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A Revised Inverse Data Envelopment Analysis Model Based on Radial Models

文献类型：期刊论文

作者Hu, Xiaoyin1,2; Li, Jianshu1,2; Li, Xiaoya2; Cui, Jinchuan2
刊名MATHEMATICS
出版日期2020-05-01
卷号8期号:5页码:17
关键词data envelopment analysis efficiency index multi-objective programing slacks
DOI10.3390/math8050803
英文摘要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.
资助项目Key Laboratory of Management, Decision and Information Systems, CAS
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000542738100204
出版者MDPI
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51669]  
专题应用数学研究所
通讯作者Hu, Xiaoyin
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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