矩阵型网络DEA模型解的存在性及其性质

J4 ›› 2012, Vol. 50 ›› Issue (05): 907-911.

矩阵型网络DEA模型解的存在性及其性质

程昀^1,2, 杨印生¹, 盛学之³

1. 吉林大学管理学院, 长春 130025； 2. 山东大学威海分校机电与信息工程学院, 山东威海 264209；3. 密歇根州立大学数学系, 美国东兰辛 48823

收稿日期:2012-04-06 出版日期:2012-09-26 发布日期:2012-09-29
通讯作者: 杨印生 E-mail:yys@jlu.edu.cn

Existence and Properties of Solution forMatrixType Network DEA Model

CHENG Yun^1,2, YANG Yinsheng¹, SHENG Xuezhi³

1. College of Management, Jilin University, Changchun 130025, China|2. School of Mechanical,Electrical &|Information Engineering, Shandong University at Weihai, Weihai 264209, Shandong Province, China；3. School of Mathematics, |Michigan State University, Eastlansing 48823, USA

Received:2012-04-06 Online:2012-09-26 Published:2012-09-29
Contact: YANG Yinsheng E-mail:yys@jlu.edu.cn

摘要/Abstract

摘要：

通过建立矩阵型网络DEA模型解决了矩阵型网络结构的相对有效性评价问题. 证明了新模型解的存在性, 并讨论了决策单元弱DEA有效与相应多目标规划弱Pareto解的关系. 结果表明, 新模型在矩阵型网络结构相对有效性评价方面可行、有效.

关键词: 矩阵型网络结构；网络DEA；弱DEA有效；弱Pareto解

Abstract:

The matrixtype network DEA model was established for evaluating the relative performance of the matrixtype structure. The existence of the solution for the new model was proved and the relationship between weak DEA efficiency and weak pareto was discussed. The result shows that it is feasible for one to use the new model to evaluate the relative performance of the matrixtype structure.

Key words: martixtype organization, network DEA, weak DEA efficiency, weak Pareto solution

中图分类号:

O221.1

程昀, 杨印生, 盛学之. 矩阵型网络DEA模型解的存在性及其性质[J]. J4, 2012, 50(05): 907-911.

CHENG Yun, YANG Yi-Sheng, CHENG Hua-Zhi. Existence and Properties of Solution forMatrixType Network DEA Model[J]. J4, 2012, 50(05): 907-911.