具有偏好锥的链式网络DEA模型  

Chain Network DEA Model with Preference Cone

作　　者：魏权龄[1] 许余洁[1] 

机构地区：[1]中国人民大学经济学院,北京100872

出　　处：《数学的实践与认识》2010年第24期228-240,共13页Mathematics in Practice and Theory

基　　金：国家自然科学基金(70871114;70531040);中国人民大学基金(10XNG013)

摘　　要：对链式网络DEA模型进行推广,将"偏好锥"引入网络DEA模型.针对中间产出重要性以及决策者评价时的偏好,建立带有产出锥和投入锥相应的两阶段生产可能集,对具有"偏好锥"的链式网络DEA模型,证明了决策单元为网络DEA有效的充要条件,给出了网络DEA有效性与各阶段弱DEA有效性的关系.另外,文章结合具体算例说明了偏好锥的变化对效率评价的影响.关于两阶段的模型以及相关结论可以推广到多阶段网络结构.In this paper,we extend the series network DEA model by introducing ＂preference cone＂into network DEA.We establish the two-stage production possibility sets with output cone and input cone,according to the importance of intermediate outputs and the preferences of decision-makers while evaluating.This paper develops a necessary and sufficient condition for network DEA efficiency for network DEA with ＂preference cone＂,investigates the relationship between network DEA efficiency and stage weak DEA efficiency .Detailed example is presented to demonstrate the functions of preference cone,we also show that our conclusions can be extended to multi-stage network structure.

关 键 词：DEA 网络DEA 有效性 “偏好锥” 链式网络DEA模型 

分 类 号：F224[经济管理—国民经济]