Inputs and outputs of Decision Making Units (DMUs) are estimated by the Inverse Data Envelopment Analysis (InvDEA) models, while their relative efficiency scores remain unchanged. But, in some cases, cost/price information of the inputs and outputs are available. This paper employs the input and output cost/price information, including the generalized InvDEA concept in two-stage structures. To this end, it proposes a four-stage method to deal with the InvDEA concept, for estimating the inputs and outputs of the DMUs with a two-stage network structure method, while the allocative efficiency scores of all the units remain stable. Eventually, an empirical example is rendered to illustrate the competence of the method which is presented.

中文翻译：

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基于分配效率的两阶段系统逆DEA

决策单元（DMU）的输入和输出由逆数据包络分析（InvDEA）模型估算，而它们的相对效率得分保持不变。但是，在某些情况下，可以获得投入和产出的成本/价格信息。本文采用输入和输出成本/价格信息，包括两阶段结构中的广义InvDEA概念。为此，本文提出了一种四阶段的方法来处理InvDEA概念，用两阶段的网络结构方法估算DMU的输入和输出，而所有单元的分配效率得分保持稳定。最终，给出了一个经验例子来说明所提出的方法的能力。