Central European Journal of Operations Research

, Volume 27, Issue 4, pp 1221–1244 | Cite as

The network data envelopment analysis models for non-homogenous decision making units based on the sun network structure

  • Qingyou Yan
  • Fei Zhao
  • Xu Wang
  • Guoliang Yang
  • Tomas BaležentisEmail author
  • Dalia Streimikiene
Original Paper


This paper seeks to propose a network data envelopment analysis (DEA) framework for analysis of heterogeneous systems. The paper introduces the dummy connector so that every network structure can be transformed into the sun network structure. In his case, the dummy connector allows for heterogeneity of the decision making units (DMUs) in terms of their inner structure. Based on the sun network structure, the static and dynamic network DEA models are established. Thus, DMUs with different structures can be evaluated according to the static and dynamic network DEA models. The efficiency of each sub-unit, each period and each sub-unit in each period can also be obtained. Two simulated examples are presented using the static and dynamic DEA models.


Data envelopment analysis (DEA) Network DEA Dynamic DEA Dummy connector Heterogeneous structures Sun network structure 



This research is funded by the European Social Fund according to the activity ‘Improvement of researchers’ qualification by implementing world-class R&D projects’ of Measure No. 09.3.3-LMT-K-712. This research was supported by the 111 Project (No. B18021).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Economics and ManagementNorth China Electric Power UniversityBeijingChina
  2. 2.Institutes of Science and DevelopmentChinese Academy of SciencesBeijingChina
  3. 3.Lithuanian Institute of Agrarian EconomicsVilniusLithuania

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