Journal of Systems Engineering and Electronics ›› 2018, Vol. 29 ›› Issue (4): 780-788.doi: 10.21629/JSEE.2018.04.12

• Systems Engineering • Previous Articles     Next Articles

Data envelopment analysis procedure with two non-homogeneous DMU groups

Ye CHEN*(), Liangpeng WU(), Bo LU()   

  • Received:2017-10-18 Online:2018-08-01 Published:2018-08-30
  • Contact: Ye CHEN E-mail:chenye@nuaa.edu.cn;1017379408@qq.com;lubo1991@163.com
  • About author:CHEN Ye was born in 1974. He received his Ph.D. degree from University of Waterloo, Canada. He is a professor with the College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, China. He has published papers in journals including European Journal of Operational Research, Computers and Operations Research, Decision Support Systems, IEEE Transactions on Systems, Man, and Cybernetics, Socio-Economic Planning Sciences, and Journal of Systems Science and Systems Engineering. His research interests include multiple criteria decision analysis, efficiency analysis, and conflict analysis. E-mail: chenye@nuaa.edu.cn|WU Liangpeng was born in 1991. He received his B.S. degree in Xuzhou University of Technology in 2013. He made research from 2013 to 2016 as a master candidate in University of South China. He is now pursuing his Ph.D. degree in the College of Economics and Management, Nanjing University of Aeronautics and Astronautics. His research interests include efficiency analysis, multiple criteria decision analysis and multiple objective optimization. E-mail: 1017379408@qq.com|LU Bo was born in 1991. He received his B.S. degree in Xidian University in 2014. He is currently pursuing his master's degree in the College of Economics and Management, Nanjing University of Aeronautics and Astronautics. His research interests include efficiency analysis and multiple criteria decision analysis with applications. E-mail: lubo1991@163.com
  • Supported by:
    ccthe National Natural Science Foundation of Chinac(71471087);This work was supported by the National Natural Science Foundation of China (71471087)

Abstract:

The classic data envelopment analysis (DEA) model is used to evaluate decision-making units' (DMUs) efficiency under the assumption that all DMUs are evaluated with the same criteria setting. Recently, new researches begin to focus on the efficiency analysis of non-homogeneous DMU arose by real practices such as the evaluation of departments in a university, where departments argue for the adoption of different criteria based on their disciplinary characteristics. A DEA procedure is proposed in this paper to address the efficiency analysis of two non-homogeneous DMU groups. Firstly, an analytical framework is established to compromise diversified input and output (IO) criteria from two nonhomogenous groups. Then, a criteria fusion operation is designed to obtain different DEA analysis strategies. Meanwhile, Friedman test is introduced to analyze the consistency of all efficiency results produced by different strategies. Next, ordered weighted averaging (OWA) operators are applied to integrate different information to reach final conclusions. Finally, a numerical example is used to illustrate the proposed method. The result indicates that the proposed method relaxes the restriction of the classical DEA model, and can provide more analytical flexibility to address different decision analysis scenarios arose from practical applications.

Key words: data envelopment analysis (DEA), non-homogeneous decision-making unit (DMU), criteria fusion, Friedman test, ordered weighted averaging (OWA) operator