A Revised Inverse Data Envelopment Analysis Model Based on Radial Models

doi:10.3390/math8050803

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	A Revised Inverse Data Envelopment Analysis Model Based on Radial Models
	Hu, Xiaoyin 1,2; Li, Jianshu 1,2; Li, Xiaoya 2; Cui, Jinchuan 2
刊名	MATHEMATICS
	2020-05-01
卷号	8 期号:5 页码:17
关键词	data envelopment analysis efficiency index multi-objective programing slacks
DOI	10.3390/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
出版者	MDPI
WOS记录号	WOS:000542738100204
内容类型	期刊论文
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.