KMS Of Academy of mathematics and systems sciences, CAS
A general inverse DEA model for non-radial DEA | |
Zhang, GuoJun1,2; Cui, JinChuan1![]() | |
2020-04-01 | |
发表期刊 | COMPUTERS & INDUSTRIAL ENGINEERING
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ISSN | 0360-8352 |
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 |
DOI | 10.1016/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 |
推荐引用方式 GB/T 7714 | 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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