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A general inverse DEA model for non-radial DEA
Zhang, GuoJun1,2; Cui, JinChuan1
2020-04-01
发表期刊COMPUTERS & INDUSTRIAL ENGINEERING
ISSN0360-8352
卷号142页码:7
摘要Traditional inverse DEA models could be called inverse radial DEA because they are based on radial efficiency measures. Due to the neglect of slacks in evaluating the efficiency score, inverse radial DEA may mislead decision-making in some cases where slacks play important roles. In this paper, we proposed an integrated framework of inverse DEA called inverse non-radial DEA since it is based on non-radial DEA by multi-objective programming, which covers existing inverse DEA models. To further illustrate the inverse non-radial DEA, we construct the concrete mathematical formula of inverse SBM and some properties. In contrast to the radial approach, inverse non-radial DEA can overcome the error caused by ignoring slacks and provides more valuable information about inputs and outputs for decision-making by considering slacks. Although inverse non-radial DEA models are usually non-linear, we can convert it into a one-dimensional search problem about efficiency score, which can be solved by many existing efficient algorithms. A practical example is provided to demonstrate the advantages of inverse non-radial DEA models over inverse radial DEA models.
关键词Inverse DEA Non-radial DEA SBM Multi-objective programming
DOI10.1016/j.cie.2020.106368
收录类别SCI
语种英语
资助项目Key Laboratory of Management, Decision and Information Systems, Chinese Academy of Science
WOS研究方向Computer Science ; Engineering
WOS类目Computer Science, Interdisciplinary Applications ; Engineering, Industrial
WOS记录号WOS:000525375800044
出版者PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/51092
专题应用数学研究所
通讯作者Zhang, GuoJun
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
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Zhang, GuoJun,Cui, JinChuan. A general inverse DEA model for non-radial DEA[J]. COMPUTERS & INDUSTRIAL ENGINEERING,2020,142:7.
APA Zhang, GuoJun,&Cui, JinChuan.(2020).A general inverse DEA model for non-radial DEA.COMPUTERS & INDUSTRIAL ENGINEERING,142,7.
MLA Zhang, GuoJun,et al."A general inverse DEA model for non-radial DEA".COMPUTERS & INDUSTRIAL ENGINEERING 142(2020):7.
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