用于广义DEA有效性的度量方法

发布时间：2018-01-15 18:24

本文关键词：用于广义DEA有效性的度量方法　出处：《系统工程与电子技术》2016年11期 　论文类型：期刊论文

【摘要】：在广义数据包络分析方法(data envelopment analysis,DEA)有效性度量方面还存在以下两个问题有待解决:第一,当广义DEA模型无可行解时,尽管被评价单元本身是有效的,但却无法用具体数值刻画其有效程度;第二,当单元为广义DEA有效时,某些单元的效率值存在被高估的情况。为解决这些问题,首先给出一个拓展的广义DEA模型。然后,给出了一种判定广义DEA模型存在无可行解情况的充要条件,以及单元效率被高估的判定条件。同时给出测定单元效率的3种方法,并讨论这些方法与原有测定方法的关系。最后,通过实际例子进行了对比研究。
[Abstract]:There are two problems to be solved in the method of generalized data envelopment analysis: first, there are two problems to be solved in the measurement of data envelopment analysis. When there is no feasible solution for the generalized DEA model, although the unit under evaluation is efficient, it is impossible to describe its effectiveness by numerical value. Secondly, when the unit is generalized DEA efficiency, the efficiency of some units is overestimated. In order to solve these problems, an extended generalized DEA model is given. In this paper, a necessary and sufficient condition for determining the existence of an unfeasible solution for a generalized DEA model is given, and the conditions for the unit efficiency to be overestimated are also given, and three methods for determining the unit efficiency are given. The relationship between these methods and the original methods is discussed. Finally, a comparative study is carried out through practical examples.
【作者单位】：内蒙古大学经济管理学院;内蒙古大学数学科学学院;
【基金】：国家自然科学基金(71261017,71661025) 内蒙古自然科学基金(2016MS0705) 内蒙古草原英才项目(12000-12102012) 天津市教委社会科学重大项目(2012ZD35)资助课题
【分类号】：F224
【正文快照】： 网络优先出版地址:http://www.cnki.net/kcms/detail/11.2422.TN.20160706.1959.010.html0引言数据包络分析方法(data envelopment analysis,DEA)是由文献[1]提出的,目前已在诸多领域得到成功应用和迅速发展。传统DEA方法以所有决策单元(以下简称单元)的输入输出为参考点,采用

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