Abstract
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.
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Notes
- 1.
The smaller the Δε value we select, the more precise results we obtain.
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Acknowledgements
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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Li, Y., Chen, Y., Liang, L., Xie, J. (2014). DEA Models for Extended Two-Stage Network Structures. In: Cook, W., Zhu, J. (eds) Data Envelopment Analysis. International Series in Operations Research & Management Science, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-8068-7_12
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