Soft Computing

, Volume 22, Issue 16, pp 5525–5533 | Cite as

Sustainability evaluation of the supply chain with undesired outputs and dual-role factors based on double frontier network DEA

  • Yi SuEmail author
  • Wei Sun


The performance analysis of supply chain is a very complicated problem. The network DEA can be used to calculate efficiency of decision-making units with multiple stages. In this paper, a new network DEA model is proposed. This model includes undesired outputs and dual-role factors. It can calculate optimistic and pessimistic efficiency. The supply chain can be ranked in terms of the overall efficiency scores. A case study is presented to demonstrate the applicability of our model.


Network data envelopment analysis Sustainable supply chain Undesired outputs Dual-role factors 



This study was funded by the National Natural Science Foundation of China (71403066; 71774036; 71601087); National Social Science Foundation of China (14AGL004; 16BJY078); the Special Foundation of Central Universities Basic Research Fee (HEUCFW170907, HEUCF170903).

Compliance with ethical standards

Conflict of interest

Author Yi Su declares that he has no conflict of interest. Author Wei Sun declares that she has no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.


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Copyright information

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

Authors and Affiliations

  1. 1.Academy of Economics and ManagementHarbin Engineering UniversityHarbinPeople’s Republic of China
  2. 2.Science CollegeHarbin Engineering UniversityHarbinPeople’s Republic of China

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