DEA Models for Extended Two-Stage Network Structures

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 208)


This chapter discusses DEA modeling technique for a two-stage network process where the inputs of the second stage include both the outputs from the first stage and additional inputs to the second stage. Two models are proposed to evaluate the performance of this type two-stage network structures. One is a non-linear centralized model whose global optimal solutions can be estimated using a heuristic search procedure. The other is a non-cooperative model, in which one of the stages is regarded as the leader and the other is the follower. The newly developed models are illustrated with a case of regional R&D of China.


Data envelopment analysis (DEA) Two-stage Game 



This research is supported by National Natural Science Foundation of China under Grants (No. 70901070, 71271196 and 70821001), the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (No. 71121061), the National Science Foundation of China for Distinguished Youth Scholars (No. 71225002), the Chinese Universities Scientific Fund (WK2040150005) and the Fund for International Cooperation and Exchange of the National Natural Science Foundation of China (No. 71110107024).

Part of the materials are based upon Li et al. (2012) with permission from Elsevier.


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Yongjun Li
    • 1
  • Yao Chen
    • 2
  • Liang Liang
    • 1
  • Jianhui Xie
    • 1
  1. 1.School of BusinessUniversity of Science and Technology of ChinaHe FeiP.R. China
  2. 2.Manning School of BusinessUniversity of Massachusetts at LowellLowellUSA

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