多目标DEA模型的多阶段评价分析  

The multi-stage discrimination using multi-objective DEA model

作　　者：李甫问[1] 孔鹏志[2] 

机构地区：[1]山东省济宁学院数学系,山东济宁273100 [2]上海交通大学安泰经济与管理学院,上海200052

出　　处：《山东大学学报（理学版）》2010年第2期31-36,共6页Journal of Shandong University(Natural Science)

摘　　要：工程项目某一分期实施阶段的无效率可能导致整体计划的无效,为了克服传统DEA模型评价这类阶段性问题的局限,及时发现并调整工程项目的无效阶段,借鉴具有不可控要素DEA模型的思想建立了多阶段DEA模型,同时考虑到单目标DEA模型的不足,进一步将多阶段DEA模型扩展为多目标模型。通过多目标DEA模型的多阶段评价分析解决了全局计划下的阶段评价问题,并能得到各阶段不同投入要素的调整比例。数理分析和数值模拟结果均表明上述多目标阶段评价具有可操作性,决策单元的阶段有效性比CCR模型的结论更加细致。The whole plan of a project may become inefficient because of the inefficiency of some implementation phase. The traditional DEA model can not be used to deal with such stagewise operation problems. In order to avoid the limitation of the traditional DEA model, a multi-stage DEA model was set up based on the idea of the DEA model with an uncontrollable factor. Simultaneously, considering the shortage of the single DEA model, the multi-stage DEA model was extended to be the multi-objective one. Then, the phase evaluation could be carried out by the multi-stage multi-objective DEA model, and the different improved proportions of inputs could be obtained at the same time. The mathematical analysis and numerical simulation results showed that the above mentioned methodology was operable, and the results were more detailed than that using the CCR model.

关 键 词：数据包络分析(DEA) 不可控要素 多目标 多阶段 

分 类 号：O221.6[理学—运筹学与控制论]