基于偏序集理论的DEA有效判定方法及应用研究
发布时间：2019-01-08 08:31
【摘要】：数据包络分析(Data Envelopment Analysis,DEA)是由美国著名运筹学家Charnes等人于1978年提出的一种效率评价方法,它是数学、经济学和管理科学的一个新的交叉领域.经过三十多年的发展,DEA方法已经成为综合评价的最主流方法之一. 虽然有关DEA的算法方面已经有了较多的研究,但是DEA有效性判别方法的研究远没有结束。本文从偏序集理论出发,给出了带有非阿基米德无穷小的判定模型,基于目标规划的判定模型,基于线性规划两阶段法的判定模型和基于两阶段法的算法设计,并将该方法与其他方法进行了比较研究.最后应用该方法对中国各省市高等教育教师结构与人才培养效率、草牧场承包对羊养殖业的影响等进行了分析.
[Abstract]:Data Envelopment Analysis (Data Envelopment Analysis,DEA) is an efficiency evaluation method proposed by Charnes et al in 1978. It is a new cross field of mathematics, economics and management science. After more than 30 years of development, DEA method has become one of the most popular methods of comprehensive evaluation. Although more research has been done on the algorithm of DEA, the study of DEA validity is far from over. Based on the theory of partial ordered set, this paper presents a decision model with non-Archimedes infinitesimal, a decision model based on objective programming, a decision model based on two-stage linear programming and an algorithm design based on two-stage method. The method is compared with other methods. Finally, the structure of higher education teachers and the efficiency of talent training in various provinces and cities of China, and the influence of grass pasture contract on sheep breeding were analyzed by using this method.
【学位授予单位】：内蒙古大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：G647;F224;F326.3
本文编号：2404357
[Abstract]:Data Envelopment Analysis (Data Envelopment Analysis,DEA) is an efficiency evaluation method proposed by Charnes et al in 1978. It is a new cross field of mathematics, economics and management science. After more than 30 years of development, DEA method has become one of the most popular methods of comprehensive evaluation. Although more research has been done on the algorithm of DEA, the study of DEA validity is far from over. Based on the theory of partial ordered set, this paper presents a decision model with non-Archimedes infinitesimal, a decision model based on objective programming, a decision model based on two-stage linear programming and an algorithm design based on two-stage method. The method is compared with other methods. Finally, the structure of higher education teachers and the efficiency of talent training in various provinces and cities of China, and the influence of grass pasture contract on sheep breeding were analyzed by using this method.
【学位授予单位】：内蒙古大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：G647;F224;F326.3
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