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生产可能集为凸包时的相对有效性评价模型
引用本文:刘迎洲,位刚,李建明.生产可能集为凸包时的相对有效性评价模型[J].运筹与管理,2012(1):201-204.
作者姓名:刘迎洲  位刚  李建明
作者单位:西北农林科技大学理学院;西北农林科技大学园艺学院
基金项目:国家“863”项目(2001AA247012)
摘    要:给出了一个评价决策单元相对有效性的新的DEA模型,它所对应的生产可能集被称为凸包形生产可能集,同时讨论了该模型解的存在性,定义了决策单元技术DEA有效和"上投影"的概念,断定一个决策单元的"上投影"相对于原来的决策单元是技术DEA有效的。最后给出一个应用新模型进行设施农业效率评价的例子。

关 键 词:相对有效性评价  线性规划  数据包络分析  生产可能集  凸包

A Model for Measuring the Relative Efficiency of Decision Making Units with Production Possibility Set of Convex Hull Type
LIU Ying-zhou,WEI Gang,LI Jian-ming.A Model for Measuring the Relative Efficiency of Decision Making Units with Production Possibility Set of Convex Hull Type[J].Operations Research and Management Science,2012(1):201-204.
Authors:LIU Ying-zhou  WEI Gang  LI Jian-ming
Institution:1.College of Sciences of Northwest AF University,Yangling 712100,China;2.Horticulture College of Northwest AF University,Yangling 712100,China)
Abstract:In this paper,we give a new DEA model,which can be used to evaluate the efficiency of decision making units when the production possibility set is a convex hull.We also give the concept of technical DEA efficiency and the concept of "up projection",and point out that the "up projection" of a decision making units is the technical DEA efficiency relative to set of the initial decision making units.Finally,we use the model to evaluate the data of sugar beet ’s test.
Keywords:relative efficiency evaluation  llnear programming  DEA  production possibility set  convex hull
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