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Sequential data envelopment analysis
Annals of Operations Research ( IF 4.4 ) Pub Date : 2021-01-09 , DOI: 10.1007/s10479-020-03924-x
Rolf Färe , Valentin Zelenyuk

We consider a new class of Data Envelopment Analysis (DEA) modeling, which we call ‘sequential DEA’. This new approach is a relatively simple generalization of the standard and popular in practice DEA. It allows for analyzing efficiency of the decision making units that consist of a sequence of sub-DMUs (e.g., branches of banks, hospital holding company running a number of hospitals at different locations, hotel chains, etc.). The approach is embedded in the Hilbert sequence space (\(\ell ^{2}\)) and therefore it allows for potentially different numbers of the sub-DMUs as well as different numbers of inputs and outputs used by different decision making units. We hope this approach will open up a new stream of literature in the sense that many existing variations from the already rich literature on DEA can be adapted to this approach.



中文翻译:

顺序数据包络分析

我们考虑一类新的数据包络分析(DEA)建模,我们将其称为“顺序DEA”。这种新方法是标准的相对简单的概括,并且在实践中非常流行。它允许分析由一系列子DMU(例如,银行的分行,在不同位置经营多家医院的医院控股公司,酒店连锁店等)组成的决策单位的效率。该方法嵌入在希尔伯特序列空间(\(\ ell ^ {2} \)中),因此它允许潜在数量不同的子DMU以及不同决策单元使用的不同数量的输入和输出。我们希望这种方法将开辟新的文献流,因为从已经丰富的DEA文献中可以找到许多现有的变体,可以适应这种方法。

更新日期:2021-01-10
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