具有可控和不可控要素的多目标DEA模型

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (6): 1376-1380.

具有可控和不可控要素的多目标DEA模型

王晓敏^1,2, 孔鹏志^1,2

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

收稿日期:2008-04-12 修回日期:2009-09-04 出版日期:2009-06-20 发布日期:2010-01-03
作者简介:王晓敏(1962- ),女,副教授,博士,主要研究方向为多目标规划.E-mail:xmwang@sjtu.edu.cn

Multiobjective DEA models with controllable and uncontrollable factors

WANG Xiao-min^1,2, KONG Peng-zhi^1,2

1. Dept. of Math., Shanghai Jiaotong Univ., Shanghai 200240, China;
2. Antai Coll. of Economics & Management, Shanghai Jiaotong Univ., Shanghai 200240, China

Received:2008-04-12 Revised:2009-09-04 Online:2009-06-20 Published:2010-01-03

摘要/Abstract

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。

Abstract: 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 unit 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.

中图分类号:

F224.12

王晓敏, 孔鹏志. 具有可控和不可控要素的多目标DEA模型[J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1376-1380.

WANG Xiao-min, KONG Peng-zhi. Multiobjective DEA models with controllable and uncontrollable factors[J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1376-1380.