一种新的交叉效率保序方法研究——与纳什讨价还价交叉效率保序方法的比较

A New Rank Preservation Research in Cross Efficiency Method ——By Contrasting the Nash Bargaining Rank Preservation

交叉效率评估方法中在引入新的决策单元(DMU)时,可能会使原先的DMU排序发生变化,很难保序,给决策带来困惑。通过建立一个线性规划模型,求解各DMU最优权重,使其计算的各DMU综合交叉效率值与原综合交叉效率值的差值最小,进而可消除引入新DMU时所产生的逆序现象。最后用算例说明了该方法有效,计算结果与纳什讨价还价交叉效率保序性模型进行比较,效率值差异更小,计算量更小,各DMU权重更加合理。

when new DMUs are added in the cross efficiency method,the original rank of the DMUs may be changed,and it is difficult to rank preservation.Furthermore,it may the confusion to the decision-making.A linearity program model is built and the best weight of all the DMUs is gained by computing,which can make the difference of all the DMUs be least between the synthesized cross efficiency and original cross efficiency,and may eliminate the contradictory ranking.Lastly,an empirical example is illustrated to examine the validity of the proposed method.The result is improved by contrasting the Nash bargaining rank preservation model.The DMUs’weight is more rational,and the cross efficiency difference and the total compute work are less in the new model.