混合规模收益类型决策单元的有效性评价方法  

Method for analyzing the efficiency of decision making units with mixed scale returns type

作　　者：马占新[1] 斯琴 MA Zhanxin;SI Qin(School of Economics and Management,Inner Mongolia University,Hohhot 010021,China;School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]内蒙古大学经济管理学院,呼和浩特010021 [2]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《系统工程理论与实践》2021年第7期1840-1854,共15页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(71661025,71261017);内蒙古自然科学基金(2016MS0705);内蒙古草原英才项目(12000-12102012)。

摘　　要：DEA方法要求被评价单元属于同类单元,其生产活动必须满足同样的规模收益类型.然而,现实中有些被评价决策单元的生产活动却可能服从不同的规模收益规律,原有的DEA方法并不能评价该类问题.为此,首先给出生产活动满足混合规模收益类型决策单元的有效性度量方法及相应的数学模型.然后,讨论了模型的相关性质.最后,应用该方法分析了某高校教师工作绩效评价问题.通过对比分析发现,本文方法在分析混合规模收益类型决策单元有效性方面具有一定优势.Data envelopment analysis(DEA)requires that the evaluated decision-making units belong to the same kind of units,and their production activities must satisfy the same law of scale return.However,in reality,the production activities of the evaluated decision making units may obey different rules of scale return,and the original DEA method can not evaluate such problems.Therefore this paper firstly gives a method to measure the efficiency of decision-making units with mixed law of scale returns and a corresponding mathematical model.Then,the related properties of the model are discussed.Finally,this method is applied to analyze the performance of teachers in a university.By a comparative analysis,it shows that this method in this paper has certain advantages for analyzing the effectiveness of decision making unit with mixed law of scale returns.

关 键 词：综合评价 数据包络分析 DEA有效 交叉类型 规模收益 

分 类 号：N94[自然科学总论—系统科学]