基于偏序集理論的DEA有效判定方法及應用研究
發(fā)布時間:2019-01-08 08:31
【摘要】:數據包絡分析(Data Envelopment Analysis,DEA)是由美國著名運籌學家Charnes等人于1978年提出的一種效率評價方法,它是數學、經濟學和管理科學的一個新的交叉領域.經過三十多年的發(fā)展,DEA方法已經成為綜合評價的最主流方法之一. 雖然有關DEA的算法方面已經有了較多的研究,但是DEA有效性判別方法的研究遠沒有結束。本文從偏序集理論出發(fā),給出了帶有非阿基米德無窮小的判定模型,基于目標規(guī)劃的判定模型,基于線性規(guī)劃兩階段法的判定模型和基于兩階段法的算法設計,并將該方法與其他方法進行了比較研究.最后應用該方法對中國各省市高等教育教師結構與人才培養(yǎng)效率、草牧場承包對羊養(yǎng)殖業(yè)的影響等進行了分析.
[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.
【學位授予單位】:內蒙古大學
【學位級別】:碩士
【學位授予年份】:2012
【分類號】:G647;F224;F326.3
本文編號: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.
【學位授予單位】:內蒙古大學
【學位級別】:碩士
【學位授予年份】:2012
【分類號】:G647;F224;F326.3
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