Extended Models to Non-uniqueness of Cross Efficiency in Cross Efficiency Evaluation
Cross efficiency evaluation has been considered as a powerful extension tool of Data Envelopment Analysis that provides,not only a unique ordering among the Decision Making Units (DMUs), but also eliminates unrealistic weighting schemes without requiring the elicitation of weight restrictions from application area experts. But a factor which possibly reduces the usefulness of cross evaluation method is that the ultimate cross efficiency may not be unique because the weights which maximize evaluated DMUs simple efficiency may not be unique. This paper seeks to extend the model of Doyle and Green (1994), in which the ultimate cross efficiency of every DMU is achieved by introducing a secondary objective function. In this paper, different secondary objective functions are used to determine the ultimate cross efficiency, and the proposed models with the objective functions different from each other can be applied under different circumstances denoting different meanings.
Data envelopment analysis (DEA) Cross efficiency
Wu Jie Liang Liang
School of Management, University of Science and Technology of China P.R.China, 230026
国际会议
第六届管理学国际会议(Proceedings of ICM2007 the 6th International on Management)
武汉
英文
443-447
2007-08-03(万方平台首次上网日期,不代表论文的发表时间)