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A Revised Inverse Data Envelopment Analysis Model Based on Radial Models
Hu, Xiaoyin1,2; Li, Jianshu1,2; Li, Xiaoya1; Cui, Jinchuan1
2020-05-01
发表期刊MATHEMATICS
卷号8期号:5页码:17
摘要In recent years, there has been an increasing interest in applying inverse data envelopment analysis (DEA) to a wide range of disciplines, and most applications have adopted radial-based inverse DEA models. However, results given by existing radial based inverse DEA models can be unreliable as they neglect slacks while evaluating decision-making units' (DMUs) overall efficiency level, whereas classic radial DEA models measure the efficiency level through not only radial efficiency index but also slacks. This paper points out these disadvantages with a counterexample, where current inverse DEA models give results that outputs shall increase when inputs decrease. We show that these unreasonable results are the consequence of existing inverse DEA models' failure in preserving DMU's efficiency level. To rectify this problem, we propose a revised model for the situation where the investigated DMU has no slacks. Compared to existing radial inverse DEA models, our revised model can preserve radial efficiency index as well as eliminating all slacks, thus fulfilling the requirement of efficiency level invariant. Numerical examples are provided to illustrate the validity and limitations of the revised model.
关键词data envelopment analysis efficiency index multi-objective programing slacks
DOI10.3390/math8050803
收录类别SCI
语种英语
资助项目Key Laboratory of Management, Decision and Information Systems, CAS
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000542738100204
出版者MDPI
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/51670
专题应用数学研究所
通讯作者Hu, Xiaoyin
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
Hu, Xiaoyin,Li, Jianshu,Li, Xiaoya,et al. A Revised Inverse Data Envelopment Analysis Model Based on Radial Models[J]. MATHEMATICS,2020,8(5):17.
APA Hu, Xiaoyin,Li, Jianshu,Li, Xiaoya,&Cui, Jinchuan.(2020).A Revised Inverse Data Envelopment Analysis Model Based on Radial Models.MATHEMATICS,8(5),17.
MLA Hu, Xiaoyin,et al."A Revised Inverse Data Envelopment Analysis Model Based on Radial Models".MATHEMATICS 8.5(2020):17.
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