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http://dx.doi.org/10.11627/jksie.2022.45.3.057

Multi-period DEA Models Using Spanning Set and A Case Example  

Kim, Kiseong (Department of Industrial and Information Systems Engineering, Jeonbuk National University)
Lee, Taehan (Department of Industrial and Information Systems Engineering, Jeonbuk National University)
Publication Information
Journal of Korean Society of Industrial and Systems Engineering / v.45, no.3, 2022 , pp. 57-65 More about this Journal
Abstract
DEA(data envelopment analysis) is a technique for evaluation of relative efficiency of decision making units (DMUs) that have multiple input and output. A DEA model measures the efficiency of a DMU by the relative position of the DMU's input and output in the production possibility set defined by the input and output of the DMUs being compared. In this paper, we proposed several DEA models measuring the multi-period efficiency of a DMU. First, we defined the input and output data that make a production possibility set as the spanning set. We proposed several spanning sets containing input and output of entire periods for measuring the multi-period efficiency of a DMU. We defined the production possibility sets with the proposed spanning sets and gave DEA models under the production possibility sets. Some models measure the efficiency score of each period of a DMU and others measure the integrated efficiency score of the DMU over the entire period. For the test, we applied the models to the sample data set from a long term university student training project. The results show that the suggested models may have the better discrimination power than CCR based results while the ranking of DMUs is not different.
Keywords
Data Envelopment Analysis; Multi-period Efficiency; Spanning Set; Production Possibility Set;
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