具有可控和不可控要素的多目标DEA模型  

Multiobjective DEA models with controllable and uncontrollable factors

作　　者：王晓敏[1,2] 孔鹏志[1,2] 

机构地区：[1]上海交通大学数学系,上海200240 [2]上海交通大学安泰经济与管理学院,上海200240

出　　处：《系统工程与电子技术》2009年第6期1376-1380,共5页Systems Engineering and Electronics

摘　　要：建立输入输出要素部分可控和部分不可控的情况下的多目标DEA(data envelopment analysis)模型,通过其对偶模型和标量化,给出多目标DEA有效的概念并研究其性质。给出各种Pareto有效解的定义并建立其与多目标DEA有效的等价关系,通过将决策单元投影到生产前沿面上得到新的多目标DEA有效的决策单元,由此说明权重的作用。A multiobjective DEA model and its dual through weighting coefficients are put forward for the system with partial controllable and partial uncontrollable input and output factors. The multobjective DEA efficiency for a decision making unlt is defined and investigated. Some Pareto efficient solutions are also suggested and their equivalent relationships with multobjective DEA efficiency are established. A new multobjective DEA efficient unit, which is called a projection, can be got by projecting the unit onto the production foreland. The projection can be adjusted by changing the weighting coefficients.

关 键 词：数据包络分析模型 可控要素 不可控要素 多目标规划 有效解 

分 类 号：F224.12[经济管理—国民经济]