具有独立子系统的DEA模型及其应用  

DEA Models with Independent Subsystems and Their Application

作　　者：段永瑞[1] 田澎[2] 张卫平[3] 

机构地区：[1]同济大学经济与管理学院,上海200092 [2]上海交通大学管理学院,上海200052 [3]上海交通大学信息存储研究中心,上海200030

出　　处：《管理工程学报》2006年第1期27-31,共5页Journal of Industrial Engineering and Engineering Management

基　　金：国家自然科学基金资助项目(70271040)

摘　　要：考虑到现有的DEA模型基本都是针对单系统的,而仅有的多系统模型[10]也是在假设决策单元相互独立并且不存在规模收益的条件下给出的,本文首先建立了3个评价具有独立子系统的决策单元相对有效性的DEA模型,即假设存在规模收益的模型(1),允许存在组内合作的模型(2),组内与组间都可以进行合作的模型(3),并通过分析3个模型之间的关系得到了决策单元通过组内或者组间合作带来的收益,同时证明了模型的一些性质以及决策单元相对有效与子系统相对有效之间的关系,进而应用这3个模型对1997年我国制造业的东、西、中三个区域的域内以及域间合作问题作了研究。结果表明:本文建立的模型不仅可以得到不同省市制造业的整体效率,而且还可以得到各省市制造业的不同行业的效率以及通过域内或域间合作带来的收益,从而得到运作和管理效率低下的根本原因。In view of he existing DEA models mostly aim at single systems, the only model for complex system is advanced with the assumption that the decision-making units is independent of each other and does not exhibit returns to scale, three DEA models with independent subsystems i. e. DEA model with variable returns to scale, DEA model offering cooperation in the group and DEA model offering cooperation among groups are proposed firstly. Some property and the relationship of the efficiency between the whole system and the subsystems axe also discussed. Efficiency gains from regional cooperation and province cooperation within the same region are investigated by applying these models to the Chinese province manufacturing industry＇s development data in 1997. The results indicate that by using models advanced in this paper, one can not only get the efficiency of every prince as a whole, but also the efficiency of every industry and the efficiency gains from regionlizaiton as well. As a result, the real reason for inefficiency is obtained.

关 键 词：独立子系统 数据包络分析 系统相对有效 子系统相对有效 组内合作 组间合作 

分 类 号：F224[经济管理—国民经济]