Journal of Korean Society of Industrial and Systems Engineering (산업경영시스템학회지)

Society of Korea Industrial and System Engineering (한국산업경영시스템학회)
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Multi-period DEA Models Using Spanning Set and A Case Example

생성집합을 이용한 다 기간 성과평가를 위한 DEA 모델 개발 및 공학교육혁신사업 사례적용

  • Kim, Kiseong (Department of Industrial and Information Systems Engineering, Jeonbuk National University) ;
  • Lee, Taehan (Department of Industrial and Information Systems Engineering, Jeonbuk National University)
  • 김기성 (전북대학교 산업정보시스템공학과 / 일반대학원 산업시스템공학과) ;
  • 이태한 (전북대학교 산업정보시스템공학과 / 일반대학원 산업시스템공학과)
  • Received : 2022.07.28
  • Accepted : 2022.09.07
  • Published : 2022.09.30
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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.

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Acknowledgement

이 논문은 정부(교육부)의 재원으로 한국연구재단의 지원을 받아 수행된 기초연구사업임(NRF-2018R1D1A1B07048505)

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