DEA cross-efficiency aggregation method based upon Shannon entropy

被引:82
作者
Wu, Jie [1 ]
Sun, Jiasen [1 ]
Liang, Liang [1 ]
机构
[1] Univ Sci & Technol China, Sch Management, He Fei 230026, An Hui Province, Peoples R China
关键词
data envelopment analysis (DEA); cross-evaluation; cross-efficiency; Shannon entropy; DATA ENVELOPMENT ANALYSIS; MODEL; PERFORMANCE; SELECTION;
D O I
10.1080/00207543.2011.618150
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Existing approaches for DEA cross-efficiency evaluation are mainly focused on the calculation of cross-efficiency matrix but pay little attention to the aggregation of the efficiencies in the cross-efficiency matrix. The most widely used approach is to aggregate the efficiencies in each row or column in the cross-efficiency matrix with equal weights into an average cross-efficiency score for each Decision Making Unit (DMU) and view it as the overall performance measurement of the DMU. This paper focuses on the aggregation process of the efficiencies in the cross-efficiency matrix and proposes the use of Shannon entropy for cross-efficiency aggregation. In the study, we propose an entropy model to generate a set of weights for aggregating and determining the ultimate cross-efficiency instead of the traditional average cross-efficiency. We prove that the set of weight is a unique global optimal solution which can reflect the goodness of this method. Finally, two examples of a flexible manufacturing system and 27 industrial robots are illustrated to examine the validity of the proposed method.
引用
收藏
页码:6726 / 6736
页数:11
相关论文
共 28 条
[11]  
2-2
[13]   Alternative secondary goals in DEA cross-efficiency evaluation [J].
Liang, Liang ;
Wu, Jie ;
Cook, Wade D. ;
Zhu, Joe .
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2008, 113 (02) :1025-1030
[14]   The DEA Game Cross-Efficiency Model and Its Nash Equilibrium [J].
Liang, Liang ;
Wu, Jie ;
Cook, Wade D. ;
Zhu, Joe .
OPERATIONS RESEARCH, 2008, 56 (05) :1278-1288
[15]   University library benchmarking: An international comparison using DEA [J].
Reichmann, G ;
Sommersguter-Reichmann, M .
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2006, 100 (01) :131-147
[16]   A UNIFIED FRAMEWORK FOR THE SELECTION OF A FLEXIBLE MANUFACTURING SYSTEM [J].
SHANG, J ;
SUEYOSHI, T .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1995, 85 (02) :297-315
[17]   A MATHEMATICAL THEORY OF COMMUNICATION [J].
SHANNON, CE .
BELL SYSTEM TECHNICAL JOURNAL, 1948, 27 (03) :379-423
[18]   Assessing computer numerical control machines using data envelopment analysis [J].
Sun, S .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2002, 40 (09) :2011-2039
[19]   A cone-ratio DEA approach for AMT justification [J].
Talluri, S ;
Yoon, KP .
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2000, 66 (02) :119-129
[20]   Measuring production and marketing efficiency using grey relation analysis and data envelopment analysis [J].
Wang, Rong-Tsu ;
Ho, Chien-Ta Bruce ;
Oh, K. .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2010, 48 (01) :183-199