首页 | 本学科首页   官方微博 | 高级检索  
     检索      

一种求解DEA决策单元有效性的算法
引用本文:王绍玉,周长生,马占新.一种求解DEA决策单元有效性的算法[J].湖南大学学报(自然科学版),2013,40(12):120-124.
作者姓名:王绍玉  周长生  马占新
作者单位:(1.哈尔滨工业大学 管理学院,黑龙江 哈尔滨150001;2.哈尔滨工业大学 建筑学院,黑龙江 哈尔滨150001;3.内蒙古大学 经济管理学院,内蒙古 呼和浩特010021)
摘    要:为了降低求解DEA模型决策单元有效性的误差及简化求解DEA模型决策单元有效性运算,在传统DEA模型线性规划的基础上,首先,消除了传统DEA模型线性规划中的非阿基米德无穷小,将传统DEA模型的线性规划转化为无非阿基米德无穷小的线性规划.其次,引入Poset集合,将无非阿基米德无穷小的线性规划转化为简约线性规划.最后给出一个数值实例,用新算法对实例进行计算.结果表明,新算法消除了非阿基米德无穷小,能够降低计算误差,而引入Poset集合降低了DEA模型的运算次数.

关 键 词:DEA  有效性  简约线性规划

An Algorithm for the Effectiveness of DEA Decision Making Units
WANG Shao-yu,ZHOU Chang-sheng,MA Zhan-xin.An Algorithm for the Effectiveness of DEA Decision Making Units[J].Journal of Hunan University(Naturnal Science),2013,40(12):120-124.
Authors:WANG Shao-yu  ZHOU Chang-sheng  MA Zhan-xin
Abstract:In order to reduce the error in solving the effectiveness of DEA decision making units (DMU''s) and to simplify the computation concerned, this paper applied the linear programming of traditional DEA models as the basis, and eliminated the non-Archimedean infinitesimal in the linear programming of traditional DEA models, which was converted into a linear programming without non-Archimedean infinitesimal, and then, further converted into a simple linear programming by introducing Poset set. At last, a numerical example was given and calculated with this new algorithm. The result reveals that this new algorithm eliminates the non-Archimedean infinitesimal and is able to reduce calculation errors. Meanwhile, the introduction of the Poset set reduces the operations of DEA models.
Keywords:data envelopement analysis(DEA)  effectiveness  simple linear programming
点击此处可从《湖南大学学报(自然科学版)》浏览原始摘要信息
点击此处可从《湖南大学学报(自然科学版)》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号