区间DEA决策单元排序方法改进研究

详细信息

The Improvement Ranking Approaches for Interval DEA

School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要: 运用传统方法对区间DEA中的决策单元（DMU）进行排序时，会出现区间DEA有效的DMU具有相同效率值的情况，因此无法对所有DMU进行完全排序。借鉴效率值判别分析（DR）方法对区间DEA中DMU的排序方法进行了改进，形成了区间DR/DEA方法，通过利用该方法求得的因DMU 不同而各不相同的效率值，达到了对区间DEA中所有DMU进行完全排序的目的，最后给出了一个算例
- 区间DEA /
- 决策单元 /
- 排序 /
- 效率值判别分析
Abstract: The traditional approaches could not fully rank all the DMUs in interval DEA because the efficient DMUs have the same efficiency scores. In order to solve this problem, we combined the discriminant analysis of ratios (DR) method with interval DEA so as to establish a new approach: the interval DR/DEA method. The efficiency scores provided by this method is different from one DMU to another, therefore they can be used to fully rank all the DMUs in interval DEA. This method is demonstrated through an example in the end. 
- interval DEA /
- DMU /
- ranking /
- discriminant analysis of ratios

[1]	Chames A, Cooper W W, Rhodes E. Measuring the efficiency of decision making units[J]. European Journal of Operational Research,1978,2(6):429-444.
[2]	Cooper W W, Park K S, Yu G. IDEA and AR IDEA: models for dealing with imprecise data in DEA[J]. Management Science,1999,45(4):597-607.
[3]	周黔,王应明.区间DEA分析[J].预测,1999,18(3):51-53.
[4]	周黔,龚咸,王应明.区间DEA的一种排序方法[J].预测,1999,18(5):67-69.
[5]	郭均鹏,吴育华.区间数据包络分析的主客观求解[J].天津工业大学学报,2004,23( 3):77-79,84.
[6]	郭均鹏,吴育华. 超效率DEA模型的区间扩展[J].中国管理科学,2005,13(2).
[7]	周黔,王应明.区间DEA模型研究[J].预测,2001,20(1):78-80.
[8]	Sinuany-Stern Z, Friedman L. Data envelopment analysis and the discriminant analysis of ratios for ranking units[J]. European Journal of Operation al Research,1998,111(3):470-478.
[9]	梁樑,吴杰. 区间DEA的一种改进的充分排序方法[J].系统工程,2006,24(1):107-110.