Advertisement

Annals of Operations Research

, Volume 206, Issue 1, pp 585–592 | Cite as

Further study of production possibility set and performance evaluation model in supply chain DEA

  • Zhongbao Zhou
  • Mei Wang
  • Hui Ding
  • Chaoqun Ma
  • Wenbin Liu
Short Note

Abstract

Performance evaluation is an importance issue in supply chain management. Yang et al. (Ann. Oper. Res. 38(6):195–211, 2011) defined two types of supply chain production possibility sets and proved the equivalence between them. Based on the sub-perfect CRS production possibility set, they proposed a supply chain DEA model to appraise the overall technical efficiency of supply chains. The relationship among efficiency scores of the proposed model, CCR models of system and subsystems are discussed. However, we find that the equivalence between the two types of supply chain production possibility sets is not correct. The proofs of their three theorems are all problematic. In this paper, we correct some results and give three new proofs.

Keywords

Data envelopment analysis Supply chain management Production possibility set Performance evaluation Two-stage system 

References

  1. Alfonso, E., Kalenatic, D., et al. (2010). Modeling the synergy level in a vertical collaborative supply chain through the IMP interaction model and DEA framework. Annals of Operations Research, 181(1), 813–827. CrossRefGoogle Scholar
  2. Biehl, M., Cook, W., et al. (2006). The efficiency of joint decision making in buyer-supplier relationships. Annals of Operations Research, 145(1), 15–34. CrossRefGoogle Scholar
  3. Chen, C., & Yan, H. (2011). Network DEA model for supply chain performance evaluation. European Journal of Operational Research, 213(1), 147–155. CrossRefGoogle Scholar
  4. Chen, Y., Liang, L., et al. (2006). A DEA game model approach to supply chain efficiency. Annals of Operations Research, 145(1), 5–13. CrossRefGoogle Scholar
  5. Cook, W. D., Liang, L., et al. (2010). Measuring performance of two-stage network structures by DEA: a review and future perspective. Omega, 38(6), 423–430. CrossRefGoogle Scholar
  6. Yang, F., Wu, D., et al. (2011). Supply chain DEA: production possibility set and performance evaluation model. Annals of Operations Research, 185(1), 195–211. CrossRefGoogle Scholar
  7. Zhou, Z., Sun, L., et al. (2013). A bargaining game model for efficiency decomposition in the centralized model of two-stage systems. Computers & Industrial Engineering, 64(1), 103–108. CrossRefGoogle Scholar
  8. Zhu, J. (2004). A buyer-seller game model for selection and negotiation of purchasing bids: extensions and new models. European Journal of Operational Research, 154(1), 150–156. CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Zhongbao Zhou
    • 1
  • Mei Wang
    • 1
  • Hui Ding
    • 1
  • Chaoqun Ma
    • 1
  • Wenbin Liu
    • 1
    • 2
  1. 1.School of Business AdministrationHunan UniversityChangshaChina
  2. 2.Kent Business SchoolUniversity of KentCanterburyUK

Personalised recommendations