prior literature on measuring the efficiency of two-stage processes, there are both radial and non-radial methods of efficiency measurement. In some cases, non-radial methods which allow all inputs, intermediate measures and outputs to change non-proportionally are more appropriate than radial methods, but they do not ensure stage efficiency or allow for the efficiency decomposition of two-stage processes. Based on slacks-based measure (SBM), this paper develops both envelopment-based and multiplier-based models to obtain simultaneously both the frontier projection and the efficiency decomposition. Specifically, we propose the variable intermediate measures SBM (VSBM) model to evaluate the system efficiency of two-stage processes and consider the following three properties of the VSBM model: 1) we derive the efficient DEA frontier projection based on the VSBM model; 2) we address potential conflicts in this model with respect to the intermediate measures; 3) we prove that the system inefficiency is equivalent to the sum of inefficiencies of the two stages. Furthermore, we derive the efficiency decomposition of two-stage processes based on the dual of the VSBM model. Finally, we apply our proposed approach to real data of US commercial banks, and extend our approach to settings in which the assumption of variable returns to scale (VRS) holds or there are more general network structures. (C) 2015 Elsevier B.V. and Association of European Operational Research Societies (EURO) within the International Federation of Operational Research Societies (IFORS). All rights reserved.