基于不同决策情境的DEA交叉效率目标设置方法  

DEA cross-efficiency target setting approach based on different decision-making context

作　　者：陈磊 王应明[1] CHEN Lei;WANG Yingming(School of Economics&Management,Fuzhou University,Fuzhou 350108,China;Research Center of Fujian Economic High Quality Development,Fuzhou University,Fuzhou 350108,China)

机构地区：[1]福州大学经济与管理学院,福州350108 [2]福州大学福建经济高质量发展研究中心,福州350108

出　　处：《系统工程理论与实践》2021年第10期2683-2695,共13页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(71801050,72171052);福建省自然科学基金(2019J01637)。

摘　　要：交叉效率方法虽然克服了传统DEA方法效率虚高的问题,但也丧失了其能够制定效率改进目标的优势.因此,本文通过分析交叉效率的评价机制来挖掘阻碍DMU设置效率改进目标的根源,并针对只改进产出、只改进投入、同时改进投入与产出三种不同的决策情境,分别构建DEA交叉效率目标设置方法,以此在生产可能集的范围内寻求交叉效率最优的目标DMU.在此基础上,揭示不同DMU的目标设置规律,研究传统交叉效率方法对目标设置的影响,并将目标设置方法进一步拓展到所有DMU共同设置目标的决策情境中.最后,通过案例分析和方法对比来说明本文方法的有效性与实用性.Although the cross-efficiency method solves the efficiency overestimation problem of the traditional DEA method,it loses the advantage of setting target for improving efficiency.Therefore,by analyzing the evaluation mechanism of cross-efficiency method,this paper identifies the source,which hinders DMU to set the improvement target,and constructs DEA cross-efficiency target setting approaches in three different decision-making contexts,i.e.,improving outputs only,improving inputs only,and improving inputs and outputs at the same time,so as to search the target DMU with the optimal cross-efficiency in the scope of production possibility set.On this basis,this paper reveals the rules of target setting for different DMUs,and studies the impact of traditional cross-efficiency method on setting target,and then the target setting approach is further extended to the decision-making context where all DMUs set their targets together.Finally,the validity and practicability of the new approaches are illustrated by case analysis and method comparison.

关 键 词：数据包络分析 交叉效率 目标设置 决策情境 生产可能集 

分 类 号：N94[自然科学总论—系统科学]