区间DEA模型下的决策单元排序

区间DEA模型下的决策单元排序

马立杰¹,邓伟²,赵益军¹

1 山东大学数学与系统科学学院，山东济南250100；2山东建筑大学理学院，山东济南250100

收稿日期:2006-06-21 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 马立杰

Ranking DMUs under interval DEA model

MA Li-jie¹,DENG Wei¹,ZHAO Yi-jun¹

1. School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China；2 Department of Science, Shandong Architecture Univ., Jinan 250100, Shandong, China

Received:2006-06-21 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: MA Li-jie

摘要/Abstract

摘要： 给出基于输出的DEA模型下的区间有效值求法，同时从乐观和悲观两个角度去评价决策单元，从而得到了该决策单元有效值的一个区间. 进一步还可类似地定义该决策单元无效的一个区间.将上述方法与基于输入的DEA模型下的理论进行了对比，实例分析显示了两种模型在评价决策单元区间有效性上是一致的.

关键词: 数据包络分析, 区间有效, 区间无效

Abstract: A new DEA with an interval efficiency under outputDEA model is developed. An original DEA model is used to evaluate each DMU optimistically. A DEA model is formulated with an interval efficiency which consists of efficiencies obtained from the optimistic and pessimistic viewpoints. Thus, two end points can construct an interval efficiency. The interval inefficiency model, which is inverse to interval efficiency, can also be dealt with by the same idea. Finally, the two results under input DEA model and output DEA model are compared with each other respectively through an example, which confirm the consistency of the interval effectivities of decisionmaking units evaluated by these two models

Key words: interval inefficiency , interval efficiency, data envelopment analysis

马立杰,邓伟,赵益军 . 区间DEA模型下的决策单元排序[J]. J4, 2006, 41(6): 61-64 .

MA Li-jie,DENG Wei,ZHAO Yi-jun . Ranking DMUs under interval DEA model[J]. J4, 2006, 41(6): 61-64 .

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