本文首先讨论ＤＥＡ相对效率指数及其对投入产出松驰量的处理方法。然后建立了判断ＤＥＡ有效决策单元的又一数学规划模型,并相应给出了决策单元ＤＥＡ有效的充要条件。最后依据所定义的平均横切效率指标,提出了一种新的ＤＥＡ有效决策单元排序方法.

This paper further examines the expression of the efficiency index in Data Envelopment Analysis (DEA) as well as the slacks in factor (input and output). Furthermore, it also introduces a new mathematical programming without the conventional Non-Archimedian infinite number ε for identifying efficient Decision-Making Units (DMUs). In addition, by virtue of the defined average cross-efficiency concept a new approach is suggested to rank the DMUs having been identified effecient.